Abstract
Purpose
Neutron capture therapy (NCT) by 10B and 157Gd agents is a unique irradiation‐based method which can be used to treat brain tumors. Current study aims to quantitatively evaluate the relative biological effectiveness (RBE) and dose distributions during the combined BNCT and GdNCT modalities through a hybrid Monte Carlo (MC) simulation approach.
Methods
Snyder head phantom as well as a cubic hypothetical tumor was at first modeled by Geant4 MC Code. Then, the energy spectra and dose distribution relevant to the released secondary particles during the combined Gd/BNCT were scored for different concentrations of 157Gd and 10B inside tumor volume. Finally, the scored energy spectra were imported to the MCDS code to estimate both RBESSB and RBEDSB values for different 157Gd concentrations.
Results
The results showed that combined Gd/BNCT increases the fluence‐averaged RBESSB values by about 1.7 times when 157Gd concentration increments from 0 to 2000 µg/g for both considered cell oxygen levels (pO2 = 10% and 100%). Besides, a reduction of about 26% was found for fluence‐averaged RBEDSB values with an increment of 157Gd concentration in tumor volume.
Conclusion
From the results, it can be concluded that combined Gd/BNCT technique can improve tumor coverage with higher dose levels but in the expense of RBEDSB reduction which can affect the clinical efficacy of the NCT technique.
Keywords: boron‐10, gadulunium‐157, Monte Carlo simulation, neutron capture therapy, relative biological effectiveness
1. INTRODUCTION
Glioblastoma is one of the most common primary malignant brain tumor among adults with an approximate incidence rate of 5 to 10 persons per 100 000 populations. 1 , 2 , 3 Tumor resection along with radiotherapy and adjuvant chemotherapy techniques result in a mean survival of about 14 months after glioblastoma treatment. 4 Recently, neutron capture therapy (NCT) as a bimodal radiotherapy technique using boron and gadolinium (known as the BNCT and GdNCT modalities, respectively) appears to be a promising modalities for the treatment of brain malignancies. 5 , 6 , 7
NCT by the 10B agents has a large thermal neutron capture cross‐section of 3840 barns. 8 , 9 In this technique 10B can be selectively concentrated within the tumor cells and tumor boundary would be precisely determined. 10 Neutron capture process by 10B results in nuclear reaction of 10B (nth, α) 7Li which is shown in following equation 11 :
![]() |
(1) |
During the neutron capture process by Boron agents, released high‐LET (linear energy transfer) particles have a short range in tissues (about 9 µm for 4He particles and 5 µm for the 7Li) compared with the cellular dimensions. Therefore, selective distribution of the Boron agents inside the tumor region (known as the unique aspect of BNCT) causes a high deposited dose in tumor cells. 12 , 13 Accordingly, high tumor cells killing efficiency can be expected for brain tumor treatment through NCT with 10B agent. 8 , 14 To deliver the therapeutic dose during the BNCT technique, a uniform concentration of boron agents per gram tumor should be approximately about 10 to 30 µg. 15 Due to the high LET values of the released secondary particles during the BNCT (4He and 7Li), only nearby cells to the reaction point are damaged without affecting the adjacent healthy tissues. 16
Although secondary particles with lower LET values (electrons and photons) are released during the GdNCT, 157Gd has a higher neutron capture cross‐section with respect to 10B which can lead to lower neutron flux required for NCT technique. Besides, these released secondary particles after neutron capture by 157Gd have long ranges inside the target volume. Hence, this issue may result in improving the dose uniformity inside the treatment target when NCT technique is used for tumor irradiation.
