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ORIGINAL PAPER
Boron concentration measurement in biological tissues by chargedparticle spectrometry
S. Bortolussi • S. Altieri
Received: 1 February 2013 / Accepted: 22 June 2013 / Published online: 9 July 2013
� Springer-Verlag Berlin Heidelberg 2013
Abstract Measurement of boron concentration in bio-
logical tissues is a fundamental aspect of boron neutron
capture therapy, because the outcome of the therapy
depends on the distribution of boron at a cellular level,
besides on its overall concentration. This work describes a
measurement technique based on the spectroscopy of the
charged particles emitted in the reaction 10B(n,a)7Li
induced by thermal neutrons, allowing for a quantitative
determination of the boron concentration in the different
components that may be simultaneously present in a tissue
sample, such as healthy cells, tumor cells and necrotic
cells. Thin sections of tissue containing 10B are cut at low
temperatures and irradiated under vacuum in a thermal
neutron field. The charged particles arising from the sample
during the irradiation are collected by a thin silicon
detector, and their spectrum is used to determine boron
concentration through relatively easy calculations. The
advantages and disadvantages of this technique are here
described, and validation of the method using tissue stan-
dards with known boron concentrations is presented.
Keywords BNCT � a-Spectrometry � Boron
concentration � Thermal neutrons
Introduction
Boron neutron capture therapy (BNCT) is an experimental
radiotherapy whose most interesting characteristic is that it
is selective at a cellular level (Barth et al. 2005). Boronated
drugs able to load the tumor with a higher concentration of10B compared to normal tissues are administered to the
patient; following this, the tumor target is irradiated with
thermal neutrons. Low-energy neutron capture in 10B
occurs with a cross section of 3,837 barns at 0.025 eV,
which is the most probable energy in a Maxwellian flux at a
temperature of 293.61 K, and the charged particles pro-
duced in the reaction 10B (n,a)7Li deposit locally in a dose
proportional to the boron concentration present. As the
high-LET a-particles and 7Li ions have ranges comparable
with a cell diameter, the energy deposition is local and does
not affect much the surrounding cells. Boron neutron
capture therapy selectivity depends on the preferential
boron uptake in the tumor rather than on the characteristics
of the irradiation beam, the latter being important for
conventional photon therapy and for proton and carbon-ion
therapy. Depending on the absolute values of the boron
concentration in normal and tumor cells, and on their ratio,
it is possible to assess an irradiation plan that allows
delivery of a lethal dose to the tumor and a dose below the
tolerance limits to the normal (healthy) tissues. This aspect
could be exploited in case of tumors that cannot be oper-
ated or treated by other radiotherapies, such as metastatic
spreads and highly infiltrative malignancies. At the TRIGA
Mark II reactor of the University of Pavia, research is
ongoing to apply BNCT to liver metastases from colon
carcinoma (Zonta et al. 2009), to lung disseminated tumors
(Bortolussi et al. 2011; Protti et al. 2009) and to limb
osteosarcoma (Ferrari et al. 2009). For all these studies,
conducted both in vitro and in vivo using animal models, it
S. Bortolussi (&) � S. Altieri
Department of Physics, University of Pavia, Via Bassi 6, 27100
Pavia, Italy
e-mail: [email protected]
S. Bortolussi � S. Altieri
National Institute for Nuclear Physics, INFN, Section of Pavia,
via Bassi 6, 27100 Pavia, Italy
123
Radiat Environ Biophys (2013) 52:493–503
DOI 10.1007/s00411-013-0480-y
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was firstly necessary to prove the available boronated
drugs, mainly boronophenylalanine (BPA), to concentrate
preferentially on the tumor.
Different methods to measure boron concentration are
reported in the literature and are presently employed in
BNCT: inductively coupled plasma atomic emission
spectrometry (ICP-AES) (Probst 1999 and Wittig et al.
2008), inductively coupled plasma mass spectrometry
(ICP-MS) (Probst 1999), secondary ion mass spectrometry
(SIMS) (Chandra 2003) and prompt gamma neutron acti-
vation analysis (PGNAA) (Riley and Harling 1998; Ver-
bakel et al. 2003). In some clinical trials, blood samples
taken at different times after administration of the boro-
nated drug are taken from the patient and measured; boron
concentration in tumor and normal tissues is then inferred
based on the previous pharmacokinetic studies. For
example, a couple of hours after administration of BPA,
normal tissues contain a similar boron concentration as
blood, while the tumor concentration is a factor 3.5 higher
(Coderre et al. 1998). In the case of skin, the uptake of the
normal tissue is usually higher than the concentration
measured in blood (Fukuda et al. 1999; Menendez et al.
