UvA-DARE is a service provided by the library of the University of Amsterdam (http://dare.uva.nl) UvA-DARE (Digital Academic Repository) Computer models in bedside physiology Zhang, Y. Link to publication Citation for published version (APA): Zhang, Y. (2013). Computer models in bedside physiology. General rights It is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulations If you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: https://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. Download date: 30 Mar 2020
130
Embed
UvA-DARE (Digital Academic Repository) Computer models in ... · Computer models in bedside physiology Zhang, Y. Link to publication Citation for published version (APA): Zhang, Y.
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
UvA-DARE is a service provided by the library of the University of Amsterdam (http://dare.uva.nl)
UvA-DARE (Digital Academic Repository)
Computer models in bedside physiology
Zhang, Y.
Link to publication
Citation for published version (APA):Zhang, Y. (2013). Computer models in bedside physiology.
General rightsIt is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s),other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons).
Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, statingyour reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Askthe Library: https://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam,The Netherlands. You will be contacted as soon as possible.
Pinit Initial equilibrium pressure of arrested circulation 5 mmHg
Fmax_chest Maximum external force on sternum 400 N
X0 Effective compression threshold 2 cm
Table 3 Blood flow Abbreviations and definitions
Abbreviation Definition
ic Blood flow in both carotid arteries
ih Blood flow in the head vasculature
ij Blood flow in both jugular veins
ii The input blood flow to thoracic
io The output blood flow from thoracic
iht Blood flow in coronary vessels(heart)
ia Blood flow in the aorta
is Blood flow in residential systemic vasculature
iv Blood flow in the inferior vena cava
ifa Blood flow in both femoral arteries
ifv Blood flow in both femoral veins
i2 Blood flow in the pulmonary veins
i3 Blood flow between central and peripheral pulmonary arteries
i4 Blood flow in the pulmonary capillaries
i5 Blood flow in between central and peripheral pulmonary veins
i6 Blood flow in the left atrium
Optimal cardiopulmonary resuscitation
29
Table 4 Volumes and pressures: Abbreviations and definitions
Abbreviation Definition
Blood volume
Vaa Blood volume in the abdominal aorta
Vivc Blood volume in the inferior vena cava
Via Blood volume in both iliac arteries
Vfa Blood volume in both femoral arteries
Vfv Blood volume in both femoral veins
Blood pressure
Pao Blood pressure of thoracic aorta
Paa Blood pressure of the abdominal aorta
Pivc Blood pressure of the inferior vena cava
Pfa Blood pressure of both femoral arteries
Pra Blood pressure of the right atrium
Pfv Blood pressure of the femoral veins
Peecp Compression pressure to lower body
Pabd compression pressure to the abdomen
CPP Coronary perfusion pressure
Chapter 2
30
There are 14 compartments in the model; there are 14 pairs of formulas to describe the
relationship between pressure and volume. ‘P’ stands for pressure, ‘V’ stands for volume, and
Subscripts indicate which compartment the formulas describe.
( )
[ ]
car c h
car jugao car
c h
carcar
car
V i i t
P PP Pt
R R
VP
C
(1)
( )
[ max(0, )]
jug h j
car jug jug ra
h j
jugjug
jug
V i i t
P P P Pt
R R
VP
C
(2)
When the chest is compressed, the organs in the chest pump undergo different pressure
weights. ‘F(t)’ is the chest compression force, ‘PM’ is the pressure to the mediastinum, ‘Plung’ is
the pressure to the lungs. ‘ftp’ is thoracic pump factor; more information in references 2, 3.
1 1( ) 0F t kx x (3)
1 2
0
( )M
E x xP
d
(4)
1[ ]lung monthlung L
lung airway
P PdtdP x A
C R
(5)
3 4( )
[ ]
ppa
pa ppa ta tv
cppa pa
ppappa lung
ppa
V i i t
P P P Pt
R R
VP P
C
(6)
Optimal cardiopulmonary resuscitation
31
4 5( )
[ ]
ppv
ppa ppv ppv la
pc cppv
ppvppv lung
ppv
V i i t
P P P Pt
R R
VP P
C
(7)
10
( )
[max(0, ) ]
ao o c a ht
lv ao ao car ao car ao ra
av c a ht
paao lung tp
pa
V i i i i t
P P P P P P P Pt
R R R R
V EP P f x t
C d
(8)
2 3
10
( )
[max(0, ) ]
pa
rv pa pa ppa
pv cppa
papa lung tp
pa
V i i t
P P P Pt
R R
V EP P f x t
C d
(9)
10
( )
[max(0, ) max(0, )]
( )
ra j v ht i
jug ra ivc ra ao ra ra rv
j v ht tv
ra rara lung tp
ra ra
V i i i i t
P P P P P P P Pt
R R R R
V VEP P f x t
C d A
(10)
2
10
( )
[max(0, ) max(0, )]
( )
rv i
rv para rv
tv pv
rv rvrv lung
rv rv
V i i t
P PP Pt
R R
V VEP P x t
C d A
(11)
5 6
10
( )
[ max(0, )]
( )
la
ppv la la lv
cppv mv
la lala lung tp
la la
V i i t
P P P Pt
R R
V VEP P f x t
C d A
(12)
Chapter 2
32
6
10
( )
[max(0, ) max(0, )]
( )
lv o
la lv lv ao
mv av
lv lvlv lung
lv lv
V i i t
P P P Pt
R R
V VEP P x t
C d A
(13)
When the abdomen is compressed in IAC-CPR, the abdominal aorta and inferior vena
cava are directly exposed to the compression pressure.
( )
[ ]
aa a s ia
aa faao aa aa ivc
a s ia
aaaa abd
aa
V i i i t
P PP P P Pt
R R R
VP P
C
(14)
( )
[ ) max(0, )]
ivc s v fv
fv ivcaa ivc ivc ra
s v iv
ivcivc abd
ivc
V i i i t
P PP P P Pt
R R R
VP P
C
(15)
When the lower body is compressed in EECP-CPR, it undergoes the compression
pressure directly.
)],0max([)(1
][)(1
iv
ivcfv
l
fvfa
fvlfvl
fvlfv
l
fvfa
ia
faaa
fallia
falfa
R
PP
R
PP
C
tPtii
CPP
R
PP
R
PP
C
tPtii
CPP
(16)
33
Chapter3
AbdominalcounterpressureinCPR:Whataboutthelungs?
Aninsilicostudy
Yanru Zhang and John M. Karemaker
This chapter had been published as:
Zhang Y and Karemaker JM. Abdominal counter pressure in CPR: What about the lungs? An in
silico study. Resuscitation 83: 1271‐1276, 2012.
The appendix of chapter 2 equally applies to the model used in this chapter.
Chapter 3
34
Abstract
The external pumping action in CPR should generate sufficient flow and pressure, but the
pump must also be ‘primed’ by ongoing venous return. Different additions to standard CPR
are in use just for this purpose. Active decompression of the thorax (ACD‐CPR) to ‘suck in’
venous blood has proven successful, but, theoretically, compression of venous reservoirs in
the abdomen should be even more effective. We compared different techniques for
improved CPR with specific attention to the pulmonary circulation. We did our comparisons
‘in silico’ rather than ‘in vivo’ in a well‐evaluated computer model.
Methods: We used an adapted version of Babb’s computer model for CPR, reprogrammed in
Matlab®. 1) We compared standard chest compression‐only CPR (CO‐CPR) and ACD‐CPR to
CPR with interposed abdominal compression (IAC‐CPR). 2) Since the thorax/heart
configuration differs between patients, and consequently the way blood is propelled by the
chest compressions, we checked the influence of the ratio thoracic/cardiac pump
effectiveness.
Results: 1) Only IAC‐CPR leads to physiological values for mean aortic pressure and cardiac
output. 2) However, since the whole heart is in the pressure chamber of the compressed
thorax, pulmonary artery pressure rises to about the same level as aortic pressure. In practice,
this might lead to pulmonary edema during and after CPR, unless 3) Intra‐abdominal
compression pressure is strictly limited; simulations indicate that intra‐abdominal pressure
should not exceed 30‐40 mmHg.
Conclusions: IAC‐CPR outperforms the other techniques in achieving good aortic pressure
and cardiac output. However, abdominal pressure should be limited.
CPR-optimisation and the lungs
35
Introduction
Mechanical adjunct devices which do more than just compressing the thorax to improve CPR
have been proposed and tried in various studies (1‐6).Despite the initial high hopes of the
inventors, to date these CPR techniques fail to give consistently better outcomes than
standard CPR (S‐CPR) (7‐9). In 2010 the AHA published its updated guidelines (10) for how
and when to perform Cardiopulmonary Resuscitation (CPR). The new guidelines devote only
1.5 out of 330 pages to the option of more complex, possibly machine‐supported, modalities
of CPR in view of the lack of supporting clinical evidence (10,11).One wonders why praxis is
lagging behind, since it makes perfect sense, theoretically, to improve venous return by
intermittent abdominal in counter phase with thoracic compressions (IAC‐CPR).
In early 2011 the Lancet published a large randomized, multicenter trial that shows improved
outcome of CPR when the effect of chest compressions is supported by mechanical devices
(12), these are: A hand‐held suction cup with handle placed on the thorax to support active
thoracic recoil in the relaxation phase (ACD‐CPR) and an impedance‐threshold valve (ITV) to
connect to a facemask or advanced airway access that would not open until intrathoracic
pressure would fall below – 16 cm H2O pressure. The latter was in place to promote venous
return during the supported chest recoil phase. The Lancet study thus encourages adjuncts to
S‐CPR. It showed that ACD‐CPR with ITV gave the same survival rate, but better neurological
function than S‐CPR (12). The only significant adverse effect where intervention‐ and S‐CPR
groups differed was in the prevalence of pulmonary edema: 11% in the intervention group
(94/840) compared to 8% (62/813) in the SCPR group. This inspired us further to elaborate on
our earlier modeling work (13), looking more specifically into the pulmonary effects of
increased venous return during CPR.
For the present study, we used a computer model to simulate compression‐only (CO‐CPR)
following the new (2010) guidelines, i.e. 100 compressions per minute, no breaks for chest
inflation; next ACD‐CPR with and without ITV and, additionally, CPR with Interposed
abdominal compression (IAC‐CPR). The aim was to explore favorable and potentially
unfavorable hemodynamic changes produced by augmented CPR techniques compared to
standard manual CPR, specifically looking at the effects of improved venous return. For the
purpose of this theoretical study, we used a well‐known mathematical model of the
circulation and the application of CPR, which has been developed and extensively published
by Babbs (14‐16). A computer model allows analyzing the effects of alternative CPR
techniques on many aspects of the cardiovascular and respiratory systems at the same time.