Totally, GdNCT releases low‐LET prompt gamma rays, internal conversion (IC) electrons, x‐rays, and Auger electrons which are shown in following equitation 17 , 18 :
![]() |
(2) |
In each neutron capture reaction by 157Gd, the mean energy of released gamma rays is about 2.4 MeV which can penetrate to much larger depths than the Boron reaction products. Produced Auger electrons with the average LET of 300 keV/µm can result in a large probability of producing lethal damage especially when directly bound to the DNA molecule. 19 To obtain proper results during the tumor treatment via GdNCT technique, the 157Gd concentration of about 50 to 200 µg/g tumor has been reported. Nevertheless, for deep tumors more 157Gd concentrations may be required because the incident neutron can be remarkably attenuated by overlying tissues. Therefore, higher 157Gd concentrations are used to ensure that required neutron capture interactions are occurred inside the tumor volume. 19 , 20 Considering the energy of released gamma rays and electrons during the neutron capture by 157Gd, the released gamma rays and Auger electrons have the range of some centimeter (cm) and a few micrometers (µm) in tissue, respectively. 21 , 22
Owing to the different released secondary particles during the NCT by boron and gadolinium, the therapeutic effects of GdNCT and BNCT can be quite different. The biological effectiveness of BNCT depends on the short range 4He and 7Li particles, while GdNCT techniques rely on emitted Auger electrons. 23 Furthermore, as mentioned previously, BCNT and GdNCT have their own merits and limitations. Higher levels of DNA damage by released secondary high LET particles during the BNCT, while improved dose uniformity would be expected for GdNCT technique with high range secondary particles. Therefore, it may be expected that a combination of a 10B and 157Gd may influence the treatment outcomes in terms of dose uniformity and DNA‐damage RBE. Despite the 157Gd advantages, only a few studies have been assessed the combinations of BNCT and GdNCT which relevant in vivo studies of such combination are still rare. 10 To the best of our knowledge, the radiobiological characteristics of combined 10B/157Gd NCT have not been assessed. The present study aims to evaluate the potential clinical improvement of a combined 10B/157Gd NCT technique viewpoint the dose distribution and DNA‐damage relative biological effectiveness (RBE) values through a hybrid Monte Carlo (MC) simulation approach.
2. METHODS
2.1. MC simulation
To calculate the dose distribution and DNA‐damage RBE values relevant to the combined BNCT and GdNCT techniques, at first the proposed head phantom by Snyder et al., 24 was simulated with Geant4.11.0 MC Code. To do so, different parts of the employed head phantom including skin, skull, and brain were simulated using the following ellipsoidal equations:
| (3) |
| (4) |
| (5) |
It should be mentioned that numbers and parameters in these equations are in terms of cm.
The elemental compositions of the simulated regions relevant to the Snyder phantom were taken from ICRU‐46 report and have been listed in Table 1. 25
TABLE 1.
The elemental compositions relevant to the different simulated parts of employed head phantom by weight fraction. 25
| Elemental weight fractions (%) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| H | O | C | Na | Ca | K | Cl | P | S | N | Mg | Density (g/cm3) | |
| Brain | 10.7 | 71.2 | 14.5 | 0.2 | 0 | 0.3 | 0.3 | 0.4 | 0.2 | 2.2 | 0 | 1.04 |
| Skull | 5.0 | 43.5 | 21.2 | 0.1 | 17.6 | 0 | 0 | 8.1 | 0.3 | 4.0 | 0.2 | 1.61 |
| Skin | 10.0 | 64.5 | 20.4 | 0.2 | 0 | 0.1 | 0.3 | 0.1 | 0.2 | 4.2 | 0 | 1.09 |
Furthermore, a hypothetical cubic brain tumor with the dimensions of 5 × 5 × 5 cm3 was considered at the center of brain volume to score the released secondary particles energy spectra as well as dose distribution calculation. The Geant4‐based simulated MC model of the Snyder head phantom along with the considered phantom inside the brain are illustrated in Figure 1.
FIGURE 1.

Simulated Snyder head phantom and a cubic brain tumor through Geant4 MC Code.
For the tumor irradiation, the neutron source was similar to the proposed one for BNCT of brain tumors. 26 In this regard, a disk shape source with 10 cm diameter was considered which had been placed 15 cm away from the brain center along the z‐axis. Totally, the neutron source was included 89% of epithermal neutron beams (in the range of 0.5 eV to 10 keV to increase the neutron beam penetration depth) along with 1% fast neutrons contamination (from 10 keV to 2 MeV to increment the neutron beam penetrations through the skull) and 10% thermal neutrons (form 0.001 to 0.5 eV). 26
Employed neutron cross‐sections of 10B and 157Gd have been depicted in Figure 2.
FIGURE 2.

Comparison of the total neutron cross‐section relevant to 157Gd and 10B. 27
It should be mentioned that simulations of the secondary particles were performed by considering 30 µg/g 10B concentration and different 157Gd concentrations of 0, 125, 250, 500, 1000, and 2000 µg/g within the simulated tumor, as suggested by Culbertson and Jevremovic study. 15 Since Boron compounds may be also accumulated in the healthy brain cells, a 10 µg/g tumor of 10B concentration was also simulated inside the surrounding normal brain region. It is worth to note that for energy spectrum and dose calculations, a uniform distribution of boron and gadolinium was considered inside the tumor volume.
