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Dosimetry and microdosimetry of monoenergetic neutrons using recombination chamber – Measurements and Monte Carlo simulations. RADIAT MEAS 2022. [DOI: 10.1016/j.radmeas.2022.106861] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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Chattaraj A, Selvam TP. TISSUE-EQUIVALENCE OF H2 GAS FOR MICRODOSIMETRY IN NEUTRON FIELDS: A GEANT4 MONTE CARLO STUDY. RADIATION PROTECTION DOSIMETRY 2021; 197:202-211. [PMID: 34977947 DOI: 10.1093/rpd/ncab174] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/03/2021] [Revised: 11/01/2021] [Accepted: 11/18/2021] [Indexed: 06/14/2023]
Abstract
Hydrogen (H2) as filling gas in Tissue-equivalent proportional counter (TEPC) for measurements of microdosimetric distributions in neutron fields is investigated using the Monte Carlo-based Geant4 toolkit. The neutron fields considered are monoenergetic neutrons (1 keV-14 MeV) and ISO reference neutron sources 241Am-Be, 241Am-B, 252Cf and 252Cf + D2O. Based on the energy deposited in the gas cavities (tissue-equivalent (TE) propane and H2) of the TEPC, density scaling correction, ${f}_{\rho }$, to be applied on H2 gas to achieve tissue-equivalence is calculated for the above sources at 1μm site size. The calculated value of ${f}_{\rho }$ for the ISO-neutron sources is 0.40, which suggests that energy deposition in the gas cavities is predominantly due to crossers. In the case of monoenergetic neutrons, depending upon the energy, ${f}_{\rho }$ is in the range of 0.11-0.45. The study shows that the TE propane and H2-based microdosimetric distributions are comparable when the density of H2 is scaled appropriately. Mean quality factor $\overline{Q}$ calculated based on microdosimetric distribution increases initially with neutron energy up to 100 keV and thereafter decreases with energy. Depending upon the neutron energy, TE propane and H2-based $\overline{Q}$ values are comparable to within 3-15%, and for the ISO sources, the comparison is within 5-8%. For the ISO neutron sources, $\overline{Q}$ values are in the range of ~10-15.
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Chattaraj A, Selvam TP, Datta D. INVESTIGATION OF APPLICABILITY OF PURE PROPANE GAS FOR MICRODOSIMETRY AT NEUTRON FIELDS: A MONTE CARLO STUDY. RADIATION PROTECTION DOSIMETRY 2019; 185:74-86. [PMID: 30576567 DOI: 10.1093/rpd/ncy261] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/04/2018] [Revised: 11/01/2018] [Accepted: 11/23/2018] [Indexed: 06/09/2023]
Abstract
Applicability of pure propane gas for microdosimetric measurements in neutron fields was investigated using the FLUKA Monte Carlo code. Monoenergetic neutrons in the energy range 1 keV-20 MeV and the ISO-neutron sources such as 241Am-Be, 241Am-B, 252Cf and 252Cf + D2O were considered in the present study. The tissue-equivalent proportional counter (TEPC) simulated in the study was LET-1/2 (by Far West Technology) with site sizes 1, 2 and 8 μm. The study demonstrates that for a given site size, the TEPC filled with tissue-equivalent propane and pure propane gases produce similar microdosimetric distributions when the density of pure propane gas is lowered appropriately. For the ISO-neutron sources, the density of propane gas requires scaling by a factor 0.85. For the monoenergetic neutrons, depending upon the neutron energy, the values of scaling factors are in the range of 0.58-0.93.