Chapter 3
36
In the experimental laboratory, this would require sacrificing many experimental animals and
in the clinic, it would be next to impossible. In the model we checked the effects on systemic
and pulmonary pressures, ventricular pressures, flow to vital organs and so on. Our working
hypothesis was that the CPR techniques with supported venous return may have side effects
which prevent them from reaching their full beneficial effect.
CPR-optimisation and the lungs
37
Methods
Modeldescription
The computer model used is essentially Babbs’ circulatory model, programmed in Matlab® as
we used it in earlier studies; details are in (13,15). In short, the model simulates a 70‐kg adult,
it includes four heart chambers, the pulmonary circulation, the thoracic aorta feeding an
upper body compartment and an abdominal compartment, the latter feeds the lower body
(legs, buttocks) compartment. CPR is modeled by the application of external forces to the
various compartments. Figure1A gives a mechanical representation of the model, Figure1B its
electrical analogue as used in the calculations; Table 1 in the Appendix to chapter 2
summarizes the most important model parameters; Table 1A gives the resistances in the
model, Table 1B the compliances, initial volumes and unstressed volumes in all
compartments. The model supposes a constant blood volume of 4.36 liters, the subject starts
in the condition of cardiac arrest, where blood flow has stopped and the blood volume is
distributed over the various compartments in relation to their volume compliance. The mean
filling pressure in the systemic circulation was chosen to be 5 mmHg (17) that of the
pulmonary circulation 8 mmHg while supine.
Figure 1 A: Schematic of the circulation under CPR. ACD: Alternating Compression‐Decompression, IAC: Interposed Abdominal Compression, ITV: Impedance threshold valve, impeding inflow of air at negative intrathoracic pressures. NV: Niemann’s valve, preventing reverse venous flow from the thorax to head and neck. VV: venous valves in the legs, preventing reverse venous flow from the abdominal compartment. The (upper) arterial side is connected by lumped Starling resistors to the (lower) venous side.
Chapter 3
38
Figure 1 B: Electrical analogue of the circulation as used in the calculations. Top: the whole circulation; Bottom: the details inside the chest pump. Symbols as explained in Appendix: Table 1.
When CPR is started, chest compression simultaneously increases intrathoracic and
mediastinal pressure, the first one working on all compartments in the chest, the second one
leading to compression of the heart between sternum and spine. Both contribute as
CPR-optimisation and the lungs
39
‘circulatory pumps’ to the generation of flow and blood pressure. We followed Babbs’ model
in attributing 75% of the CPR effect to the ‘thoracic pump’ and ‘25% to the ‘cardiac pump’
effects (15). As this choice influences the result, we also checked various other values of this
factor.
Abdominal compression is supposed to lead to an immediate pressure increase within the
abdomen, compressing in particular the capacity veins feeding the right heart, but also the
abdominal aorta, giving the effect of an aortic balloon pump, and changing diastolic runoff.
Babbs’ original model does not include abdominal wall mechanics, which in general is much
less of a hindrance to externally applied pressures. Therefore, we assumed a homogeneous
pressure in the abdominal cavity, following the set time pattern not bothering about how
much pressure was applied to the outside to generate this inside pressure.
The model does not take displacement of the diaphragm into account, neither during
thoracic nor abdominal compression. Computed pressures in the aorta (minus right atrial
pressure) lead to organ flow, depending on the estimated resistances of the various organs
(brain in particular). To get a realistic estimate of coronary flow, we suppose that no flow
passes while the heart is being compressed.
CPRtechniques
We simulated three different CPR techniques: first chest‐compression only CPR (CO‐CPR) as
applied by one rescuer and Active Compression‐Decompression CPR (ACD‐CPR) with and
without an impedance–threshold valve (ITV) as in the Lancet study (12). Furthermore, we
implemented one technique that combines thorax ‐ with abdomen compression in the
relaxation phase to support venous return, i.e. Interposed Abdominal Compression CPR
(IAC‐CPR). Two rescuers together, one administering thorax compression and the other one
compressing the abdomen in counter phase, can administer this (3,18).
In keeping with the new guidelines, a compression frequency of 100/min is used for all
techniques; no time is devoted to ventilation. The chest is compressed by a force of 400 N, or
around 40 kilo’s, which clinically relates to a depth of 5.1 cm; non‐overlapping half‐sinusoids
with 50% duty cycle are used (15,19) as external pressure waveforms. A force of 150 N
supports active decompression of the thorax in ACD‐CPR; abdominal compression is
supposed to result in (up to) 100 mmHg intra‐abdominal pressure in IAC‐CPR. The latter two
are also shaped as half‐sinusoids, with 50% duty cycle in exact counter phase to the thorax
compressions.
Chapter 3
40
Results
EffectsofvariousCPRtechniques
The successive columns of Table 1 show that with increasing complexity of the applied
technique the numbers get better: higher aortic pressures, higher CO. Indeed, by using
IAC‐CPR almost physiological levels for mean aortic pressure and cardiac output can be
reached. Figure 2 demonstrates how this is obtained: in the phase of abdominal compression,
thoracic aortic pressures rise again due to increased systemic vascular resistance during
diastolic runoff. In line with the definitions for the working heart, we have defined diastolic
pressures as those pressures at the start of thorax compression.
Figure 2: Aortic (Pao fat –red‐ line) and peripheral pulmonary venous pressures (Pppv thin –blue‐ line) during Interposed Abdominal Compression CPR (IAC‐CPR) at a compression rate of 100/min, abdominal compression pressure: 40mmHg, thoracic pump factor of 0.75.
Table 1 also shows that ACD‐CPR, indeed, gives better results than CO‐CPR, only slightly
improved by the addition of an ITV. However, none of these 3 techniques gives very
satisfactory pressures or cardiac output, while the 4th technique IAC‐CPR, can easily overdo it:
at increasing abdominal pressures the forced venous return leads to overly increased values
CPR-optimisation and the lungs
41
for ventricular end‐diastolic and pulmonary artery pressures. All numbers indicate that
pulmonary capillary pressures will be above normal plasma colloid osmotic pressures (around
25‐30 mmHg (20)), which may cause acute pulmonary edema. However, one may well ask to
what extent these results are due to choices made in the modeling process, in particular the
division between cardiac pump and thoracic pump. In the computations for Table 1 a thoracic
pump factor of 0.75 was used.
Table 1. Blood pressures and flows for the tested CPR‐techniques. Thoracic pump factor is 0.75
Ventilation/ITV CO‐CPR‐ ACD‐CPR
No ITV
ACD‐CPR
With ITV
IAC‐CPR
No ITV
IAC‐CPR
No ITV
IAC‐CPR
No ITV
AC‐CPR
No ITV
Chest comp/decomp
(force in N) 400/‐ 400/150 400/150 400/‐ 400/‐ 400/‐ 400/‐
All pressures are in mmHg. Pao: aortic pressure; Plv: left ventricular pressure; Ppa: pulmonary arterial pressure; Prv: right ventricular pressure; Pppv: peripheral pulmonary veins; sys: systolic pressure; dia: diastolic pressure; end‐dia: end‐diastolic pressure. CO: cardiac output; Qheart: coronary blood flow; Qhead: blood flow to neck and head; AC‐CPR: abdominal compression CPR (the pressure is no longer interposed, but continuous).
Chapter 3
42
Cardiacvsthoracicpump
The ‘cardiac pump’ theory supposes that forward blood flow is caused by direct compression
of the heart under the sternum (with blood flow similar to an intact circulation); while the
‘thoracic pump’ theory supposes that blood flow is secondary to changes in intrathoracic
pressure (21). The exact contribution of either pump mechanism in a specific case is unknown
(21‐24),and may depend on thorax‐heart configuration: a deep thorax translating
CPR‐pressure more into a thoracic pump effect, a flat (or child’s‐) thorax more into a cardiac
pump effect. Therefore, we tested how the alternative attribution of ‘thoracic pump’ or
‘cardiac pump’ might influence the results. In the model a thoracic pump factor 0 implies a
pure cardiac pump, 1 a pure thoracic pump.
Figure 3 Top: Effects of thoracic pump factor in CO‐CPR (cardiac pump factor + thoracic pump factor = 1); a higher thoracic pump fraction leads to lower aortic pressures and higher pulmonary pressures. A thoracic pump factor = 0 is comparable to direct cardiac massage. Chest compression force: 400 N.
Bottom: Effects of thoracic pump factor in IAC‐CPR; a higher thoracic pump factor has little effect on aortic pressures and leads to higher pulmonary pressures. Chest compression Force: 400 N; abdominal compression pressure: 100 mmHg.
CPR-optimisation and the lungs
43
Figure 3 top shows the hemodynamic effects on CO‐CPR when the thoracic pump factor
changes from 0 to 1: diastolic and mean aortic pressures (left panel) decrease and all
pulmonary pressures (right panel) increase. Figure 3 bottom shows the same for IAC‐CPR, (in
the computations a peak abdominal pressure of 100 mmHg was assumed). Here the effects
on aortic pressures are less outspoken, much more those on peripheral pulmonary venous
pressures. Even at a pure cardiac pump effect (thoracic pump factor = 0) the pressure in the
pulmonary capillaries will be too high at this abdominal pressure. Therefore we chose to look
for an optimal abdominal pressure that would prevent acute pulmonary edema.
OptimizationofIAC‐CPR
If mean pulmonary capillary pressure exceeds plasma colloid osmotic pressure (around
25‐30 mmHg), pulmonary edema may be expected to occur. To prevent this, we tried a range
of abdominal pressures, from 0 to 100 mmHg, at a thoracic pump factor of 0.75. Figure 4
shows that Pppv (the model’s approximation of pulmonary capillary pressure) exceeds a
value of 30 mmHg when abdominal compression pressure is higher than 30 mmHg; at this
point CO is 1.8 L/min and mean aortic pressure around 43 mmHg.
Figure 4 Effects of abdominal compression pressure in IAC‐CPR. Thoracic pump factor is set to 0.75; chest compression force: 400 N; abdominal compression pressure: 0‐100 mmHg. The point of 30 mmHg (mean) peripheral pulmonary venous pressure is shown as upper limit above which pulmonary edema due to hydrostatic pressure may occur. At that level mean aortic pressure is ca. 43 mmHg and cardiac output 1.8 L/min.
Chapter 3
44
Discussion
This study shows that CO‐CPR may be improved upon: better systemic pressures and cardiac
output can be reached by improving venous return and increasing lower body vascular
resistance as in IAC‐CPR. However, these improvements come at a price: the lungs are at risk.