The G4HadronPhysicsQGSP_BERT_HP, G4RadioactiveDecayPhysics, and G4EmStandardPhysics‐option4 physics were employed to model the neutron capture and electromagnetic process during the tumor irradiation with neutron source. To reduce the statistical errors below 1%, one billion primary particles were tracked by an Intel Core i7/8 GB RAM personal computer. Besides, the range cut‐off value in all simulations was set to 0.1 µm to score all released electrons, particles, and ions.
2.2. Dose calculations
To evaluate the variations of dose distribution within the tumor volume with changing the 157Gd concentrations during the combined Gd/BNCT technique, the tumor volume was divided into cubic voxels with the dimensions of 1 × 1 × 1 mm3 and absorbed dose were scored in each voxel. Then, the dose distributions relevant to each considered 157Gd concentration within the tumor volume were reported.
2.3. RBE estimations
To calculate the RBE values related to the combined of Gd/BNCT technique, the last released version of Monte Carlo damage simulation (MCDS 3.10A) code was utilized. In this regard, at first secondary particles energy spectra during the combined Gd/BNCT with different 157Gd concentrations were calculated inside the tumor volume. Then, the obtained data were separately imported to the MCDS MC code to estimate the relevant fluence‐averaged DNA damage yields for each type of released secondary particle. The MCDS output file is the strand break yields (single strand and double strand breaks) per Gray per Giga base pair (in terms of Gy−1 Gbp−1). Corresponding RBE values of released secondary particles (secondary electrons, alpha, and lithium) during the combined B/GdNCT technique for different concentrations of the 10B and 157Gd were separately estimated by dividing the calculated break yields to the obtained break yields for 60Co gamma rays as a reference radiation. It is worth mentioning that the double strand break (DSB) and single strand break (SSB) yields for 60Co reference radiation were considered as 8.32 and 188.84 Gy−1 Gbp−1, respectively. 28 , 29 Finally, to evaluate the average levels of DNA damage at a multi‐cellular scale during the combined B/GdNCT technique, the fluence‐averaged RBE was determined by considering the effects of absorbed dose to the target volume through Equation (6) 30 , 31 :
| (6) |
D i indicates the received dose (in Gy) by the brain tumor from ith particle type which has been simulated by Geant4 MC code and RBEi represents the relevant fluence‐averaged RBE value of the ith‐type charged particle resulted from MCDS MC code.
Validity of MCDS for DNA damage calculations has been confirmed by Semenenko and Stewart. 32 The MCDS algorithm for DNA damage classification differs from Monte Carlo track structure (MCTS) codes. Nevertheless, a proper agreement between the results of MCDS and MCTS codes has been reported. 33 , 34 , 35 On other words, MCDS parameters for DNA damage calculation including minimum length of undamaged base pairs between neighboring elementary damages (nmin), the ratio of base damage to strand break (f), the number of individual strand breaks (σSb), and DNA segment length in terms of base pairs (nseg ) have been properly tuned to have the minimum difference compared with MCTS codes. 36 This algorithm allows to simulate the DNA damage in irradiated cells with photons, mono‐energetic electrons, protons, and particles up to 56Fe with the maximum energy of 1 GeV. 36 If the induced lesions over one or two strands of the DNA molecule do not face with the 10 bp (base pair) it would be marked as the SSB breaks. Besides, two single strand breaks found on the opposite DNA strand within 10 bp are marked as the DSB. The remaining ones are classified as base damaged (BD) damage. 32 , 37
MCDS code can predict the type of DNA lesions which formed by ionizing radiation in typical mammalian cells under different cell oxygenation levels through considering the free radicals which are produced during the interaction of ionizing radiation with cell cytoplasm. It is worth mentioning that the strand breaks yield calculations (both SSB and DSB yields) in present study were performed in fully aerobic (pO2 = 100%) and hypoxia (pO2 = 10%) conditions to evaluate the impact of cell oxygenation level on the RBE values as well. Furthermore, all MCDS simulations have been performed with a mean standard error of less than 0.1%.
3. RESULTS AND DISCUSSION
3.1. Secondary charged particles energy spectra
The scored 4He energy spectra relevant to the 30 µg/g of 10B inside the tumor volume in combination with different 157Gd concentrations (i.e., 0, 125, 250, 500, 1000, and 2000 µg/g tumor) have been illustrated in Figure 3.