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Affiliation(s)
- Arghya Chattaraj
- Radiological Physics and Advisory Division, Health, Safety and Environment Group, Bhabha Atomic Research Centre, Mumbai, Maharashtra, India
| | - T Palani Selvam
- Radiological Physics and Advisory Division, Health, Safety and Environment Group, Bhabha Atomic Research Centre, Mumbai, Maharashtra, India
| | - D Datta
- Radiological Physics and Advisory Division, Health, Safety and Environment Group, Bhabha Atomic Research Centre, Mumbai, Maharashtra, India
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Agosteo S, Fazzi A, D’Angelo G, Introini MV, Pola A, Pirovano C, Varoli V. Study of a Solid-State Microdosimeter Based on Micrometric-Size Diodes Coupled to a Residual Energy Measurement Stage. NUCL TECHNOL 2017. [DOI: 10.13182/nt09-a9123] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- S. Agosteo
- Dipartimento di Energia, via Ponzio 3403, 20133 Milano, Italy
- Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milano, Italy
| | - A. Fazzi
- Dipartimento di Energia, via Ponzio 3403, 20133 Milano, Italy
- Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milano, Italy
| | - G. D’Angelo
- Dipartimento di Energia, via Ponzio 3403, 20133 Milano, Italy
- Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milano, Italy
| | - M. V. Introini
- Dipartimento di Energia, via Ponzio 3403, 20133 Milano, Italy
- Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milano, Italy
| | - A. Pola
- Dipartimento di Energia, via Ponzio 3403, 20133 Milano, Italy
- Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milano, Italy
| | - C. Pirovano
- Dipartimento di Energia, via Ponzio 3403, 20133 Milano, Italy
- Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milano, Italy
| | - V. Varoli
- Dipartimento di Energia, via Ponzio 3403, 20133 Milano, Italy
- Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milano, Italy
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Sasaki MS, Endo S, Hoshi M, Nomura T. Neutron relative biological effectiveness in Hiroshima and Nagasaki atomic bomb survivors: a critical review. JOURNAL OF RADIATION RESEARCH 2016; 57:583-595. [PMID: 27614201 PMCID: PMC5137296 DOI: 10.1093/jrr/rrw079] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/08/2016] [Revised: 05/09/2016] [Accepted: 06/12/2016] [Indexed: 06/06/2023]
Abstract
The calculated risk of cancer in humans due to radiation exposure is based primarily on long-term follow-up studies, e.g. the life-span study (LSS) on atomic bomb (A-bomb) survivors in Hiroshima and Nagasaki. Since A-bomb radiation consists of a mixture of γ-rays and neutrons, it is essential that the relative biological effectiveness (RBE) of neutrons is adequately evaluated if a study is to serve as a reference for cancer risk. However, the relatively small neutron component hampered the direct estimation of RBE in LSS data. To circumvent this problem, several strategies have been attempted, including dose-independent constant RBE, dose-dependent variable RBE, and dependence on the degrees of dominance of intermingled γ-rays. By surveying the available literature, we tested the chromosomal RBE of neutrons as the biological endpoint for its equivalence to the microdosimetric quantities obtained using a tissue-equivalent proportional counter (TEPC) in various neutron fields. The radiation weighting factor, or quality factor, Qn, of neutrons as expressed in terms of the energy dependence of the maximum RBE, RBEm, was consistent with that predicted by the TEPC data, indicating that the chromosomally measured RBE was independent of the magnitude of coexisting γ-rays. The obtained neutron RBE, which varied with neutron dose, was confirmed to be the most adequate RBE system in terms of agreement with the cancer incidence in A-bomb survivors, using chromosome aberrations as surrogate markers. With this RBE system, the cancer risk in A-bomb survivors as expressed in unit dose of reference radiation is equally compatible with Hiroshima and Nagasaki cities, and may be potentially applicable in other cases of human radiation exposure.