In the early papers where IAC‐CPR was applied, the authors looked specifically for damage to
abdominal organs (4, 25). They took great care in how and how much pressure was applied,
and thereby they were able to prevent abdominal trauma. We have shown that peripheral
pulmonary venous pressures may run very high during IAC‐CPR (Figure 3) with the inherent
risk of pulmonary edema, which may prevent successful resuscitation or lead to protracted
problems after return of spontaneous circulation. In an experimental study in dogs Kern et al
(26) showed that IAC‐CPR led to 3/10 cases of pulmonary edema vs. 1/10 in 2 alternative
–chest compression only ‐ CPR techniques. In a critical review of the clinical use of IAC‐CPR
Ward (9) ascribed the variability in its outcome to its inconsistency to improve coronary
perfusion pressure (CPP) compared to S‐CPR. Although he did not mention pulmonary edema,
he did notice that at various ways to exert abdominal compression the induced abdominal
pressures rise above 100 mmHg, even up to 150 mmHg. The resulting increase in right atrial
pressure was supposed to be the cause of decreased CPP. In our study we did not find a
diminution of CPP under IAC‐CPR compared to CO‐CPR, even while accounting for the aortic
to right atrial pressure drop and setting cardiac perfusion to zero in the phase of thorax
compression.
As to the damage of the lungs that is hypothesized in our study: what is lacking to make our
case, are systematic data from thorax X‐ray after successful CPR and/or autopsy data on
lungs after unsuccessful attempts. In the early years of CPR a few reports have been devoted
to the problem of pulmonary edema (27, 28). Probably more data are available in many
clinics where the more intense machine‐supported CPR is in use for unshockable cardiac
arrest, but except for a few publications (29, 30)it seems that detailed analysis and reporting
of pulmonary pathology is not part of standard CPR follow‐up.
In this study, we have shown that increased venous return by active decompression of the
thorax, but even more by abdominal compression leads to better organ flow in the absence
of a spontaneous rhythm. However, there seem to be limits to ‘better pressures and better
venous return’: the wall of the right ventricle might be endangered when venous return is
increased too much with ensuing increased diastolic pressures in the ventricle. Moreover, the
high pressures in the pulmonary circulation may lead to acute pulmonary edema, shifting the
CPR-optimisation and the lungs
45
cause of death from cardiac arrest to suffocation. Of course, this prospect may not
discourage rescuers from starting CPR in the best possible way; pulmonary edema can be
resolved over time, after return of spontaneous circulation. This complication that might be
present immediately after successful CPR should be recognized and properly treated.
In view of the two competing mechanisms that explain the effects of CPR: the thoracic pump
and the cardiac pump, one might argue that active abdominal compression in fact adds a
third pump, in series with the thoracic and cardiac pump (31). As is the case with two
locomotives that combine forces to pull a heavy train, one should take care that not one
locomotive is doing all the pulling or pushing, including the other one. In the case of the two
CPR‐pumps together, our modeling points to the lungs as being ‘caught in the middle’ This
might call for a new look at CPR, for instance applying the compression/suction cup to the
abdomen and reversing the ITV, so as to block outflow of air up to a certain pressure. That
might prevent many of the known dangers of present‐day CPR, like broken ribs, cardiac
contusion and pulmonary edema. Alternatively a G‐suit‐like device may be applied to the
abdomen and legs. In many ambulances these are available as inflatable supports to stabilize
broken legs or to support the circulation after extensive loss of blood. Rubal et al. (32)
studied the effects of constant G‐suit inflation in healthy subjects by left and right heart
catheterization. They showed that inflation pressures >40 mmHg can significantly increase
both cardiac and pulmonary pressures. In a swine model of CPR Lottes et al. ( 33) tested the
effect of a constantly inflated G‐suit. They applied G‐suit pressures up to 200 mmHg which
resulted in improvements like those obtained by vasopressor drugs. In our model a
continuous intra‐abdominal pressure of around 40 mmHg (Table 1, last column) gives about
the same pressures, systemic and pulmonary, as IAC‐CPR at the same abdominal value.
However, flows are considerably less: these are comparable to CO‐CPR.
A short survey of available human and animal experimental data shows a consistent lack of
measurements on the low‐pressure side of the circulation. We consider our study to be
successful when in follow‐up experimental CPR‐studies more often a Swan‐Ganz catheter is
used.
Studylimitations:This computer model is based on anatomy and physiology, combined with experimental data
when these were available. Elaborate studies, implementing other options to improve CPR,
have been published by Babbs (16,34,35). In animal experiments higher aortic pressures than
in our simulations have sometimes been observed (36). However, those were acute
Chapter 3
46
experiments in animals with healthy hearts (and lungs), probably not comparable to the
‘average’ human heart suddenly going into cardiac arrest due to a build‐up of underlying
cardiac pathology. What is not modeled is the effect of abdominal compression on
displacement of the diaphragm and thereby compression of the thoracic contents (lungs and
heart).
No attempts have been made here to incorporate the effects of oxygenation by
mouth‐to‐mouth breathing or otherwise. However limited, a model is just as good as the
assumptions that were input to it. In particular the supposed linearity of many anatomical
and physiological systems is a simplification to keep models practical. Since this particular
model covers a large range of pressure‐ and volume changes, differences between model and
outcome in praxis must exist.
Conclusions:This study shows that there is room for improvement of CPR by proper choice of parameters
for thorax and/or abdominal compression. However, this has its limits: more is not always
better. Too much venous return, combined with effective thorax and heart compression may
unduly increase pulmonary pressure, thereby exposing the lungs to the risk of acute edema.
Post‐CPR checks of pulmonary damage by X‐ray or autopsy should be a standard follow‐up on
CPR, be it successful or unsuccessful.
References1. Cohen TJ, Tucker KJ, Lurie KG, et al. Active compression‐decompression. A new method
of cardiopulmonary resuscitation. Cardiopulmonary Resuscitation Working Group. JAMA
1992; 267: 2916‐23.
2. Lurie KG, Shultz JJ, Callaham ML, et al. Evaluation of active compression‐decompression
CPR in victims of out‐of‐hospital cardiac arrest. JAMA 1994; 271: 1405‐11.
3. Ralston SH, Babbs CF, Niebauer MJ. Cardiopulmonary resuscitation with interposed
abdominal compression in dogs. Anesth Analg 1982; 61: 645‐51.
4. Sack JB, Kesselbrenner MB, Bregman D. Survival from in‐hospital cardiac arrest with
interposed abdominal counterpulsation during cardiopulmonary resuscitation. JAMA
1992; 267: 379‐85.
5. Tang W, Weil MH, Schock RB, et al. Phased chest and abdominal
compression‐decompression. A new option for cardiopulmonary resuscitation.
Circulation 1997; 95: 1335‐40.
6. Yuan H, Jiang L, Xu W, Yuan S, He G. Hemodynamics of Active
Compression‐Decompression CPR with Enhanced External Counterpulsation and the
CPR-optimisation and the lungs
47
Inspiratory Impedance Threshold Valve. Lingnan Journal of Emergency Medicine 2007;
Yanru Zhang, Olav R. de Peuter, Pieter W. Kamphuisen, John M. Karemaker
This chapter has been published as:
Zhang Y, de Peuter OR, Kamphuisen PW, and Karemaker JM. Search for HRV‐parameters that
detect a sympathetic shift in heart failure patients on beta‐blocker treatment. Frontiers in
Physiol 4: 81, 2013.
Chapter 4
52
Abstract
Background: A sympathetic shift in heart rate variability (HRV) from high, beat‐to‐beat, to
lower frequencies may be an early signal of deterioration in a monitored patient. Most
chronic heart failure (CHF) patients receive ß‐blockers. This tends to obscure HRV observation
by increasing the fast variations. We tested which HRV parameters would still detect the
change into a sympathetic state.
Methods and results: ß‐blocker (Carvedilol®) treated CHF patients underwent a protocol of
10 minutes supine rest, followed by 10 minutes active standing. CHF patients (NYHA Class
II‐IV) n=15, 10m/5f, mean age 58.4 years (47‐72); healthy controls n=29, 18m/11f, mean age
62.9 years (49‐78). Interbeat intervals (IBI) were extracted from the finger blood pressure
wave (Nexfin®). Both linear and nonlinear HRV analyses were applied that (1) might be able
to differentiate patients from healthy controls under resting conditions and (2) detect the
change into a sympathetic state in the present short recordings. Linear: mean‐IBI, SD‐IBI,
rMSSD (root mean square of successive differences), pIBI‐50 (the proportion of intervals that
differs by more than 50 ms from the previous), LF, HF and LF/HF ratio. Nonlinear: SampEn
(sample entropy), MSE (Multiscale entropy) and derived: MSV (Multiscale variance) and MSD
(Multiscale rMSSD).
In the supine resting situation patients differed from controls by having higher HF and,
consequently, lower LF/HF. In addition their longer range (τ=6‐10) MSE was lower as well.
The sympathetic shift was, in controls, detected by mean‐IBI, rMSSD, pIBI‐50 and LF/HF, all
going down; in CHF by mean‐IBI, rMSSD, pIBI‐50 and MSD (τ=6‐10) going down. MSD6‐10
introduced here works as a band‐pass filter favoring frequencies from 0.02‐0.1Conclusions: In
ß‐blocker treated CHF patients, traditional time domain analysis (mean‐IBI, rMSSD, pIBI‐50)
and MSD6‐10 provide the most useful information to detect a condition change.
HRV parameters that detect a sympathetic shift
53
Introduction
Heart rate variability (HRV) analysis has seen an increasing interest since the early work of
B.McA. Sayers in the 1970’s (21), picking up speed since the 1980’s (1, 3, 16). However, these
analysis techniques still have not made it to the bedside, probably due to the fact that
equipment manufacturers do not offer standard solutions in ECG‐monitors to provide
intricate HRV‐data. Only recently, some HRV‐analysis methods have sneaked into the clinic by
a ‘stealth’ method, hidden in algorithms that give a generalized ‘alert value’ to a patient
condition, based on observation of a series of vital parameters (11, 25, 29).
In the present study we tried a clinical approach to a problem that has received little
attention in biomedical literature. It has been fairly well established that chronic heart failure
patients (CHF) have different heart rate variability patterns compared to matched healthy
controls (10, 35). However, many of those patients will be on ß‐blocker therapy, which has a
strong influence on both HR and HRV (14, 23, 30, 32). Under these circumstances HRV has
been shown to improve towards normal (27, 30), a fact that might mask an underlying
developing disease status. We therefore tested which HRV‐analysis technique might be able
to give early warning when there is a ‘slipping of’ in the sympathetic direction of the
autonomic balance. To test this we used recordings in CHF patients who went from supine to
upright, as a simple model to reduce vagal outflow to the heart and induce generalized
sympathetic activation. For this study we had a set of 21 recordings in CHF‐patients on
Carvedilol® treatment that has been fully described earlier (39). In view of the practical
applicability in situations where a diagnosis should be available after a short period of
recording only, we were wondering if the 10 minutes in supine posture followed by 10
minutes upright that we had were sufficient to answer two questions:
1) Is there still a distinction health/disease when comparing the supine recordings in ß‐blocker
treated CHF patients to those from matched, healthy controls? And
2) Can HRV‐analysis demonstrate an intra‐individual shift towards a more sympathetic state
when comparing the upright to the supine recording, even in this group of ß‐blocker treated
patients?