FIGURE 3.

Scored energy spectra of released 4He particles during the neutron capture process by 10B at different 157Gd concentrations during the combined Gd/BNCT technique.
As depicted in Figure 3, the intensities of scored 4He energy spectra during the neutron capture process by 10B decrement by increasing the 157Gd concentrations from 0 to 2000 µg/g tumor. With increasing the gadolinium concentration, boron neutron capture reactions decrement due to the high thermal neutron cross‐section of gadolinium agents. Hence, the released secondary particles through the 10B neutron capture process decrease. This reduction in intensity of helium energy spectra during the combined Gd/BNCT technique may influence the RBE value.
The obtained 7Li energy spectra relevant to 30 µg/g 10B and different 157Gd concentrations (i.e., 0, 125, 250, 500, 1000, and 2000 µg/g tumor) inside the tumor volume have been shown in Figure 4.
FIGURE 4.

Scored energy spectra of released 7Li particles during the neutron capture process by 10B at different 157Gd concentrations during Gd/BNCT combination.
A similar trend as found for 4He can also be observed for variations of 7Li intensity, so that increasing the 157Gd concentration within the tumor volume decrements the intensity of the scored 7Li secondary particles. The main reason for continuous energy spectrum of 7Li is the multi‐energy nature of incident neutrons. As the neutron energy increments, lithium ions with higher energies would be released. However, neutron absorption cross‐section of 10B reduces with increasing the neutron energy (as illustrated in Figure 2). Therefore, it can be expected that the intensity of released 7Li particles continuously decreases when the lithium energy increments.
The observed sharp peaks in Figure 3 and Figure 4 (around 1.5 and 1.7 MeV for 4He and 0.8 and 1.09 MeV for 7Li) are relevant to the Boron neutron capture process, as shown in Equation (1). In this process, two nuclei with total energy above 2 MeV are generated which are recoiled in a back‐to‐back manner with equal momentums. Considering the energy and energy conservation laws, the obtained energies during the neutron capture process by Boron agents (2.31 and 2.79 MeV) are finally shared between 4He and 7Li based on their mass ratio. 13
The scored secondary electron spectra inside the tumor volume during the combined Gd/BNCT technique at different 157Gd concentrations have been shown in Figure 5.
FIGURE 5.

Scored energy spectra of total released secondary electrons during the neutron capture process by different concentrations of 157Gd during the combined Gd/BNCT technique.
As indicated in Figure 5, increasing the 157Gd concentrations inside the tumor region can increment the intensity of the secondary electron energy spectra due to the increment of neutron capture interactions at higher 157Gd concentrations.
The contribution of Auger electrons in total electron spectra (as shown in Figure 5) has been illustrated in Figure 6. It should be noted that these Auger electrons have the most important role in determining the RBE value for 157Gd‐based neutron therapy technique.
FIGURE 6.

Scored energy spectra of released Auger electrons during the neutron capture process by different concentrations 157Gd during combined Gd/BNCT technique.
As it can be seen in Figure 6, when the 157Gd concentration increments from 125 to 2000 µg/g inside the tumor region, the contributions of the low energy Auger electrons increment as well. This finding can be linked to the higher interaction rate of thermal neutrons with 157Gd when gadolinium concentration increments within the tumor region. Owing to the fact that these released Auger electrons cause a high LET value and cell killing probability, the radiation efficacy may be improved especially when the 157Gd accumulation would be nearby the DNA molecule. 16 , 17 , 38 Since most of released energy during the neutron capture by 157Gd reaches to the gamma rays, if the Gadolinium is positioned outside the tumor cell, only gamma rays can contribute to the tumor cell killing. 38
3.2. Dose calculations
Figure 7 shows the simulated two dimensional (2D) dose distribution inside the tumor region for combined Gd/BNCT technique at different concentrations of 157Gd.
FIGURE 7.

2D dose distribution inside the tumor volume as the function of 157Gd concentration; (A) 0 µg/g, (B) 125 µg/g, (C) 250 µg/g, (D) 500 µg/g, (E) 1000 µg/g, and (F) 2000 µg/g within the tumor region.