2009). Alternatively, the tumor-to-healthy tissues concen-
tration ratio may also be obtained by positron emission
tomography (PET) imaging after administration of BPA
labeled with 18F, a method that only gives a rough esti-
mation of the boron concentration in tissues (Imahori et al.
1998). The knowledge of boron concentration in the irra-
diated tissues is thus limited, and the dose delivered to the
patients could vary considerably due to the biological
variability of boron uptake, even with the same boron
administration protocols.
In Pavia, the first application of BNCT was a chal-
lenging protocol of liver autotransplantation, where the
liver of the patient, after BPA administration, was ex-
planted, irradiated in the thermal column of the TRIGA
reactor for about 10 min and then reimplanted in the
patient (Zonta et al. 2009). For this treatment, a boron
measurement technique based on charged particle
spectroscopy of tissue samples was developed (Chiaravi-
glio et al. 1989): this technique has been refined, and it is
extensively described in this paper. Biopsies from the
healthy liver and from some metastases were taken during
the explantation surgery, sectioned and measured at the
reactor. During the surgery, a full analysis of the samples
was conducted before the liver irradiation, and thus, the
assessment of the most effective irradiation plan was pos-
sible while the organ was prepared to be carried to and
irradiated at the reactor. Other applications, such as irra-
diation of the thorax with epithermal neutron beams to treat
disseminated lung metastases, could also take advantage
from this boron measurement technique, especially during
the preclinical in vitro and in vivo research. Then, in a
clinical trial, it could be employed on samples obtained in
explorative examinations where the boron carrier is
administered to the patient before taking a biopsy.
The measurement method is described in the following
paragraphs, together with its validation both by means of
tissue standards at different known boron concentrations
and by means of Monte Carlo calculations.
Materials and methods
Sample preparation
Biopsies taken from treated animals or from patients are
divided into smaller samples of about 1 cm3 and frozen in
liquid nitrogen. Then, 70-lm-thick sections are produced
with a Leica cryostat at a temperature of -20 �C and
deposited on 100-lm-thick Mylar disks (Fig. 1).
Measurement setup
The setup allows irradiation of up to ten samples simulta-
neously without the need to shut down the reactor. It
consists of a rotating holder made of Teflon with 12
housings for the Mylar supports, ten of which contain the
Fig. 1 Preparation of the tissue sections: a the sectioning at the cryostat. b The tissue sections deposited on Mylar disks on a sample holder
494 Radiat Environ Biophys (2013) 52:493–503
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tissue samples, one the calibration standard described
below and one a Mylar disk only as a control. A cap is
placed on the top of the housings to protect the samples,
with holes (diameter 0.4 cm) that act as collimators, in
order to define the measurement area. The holder is then
screwed to the body of a chamber where a thin silicon
detector is also fixed. The chamber is connected to a pump
that keeps the setup under vacuum during the irradiation
(about 1 Pa). The whole chamber is positioned at the end
of the thermal column of the TRIGA reactor, where the
thermal neutron flux is approximately 2 9 109 cm-2 s-1.
The holder is rotated by remote control in a way that one
section a time is irradiated in front of the detector during
the established time (usually 10 min per sample). The
geometry of the setup is shown in Fig. 2. The signals
produced in the detector by the charged particles, after a
convenient shaping, are sent to a Ortec MCB module
connected to an Ortec Maestro software.
The background measured by this setup consists of three
components: (a) an exponential component due to the cbackground present in the irradiation position (Agosteo
et al. 2003), (b) protons from nitrogen in the residual air
present in the vacuum chamber and (c) particles from
neutron capture in 10B present in the detector as a dopant.
The exponential component can be reduced using detectors
of small volume; for this reason, a thin detector was chosen
(Ortec, 18–25 lm thick, area 450 mm2).
Many attempts were made to reduce the background in
the detector in the absence of a tissue sample. The best
results were obtained by positioning the detector in a pure
graphite ring and placing a disk of pure silicon behind the
detector (Fig. 2) that protects it from charged particles
arising from the neutron capture in impurities present in the
materials of the setup.