The first question is of importance for a quick triage of patients, the second to detect a
deterioration of a patient’s health before a ‘normal’ alarm would sound.
Chapter 4
54
We decided to test a number of obvious linear measures, from the time domain: mean‐IBI
(interbeat interval), SD‐IBI (standard deviation), rMSSD (root mean square of successive
differences of IBI’s), pIBI‐50 (proportion of pairs of successive IBI’s that differ by more than
50 ms) and from the frequency domain: LF, HF and LF/HF (Low Frequency around 0.1 Hz,
High Frequency, i.e. respiratory frequency, mostly around 0.25 Hz, and their quotient). In
view of earlier studies where the use of short recordings for non‐linear analysis has been
analyzed (4, 24, 26, 40), we decided to use SampEn (sample entropy (34) and MSE or
Multi‐Scale Entropy (13)). The latter method computes entropy over progressively coarser
grained versions of the original series. As a by‐product we considered the variances
(Multiscale variance or MSV) and multiscale root mean square of successive differences
(MSD) of those newly constructed series as well.
A successful analysis method or combination of methods should be able to do the triage
(question 1) as well as detect the sympathetic shift (question 2) within the limits of the 20
minute recordings that were available.
HRV parameters that detect a sympathetic shift
55
Methods
Studypopulation
Patients
The patient recordings had been made in the study that has extensively been described in
(39). In short: 21 CHF patients (NY Heart Assoc. classification II‐IV) participated in a study that
was directed to discrimination of ß‐blocker sensitivity depending on the specific ß2‐receptor
subtype that was present in the patient. In a double‐blind cross‐over design they received the
non‐selective ß‐blocker Carvedilol® (Eucardic, Roche, Mijdrecht, Netherlands) or the selective
metoprolol succinate (Selokeen ZOC, AstraZeneca, Zoetermeer, Netherlands) as ß‐blocker for
6 weeks. Both drugs were titrated to equipotent dosages, additionally checked by resting
heart rate. Since recordings made under Carvedilol showed fewer extrasystoles and other
rhythm disturbances, we have restricted our study to the recordings made after 6 weeks on
this drug. It should be mentioned here, that Carvedilol is known to also have α1‐blocking
properties, without intrinsic sympathetic activity (17).
Patients had given their written informed consent after study approval by the local Ethics
committee. Due to problems with too frequent premature ventricular contractions and
erroneous blood pressure tracings, 6 out of the original 21 patient recordings (39) under
Carvedilol had to be rejected. This left data of 15 CHF patients for the present study, 10/5
(male/female), age 58.4 ±6.5 (mean±SD), BMI 27.4±6.0.
Healthycontrolsubjects
Subjects had been recruited by advertisement and selected to match the patient group by
gender, age and ß2‐receptor subtype. They were in good health, free of cardiovascular
disease, non‐smokers. After written, informed consent 34 subjects participated. Due to
technical problems in the recordings and 2 cases of near‐syncope in the stand‐test, 5 out of
the original 34 control recordings had to be rejected. This left 29 (18/11, m/f), age 62.9 ± 7.3
BMI 26.1 ± 4.2 for analysis. There are no significant differences in age and BMI distribution
between healthy controls and CHF patients.
Measurementsanddatapreprocessing
Continuous non‐invasive blood pressure was measured from a finger by the volume‐clamp
technique. A Nexfin® (BMEYE, Amsterdam, Netherlands) hemodynamic monitor was used
Chapter 4
56
with instantaneous display of reconstructed upper arm blood pressure, heart rate, pulse
contour derived cardiac output and systemic vascular resistance. This enabled proper
monitoring during the stand test. To prevent hydrostatic errors the hand was held at heart
level in both positions by a sling around the neck.
Patients and controls underwent a test protocol which included blood draws for clotting
factors in the supine position as described earlier (39). Then they rested for at least 20
minutes before actively standing up. They remained standing for another 10 minutes. From
the Nexfin computed data we only analysed IBI values for the present study, measured to an
accuracy of 5 ms (200 Hz sample rate of A/D conversion).
In view of dysrhythmias like PVC’s, other rhythm disturbances and, occasionally, movement
artefacts that were present in the IBI‐recordings, t hese had to be pre‐processed before
analyses could be performed. We used a two‐step spike‐removal procedure. First we
established the global mean value IBImean‐glb of the whole set (supine or upright), and
substituted any IBIi outside the range 80‐120% of IBImean‐glb by that value. Next, a 10‐beat
window would slide over the recording, replacing any newly added IBIj outside the 80‐120%
range around the IBImean‐local by the value of the local mean. The first step deletes sharp
spikes globally, making it easier for the second step which is required to preserve continuity
of the time series.
CalculationofHRVparameters
Linearmethods
Since we derived heart periods from blood pressure recordings rather than from an ECG, we
cannot call them NN‐intervals (normal to normal) since, strictly spoken, we have no
information on the origin of the heartbeat, whether it originates from the sinus node or from
some other pacemaking site in the heart. Although all patients underwent a test‐ECG just
prior to the present recording, where normal sinus rhythm had been established, we will use
the more general term ‘IBI’ (interbeat interval) instead.
After data pre‐processing as described above we calculated mean‐IBI, SD‐IBI, rMSSD (root
mean square of successive differences), pIBI‐50 (the proportion of intervals that differs by
more than 50 ms from the previous) following the usual methods (37). We chose a period of
at least 5 minutes stable recording for both the supine and upright periods. Of the upright
recording a period of 2 minutes after the standing up maneuver was skipped, to allow for the
HRV parameters that detect a sympathetic shift
57
first transient in blood pressure and heart rate to disappear. This left a period of maximally 8
minutes upright to be included in the computations.
For the frequency analysis we used the IBI data set without interpolation, putting the average
interbeat interval as spacing between heart beats (15). After removal of a linear trend and
Hanning‐windowing we applied a digital Fourier transform (Matlab®) rather than FFT. This
method can be applied to an arbitrary number of data points without the need of
zero‐padding until a power of two has been reached. LF, HF and LF/HF ratio were computed
after integration of the spectral curve from 0.04‐0.15 Hz for LF and from 0.15‐0.4 Hz for HF.
The values were reduced to normalized units by division by the total variance (37).
Non‐linearmethods:SampEnandMSE
The calculation of Multiscale Entropy (MSE) has been fully described in (12). It is the sample
entropy (SampEn) (34) of consecutively coarser grained time series Y constructed from the
original time series X:{x1,…, xi,…,xN} by a scale factor of τ.
The coarse‐graining procedure is the first step to compute MSE, as well as multiscale variance
(MSV) and multiscale successive differences (MSD). By taking τ consecutive values together,
the original signal is progressively ‘smoothed’ and more and more beat‐to‐beat ‘noise’ is
averaged out. This process is visualized in Figure 1 and formalized in formula 1:
./1,1
1)1(
)(
Njxyj
jiij
(1)
This describes a set of consecutively more coarse‐grained time series, {y(τ)} from the series X,
where τ is the scale factor. Next, the SampEn (34) of each time series{y(τ)} is computed,
resulting in MSE. SampEn is a measure of the probability that a sequence of m consecutive
data points will not remain similar (within a given tolerance r) at the next point in the data set.
A high SampEn value implies low regularity, i.e. few repetitions of the same pattern. Details
on how to calculate SampEn can be found in references (13, 34, 42).
In short, MSE aims to measure the complexity of the system. In a totally random sequence,
SampEn will decrease to zero with increasing τ; in a sequence that has been generated by a
system with some degree of complexity, like heart rate over time, it tends to find a stable
non‐zero value.
Chapter 4
58
Linearextension:MSV&MSD
We also computed a side‐product of the coarse‐graining process, i.e. the (multiscale) variance
(MSV) and multiscale rMSSD (MSD) of the newly constructed series Y(τ). We reasoned that
these might show in a simple way the variability of heart rate at medium‐scale time‐intervals.
Statistics
All computations were done by use of SPSS®. After testing for normality, comparisons
between groups were done by pairwise testing using Student’s t‐test or Mann‐Whitney u‐test
where appropriate. For the change to a sympathetic state within one subject, we used the
computed supine value to normalize the upright value. The resulting quotient upright/supine
was then linearized by a log‐transformation before statistical testing.
To compensate for the multiple comparisons we adapted the test magnitude alpha by
applying the Bonferroni‐Holm correction. This will lead to a value of alpha smaller than the
0.05 that we considered significant. The corrected alpha is mentioned in the tables along with
the computed exact p‐value. This allows the reader to judge the significance of observed
changes, taking into account the type I/type II error as well as the biological significance of
the change (9, 31).
HRV parameters that detect a sympathetic shift
59
Figure 1 Schematic diagram of the process of coarse‐graining
This is a representative ~ 10 minutes heart rate recording from a healthy volunteer in supine position. From top to bottom tau =1, 2, 5, 10. X‐scale: item number in the series; Y‐scale: (averaged) duration of heart periods in seconds.
Chapter 4
60
Results
ComparisonCHFpatientsvs.healthycontrols
Table 1 gives an overview of the chosen 11 HRV parameters in patients and control subjects
in the supine posture. It is remarkable that the mean supine heart rates, pIBI‐50 and rMSSD
in the two groups are equal despite the ß‐blockade in the patients. Total variability as
expressed by SD‐IBI is lower in CHF, although not statistically significant. HF as short term
variability index is higher in CHF, but this may well be due to the ß‐blockade (19, 41). As a
consequence LF/HF is significantly lower in CHF as well.
