MV Photon Dosimetry Small fields Maria Mania Aspradakis Cantonal Hospital of Lucerne, Switzerland [email protected] 1 Practical course on reference dosimetry, NPL, 22 nd Jan 2014
Apr 15, 2018
MV Photon Dosimetry Small fields Maria Mania Aspradakis Cantonal Hospital of Lucerne, Switzerland [email protected]
1 Practical course on reference dosimetry, NPL, 22nd Jan 2014
Learning Objectives
• Definition of small MV photon field
• Small field characteristics
• Challenges in dosimetry and the determination of
dosimetric parameters
2 Practical course on reference dosimetry, NPL, 22nd Jan 2014
Small MV photon field conditions
• Beam related small-field conditions
Lateral charged particle disequilibrium
Occlusion of the focal spot (direct-beam source)
• Detector-related small-field conditions
Detector response due to its size and composition
3
Lateral electron disequilibrium
(lack of lateral CPE)
4
Lateral charged particle loss
Minimum field radius required for lateral electron
equilibrium (rLEE)
5 Li et al MedPhys 22, 1995, 1167-1170 688.2973.5 20
102 TPRcmgrLEE
LEE
dmax
In broad fields
Full view of
extended direct
beam source from
the point of
measurement
radiation source
Radiation detector
measures in region
of uniform dose
Dose variation across a
broad field (‘dose profile’)
collimator
6
Occlusion of
the beam
focal spot
with
decreasing
collimator
setting
source occlusion by the
collimators
Partial view of
extended direct beam
source from the point
of measurement
Radiation detector measures
in non-uniform dose region
Very narrow dose profile
7
Overlapping penumbras
8
Definition of field size?
Detector size and construction
detector perturbation effects
9
• Volume averaging
• Energy dependence (of
stopping power and
energy absorption
coefficient ratios)
• Perturbation effects
Sauer & Wilbert MP 34, 2007, 1983-1988
Detector perturbation
the effect of volume averaging
OAR(x,y) is the off axis distribution of field A in orthogonal directions x and y
Kawachi el al (2008), Med Phys 35 (10)
•A chamber of cavity
length of 24mm
underestimates dose by
1.5% in the 6cm field
•A chamber of cavity
length of 3mm
underestimates dose by
0.5% in the 2cm field
Detector perturbation due to its construction
11
Ionization chamber:
• wall,
central electrode,
air cavity
Diode:
• housing, shielding, contacting
silicon chip
Perturbation depends on
field size
C. McKerracher, D.I. Thwaites /
Radiotherapy and Oncology 79 (2006) 348–351
Detector perturbation
the influence of detector density at small field sizes
Scott et al PMB, 57 (2012) 4461-4476
in watervoxeldetector
in watervoxelwater
D
D
in waterdensitydetectorwithvoxel-water
in waterwater
D
D
15MV
Definition of small MV photon field
• For the selected energy and medium, the field size is not
large enough to ensure lateral CPE
• The entire beam source, as viewed from the point of
measurement, is partially shielded by the field-defining
collimators
• The detector not small enough and perturbs fluence
significantly
13
Small MV photon fields
characteristics
• changes in beam spectra with collimating method,
accelerating potential, field size and depth
• dose profiles: overlapping penumbra & apparent
widening of field
• drop in beam output
14
Photon fluence spectra in air variation with collimation method
15 Sanchez-Doblado et al (2003), PMB 48: 2081
Photon energy fluence spectra in water variation with accelerating potential
16
Yin et al Phys Med Biol 49(16) (2004)
Photon energy fluence spectra in water
variation with field size and depth in water
17
at depth of maximum build-up at 150mm depth
6MV
Yin et al Phys Med Biol 49(16) (2004)
Particle fluence spectra in water variation with field size, 6MV 50mm depth
18 Eklund and Ahnesjö, PMB 53(16) 2008
Particle fluence spectra in water variation with field size, 6MV 50mm depth
19
Eklund and Ahnesjö, PMB 53(16) 2008
Source occlusion & drop in output
20
IPEM report 103, 2010
source occlusion, overlapping penumbrae, drop in
output & apparent widening of field
21
point source
used in
calculation
A Ahnesjö, 2000
finite source
size used in
calculation
Dose
calculations
in small
fields
Source occlusion, drop in output
22
Treuer et al PMB 38(12) 1992
point source
used in
calculation
finite source size used in
calculation
Dose
calculations
in small
fields
Drop in output: detector dependence
23 Sanchez-Doblado et al , Physica Medica, 23, 58-66, 2007
Small MV photon fields challenges
• Absolute dosimetry
• Reference dosimetry
• Relative dosimetry
• Modelling fluence and dose on treatment
planning systems (TPS)
24
Small MV photon fields - challenges absolute dosimetry
• Absolute dosimetry is the basis of reference dosimetry carried
out in the clinic.