Energy calibration
The energy calibration is accomplished using a boron
standard sample purchased at National Institute of Standard
and Technology (NIST), consisting of a squared support of
pure silicon in which a known quantity of 10B was
implanted. The capture reaction occurs in the following
branches:
n ? 10B ? 11B ? 7Li ? a ? 2.79 MeV (6.1 %)
where the emitted a-particle has an energy of 1.78 MeV;
and
n ? 10B ? 11B ? (7Li)* ? a ? 2.31 MeV ? 7Li ? c?0.478 MeV (93.9 %) where the emitted a-particle has
an energy of 1.47 MeV.
The standard is an almost superficial implantation (peak
depth 0.188 lm from the surface). The spectra obtained by
irradiating such a sample with thermal neutrons are char-
acterized by Gaussian peaks corresponding to a-particles
and Li ions of the two branches of the neutron capture
reaction, including a small energy absorption in the stan-
dard sample governed by the implantation depth of 10B in
the sample. The detector resolution allows separation of the
two peaks due to a-particles but not the peaks due to Li
ions (Fig. 3). The a-energy of 1,470 keV (which is actually
1,422 keV due to energy absorption in the standard sam-
ple) is used as a reference for the energy calibration of the
obtained spectra. The energy resolution of the detector at
this energy is 2.5 %.
Fig. 2 Sketch of the setup for charged particle spectrometry (not
drawn to scale)
Fig. 3 Energy spectrum obtained by irradiating the standard sample
consisting of a silicon wafer with an almost superficial implantation
of 10B atoms. For details see text
Radiat Environ Biophys (2013) 52:493–503 495
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Spectra from tissue samples
The main elements in biological tissue are H, C, O and N,
with traces of Na, Cl, P, S and K, with the addition of B.
Because the neutron flux at the measurement position is
mainly thermal and the epithermal and fast contamination
is only about 2 % (Protti et al. 2012), the spectrum mea-
sured with the silicon detectors will be essentially produced
by charged particles emitted in reactions showing a posi-
tive Q-value. These reactions are reported in Table 1.
In addition to these reactions, there is also the thermal
neutron capture in hydrogen, 1H(n, c)2H, with a cross
section of 0.322 b that produces 2.2 MeV gamma rays. Due
to the concentration of each element in tissue and to the
reaction cross section, the most relevant reactions are14N(n,p)14C and 1H(n,c)2H. Note, however, that the gamma
radiation from hydrogen cannot be detected by the system
that is optimized for the charged particle detection; it only
contributes to a low-energy background. In contrast, the
range of 588 keV protons from the nitrogen reaction is of
the order of 10.8 lm in tissue and 7.7 lm in silicon,
resulting in a further peak in the energy spectrum obtained
from the irradiation of samples, in addition to the peaks
from the 10B(n,a)7Li reactions discussed above. The range
of the charged reaction products is shorter than 11 lm in
tissue; this means that even with tissue samples of only a
few tenths of micrometer, the charged particles loose part
of their energy in the samples and, thus, deposit different
residual energies in the detector depending on their point of
origin and their flight directions. For this reason, the
spectra of any particle type measured by the silicon
detector are not Gaussian but show a typical shape (Fig. 4).
Calculation of the boron concentration
The basic idea is to select a part of the energy spectrum
obtained by the irradiation of a tissue sample and to
establish a correlation between the total events in this
energy range and the concentration in tissue. In order to
obtain this correlation, it is necessary to calculate the tissue
volume where the events collected in the selected energy
range were generated (Fig. 5). The fact that the spectra
present an absorbed profile implies that the contribution of
different particles overlaps in most parts of the energy
range; thus, it is not possible to separate the different
components. However, it is possible to select a range in the
histogram where the collected events are only a-particles.
The interval chosen is DE between 1,100 and 1,350 keV. It
is important to note that the limiter present in front of the
sample (Fig. 2) is not meant to collimate the reaction
products but to define a certain area in the sample. The
particles emitted from that area that reach the detector and
that show a residual energy in the energy range specified
above are then used to infer the boron concentration. The
error associated with the presence of particles flying in
other directions than the parallel one will be discussed
below.