To further analyze the internal structure of the variability we computed, first, the MSE‐curves
for τ=1 to 10, results shown in Figure2.A. At τ=1 SampEn in CHF and controls are equal (Table
1). For values of τ above 3 the curve of the CHF‐patients falls below that of the healthy
controls. However, a large overlap exists. To emphasize the longer range interactions rather
than the short‐term variability (20) we integrated the values for τ from 6 to 10, resulting in
the MSE6‐10 number in Table 1. The variances of the coarse grained distributions for
increasing τ are depicted by the MSV as shown in Figure2.B. Average MSV in CHF is lower
than that in controls for all values of τ; we averaged the value for τ = 6 to 10 as MSV6‐10 in
Table 1. Except for τ = 1 the same holds true for the rMSSD of the coarse grained distributions,
expressed as MSD in Figure2.C and averaged to one value from τ = 6 to 10 in Table 1. Both
MSV6‐10 and MSD6‐10 are lower in CHF than in controls, however, in view of the wide
distribution of the numbers, taking the Bonferroni‐Holm corrected alpha and the magnitude
of the difference into account, we do not consider these differences biologically significant.
The same cannot be said for MSE6‐10: although the number fails to meet the
Bonferroni‐Holm corrected alpha (p=0.05/9=0.006), yet in view of the narrow distribution
and the exact p‐value of 0.015 we do consider this difference significant.
HRV parameters that detect a sympathetic shift
61
Table 1 Parameter comparison between control subjects and CHF patients in 10‐min supine
posture
Parameter (units) CONTROL CHF p value
Bonferroni-
Holm
corrected
alpha
deemed
significant
meanIBI (ms) 1002 ± 158 951 ± 120 0.281 0.02 no
SD-IBI (ms) 38.0 [21.8-87.2] 32.4 ± 15.7 0.090 0.01 no
rMSSD (ms) 25.7 [12.1-125.4] 27.8 ± 14.5 0.795 0.05 no
pIBI-50
(proportion) 0.04 [0.00-0.84] 0.03 [0.00 0.26] 0.586 0.025 no
If data are normal distributed, the value is as mean ± std and the Student t‐test is applied; if non‐normal distributed, the value is as median [minimum‐maximum] and the Mann‐Whitney U test is applied. Before Bonferroni‐Holm correction, *p<0.05; #p<0.01; n.u. = normalized units (power in the respective bands is normalized by division by total variance). The values of MSE, MSV, and MSD are computed by averaging over the 5 highest tau values: sum(MSE(tau=6:10))/5, sum(MSV(tau=6:10))/5, sum(MSD(tau=6:10))/5. The column ‘deemed significant’ gives the interpretation of the authors, taking the p‐value, corrected alpha and the biological significance into account; cf. text.
Chapter 4
62
Figure 2 MSE, MSV and MSD curves: comparison between control subjects and CHF patients in supine
posture
A: MSE; B: MSV; C: MSD. Fat (blue) line: control healthy subjects; dotted (red) line: CHF patients. Tau from 1 to 10. The curves represent mean values with +/‐ 1 x standard deviation. CHF patients have lower MSE, MSV and MSD than healthy subjects for tau above 2.
If data are normal distributed, the value is as mean ± sd and a one‐sample t‐test is applied; if non‐normal distributed, the value is as median [minimum‐maximum] and a Wilcoxon signed‐rank test is applied. Normalized parameters are calculated as: (value of upright)/ (value of supine) for every individual. After log‐transformation a one‐sample t‐test has been used to test the deviation from zero
(i.e. upright value = supine value); *p<0.05; #p<0.01(within‐group differences for upright to supine) ; the values of MSE, MSV, and MSD are as in table 1: sum(MSE(tau=6:10))/5, sum(MSV(tau=6:10))/5, sum(MSD(tau=6:10))/5.
Table 3. Total power and power in the various bands: VLF, LF, HF; supine values compared to upright.
Parameter
(ms2)
Control subjects (median [min-max]) CHF patients
Supine Upright Supine Upright
Total 1445 [474-7602] 1437 [226-9627] 1162 [44-2974] 677 [59-2823]
In view of the non‐normal distributions of absolute powers the medians and ranges are given. No within‐group significant changes from supine to upright can be demonstrated due to the large variability.
HRV parameters that detect a sympathetic shift
65
Discussion
The present computer‐based post‐hoc study tried to establish the numbers that could aid in
fast diagnosis of a ß‐blocker treated patient’s ‘slipping off’ into a more sympathetic state. We
chose a stand‐test as model for this condition; no one can stand very well for 10 minutes
without sympathetic system involvement in view of the induced drop in blood pressure at the
level of the carotid sinuses and the relative hypovolemia that is observed by pressure
sensitive receptors in the low‐pressure area (atria, lungs) (6, 38).
We reasoned that patients on a ß‐blocker, when remotely monitored or admitted to an
intensive care unit for acute exacerbation of symptoms, might pose additional challenges to a
monitoring system that would incorporate HRV‐measures in an intelligent alarm.
Beta‐blockers have a tendency to increase short term HRV as well as total background
variability as it may be observed in the low to very low frequency ranges (2, 8, 19). Moreover,
the additional α1‐blocking properties of Carvedilol may lead to less apparent blood pressure
waves when sympathetic arousal takes place. This property has been pointed out as
instrumental in not lowering HR as much as do other ß‐blockers (36), as compensation for the
decreased systemic resistance that it provokes (18).
In line with our initial suppositions we found that in the supine resting state the CHF‐patients
differed from the healthy control subjects by showing equal HR with almost equal SD‐IBI, but
significantly higher HF variability, therefore lower LF/HF ratio. Furthermore the patients had
slightly lower values for MSE6‐10, MSV6‐10 and MSD6‐10. In our view this is mirroring the
increased beat to beat variability due to the ß‐blocker together with a slightly increased
sympathetic activation. When going to the upright posture the control subjects displayed
most of the expected changes: increased HR, decreased rMSSD, pIBI‐50, HF, increased LF/HF,
but not an increased LF, probably due to the large variance in this measure. MSE6‐10,
MSD6‐10 or MSV6‐10 did not record a change. When it came to the CHF‐patients in upright
posture the parameters that did show up as useful were HR (increased), rMSSD, pIBI‐50 and
MSD6‐10 (decreased). None of the other parameters would indicate a shift into a
sympathetic state. Our results in the healthy control group tally well with those of
Turianikova et al. (40) who recently published a comparable orthostasis study. Exception is
our lack of results for MSE6‐10; in comparison we would have expected a definite increase.
However, we studied subjects around 63 years of age, the earlier study had subjects around
20 years of age.
Chapter 4
66
A few notes should be made; the most important one being that almost all HRV is vagally
mediated: both the fast beat‐to‐beat changes and the slower waves that may be riding on
underlying blood pressure variations. As long as heart rate is in the vagal range, for humans
below (120 – 0.6 * age) (22), most variations in HR will, as first guess, mainly come from
changes in vagal activity. That is not to say that the sympathetics play no role in HRV, their
contribution can be found both in the underlying blood pressure variability and the
longer‐range variations in heart rate. These slower variations, to be observed over the course
of minutes to hours, may influence both HR and BP at the same time, via central and
peripheral mechanisms. In analysis techniques that aim at this ‘system complexity’ it has
become established that stable estimates may only be found when thousands of heart beats
are incorporated, an order of magnitude requiring at least some 4 hours observation. This is a
requirement that is impractical for straightforward clinical monitoring. Although 4 hours of
data may become available in any patient on the monitor, a deterioration of condition should
be signaled earlier than after 4 hours.
In recent years the literature on HRV analysis methods has been reviewed for various areas of
application. Rajendra et al. (33) gave a more or less complete overview of methodologies that
are applied, from time domain to frequency domain t to non‐linear analysis methods.
Generally speaking, the main disadvantages of the latter are the large number of data
required and the sensitivity to baseline shift and noise of some of the methods. In 2007
Maestri et al. (28) reviewed the use of non‐linear indices of HRV for CHF patients. Many were
highly correlated to classical linear indices; only two (families of) analysis methods gave
independent prognostic information, i.e. empirical mode decomposition and symbolic
dynamics. We considered these not practical for our purpose. Again in 2009 Buccelletti et al.
(7) noted that techniques like power law (fractal) analysis or detrended fluctuation analysis
were less practical in the prognosis of myocardial infarction patients than entropy directed
methods in view of the number of required heart beats. In the present study we have,
therefore, restricted our analysis to SampEn and MSE, being the most promising ones for our
application. We looked at scale factors 6‐10 for MSE, supported by a recent study by Ho et al.
(20) who had noticed that in CHF patients on ß‐blockade values of τ=6 and up were
insensitive to this therapy when used as predictors of mortality.
In short, the most reliable HRV parameters to early detect a patient’s ‘slipping off’ into a
sympathetic state are those that indicate so‐called vagal withdrawal, i.e. the disappearance
of short‐term variability and the loss of longer term ‘jumpiness’ as shown by the decreased
HRV parameters that detect a sympathetic shift
67
MSD6‐10. These changes will occur even before heart rate goes up into a definite
sympathetic region, where all vagal efferent traffic is silenced. The newer parameters like
SampEn or MSE have no use here, at least not in the present group of patients who use
ß‐blockers. A study by Batchinsky et al. (4) has shown that SampEn can make a difference for
triage in emergency care, even when only short recordings are available. Interestingly, the
newly introduced parameter MSD6‐10 seems to do a good job as well, detecting both the
sympathetic shift and the difference between healthy controls and CHF‐patients. This
computes the ‘jumpiness’ or rMSSD of coarse grained averages over 6 to 10 adjacent beats.
This is not a non‐linear parameter like MSE or SampEn, but one that is derived from the
intermediate coarse grained series constructed for the computation of MSE. In that same
vein we computed the variances of these series, which showed some promise in the
controls‐CHF comparison of Table 1, but failed to show a sympathetic shift (in Table 2).
rMSSD has peculiar properties, acting as a high‐pass filter to the original heart rate signal. It
has been proven (5) that ‘classical’ rMSSD captures the same frequency range as the HF band
in frequency analysis does, roughly between 0.2 and 0.45 Hz. However, it is biased by the
prevailing heart rate and is sensitive to lower frequencies as well. By extending the algorithm
to progressively more coarse grained series of heart periods we have, with MSD6‐10,
constructed a combination of a low‐pass filter (the coarse‐graining process, cf. Figure1)
followed by a high‐pass filter. Building on the earlier study into the rMSSD filter properties
one may extrapolate that the number represented by MSD6‐10 will favour frequencies
between 0.02 and 0.07 Hz (i.e. 0.2/10 and 0.45/6 as 3dB points), thus mainly spanning the
LF‐band and slightly lower, as illustrated in Figure3, the result of a simulation like in the
Berntson study. It should be noted that these filter characteristics are dependent on the
prevailing heart rate. In the present simulation, as in our study, we assumed an average heart
rate of 60/min, 1 second intervals. This problem of scaling by heart rate is one that is
omnipresent in MSE‐studies, although very seldom mentioned.