• Water or graphite calorimetry involves highly specialised and
time-consuming procedures at NMI and its use at small
radiation fields is limited by the physical properties of graphite
and water (specific heat capacity and thermal diffusivity).
• Work is in progress and PTB and NPL to measure doses from
field sizes less 40mm.
25 IPEM Report number 103, December 2010
Small MV photon fields – challenges fluence and dose modeling on planning systems
• Modelling of the direct source occlusion is most critical – but results
very sensitive to measurement errors
• For modelling the dose distribution:
– treatment head geometry
– MLC positions, field sizes
– handling/positioning of block collimators
– resoluton of energy fluence matrix incident on patient surface
• The calculation of monitor units (MU) from small field segments:
– full head scatter (flattening filter scatter, monitor backscatter, etc)
– collimator leakage
26
Small MV photon fields - challenges reference dosimetry with air-filled ionisation chambers
det
water
airair
airwater p
ρ
S
m
1
e
WMD
replcelwallflgrcelwalldet pppppppp
To account for perturbations from B-G cavity theory:
27
under the reference conditions (field and depth) as defined in dosimetry codes of practice
oo
refref
QQQwD
f
Q
f
Qw kNMD ,,,,
UK MV Dosimetry code of practice (IPSM 1990) Measurement of reference dose
DNRDcorrected
instrument
response [C]
UK MV dosimetry CoP, PMB, 35, 10, 1355-, 1990
oo QQQwDQwD kNN ,,,,,
Qo = reference beam quality
CGy Chamber types 2561, 2611
28
0
0
0
00
o
Q
Q
water
air
Q
Q
water
air
Q
Q
water
airQ
air
Q
Q
water
airQ
air
QQ,
pS
pS
pS
e
W
pS
e
W
k
Small MV photon fields - challenges reference dosimetry with air-filled ionisation chambers
29
Influence of field size on Spenser-Attix stopping power ratios MC simulations on CAX at 5cm depth in water
Sanchez-Doblado et al (2003), PMB 48: 2081
0.3%
0.5%
< 0.2%
30
Reference dosimetry with air-filled ionisation chambers
31
0
0
0
00
oQQ,
Q
Q
water
air
Q
Q
water
air
Q
Q
water
airQ
air
Q
Q
water
airQ
air
pS
pS
pS
e
W
pS
e
W
k
Sanchez-Doblado et al (2003), PMB 48: 2081
Ratios for small and composite fields differ no more than 0.5% from values for
a 10cm x 10cm field Existing water to air ratios of Spencer-Attix restricted
mass collision stopping powers published for broad fields can be used for
dosimetry in small and composite fields
Ding et al (2012), PMB 57(17): 5509
oo
refref
QQ,Qw,D,QQw, kNMDff
Beams with flattening filter (wFF)
Xiong and Rogers (2008), Med Phys 35(5) 2104-
FFF beam: profile not flat & spectrum is softer
Flattening Filter Free beams (FFF)
Reference dosimetry with air-filled ionisation chambers
Xiong and Rogers (2008), Med Phys 35(5) 2104-
TPR20,10 decreases for a
given accelerating potential
(MV)
SA water to air stopping
power ratios increase
For CoP using TPR20,10 as
beam quality specifier, the
values of existing kQ,Qo
correction factors need to be
reduced by about 0.5%
Flattening Filter Free beams (FFF)