The integral of the histogram between these energy
values corresponds to the number of particles that left the
tissue sample with a residual energy between 1,100 and
1,350 keV. Using the relation between the residual energy
Table 1 Principal reactions
with positive Q-values that
contribute to charged particle
emission in biological tissue,
during thermal neutron
irradiation
Reaction Thermal microscopic
cross section (barn)
Q-value
(keV)
Isotopic
abundance
(%)
Elemental percentage by
weight of lung tissue (ICRU 46)
14N(n,p)14C 1.8 630 99.634 3.117O(n,a)14C 0.24 1,800 0.038 74.932S(n,p)33P 0.002 530 95.02 0.332S(n,a)29Si 0.007 1,500 95.02 0.333S(n,a)30Si 0.2 3,500 0.75 0.335Cl(n,p)35S 0.4 620 75.77 0.340K(n,p)40Ar 4.0 930 0.012 0.210B(n,a)7Li 3,837 2,790 19.9 \0.5 ppm
Fig. 4 Example of charged particle spectra of tissue samples; dotted
line background without tissue sample, dashed line tissue sample
without boron, solid line tissue sample with boron
496 Radiat Environ Biophys (2013) 52:493–503
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of a-particles and the distance covered in tissue, the depths
x and x ? Dx in the tissue corresponding to the residual
energies 1,350 and 1,100 keV can be calculated, allowing
for the determination of the volume of the sample in which
these particles were produced. The cross section of neutron
capture in boron and the geometrical efficiency of the
apparatus are then used to obtain the boron concentration in
that sample volume. Assuming that boron is uniformly
distributed in the analyzed sample, the concentration in the
calculated subvolume is equal to the concentration in the
whole tissue section. If the sample is irradiated with a uniform
thermal neutron field, the a-particles are isotropically emitted
in all directions and from different depths in the tissue. In the
following calculations, only the particles moving parallel to
the x-axis toward the negative values will be considered, as
illustrated in Fig. 5. If E0 is the initial energy of the particle
and x the tissue depth where it was produced, the residual
energy Eres at the position where the particle leaves the tissue
and that is deposited in the detector is:
EresðxÞ ¼ E0 � Edissðx! 0Þ ¼ E0 �Z0
x
dE
dxdx ð1Þ
Similarly, if the particle comes from a depth x ? Dx, its
residual energy is:
Eresðxþ DxÞ ¼ E0 � Edissðxþ Dx! 0Þ ¼ E0 �Z0
xþDx
dE
dxdx
ð2Þ
The interval of the residual energy of all the particles that
come from the depth interval Dx is thus:
Eresðxþ DxÞ � EresðxÞ ¼ DEres ¼Z0
x
dE
dxdx�
Zx
xþDx
dE
dxdx
ð3Þ
The number N of a-particle events collected in the interval
between Eres (x ? Dx) and Eres(x) depends on the number
of reactions that took place in the depth interval Dx.
Defining K as the number of events per time interval and
per energy interval:
K ¼ N
DE � Dtð4Þ
The following relations hold:
K � DE
g¼ N
g � Dt¼ R � U � DV ¼ n � r � U � S � Dx ð5Þ
where g is the measurement efficiency (geometrical and
detector efficiency); R is the macroscopic cross section of
the boron neutron capture reaction; r is the microscopic
cross section of the boron neutron capture reaction; U is
the thermal neutron flux in n/(cm2 s); n is the number of
nuclei of 10B per unit volume in the sample; S is the
surface of the sample that the detector sees through the
collimator; and DV is the volume of the sample
considered.
From Eq. (5), the nuclear boron density in the sam-
ple is derived provided it is possible to measure K
(Eq. 6):
n ¼ K
g � r � / � SDE
Dxð6Þ
Finally, the boron concentration in the sample is given by:
mB
mt
¼ n � DVAw
NA
� 1
mt
¼ K
g � r � / � S �DE
DðqxÞ �AW
NA
where DV is the volume of the sample emitting a-particles
arriving in DE; mB is the 10B mass in DV ; mt is the tissue
mass in DV; Aw is the atomic weight of boron; and NA is
the Avogadro number.