Inconclusion:
For patients on ß‐blockers only the gradual disappearance of short‐term variability, as
measured by traditional methods rMSSD and pIBI‐50, proved a reliable indicator of a shift to
a sympathetic state. The newly introduced MSD6‐10 – jumpiness in coarse grained beat
series – shows some promise here as well. HRV analysis cannot work in clinical monitoring
without taking HR‐active medication into account; without ß‐blockade more parameters
might be useful, notably SampEn and frequency analysis may carry useful information for the
Chapter 4
68
clinician. The best application for these measures is probably their use in intelligent
monitoring, where the clinician is not bothered with the numbers and their intricacies, but
just with the condition changes that are shown by analysis of HRV along with other vital
parameters.
Figure 3 Band‐pass filter characteristics of MSD6‐10.
The algorithm has been applied to model‐generated beat‐series with additional noise. A simplified
model of baroreflex control has been used as in DeBoer et al., 1987 to generate the intervals. Average
heart period around 1000 ms. A modulating ‘respiratory’ frequency was forced with periods from 3 to
120 seconds. The values for MDS6‐10 have been normalized to the peak‐peak amplitudes of the forced
oscillations (Berntson et al., 2005).
HRV parameters that detect a sympathetic shift
69
Limitations
This study was conducted in a small number of relatively healthy CHF‐patients: they had been
stable on their medication before entering the study. The circumstances for patients
admitted to the ICU for an acute cardiac condition may be quite different. Therefore this
study should be extended to real‐life ICU‐recordings and to larger groups of patients before
definite conclusions about the usefulness of the present HRV‐measures may be reached.
In a standard ICU‐setting one would turn to the ECG‐monitor for more accurate heart period
detection than was possible here. The use of a 200 Hz sampled BP‐recording limits the
accuracy to ~ 5 ms, whereas normally at least 1 ms should be obtainable. Therefore some
measures that came out as rather insensitive now, like SampEn or MSE for low values of τ
might perform better then. For ‘classical’ MSE the present recordings were too short anyway,
reason why we limited the τ (coarse graining parameter) to 10 rather than going to 20. At
τ=10 we have in a 10 minutes recording about 60 points for the coarse grained series. Since
our τ‐MSE curves reached stable levels for the data sets that we used, we considered this
choice appropriate.
Disclosures
None of the authors has any relevant disclosures to make. Ms. Zhang, PhD is the recipient of
a post‐doc training grant from the Dept. of Physiology.
Chapter 4
70
References
1. Akselrod S, Gordon D, Ubel FA, Shannon DC, Berger AC, and Cohen RJ. Power spectrum
analysis of heart rate fluctuation: a quantitative probe of beat‐to‐beat cardiovascular
control. Science 213: 220‐222, 1981.
2. Aronson D and Burger AJ. Effect of beta‐blockade on heart rate variability in
decompensated heart failure. Int J Cardiol 79: 31‐39, 2001.
3. Baselli G, Cerutti S, Civardi S, Lombardi F, Malliani A, Merri M, Pagani M, and Rizzo G.
Heart rate variability signal processing: A quantitative approach as an aid to diagnosis in
cardiovascular pathologies. Int J Biomed Comput 20: 51‐70, 1987.
4. Batchinsky AI, Salinas J, Kuusela T, Necsoiu C, Jones J, and Cancio LC. Rapid Prediction of
Trauma Patient Survival By Analysis of Heart Rate Complexity: Impact of Reducing Data
Set Size. Shock 32: 565‐571, 2009.
5. Berntson GG, Lozano DL, and Chen Y. Filter properties of root mean square successive
difference (RMSSD) for heart rate. Psychophysiology 42: 246‐252, 2005.
6. Borst C, Wieling W, van Brederode JF, Hond A, de Rijk LG, and Dunning AJ. Mechanisms of
initial heart rate response to postural change. Am J Physiol‐Heart C 243: H676‐H681,
1982.
7. Buccelletti E, Gilardi EMAN, Scaini E, Galiuto LEON, Persiani ROBE, Biondi ALBE, Basile
FLOR, and Silveri NG. Heart rate variability and myocardial infarction: systematic
literature review and metanalysis. Eur Rev Med Pharmacol Sci 13: 299‐307, 2009.
8. Bullinga JR, Alharethi R, Schram MS, Bristow MR, and Gilbert EM. Changes in Heart Rate
Variability Are Correlated to Hemodynamic Improvement With Chronic CARVEDILOL
Therapy in Heart Failure. J Card Fail 11: 693‐699, 2005.
9. Cabin RJ and Mitchell RJ. To Bonferroni or not to Bonferroni: when and how are the
questions. Bull Ecol Soc Am 81: 246‐248, 2000.
10. Casolo G, Balli E, Taddei T, Amuhasi J, and Gori C. Decreased spontaneous heart rate
variability in congestive heart failure. Am J Cardiol 64: 1162‐1167, 1989.
11. Clark MT, Rusin CG, Hudson JL, Lee H, Delos JB, Guin LE, Vergales BD, Paget‐Brown A,
Kattwinkel J, Lake DE, and Moorman JR. Breath‐by‐breath analysis of cardiorespiratory
interaction for quantifying developmental maturity in premature infants. J Appl Physiol
112: 859‐867, 2012.
12. Costa M, Goldberger AL, and Peng CK. Multiscale entropy analysis of biological signals.
Phys Rev E 71: 021906, 2005.
13. Costa M, Goldberger AL, and Peng CK. Multiscale Entropy Analysis of Complex Physiologic
Time Series. Phys Rev Lett 89: 068102, 2002.
14. Coumel P, Hermida JS, Wennerblöm B, Leenhardt A, Maison‐Blanche P, and Cauchemez B.
Heart rate variability in left ventricular hypertrophy and heart failure, and the effects of
HRV parameters that detect a sympathetic shift
71
beta‐blockade A non‐spectral analysis of heart rate variability in the frequency domain
and in the time domain. Eur Heart J 12: 412‐422, 1991.
15. deBoer RW, Karemaker JM, and Strackee J. Comparing Spectra of a Series of Point Events
Particularly for Heart Rate Variability Data. Biomedical Engineering, IEEE Trans Biomed
Eng 31: 384‐387, 1984.
16. deBoer RW, Karemaker JM, and Strackee J. Hemodynamic fluctuations and baroreflex
sensitivity in humans: a beat‐to‐beat model. Am J Physiol ‐ Heart C 253: H680‐H689,
1987.
17. Eggertsen R, Andrén L, Sivertsson R, and Hansson L. Acute haemodynamic effects of
carvedilol (BM 14190), a new combined beta‐adrenoceptor blocker and precapillary
Table 2 summarizes all parameters in patients and control subjects in the supine and upright
posture. The only significant differences between patients and healthy controls were found in
the younger age group in the supine position [20, 40). Post‐hoc analysis showed that the
symptomatic BrS patients had significantly lower LF, higher HF and, accordingly, a lower
LF/HF than healthy controls. Moreover, supine SVR was significantly lower in healthy controls
and standing blood pressure was, albeit marginally, lower in the younger patient group as
well. The supine values of asymptomatic young patients were in‐between those of healthy
controls and symptomatic patients; therefore they did not differ significantly from either
group.
Comparisonoftheuprighttosupineratios
The upright/supine ratio defines the reaction of a person’s cardiovascular control system to
this daily challenge. If the supine value is maintained, the ratio will be 1, decreases in the
upright posture result in ratios lower than 1. Table 3 summarizes all upright/supine ratios.
Striking is the (slight, but significant) lowering of upright blood pressure in the group of BrS
patients rather than the normal response, i.e. the increase that is observed in the control
group. When BrS‐patients stand up, their HR is increased and SV is decreased, as in healthy
controls; however in the younger age group [20, 40) CO is significantly increased in contrast
to healthy controls and at the same time their SVR is not increased, but even decreased. In
the older age groups these effects are tending in the same direction, but do not reach
statistical significance to the same degree. Of note, only one patient had presyncopal signs
after 8 minutes of standing, and had to return to the sitting posture. This patient belonged to
the older group and was known to have experienced both VF’s and vasovagal syncope’s.
This combination of effects points to a changed cardiovascular control in (some of) the BrS
patients. Figure 1 shows how these statistical effects on LF/HF and diastolic pressure (Pdia)
come into being: there is subgroup of patients who have a combination of low Pdia‐ratio (i.e.
the value upright/supine) and low supine LF/HF. The histogram of LF/HF values for patients is
only shifted to lower values compared to controls; the histogram of Pdia‐ratios in patients
shows a bimodal distribution. Figures 2A and 2B demonstrate these effects. Having a
Pdia‐ratio < 1.0 is not restricted to the younger age group of BrS patients: as Figure 3
demonstrates, neither is it restricted to any patient subgroup, as shown in Table 3.
Autonomic nervous system in Brugada
81
Figure 1 LF/HF values as a function of the ratio upright/supine diastolic blood pressure. Red triangles: BrS patients; grey squares: healthy controls. Dividing line at Pdia‐ratio = 1.0 separates the low responders to the left from the normal responders to the right. In the lower left corner of the figure a conspicuous group of patients is observed, with both low LF/HF and low Pdia‐ratio.
Chapter 5
82
Table 2 Hemodynamics and autonomics
[20,40) yrs [40,60) yrs
Supine control asympt syncopal p-value control asympt Syncopal VF p-value
Abbreviations as in Table 2 In age group [20, 40), by one-way ANOVA test there is significance in Sys (p=0.000), Dia (p=0.000), MAP (p=0.000), CO (p=0.047), SVR (p=0.000), and dP/dt (p=0.002).
# Sys after post-hoc test (Gabriel test) significant difference between control and asympt group (p=0.009), between control and syncopal group (p=0.000).
# Dia after post-hoc test (Gabriel test) significant difference between control and asympt group (p=0.002), between control and syncopal group (p=0.000).
# MAP after post-hoc test (Gabriel test) significant difference between control and asympt group (p=0.003), between control and syncopal group (p=0.000).
# SVR after post-hoc test (Gabriel test) significant difference between control and asympt group (p=0.004), between control and syncopal group (p=0.000).
# dP/dt after post-hoc test (Gabriel test) significant difference between control and asympt group (p=0.043), between control and syncopal group (p=0.003).
* CO after post-hoc test (Gabriel test) no significant difference between two groups. In age group [40, 60), by one-way ANOVA test (or one-way Kruskal-Wallis test) there is significance in Sys (p=0.019), Dia(p=0.004), MAP(p=0.005), SVR (p=0.000), and BRS (p=0.042).
# Dia after post-hoc test (Gabriel test) significant difference between control and asympt group (p=0.006), between asympt and fibr group (p=0.035).