Reference dosimetry with air-filled ionisation chambers
Reference dosimetry with air-filled ionisation chambers
34
0
0
0
00
oQQ,
Q
Q
water
air
Q
Q
water
air
Q
Q
water
airQ
air
Q
Q
water
airQ
air
pS
pS
pS
e
W
pS
e
W
k
oo
refref
QQ,Qw,D,QQw, kNMDff
Example: Perturbation factors for ionisation chambers
replwalldet ppp
0.3%
Araki (2006), Med Phys 33(8)
35
10cm x 10cm 6cm
6.6 mm
16.25 mm
5 mm
23 mm
5.8 mm
2.5 mm
Detector size – the effect of volume averaging
Pantelis el al (2010), Med Phys 37 (5)
36
0.3%
1.4%
Small MV photon fields – reference dosimetry
37
Corrects for the difference between reference beam quality Qo and beam quality at
reference field fref (collimator setting 10 cm x 10cm)
oo
refref
QQQwD
f
Q
f
Qw kNMD ,,,,
What if the machine cannot set to the conventional
reference conditions?
•How to determine dose in specialised systems?
•How to determine dose in composite fields?
reff
Hypothetical reference field
refmsr
,m
, ff
QQ srk
of
cm10cm10
reference field
msrf20,10TPR10TPR20,10
msrf
IAEA/AAPM formalism for reference dosimetry small static MV photon fields – under non conventional reference conditions
Alfonso el al (2008), Med Phys 35 (11)
refmsr
msroo
msr
msr
msr
msr
,
Q,QQQ,Qw,D,QQw,
ffffkkNMD
40
Detector correction factor in a static field
msr
msr
ref
ref
msr
msrmsrrefmsr
msr f
Q
f
Q
f
Qw
f
Qw
QwD
QwDff
QQM
M
D
D
N
Nk
,
,
,,
,,,
,
Determined though:
•Experiment: by a primary standard
•Experiment: using dosimeters that can measure reference dose traceable
to a primary standard and which have sufficiently low uncertainty (alanine,
radiochromic film, diamond, liquid ion-chambers ...)
•Calculation: Monte Carlo simulations
IAEA/AAPM formalism for reference dosimetry small static MV photon fields – under non conventional reference conditions
Small fields: relative dosimetry measurement of penumbra
• To determine the penumbra correctly use a small diode (consider directional dependence)
• Check the detector response outside the geometrical field
• Correct for over/under-response or use an appropriate detector [e.g. (shielded) diode or
radiochromic film]
Heydarian et al PMB 41
(1996) 93–110
Ø7 mm Ø23 mm
43
Small fields: relative dosimetry measurement of depth functions (RDD/PDD/TPR)
• Micro ionisation chambers (volume < 0.01cm3)
• Small Diode; or smallest availlable detector
• Radiochromic film (e.g Gafchromic EBT, MD-55)
• Careful alignment of detector with CAX
• Estimation of the volume effect with changing
depth
• Direct measurement of TPR/TMRs (source-
detector-distance constant!)
44 IPEM Report 103, 2010
Relative dosimetry: Field size factor, Scp
• energy correction
• perturbation correction
• volume effect
45
det
water
airair
airwater p
ρ
S
m
1
e
WMD
A
A
A
A
pρ
S
zAM
zAM
zAD
A,zDAS
ref
ref
det
w
airrefref
ref
refrefw
refwcp
,
,
,
A: field size (aperture)
zref: reference depth
Relative dosimetry: Field size factor, Scp measurement with an ionisation chamber high perturbation?