The quantity to be calculated is the concentration in
fresh tissue. However, the present technique uses thin
sections put under vacuum that rapidly dry after the sec-
tioning. Thus, the concentration in fresh tissue could only
be directly obtained if it would be possible to keep the
characteristics of the tissues during the measurements
unchanged. Let the quantities with subscript ‘‘f’’ relate to a
Fig. 5 Measurement principle. Left a-particles have a maximum
range in tissue of R0, and those that are produced between x and
x ? Dx and fly in a direction perpendicular to the detector surface
reach the detector with an energy between E and E ? DE. The
detector collects these events, and the integral of the curve between
E and E ? DE is N (right)
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fresh sample, while those with subscript ‘‘d’’ relate to a dry
sample. Then Eq. (6) becomes:
nf ;d ¼Kf;d
g � r � / � Sf;d
DEf;d
Dxf;dð7Þ
Using the quantities measured in the dry samples, it is
possible to obtain information on the fresh tissue, as
described in the following considerations.
Besides (Eq. 7), also the following Eq. (8) holds:
nf;d ¼mBf;d
Vf;d� NA
AW
ð8Þ
Under the assumption that no boron loss occurs during the
drying process, mBf = mBd, Eq. (9) follows.
nf
nd
¼ mBf
mBd
� Vd
Vf
¼ Vd
Vf
¼ Sd � Dxd
Sf � Dxf
) nf ¼ nd
Sd � Dxd
Sf � Dxf
ð9Þ
Using Eq. (6) for the dry tissue and multiplying and
dividing by qd (density of dry tissue) leads to Eq. (10).
nf ¼Kd
g � r � / � Sd
� DEd
DðqdxdÞ� mtd
Vf
ð10Þ
The boron concentration in the fresh tissue (concF) is then
given by:
concF ¼mBf
mtf
¼ nf � Vf
Aw
NA
� 1
mtf
which is connected to the quantities measured in the dry
samples through Eq. (10):
concF ¼Kd
g � r � / � Sd
� DEd
DðqdxdÞ� AW
NA
� mtd
mtf
ð11Þ
Hence, all the quantities needed for the determination of
the boron concentration in fresh tissue can be measured in
the dry samples, including two factors, (a) Kd which is the
net integral of the count rate in the selected DEd measured
in the dry sample and (b) g � r � / � Sd which is a factor
depending on the thermal neutron flux, the reaction cross
section and the counting efficiency of the apparatus.
The second factor can be obtained from a measurement
of the standard NIST (see Fig. 4), for which the superficial
density of 10B is certified (N = (1.018 ± 0.035) 9 1015
at./cm2). The rate R of events recorded under the a-peaks
is:
R ¼ g � R/V ¼ g � r � / � ntot
Scoll
Stot
) g � r � / � Scoll
¼ R � Stot
ntot
This relationship takes into account that only a part of
the standard surface is seen by the detector (Scoll),
because of the presence of the collimator. This method
implies that it is not necessary to measure the neutron
flux and the efficiency of the system. Moreover, the
reaction rate is measured using the same reaction that is
also employed for the measurement of boron concentra-
tion. The surface of the section of dry tissue where the
reactions take place is defined by the collimator. It is
important to note that the surface of the dry section is the
same as that of the fresh one because of the strong
adhesion of the tissue to the Mylar support. This fact has
been verified by microscope observation. If the section
has a surface smaller than the collimator aperture, the
area of the sample (Scoll) is measured using a stereomi-
croscope connected to a camera employing image anal-
ysis software (Image Pro-Plus).
The next factor in Eq. (11), DEd
DðqdxdÞ, i.e., the energy lost
per path length unit by a-particles in dry tissue of the
thickness DðqdxdÞ corresponding to the selected energy
interval DEd, was experimentally measured for the tissue of
interest as described in (Stella et al. 2009) using thin tissue
sections and an a-source of 241Am. Otherwise, it can be
obtained by the Stopping and Range of Ions in Matter
(SRIM) (Ziegler et al. 1985).
Finally, mtd
mtfin Eq. (11), which is the ratio of the mass
of the dry tissue sample and the corresponding mass of
the fresh one before water loss, can be measured for each
kind of tissue analyzed as follows: When preparing the
samples for the irradiation, some sections are cut,
deposited on aluminum foils and immediately weighted
with a digital scale connected to a personal computer. The
weight of the sections is recorded every second, and the
diagram of the weight change is plotted as a function of
time. When the weight is stable, the ratio of the dry to
fresh mass is determined [see Fig. 8 in (Gadan et al.