# MAP after post-hoc test (Gabriel test) significant difference between control and asympt group (p=0.005). * SVR after post-hoc test ((t-test/Mann-Whitney test)) significant difference between control and asympt group (p=0.005),
between asympt and Vfib group (p=0.012). (t--test/Mann-Whitney test as post-hoc test p<0.008 as significance).
Chapter 5
84
Figure 2 A: Histograms of Pdia‐ratios for BrS patients (red bars) and healthy controls (grey bars). To linearize the distribution we computed the 2log of the values. The patients show a bimodal distribution, with a subgroup definitely below 0, indicating a ratio < 1.0, the histogram of healthy controls is unimodal and above zero. B: Histograms of LF/HF for BrS patients and healthy controls. Values have been linearized by 2log‐transformation. The two distrbutions show no obvious differences other than that the patients have lower values. Colors as in Figure2A.
Autonomic nervous system in Brugada
85
Figure 3. Pdia‐ratios as a function of age for BrS patients and healthy controls. Colors as in Figure1. BrS patients with ratios below 1.0 are observed at all ages. Only 2 healthy controls have ratios around the divisor line at Pdia‐ratio = 1.0.
Discussion
This study was set up to test which parameters that evaluate the autonomic nervous system
can be used to single out those BrS patients who might be more at risk due to abnormality in
their autonomic control of the circulation. The, as yet unproven, idea being that the patients
whose numbers deviate most from healthy controls might be those that are most at risk for
the fatal complications of the disease. Patients describe the odds against them as ‘one strike
you’re out’ and, although not every tachycardia attack ends in unstoppable VF, there is truth
in that saying.
In literature earlier studies have pointed to over‐activity of the parasympathetic system,
particularly during sleep, as involved in eliciting a fatal attack (2, 7, 10, 13). Our study was
limited to 2x10 minutes recording during daytime as part of a diagnostic workup. Even in this
short period a subgroup of patients in the younger group stood out as having a low supine
LF/HF ratio, as expression of increased parasympathetic activity (Table 2). But in addition the
Chapter 5
86
same subjects exhibited another peculiarity in cardiovascular control: their upright diastolic
pressure did not rise, even decreased in the upright posture (Table 3, Figures 1‐3). The same
pattern in upright diastolic pressure regulation was observed in the older group (Table 3,
Figure 3). The underlying abnormality is an insufficient increase in systemic peripheral
resistance, as shown in Table 3. Even though the resistance effects were stronger than the
pressure effects, we chose to emphasize the diastolic pressure effects, as being better suited
for general praxis: even with a simple sphygmomanometer this can be measured, as long as
supine and upright pressure are measured taking caution to keep the arm cuff at heart level
both supine and upright.
This study confirms earlier observations that showed a decreased sympathetic (cardiac)
activity in BrS patients (15, 17, 20) and extends it to decreased vasomotor activity. In the
standing posture sympathetic activity to the resistance vessels must, of necessity, increase to
maintain sufficient blood pressure at the level of the brain (9, 21). Alternatively, orthostatic
cardiac output should increase, or at least not decrease as much as it mostly does (6, 19).
Upregulation of blood pressure is both by way of the systemic baroreflex and the
‘low‐pressure’‐reflex. The carotid sinus pressure receptors, being above heart level, signal a
lowering of standing blood pressure and consequently vagal outflow to the heart is
diminished (HR rises) and inhibition of sympathetic outflow is lessened. The low‐pressure
receptors in the pulmonary vessels and atria are also less stimulated by the decreased venous
return, which results in sympathetic activation as well. The present study does not allow a
further interpretation of the lack of sympathetic outflow in BrS patients. The baroreflex
sensitivity (BRS) is not changed as shown in Table 2. However, that number just relates to the
vagal effect on heart rate and is only remotely related to the sympathetic effects on the
vasculature. Alternatively we should consider an overall decrease in sympathetic drive in BrS
patients, which might tally with the observed increase in vagal outflow and low LF/HF in the
supine position (Table 2, Figures 1 and 2B)
In earlier studies an increased propensity to orthostatic syncope in BrS patients has been
documented (8, 24). These authors used a classical tilt table test, till actual syncope was
induced; maximum 45 minutes of standing, followed by sublingual nitroglycerine spray.
Makita et al.(11) showed a novel SCN5A mutation that gave rise to a Brugada‐type ECG
combined with frequent neurocardiogenic syncopal attacks. In the broad spectrum of genetic
diseases that go under the name of Brugada syndrome this underpins the relationship
between the ECG‐abnormalities and other changes in cardiovascular control.
Autonomic nervous system in Brugada
87
In a subgroup of BrS‐patients orthostatic blood pressure is maintained at a lower level than in
control subjects. Question is, if this sign is indicative of them being more at risk than other
bearers of the syndrome. It might predispose this subgroup to orthostatic syncope; however,
as yet we do not know if this implies a predisposition to VF’s as well.
Limitations
This study includes only 28 patients, the results should be confirmed in a larger group before
measurement of the upright/supine Pdia‐ratio may become a standard part of BrS‐workup.
Moreover, follow‐up studies should show the significance of the present findings: it might
very well be that the observed alteration in orthostatic blood pressure control is unrelated to
the risk of VF in BrS‐patients. Finally, when judging orthostatic BP the reference level is of
paramount importance. Any error in the measurement, as it might be induced by keeping the
measured finger or arm above or below level of the aortic valves, may result in spurious
outcomes. Since all investigators involved, both for the control group and the BrS‐patients,
have been trained by the same instructor (JMK) on how to perform the supine‐stand test, we
consider this unlikely.
Conclusions
This study was designed to find indices of ANS activity that may be of use in the risk
assessment of Brugada patients. We found a subgroup of Brugada patients who have lower
than normal upright/supine diastolic blood pressure ratios, due to a deficient increase in
systemic vascular resistance. This points to an alteration in cardiovascular control that may
add to the well‐known problem of increased vagal outflow, all increasing the risk of a fatal VF.
This outcome requires follow‐up studies to determine the value of this newly found trait for
general risk assessment. We used a setting that can easily be copied: 10 minutes supine
followed by 10 minutes active standing, measure at heart level a number of blood pressure
values in each posture to compute reliable averages. We consider a Pdia‐ratio lower than 1.0
indicative of poor cardiovascular control.
References
1. Antzelevitch C, Brugada P, Borggrefe M, Brugada J, Brugada R, Corrado D, Gussak I,
LeMarec H, Nademanee K, Perez Riera AR, Shimizu W, Schulze‐Bahr E, Tan H, and Wilde
Chapter 5
88
A. Brugada syndrome: report of the second consensus conference: endorsed by the
Heart Rhythm Society and the European Heart Rhythm Association. Circulation 111:
659‐670, 2005.
2. Brugada J, Brugada P, and Brugada R. The syndrome of right bundle branch block ST
segment elevation in V1 to V3 and sudden death—the Brugada syndrome Europace 1:
156‐166, 1999.
3. Brugada P and Brugada J. Right bundle branch block, persistent ST segment elevation and
sudden cardiac death: A distinct clinical and electrocardiographic syndrome: A
multicenter report. J Am Coll Cardiol 20: 1391‐1396, 1992.
4. deBoer RW, Karemaker JM, and Strackee J. Hemodynamic fluctuations and baroreflex
sensitivity in humans: a beat‐to‐beat model. Am J Physiol ‐ Heart C 253: H680‐H689,
1987.
5. Jordan J, Shannon JR, Diedrich A, Black B, Costa F, Robertson D, and Biaggioni I.
Interaction of Carbon Dioxide and Sympathetic Nervous System Activity in the
Regulation of Cerebral Perfusion in Humans. Hypertension 36: 383‐388, 2000.
6. Kety SS and Schmidt CF. The effects of active and passive hyperventilation on cerebral
blood flow, cerebral oxygen consumption, cardiac output, and blood pressure of normal
young men. J Clin Invest 25: 107‐119, 1946.
7. Krittayaphong R, Veerakul G, Nademanee K, and Kangkagate C. Heart rate variability in
patients with Brugada syndrome in Thailand. Eur Heart J 24: 1771‐1778, 2003.
8. Letsas KP, Efremidis M, Gavrielatos G, Filippatos GS, Sideris A, Kardaras F. Neurally
Mediated Susceptibility in Individuals with Brugada‐Type ECG Pattern. Pacing Clin
Electrophysiol 31: 418‐421, 2008.
9. Levine BD, Giller CA, Lane LD, Buckey JC, and Blomqvist CG. Cerebral versus systemic
hemodynamics during graded orthostatic stress in humans. Circulation 90: 298‐306,
in a sliding window, covering a period of 10 heartbeats (cf. appendix ).
Pulse pressure variability and fluid responsiveness
95
Power spectral density curves were computed using the spectral techniques as described in
(7, 43) and sampled in the usual frequency bands as proposed by the Task Force (10): very
low frequency‐VLF (0.003‐0.04 Hz), low frequency LF (0.04‐0.15 Hz) and high frequency or HF
(0.15‐0.4 Hz). The latter is broadly ascribed to respiratory variability.
Modeldescription
The computer model is an extension of the circulation models to simulate the effects of
gravity by van Heusden et al (39), and the model to simulate cardiopulmonary resuscitation
by Babbs (1) and adapted in Zhang and Karemaker (44). In short, the circulation model
includes four heart chambers, the systemic and pulmonary circulations. In the systemic
circulation, the thoracic aorta feeds the arteries to the upper body, kidneys, intestines, liver,
and lower body. The upper body returns its blood to the superior vena cava (SVC), the organs
below heart level return it to the abdominal vena cava (AVC), the intestinal venous outflow
via the liver. Both venous flows join in the right atrium, where the systemic circulation ends
and the pulmonary circulation starts. The whole circulation model includes 15 compartments;
the basic unit is a compliance in series with a resistance. Blood pressure in the model has
(baroreflex driven) ANS control to influence heart rate, cardiac contractility, vascular
compliances and unstressed volumes and systemic vascular resistance. The respiration effect
that we added here is simulated as a varying pleural pressure that influences intrathoracic
pressure, as in Figure 1. All organs in the thorax undergo this pleural pressure, with negligible
effect on the ones with relatively stiff walls, i.e. the left ventricle, thoracic aorta, right
ventricle during systole and pulmonary artery during systole. The model can be fitted to
individual data by inputting a specific subjects’ information, including height, weight, (resting,
supine) HR, blood pressure etc.
Figure 1. Pleural pressure is added as voltage source into unit of intrathoracic organs that is elastic: right atrium, right ventricle during diastole, pulmonary veins, pulmonary arteries during diastole, left atrium.
Chapter 6
96
PPVaffectedbyanesthesia,volumeloss&infusion
During surgery patients will often be under general anesthesia or at least sedated.