It is worth to note that all reactions which can affect the absorbed dose inside the tumor region were considered in the present study. When thermal neutrons penetrate to the tissues, due to the reactions of biological tissue compositions (14N(n,p)14C and 1H(n,ɣ)2H), the absorbed dose inside the target can be affected. Nevertheless, secondary particles released by neutron capture reaction are the main contributors to the received dose by the target. 23
The illustrated results in Figure 7 showed a non‐uniform dose distribution is observed inside the tumor volume during both BNCT and combined Gd/BNCT techniques. This finding is expected because the neutron flux continuously reduces with penetrating to greater depths inside the tumor region. Ultimately, the absorbed dose decrements with increasing the depth inside the tumor volume. Nevertheless, when 157Gd is combined with 10B, more parts of the tumor region would be covered by the desirable dose values (red regions in Figure 7). These results can be attributed to the higher range of gamma rays and secondary electrons (products of 157Gd neutron capture) with respect to the heavy charged particles (as the products of 10B neutron capture) which can extend the depth of tumor coverage with higher dose levels. This issue would be more dominant when the 157Gd concentrations inside the tumor region increments.
3.3. RBE assessments
The calculated fluence‐averaged RBE values (both RBESSB and RBEDSB) relevant to the various 157Gd concentrations inside the tumor volume and different cell oxygen levels have been illustrated in Figure 8.
FIGURE 8.

Calculated fluence‐averaged RBE values (RBESSB and RBEDSB) relevant to the combination of BNCT and GdNCT techniques for various 157Gd concentrations from 0 to 2000 µg/g inside the tumor volume as well as different cell oxygen levels.
As indicated in Figure 8, fluence‐averaged RBESSB values increment with an increase in 157Gd concentration. In this regard, fluence‐averaged RBESSB value increases by about 1.7 times when 157Gd concentration increments from 0 to 2000 µg/g for both considered cell oxygen levels (pO2 = 10% and 100%) in this study. RBESSB has a direct relationship with the high energy electrons which may induce single‐strand breaks with higher probability. 39 On the other hand, the intensity of high energy secondary electrons which are released following the Gd‐based neutron capture increases at higher 157Gd concentrations, as shown in Figure 5. Therefore, it can be expected that the fluence‐averaged RBESSB values increase when Gadolinium uptake inside the tumor increments.
As shown in Figure 8, fluence‐averaged RBEDSB values decrement when the 157Gd concentration increases from 0 to 2000 µg/g. Accordingly, a reduction of about 26% can be observed when 157Gd concentrations increment inside the tumor for both studied cell oxygen levels (pO2 = 10% and 100%). When the Gadolinium concentration increases inside the tumor region, the neutron flux is further reduced due to the increased number of neutron capture reactions by the 157Gd. This issue can consequently reduce the number of Boron neutron capture reactions and ultimately lead to the decrement of heavy charged particles (4He and 7Li) which are released following the Boron neutron capture reaction. On the other hand, these heavy charged particles are high‐LET ones which can induce the double strand breaks with a much higher probability than the products of Gadolinium neutron capture reaction. Regarding to the fact that the intensity of these heavy charged particles decrements with increasing the 157Gd concentration inside the tumor volume (as can be explicitly observed in Figure 3 and Figure 4), it can be expected that the RBEDSB value reduces at higher 157Gd concentrations.
As illustrated in Figure 8, the obtained fluence‐averaged RBEDSB values during the combined Gd/BNCT are lower than those reported for the sole BNCT which can be attributed to the reduction of heavy charged particle intensities, as discussed earlier. Furthermore, from the results of Figure 8, when the cell oxygen level varies from 10% to 100%, the fluence‐averaged RBESSB and RBEDSB values increment with the maximum values of about 1.27% and 1% when the Gadolinium concentration is about 2000 µg/g inside the tumor region. Increasing the fluence‐averaged RBESSB and RBEDSB values with the increment of 157Gd can be linked to the fact that the indirect induced damages to the DNA molecule by chemical products (hydroxyl radicals) may increase at higher levels of cell oxygen levels.