2012)].
Boron concentration in nonuniform samples
The described strategy holds for homogeneous samples
such as healthy tissues, where boron is usually uniformly
distributed. When in the same section different histological
types of tissues are simultaneously present, however, such
as viable tumor tissue, normal tissue, fibrotic or necrotic
tissue, this technique alone cannot separate the boron
concentration in the various components. In fact, from the
residual energy spectrum, it is not possible to determine
whether the a-particles came from a tumor or a healthy
area. Rather, the described measurement for a mixed
sample provides an average boron distribution depending
on the percentage of the various tissues present in the
irradiated section. Thus, it is necessary to couple charged
particle spectroscopy with a histological preparation and an
image of the boron distribution in the section obtained by
neutron autoradiography (Altieri et al. 2006, 2008). To this
498 Radiat Environ Biophys (2013) 52:493–503
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end, three contiguous cryostatic sections are prepared: the
first one is used for standard hematoxylin–eosin staining,
the second is deposited on Mylar for the spectroscopy,
and the third is deposited on a solid-state nuclear track
detector (CR-39). The histological preparation with
standard hematoxylin–eosin evidences the morphological
characteristics of the analyzed section such as the per-
centage of viable tumor cells and the possible presence of
necrosis or fibrosis. The images of boron distribution are
obtained after the irradiation of CR-39 detectors and a
proper etching with NaOH solution, where darker areas
correspond to higher boron concentrations than lighter
areas. Comparing the boron distribution images with the
histological images, it is possible to verify whether boron
uptake is higher in the tumor and to delimit its area. In this
case, the area of the tumor with respect to the whole
section area is measured using software for image analysis
(Fig. 6).
A spectroscopic measurement of a healthy sample is
necessary, in order to properly weight the contribution to
the spectrometry of the tumor in case of mixed samples. If
only tumor and normal parenchyma are present in the
sample, being b = VT/Vtot the tumor-to-total volume ratio
for the sample inside the collimator, the concentration in
the mixed sample is:
concM ¼ b � concT þ ð1� bÞ � concH ð12Þ
where concM, concT and concH are the average
concentrations obtained in the mixed sample, the tumor
and healthy tissue, respectively. Thus, the concentration in
the tumor is obtained by:
concT ¼concH
b� concM
concH
� ð1� bÞ� �
ð13Þ
A previous measurement on a healthy sample obtained
from the same animal gives concH; then it is possible to
determine boron concentration in the viable tumor using
Eq. (12).
Results and discussion
Precision of the measurement method
To investigate the validity of the present method and its
uncertainties, Monte Carlo calculations were performed
using the Transport of Ions in Matter (TRIM) tool of the
simulation environment the Stopping and Range of Ions in
Matter (SRIM). For this, a slab of tissue with a thickness of
1 mg/cm2 (which is the range of protons with the energy of
588 keV) was simulated, where the charged particles were
generated as a source. A layer of gold (thickness 40 lg/
cm2) was also simulated to take into account the energy
loss inside the electrode at the entrance of the detector.
These layers were put at the same distance as in the
experimental setup. Between the sample and the detector, a
collimator was inserted, in contact with the tissue. The
starting coordinates of protons, a and 7Li ions, their ener-
gies and their flight directions were randomly extracted
using an external Monte Carlo program. The characteristics
of these particles whose directions hit the detector area
were stored in a file written in a standard input format to be
read by SRIM as an input. For each transported particle, the
output file reported the initial characteristics, the residual
energy and the direction cosines after the transport in the
tissue. In this way, the information concerning the particles
after the transport was kept in correlation with the starting
points inside the tissue.
Firstly, as the total spectrum in the detector includes the
spectra due to protons, a-particles and lithium ions, these
different components were separately simulated and sum-
med over the whole energy range. A boron concentration of
13 ppm was assumed, in order to compare the simulated
total spectrum with the experimental one obtained from a
tissue sample that gave 13 ppm as a result of the mea-
surement. The results of the simulations were broadened
using a Gaussian function, in order to reproduce the reso-
lution of the detector (Fig. 7). Figure 7 demonstrates a
Fig. 6 Procedure to separate
the boron concentration in
tumor and in healthy tissues by
measuring a mixed sample. The
areas of the different kinds of
tissues are measured by image
analysis, and the boron
concentration in healthy tissue
is obtained by a previous
measurement of a healthy
uniform tissue. The neutron
autoradiography of a contiguous
section is analyzed in order to
prove that in the tumor areas,
the boron concentration is
higher
Radiat Environ Biophys (2013) 52:493–503 499
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good agreement between the calculated and the measured
spectra.