Challenge: perturbation factors
A: field size (aperture)
zref: reference depth
A
A
A
A
pρ
S
zAM
zAM
zAD
A,zDAS
ref
ref
det
w
airrefref
ref
refrefw
refwcp
,
,
,
46
A
A
A
Apk
zAM
A,zM
zAD
A,zDAS
refrefdetdetE,
refref
ref
refref
refdiode
cp,,
Relative dosimetry: Field size factor, Scp measurement with a diode high energy dependence
1
for
detector Ø <A
(?)
47
Characterise the sensitivity of the diode
Relative dosimetry: Field size factor, Scp
0 2 4 6 8 10 12 14 16 180.0
0.2
0.4
0.6
0.8
1.06 MV meas.
IC
PiP
DiGre
DiYe
MOS1
MOS2
DIArela
tive D
ose
SES / cm
0.0 0.5 1.0 1.5 2.0 2.50.0
0.2
0.4
0.6
0.8
Sauer & Wilbert MP 34, 2007, 1983-1988
48
Relative dosimetry: Field size factor, Scp
0 2 4 6 8 10 12 14 16 18
0.96
0.98
1.00
1.02
1.04
DiYe
MOS1
MOS2
DIA
6 MV
IC
PiP
DiGre
Sig
na
l ra
tio
s
SES / cm
Sauer & Wilbert MP 34, 2007, 1983-1988
49
Characterise the sensitivity of the diode bAaAkE
Unshielded diodes under-respond at small fields?
watertoDose
dettoDose
Normalised
response ratios
Relative dosimetry: Field size factor, Scp
50
Characterise the sensitivity of the diode MC simulation of normalised response of unshielded diode PTW 60012
detailed model of diode
simplified model of diode
Franscescon et al MP 38(12), 2011
Unshielded diode
over-responds at
small fields
correction factor to
ratio of readings < 1
Fluence perturbation!
Energy dependence
Relative dosimetry: Field size factor, Scp
51
MC simulation of ‘output factor’ corrections
factors
Franscescon et al MP 38(12), 2011
6MV
Siemens
Elekta
Correction
to ratio of
readings
Relative dosimetry: Field size factor, Scp
refrefrefw
wcp
AMAk
AMAk
AD
ADAS
detD the absorbed dose to the detector volume (reading of the detector)
refA 10cm 10cm
A arbitrary clinical field
On-going research to determine overall correction
factors for detectors available in the clinic; using the
IAEA/AAPM formalism of Alfonso et al 2008 new
CoP
The volume averaging
correction factor can be
defined as the ratio of the
detector response in its
central part to the
detector response over
its whole volume
Correction for volume averaging
Georg, et al, 2nd ESTRO Forum, Pre-meeting
workshop 2013
53
Correction for volume averaging
Defined as the inverse of the detector signal integrated
over its area and weighted by the off-axis ratio from film
measurements (film profiles)
averageF1
54 Morin et al MP, 40(1), 2013
Correction for volume averaging
Morin et al MP, 40(1), 2013
55
Ralston et al PMB, 57, 2012
Minimise energy/field size dependence
An approximation to account for the influence of spectral
changes between the 10cm 10cm and a smaller field (e.g..
4cm 4cm) on detector response would be to cross-calibrate
the small detector against a medium size detector in an
intermediate field (smaller than the reference field of 10cm ×
10cm);
This is referred to as ‘daisy-chaining’ by Dietrich & Sherouse MedPhys 38(7), 2011
refIC
IC
diode
diode
AM
AM
AM
AMAS int
int
cp
‘Daisy-chaining’ the normalisation of output factors through an intermediate field
Dietrich & Sherouse MedPhys 38(7), 2011
Normalisation to value at 10cm ×10cm
Normalisation to value at 4cm × 4cm
Summary of lecture • In a small field there is lack of lateral CPE, source occlusion and
detectors perturb charged particle fluence
• The consensus so far on current good practice for reference and
relative dosimetry in static small MV photon fields is:
• Choice of suitably small detector which is known to minimally perturb fluence
• Careful experimental setup
• Approximately correct for volume averaging and energy dependence of
detectors (new CoP not ready with detector perturbation correction factors for
use in small static fields)
• Corroboration of data
58
Thank you for your attention