High LET particles such as alpha and lithium ions are produced during the BNCT which can lead to local energy deposition and improved RBE value. Nevertheless, very short range of these secondary ions (alpha, and lithium) and their local energy deposition nature may cause dose non‐uniformity inside the target volume. Although the released secondary particles during GdNCT have lower LET values with respect to BNCT, their long ranges inside the tissue can improve the dose distribution inside the target volume. However, due to the lower LET values, decreased RBE values are expected using GdNCT. Hence, combined GdNCT and BNCT for tumor irradiation can be beneficiary viewpoint to the dose distribution inside the target volume and can be harmful regarding the biological effectiveness of the delivered treatment to the patient. Finally, appropriateness or inappropriateness of the combined Gd/BNCT technique would be dependent on the followed priorities by the treatment team. In other words, if dose uniformity has priority, Gd/BNCT would be appropriate for treatment and if the clinical RBE is preferable, this combined technique can be considered as inappropriate method for radiotherapy.
Although the dose‐weighted RBE is a more appropriate metric for biological evaluation, the fluence‐averaged RBE (especially when different particle types contribute to the received dose by the target volume) can be also valuable for evaluating the effect of Gadolinium concentration during the tumor irradiation with combined Gd/BNCT technique on the absorbed dose distribution and RBE values. Nevertheless, the dose‐weighted RBE values may be different from fluence‐weighted RBE one, especially in the case of high LET particles such as alpha and helium ions. Accordingly, further considerations are needed to obtain the dose‐weighted RBE values which can be considered in our future studies.
The RBEDSB values corresponding to the produced secondary particles (7Li and 4He) in BNCT have been estimated by Qi et al. 40 In this study, the obtained RBEDSB of alpha particles and 7Li nucleus were 3.27 and 3.44, respectively. Besides, for 157Gd the RBEDSB values of about 1.5 outside of a considered cylindrical DNA molecule with 3 nm radius have been quantified by Cerullo et al. 41
4. CONCLUSION
The DNA‐damage fluence‐averaged RBE values and the dose distribution during the NCT of brain tumor with 10B and 157Gd combination were assessed through a hybrid MC simulation approach in the current study. From the obtained results, it can be concluded that the depth dose distribution inside the tumor volume improves when the 157Gd agent is added to 10B for brain tumor irradiation, but in the expense of decreased fluence‐averaged RBEDSB value which has an important role in clinical efficacy of this treatment modality. Nevertheless, to further improve the clinical efficacy of brain tumor treatment and reduce the relevant side‐effects towards normal tissues through the combined Gd/BNCT technique, the concentration ratio of 10B to 157Gd should be optimized through future investigations.
AUTHOR CONTRIBUTIONS
Reza Shamsabadi: Methodology, validation, formal analysis, investigation, data curation, investigation, writing—original draft, writing‐ review & editing. Hamid Reza Baghani: Conceptualization, methodology, formal analysis, writing‐ review & editing, visualization, project administration, supervision.
CONFLICT OF INTEREST STATEMENT
The authors declare no conflicts of interest.
ACKNOWLEDGMENTS
The authors have nothing to report.
Shamsabadi R, Baghani HR. DNA‐damage RBE assessment for combined boron and gadolinium neutron capture therapy. J Appl Clin Med Phys. 2024;25:e14399. 10.1002/acm2.14399
DATA AVAILABILITY STATEMENT
Data will be available upon reasonable request from the corresponding author.
REFERENCES
- 1. Wirsching HG, Weller M. Glioblastom. In: Moliterno Gunel J, Piepmeier J, Baehring J, eds. Malignant Brain Tumors. Springer; 2017. [Google Scholar]
- 2. Clarke J, Butowski N, Chang S. Recent advances in therapy for glioblastoma. Arch Neurol. 2010;67(3):279‐283. [DOI] [PubMed] [Google Scholar]