The TRIM simulation tool was also used to investigate
the accuracy of the method to determine the thickness
Dx where the particles with residual energy in the chosen
DE are emitted. Determination of this thickness Dx could
be impaired by different effects, in particular by the
direction of the particles crossing the tissue and by the
contribution to DE due to a-particles of the two considered
energies (1,470 and 1,780 keV). As for the latter, it is clear
that the Dx values corresponding to the two energy com-
ponents that have residual energy in this DE are different,
as shown in Fig. 8.
Thus, in the energy range considered, there are events
coming from a deeper region, and the correct procedure
consists in subtracting these events from the integral of the
spectrum and correcting the number of reactions for the
branching ratio 0.94 (see section ‘‘Energy calibration’’ in
‘‘Materials and methods’’). Considering all the particles as if
they were of low energy without correcting for 0.94 overes-
timates the result by 0.5 %.
Another important issue concerns the particles that travel in
tissue following paths other than the orthogonal ones, thus
depositing more energy and contributing to other ranges in the
residual energy histogram. This fact leads to an error in
assigning the proper Dx to the chosen DE. The results of the
simulation performed with SRIM were therefore used to check
the energy distribution of the particles produced in the volume
considered. The Dx distribution shown in the upper part of
Fig. 8 was used, and the distribution of a-particles produced
there was superimposed to the total spectrum broadened with
the Gaussian function that describes the resolution of the
detector. It turned out that due to the directions of flight of the
particles travelling in tissue, some of the particles starting from
the chosen Dx do not fall into the chosen interval of residual
energy. The difference between the integral of the a-spectrum
Fig. 7 Comparison between simulated and experimental spectra for a
tissue sample with 13.3 ppm of 10B. The vertical dotted lines show
the part of spectrum used for boron concentration evaluation
Fig. 8 Histogram of the
distance from the sample
surface where a-particles with
residual energy between 1,100
and 1,350 keV are produced:
top—a with an initial energy of
1,470 keV; middle—a with an
initial energy of 1,780 keV;
bottom—total
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between the energy limits indicated and the total number of
particles coming from Dx is 4 % (Fig. 9).
To summarize, the boron concentration present in a
homogeneous sample can be measured with the technique
described here with a precision that depends mainly on the
accuracy with which the following factors can be deter-
mined: (a) the number of counts in the energy interval DE,
(b) the areas of the healthy tissue and the tumor in the
sample, (c) the thickness (Dqx) of the tissue within the
sample that contributes to the signal in the energy range
DE selected for the analysis and (d) the dry-to-fresh mass
ratio of the tissue sample.
As for (a), the measurement time is set such that the
collected number of events is sufficient to get an error
less than 1 %. As for (b), the areas of the healthy tissue
and of the tumor are measured several times, and the
results thus represent average values. Typically, the
error associated with these average values is of the
order of 0.5 %. As for (c), as described in (Stella et al.
2009), the error associated with the determination of
Dx is around 17 %. Finally, regarding (d) in order to
determine the dry-to-fresh mass ratio, in the experi-
mental routine at least 10 sections are measured with a
digital scale, the values are averaged, and the corre-
sponding standard deviation is usually less than 5 %.
Combination of these independent sources of errors
results in an overall error of about 18 %.
Experimental validation
The method was also tested by experimental measurements
of tissue standards with known boron concentration. The
samples were prepared as described in (Gadan et al. 2012),
mixing a suspension of hepatic cells with a BPA solution at
different known concentrations. The suspension was then
frozen and sectioned as a normal biopsy, and the sections
were deposited on Mylar and irradiated in the described
setup. Five boron concentrations were tested, and for each
at least three samples were measured. As can be seen in
Table 2, the expected and measured values agreed within
6–11 %, with a standard deviation less than 3 % except in
the case of the control samples, where the concentration is
low and, accordingly, the technique is less precise.