Consequently, both sympathetic and parasympathetic activity are lowered or even have
completely ceased. The model simulates this condition by an extra gain factor in the (mainly
baroreflex driven) output of the autonomic nervous system (ANS) between zero and one. A
gain of one implies normal ANS‐output of the baroreflex, the patient is conscious; at a gain of
zero, ANS activity has totally stopped; at gains between zero and one different levels of
sedation or anesthesia are present.
The model simulates volume loss by connecting a ‘bleeding’ branch in the arterial
compartment as in Figure 2A, which is uncoupled when the lost volume reaches its preset
value. Volume infusion is simulated by connecting a current source to the right atrium as in
Figure2B until the preset infusion value is reached.
Figure 2 A: Volume loss is simulated as a low resistance branch, which connects the arterial
compartment to ground (0 V); the value of the resistance sets the amount of current that will flow
when the switch is closed; B: Volume infusion is simulated as a low resistance branch, which connects in
the same fashion a high pressure (voltage) source to the right atrium.
Pulse pressure variability and fluid responsiveness
97
Modeling&simulation
We used the model to simulate the following situations:
First simulation series:
1. subject supine, in awake, stable condition, then a volume of 500 ml of ‘whole blood’ is
infused. The model does not have an interstitial fluid compartment, only an effective
circulating volume, therefore this infusion of ~ 10% of circulating volume is comparable
to the 1.6 l saline that was infused in the test subjects. Saline will distribute over the
entire extracellular fluid volume.
2. same as the first simulation, but a volume loss of 500ml is induced, followed by the
volume infusion of 500ml
Second simulation series:
1. subject under anesthesia, volume infusion of 500 ml, subject wakes up.
2. Subject under anesthesia, loss of 500ml, variable infusion volumes of 500 ml and more,
subject wakes up.
Chapter 6
98
Results
Infusionexperimentsintestsubjects.We restricted our analysis to the second infusion test in the pre‐head down tilt period. The
subjects had already undergone one such test, so they knew what was coming. One
exception here: the rebreathing data for the second control period infusion of test subject
P24 have been lost, for him we had to take the first test. To prevent the additional challenge
of acute head down tilting, subjects were in the horizontal, supine position, which is more
comparable to the clinical situation. Figure 3 shows an example from the resting control
period before the second infusion test in subject P24. The recording shows beat‐by‐beat
values of systolic and diastolic blood pressure, heart rate and, in panel B, pulse pressure and
pulse pressure variability. Pulse pressure is showing conspicuous very‐low‐frequency
oscillations one minute apart that appear exaggerated in pulse pressure variability. Moreover,
small variations in amplitude of the respiratory oscillations in pulse pressure appear as
low‐frequency oscillations at around 5/min in PPV. This property of the PPV‐algorithm is
shown in Figure 4 for all subjects: the bars denote the relative amounts of VLF, LF and HF,
both for pulse pressure (Figure4A) and PPV (Figure4B). Obviously there is still some power
left in the respiratory band of PPV, however, this should be considered ‘noise’ from looking at
the spectral curves – no clear peaks remain visible in PPV‐spectra, although respiratory peaks
are, of course, very prominent in the spectra of pulse pressure. About 50% of PPV‐variability
in all subjects is accounted for by VLF.
Figure 3 A stretch of recording from the
resting period before infusion (#2) in P24. A:
systolic and diastolic pressures (red bar and
lines), blue line: HR. B: Pulse pressure (red
line), Pulse pressure variability (blue line).
Pulse pressure variability and fluid responsiveness
99
Figure 4 Relative amounts of VLF, LF and HF in % of total variability in the control period before infusion. A: Pulse pressure, B: Pulse pressure variability.
Table 1 summarizes the results of the infusion experiments and Figure 5 shows cardiac
output as function of PPV in the control period. It should be noted that the infusions were on
average 1.6 litres in 20 minutes (22 ml/kg) as opposed to the usual clinical fluid challenge of
500 ml (9, 27, 32, 35, 38). This PPV has been measured over a longer control period than that
shown in Figure 3, which resulted in a more stable estimate of average PPV. In spite of the
large infusion volume, the CO increase in 4 test subjects is less than what is usually required
to call a subject ‘volume responsive’ i.e. less than 15% (24). These 4 have a supine PPV of less
than 9%. One exception, though: subject P29 with low PPV (8.6%) reacted with a CO‐increase
of 46%. Subject P25 with a PPV of 11.8% scored 29% increase. Remarkably, PPV –on average‐
only diminished from 8.5% pre‐infusion to 7.7% post. Pulse pressure, on average, did not
change.
Chapter 6
100
Table 1. Results of infusion experiments; test subjects & model simulation
MAP = mean arterial pressure, measured from Finapres finger pressure. m.u. = medical units,
i.e. mmHg/(ml/sec).
Pulse pressure variability and fluid responsiveness
101
Figure 5 CO after infusion as % of control value, as function of the pulse pressure variability in the
control period. Squares denote test subjects in the study, round symbols results from simulation
experiments as described in the text.
The infusions did not raise blood pressure much: between + and ‐6% as shown in Table 1. The
remainder of the CO‐increase was, consequently, accounted for by a fall in systemic vascular
resistance (SVR). This was particularly large in subject P29 with the 46% increase in CO: he
had a 39% drop in SVR (and only 4% rise in mean BP). This test subject has low resting CO and
high SVR compared to the other subjects anyway, as shown in the table. This pattern was the
same in the other saline infusion tests, in the earlier one in the control phase, as well as the
HDT‐ and the recovery phase.
Chapter 6
102
Modelingexperiments
Firstsimulationseries:modelinthe‘awake’condition
1. volumeinfusion:500ml(Figure6)The model had been fitted, first, to the supine resting data of a healthy, male subject. After
initial stabilization a volume expansion was started at t=300 s, completing the set 500 ml in
about 50 s. The model shows a drop in HR and MAP but an increase in pulse pressure, PPV is
almost halved. The model data have been entered in Table 1 and Figure 5 to be compared
with the healthy subjects. It shows that the model response is slightly different from the
subjects: it has higher resting PPV at a low increase in CO due to infusion.
Pulse pressure variability and fluid responsiveness
103
Figure 6 Simulation of volume expansion in a healthy subject. At t = 300 s an infusion is started which ends after ~ 50 s at a volume of 500ml as indicated in panel B. From above down: Beat to beat aortic blood pressure (A), heart rate (B), pulse pressure (C) and pulse pressure variability (D).
Chapter 6
104
2. volumelossof500ml,followedbyinfusionof500ml(Figure7)At t=200 s the model loses 500 ml in 20 s. At t=300 s this volume is repleted as in the previous
case. The figure shows that PPV roughly doubles at a decreased pulse pressure after volume
loss. After re‐infusion the baseline is restored.
Pulse pressure variability and fluid responsiveness
105
Figure 7 Simulation of the same subject as in Figure 6. At t = 200 s a volume of 500ml is lost within 20 s,
at t = 300 s this is repleted as indicated in panel B. From above down: Beat to beat aortic blood
Vraag 5: Is de activiteit van het autonome zenuwstelsel bij patiënten met het syndroom van
Brugada (BrS) aantoonbaar anders dan bij gezonde proefpersonen? Zo ja, in welk opzicht?
In hoofdstuk 5 vergeleken we een groot aantal cardiovasculaire parameters in BrS‐patiënten
met die van een gezonde controlegroep. De meting in de liggende toestand leverde vrijwel
geen verschillen op. Maar bij sympathische stimulatie door de staande stand vonden we dat
een subgroep van de patiënten minder toename van sympathische activiteit vertoonde. Dit
zou bij hen makkelijker tot vasovagale collaps kunnen leiden of zelfs tot ventrikelfibrilleren.
127
CurriculumVitae
PERSONALINFORMATIONName: Yanru Zhang Gender: female Nationality: Chinese Email: [email protected]
EDUCATIONPhD candidate‐ at the Medical Faculty of the University of Amsterdam
Thesis to be defended: Computer Models in bedside Physiology Department of Anatomy, Embryology and Physiology (subdept. Systems Physiology) Academic Medical Center, Univ.of Amsterdam, the Netherlands 2009‐2013
PhD in computer science Thesis: The Study on Modeling and Simulation of the Hemodynamic Effects of Cardiopulmonary Resuscitation; Department of Computer Science, South China University of Technology 2004‐2009
Bachelor of Communication Engineering Department of communication Engineering, Inner Mongolia University 2000‐2004
Accomplishments&PublicationsProject 1:
Finished related research work and published the paper: Zhang Y and Karemaker JM. Abdominal counter pressure in CPR: What about the lungs? An in silico study. Resuscitation 83: 1271‐1276, 2012.
Project 2: Finished related research work and published the paper: Zhang Y, de Peuter OR, Kamphuisen PW, and Karemaker JM. Search for HRV‐parameters that detect a sympathetic shift in heart failure patients on beta‐blocker treatment. Front Physiol 4: 81, 2013.
Project 3: Finished related research work and the paper: ‘A subgroup of Brugada patients shows low orthostatic blood pressures as a sign of decreased sympathetic outflow’ is in process.
Project 4: Finished related research work and the paper: ‘Dynamics of Pulse Pressure Variability and the Difficulty of Predicting Fluid Responsiveness’ is in process.
128
Acknowledgements
I would like to thank my promotor, Prof.dr. J.H.R. Ravesloot, for his special one‐on‐one
tutoring in ‘Physiology & Anatomy’ and many great suggestions, in keeping my project on
schedule. My very great appreciation goes to Dr. J.M. Karemaker, my research supervisor, for
his patient guidance, enthusiastic encouragement and useful critiques of this research work.
My grateful thanks are also extended to Dr. Berend Westerhof, for his advice on my every
project, for being fireman to the fiery debates between John and me. I would also like to
thank Mr. Wim Stok, for his help in doing the methodological data analysis, to Ms.
Anne‐Sophie Bronzwaer, who shared her knowledge and methods with me and many
explanations on details of how the measurement and calculation work and to Mr. André de
Graaf, who solved so many practical problems in these four years
I would also like to extend my thanks to every colleague in the PhD‐students office all along,
who gave me a lot of support and encouragement. Your good humor accompanied me on
every good or bad day in room M01‐217.
My thanks go to every friend I met in the Netherlands; I can’t imagine how boring the life
would have been without you guys. Special thanks to Michel de Leeuw and your family,
hunting good Chinese restaurants with you is the best experience, special thanks also to Qian
Wang, who made me realize how powerful friendship could be.
Finally, I wish to thank my parents for their support and encouragement throughout my
study.
Colophon:
Printing and binding by Afterpress & Printing Groep (APG), Amsterdam/Diemen