- 3. Prezado Y, Fois G, Le Duc G, Bravin A. Gadolinium dose enhancement studies in microbeam radiation therapy. Med Phys. 2009;36(8):3568‐3574. [DOI] [PubMed] [Google Scholar]
- 4. Malouff TD, Seneviratne DS, Ebner DK, et al. Boron neutron capture therapy: a review of clinical applications. Front Oncol. 2021;11:351. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 5. Takagaki M, Tomaru N, Maguire JA, Hosmane NS. Future applications of boron and gadolinium neutron capture therapy. In: Hosmane NS, ed. Boron Science: New Technologies and Applications. CRC Press; 2011. [Google Scholar]
- 6. Barth RF, Coderre JA, Vicente MG, Blue TE. Boron neutron capture therapy of cancer: current status and future prospects. Clin Cancer Res. 2005;11:3987‐4002. [DOI] [PubMed] [Google Scholar]
- 7. Slatkin DN. A history of boron neutron capture therapy of brain tumors. Postulation of a brain radiation dose tolerance limit. Brain. 1991;114:1609‐1629. [DOI] [PubMed] [Google Scholar]
- 8. Narmani A, Farhood B, Haghi‐Aminjan H, et al. Gadolinium nanoparticles as diagnostic and therapeutic agents: their delivery systems in magnetic resonance imaging and neutron capture therapy. J Drug Deliv Sci Technol. 2018;44:457‐466. [Google Scholar]
- 9. Zhang Y, Qian C, Li D, Zhao L. Rational surface modification of gadolinium borate nanoparticles enhancing colloidal stability in physiological media for potential neutron capture therapy and magnetic resonance imaging. Colloids Surf B Biointerfaces. 2022;218:112771. [DOI] [PubMed] [Google Scholar]
- 10. Mitin VN, Kulakov VN, Khokhlov VF, et al. Comparison of BNCT and GdNCT efficacy in treatment of canine cancer. Appl Radiat Isot. 2009;67(7‐8):S299‐S301. [DOI] [PubMed] [Google Scholar]
- 11. Zolfaghari M, Sedaghatizadeh M. Design of thermal neutron beam based on an electron linear accelerator for BNCT. Appl Radiat Isot. 2016;118:149‐153. [DOI] [PubMed] [Google Scholar]
- 12. Skwierawska D, López‐Valverde JA, Balcerzyk M, Leal A. Clinical viability of boron neutron capture therapy for personalized radiation treatment. Cancers. 2022;14(12):2865. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 13. Seki R, Wakisaka Y, Morimoto N, et al. Physics of epi‐thermal boron neutron capture therapy (epi‐thermal BNCT). Radiol Phys Technol. 2017;10:387‐408. [DOI] [PubMed] [Google Scholar]
- 14. Monti Hughes A, Schwint AE. Animal tumor models for boron neutron capture therapy studies (Excluding central nervous system solid tumors). Cancer Biother Radiopharm. 2022. [DOI] [PubMed] [Google Scholar]
- 15. Culbertson CN, Jevremovic T. Computational assessment of improved cell‐kill by gadolinium‐supplemented boron neutron capture therapy. Phys Med Biol. 2003;48(23):3943. [DOI] [PubMed] [Google Scholar]
- 16. Verbeke JM, Vujic JL, Leung KN. Neutron beam optimization for boron neutron capture therapy using the DD and DT high‐energy neutron sources. Nucl technol. 2000;129(2):257‐278. [Google Scholar]
- 17. Enger SA, Giusti V, Fortin MA, Lundqvist H, af Rosenschöld PM. Dosimetry for gadolinium neutron capture therapy (GdNCT). Radiat Meas. 2013;59:233‐240. [Google Scholar]
- 18. Salt C, Lennox AJ, Takagaki M, Maguire JA, Hosmane NS. Boron and gadolinium neutron capture therapy. Russ Chem Bull. 2004;53:1871‐1888. [Google Scholar]
- 19. Deagostino A, Protti N, Alberti D, et al. Insights into the use of gadolinium and gadolinium/boron‐based agents in imaging‐guided neutron capture therapy applications. Future Med Chem. 2016;8(8):899‐917. [DOI] [PubMed] [Google Scholar]
- 20. Le UM, Cui Z. Long‐circulating gadolinium‐encapsulated liposomes for potential application in tumor neutron capture therapy. Int J Pharm. 2006;312(1‐2):105‐112. [DOI] [PubMed] [Google Scholar]
- 21. Miller GA Jr, Hertel NE, Wehring BW, Horton JL. Gadolinium neutron capture therapy. Nucl Technol. 1993;103(3):320‐331. [Google Scholar]
- 22. Johns HE, Cunningham JR. The Physics of Radiology. 4th ed. Charles C Thomas, Springfield; 1983. [Google Scholar]