Conclusions
The presented technique to measure boron concentrations
in biological tissues was developed to quantify the boron
content in the different components of tissues that must be
irradiated for BNCT. Most of the existing methods
described in the ‘‘Introduction’’ measure boron concentra-
tions in macroscopic samples and provide average con-
centration values that strongly depend on the percentage of
viable tumor cells present in the analyzed sample. In
contrast, the technique described here offers the possibility
to measure macroscopic samples (with a surface of the
order of tenth of mm2) and to separate the boron concen-
tration values in tumor cells from those in normal (healthy)
cells. Moreover, it allows taking into account the presence
of necrosis, characterized by cell death and thus by the
absence of boron. Of course, the concept of a-spectrometry
coupled to neutron autoradiography and histology repre-
sents a complex procedure, requiring time and resources.
Furthermore, it can be performed only when it is possible
to obtain biopsies from patients, after boron administration.
Nevertheless, when possible, it offers an insight regarding
boron biodistribution that cannot be obtained by any other
technique, thus allowing a more precise dosimetry and a
better understanding of the irradiation therapy outcome.
The error associated with the proposed procedure is about
20 %, with a major contribution due to the limited preci-
sion of the thickness Dx associated with the selected energy
range DE. This, in turn, depends on the uncertainties of the
Fig. 9 Solid line energy distribution of a-particles broadened by a
Gaussian function; dashed line energy distribution of a-particles
coming from the Dx shown in the upper part of Fig. 8 (0.06–0.2 mg/
cm2)
Table 2 Results of boron concentration measurements by a-spectrometry of standard tissue samples with known boron content
True 10B concentration (ppm) 0.0 (Control) 12.0 ± 1.2 23.1 ± 2.3 33.4 ± 3.4 51.5 ± 5.2
Measured 10B concentration (ppm) 0.5 ± 0.1 13.0 ± 2.0 25.0 ± 5.0 38.0 ± 8.0 54.0 ± 10.0
SD (5 samples for each concentration) (ppm) 0.2 0.2 0.8 0.8 1.5
Radiat Environ Biophys (2013) 52:493–503 501
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residual energy as a function of the distance travelled by a-
particles below 2 MeV in tissues below a thickness of
0.7 mg/cm2 (Stella et al. 2009). In particular, in the mea-
surement of the residual energy of a-particles in tissue, the
major source of error was associated with the determina-
tion of the thickness of the tissue sections prepared for the
experiment. The relation that was obtained by Stella et al.
is:
DðqxÞ mg
cm2
h i¼ ð4:7� 0:1Þ � 10�4Eres½keV� þ ð1:03
� 0:03Þ
From this equation, the energy range between 1,100
and 1,350 keV corresponds to a tissue thickness of
Dqx = 0.12 ± 0.02 mg/cm2 with a relative error of
about 17 %. The study presented here demonstrates that
the other contributions to the overall error associated
with the measurement of boron concentration are all
below 5 %. Thus, the precision of the results could be
significantly improved if the experimental error of the
residual energy as a function of the distance travelled in
tissue could be reduced. To this end, a new experiment
has been planned to measure the described curve with
lower uncertainties.
The described boron measurement procedure may be
time-consuming, but it offers a deep insight into the
behavior of the boronated carrier in the tissues. This could
be exploited also to characterize new boron carriers, as one
of the most active branches of BNCT research is the
development of new vectors able to concentrate boron in
tumor cells, ensuring higher concentration ratios than those
achieved by the use of BPA.
More generally, the availability of a precise knowledge
of tumor-to-normal boron concentration ratios and of the
concentration in each tissue component is a prerequisite to
ensure an effective dose delivery, in order to exploit the
selective boron uptake. An accurate dosimetry is a very
complicated task in BNCT because of the mixed radiation
field (a, Li, p and c) and the boron biodistribution in the
target. Moreover, the analysis of the radiation effects both
for tumor and for normal tissues can be fully understood
only if they are strictly correlated to the delivered radiation
dose. It is our opinion that a more precise insight into the
boron distribution in biological tissues is needed to
improve BNCT and to allow its application becoming a
routine treatment in the next future. When biopsy is pos-
sible, boron concentration measurement by charged parti-
cle spectrometry coupled with imaging by neutron
autoradiography offers a relatively easy and precise
method to fulfill this requirement.
Acknowledgments The authors would like to thank Mr Piero
Bruschi for his invaluable technical contribution.
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