- 23. Protti N, Geninatti‐Crich S, Alberti D, et al. Evaluation of the dose enhancement of combined 10B+157Gd neutron capture therapy (NCT). Radiat Prot Dosimetry. 2015;166(1‐4):369‐373. [DOI] [PubMed] [Google Scholar]
- 24. Snyder WS, Ford MR, Warner GG, Fisher HL. Estimates for absorbed fractions for mono energetic photon sources uniformly distributed in various organs of a heterogeneous phantom. J Nucl Med Suppl. 1996;3:47. [PubMed] [Google Scholar]
- 25. White DR, Griffith RV, Wilson IJ. Report 46‐ Photon, electron, proton and neutron interaction data for body tissues. J ICRU. 1992:28. [Google Scholar]
- 26. Goorley JT, Kiger WS, Zamenhof RG. Reference dosimetry calculations for neutron capture therapy with comparison of analytical and voxel models. Med Phys. 2002;29:145‐156. [DOI] [PubMed] [Google Scholar]
- 27. Evaluated Nuclear Data File (ENDF) . Accessed 5 October 2024. https://www.nndc.bnl.gov/endf/
- 28. Stewart RD, Streitmatter SW, Argento DC, et al. Rapid MCNP simulation of DNA double strand break (DSB) relative biological effectiveness (RBE) for photons, neutrons, and light ions. Phys Med Biol. 2015;60(21):8249‐8274. [DOI] [PubMed] [Google Scholar]
- 29. Hsiao Y, Stewart RD. Monte Carlo simulation of DNA damage induction by X‐ray and selected radioisotopes. Phys Med Biol. 2008;53:233‐244. [DOI] [PubMed] [Google Scholar]
- 30. Wang CC, Hsiao Y, Lee CC, Chao TC, Wang CC, Tung CJ. Monte Carlo simulations of therapeutic proton beams for relative biological effectiveness of double‐strand break. Int J Radiat Biol. 2012;88(1‐2):158‐163. [DOI] [PubMed] [Google Scholar]
- 31. Huang YW, Pan CY, Hsiao YY, Chao TC, Lee CC, Tung CJ. Monte Carlo simulations of the relative biological effectiveness for DNA double strand breaks from 300 MeV u(‐1) carbon‐ion beams. Phys Med Biol. 2015;60(15):5995‐6012. [DOI] [PubMed] [Google Scholar]
- 32. Semenenko VA, Stewart RD. A fast Monte Carlo algorithm to simulate the spectrum of DNA damages formed by ionizing radiation. Radiat Res. 2004;161:451‐457. [DOI] [PubMed] [Google Scholar]
- 33. Chatzipapas KP, Papadimitroulas P, Emfietzoglou D, et al. Ionizing radiation and complex DNA damage: quantifying the radiobiological damage using Monte. Cancers (Basel). 2020;12(4):799. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 34. Friedland W, Schmitt E, Kundrát P, et al. Comprehensive track‐structure based evaluation of DNA damage by light ions from radiotherapy‐relevant energies down to stopping. Sci Rep. 2017;7:45161. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 35. Semenenko VA, Stewart RD. Fast Monte Carlo simulation of DNA damage formed by electrons and light ions. Phys Med Biol. 2006;51:1693‐1706. [DOI] [PubMed] [Google Scholar]
- 36. Stewart RD, Yu VK, Georgakilas AG, Koumenis C, Park JH, Carlson DJ. Effects of radiation quality and oxygen on clustered DNA lesions and cell death. Radiat Res. 2011;176:587‐602. [DOI] [PubMed] [Google Scholar]
- 37. Mavragani IV, Nikiski Z, Kalospyros SA, Georgakilas AG. Ionizing radiation and complex DNA damage: from prediction to detection challenges and biological significance. Cancers (Basel). 2019;11:1789. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 38. Masiakowski JT, Horton JL, Peters LJ. Gadolinium neutron capture therapy for brain tumors: a computer study. Medical Phys. 1992;19:1277‐1284. [DOI] [PubMed] [Google Scholar]
- 39. Shamsabadi R, Baghani HR, Azadegan B, Mowlavi AA. Impact of spherical applicator diameter on relative biologic effectiveness of low energy IORT X‐rays: a hybrid Monte Carlo study. Phys Med. 2020;80:297‐307. [DOI] [PubMed] [Google Scholar]
- 40. Qi J, Geng C, Tang X, et al. Effect of spatial distribution of boron and oxygen concentration on DNA damage induced from boron neutron capture therapy using Monte Carlo simulations. Int J Radiat Biol. 2021;97:986‐996. [DOI] [PubMed] [Google Scholar]
- 41. Cerullo N, Bufalino D, Daquino G. Progress in the use of gadolinium for NCT. Appl Radiat Isot. 2009;67:S157‐S160. [DOI] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Data Availability Statement
Data will be available upon reasonable request from the corresponding author.