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Affiliation(s)
- Masao S Sasaki
- Kyoto University and National Institute of Biomedical Innovation, Health and Nutrition, 17-12 Shironosato, Nagaokakyo-shi, Kyoto 617-0835, Japan
| | - Satoru Endo
- Quantum Energy Application, Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-hiroshima, Hiroshima 739-8527, Japan
| | - Masaharu Hoshi
- Institute for Peace Science, Hiroshima University, 1-1-89 Higashisenda, Naka-ku, Hiroshima 730-0053, Japan
| | - Taisei Nomura
- National Institute of Biomedical Innovation, Health and Nutrition, 7-6-8 Saito-Asagi, Ibaraki-shi, Osaka 567-0086, Japan
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Waker AJ, Mahilrajan T, Sandhu H. Environmental microdosimetry: microdosimetric characterisation of low-dose exposures. RADIATION PROTECTION DOSIMETRY 2015; 166:204-209. [PMID: 25883311 DOI: 10.1093/rpd/ncv165] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
A number of researchers, as well as the International Commission on Radiation Units and Measurements, have described how concepts and quantities used in microdosimetry best capture the stochastic nature of low-level exposures in terms of cell hits and the fraction of cells affected within a tissue. However, the concepts of microdosimetry are not generally intuitive to the public or indeed to health physicists. In this article, the methods of conventional internal dosimetry was applied to different forms of radioactive iodine to derive cell-hit numbers and cell fractions affected by low-level exposures, and it is shown that microdosimetric analysis is compatible with conventional dosimetry but has the advantage of underscoring the stochastic nature of ionising radiation at low dose. The microdosimetric description of low-dose exposures derived in this work could be improved with the use of Monte Carlo track structure codes and more realistic models of different tissues and their cellular structure.
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Affiliation(s)
- A J Waker
- Faculty of Energy Systems and Nuclear Science, UOIT, 2000 Simcoe Street North, Oshawa, ON, Canada L1H 7K4
| | - T Mahilrajan
- Faculty of Energy Systems and Nuclear Science, UOIT, 2000 Simcoe Street North, Oshawa, ON, Canada L1H 7K4
| | - H Sandhu
- Faculty of Energy Systems and Nuclear Science, UOIT, 2000 Simcoe Street North, Oshawa, ON, Canada L1H 7K4
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Matysiak W, Atanackovic J, Waker AJ. DOSIMETRIC response of a REM-500 in low energy neutron fields typical of nuclear power plants. HEALTH PHYSICS 2012; 102:603-613. [PMID: 22570919 DOI: 10.1097/hp.0b013e318237e562] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
This study investigates the response of a REM-500 to assess neutron quality factor and dose equivalent in low energy neutron fields, which are commonly encountered in the workplace environment of nuclear power stations. The McMaster University 3 MV Van de Graaff accelerator facility was used to measure the response of the instrument in monoenergetic neutron fields in the energy range 51 to 727 keV by bombarding a thin LiF target with 1.93-2.50 MeV protons. The energy distribution of the neutron fields produced in the facility was measured by a (3)He filled gas ionization chamber. The MCA mode of the REM-500 instrument was used to collect lineal energy distributions at varying neutron energies and to calculate the frequency and dose-mean lineal energies. The effective quality factor, Q-, was also calculated using the values of Q(y)listed in the REM-500 operation manual and compared with those of ICRP 60. The authors observed a continuously increasing trend in y - F, y-D, and Q-with an increase in neutron energy. It is interesting to note that standard tissue equivalent proportional counters (TEPCs) filled with tissue equivalent(TE) gas give rise to a similar trend for these microdosimetric quantities of interest in the same energy range; however, the averages calculated in this study are larger by about 15%compared to a TEPC filled with propane-based TE gas probably because of the larger stopping power of protons in propane compared to TE gas. These somewhat larger event sizes did not result in any significant increase in the Q-compared to those obtained from a TEPC filled with TE gas and were found to be in good agreement with other measurements reported earlier at corresponding neutron energies. The instrument quality factor response, R(Q), defined as the ratio of measured quality factor to the calculated quality factor in an ICRU tissue sphere,was found to vary with neutron energy. The instrument response,R(Q), was ~0.6 at 727 keV, which deteriorates further to ~0.3 at 51 keV neutron energy. The counter response based on ICRP 60 was comparable to an ideal response of 1.0 above 600 keV, which dropped to ~0.8 at 159 keV and ~0.4 at 51 keV neutron energy. The decline in counter quality factor response based on ICRP 60 was found to be much steeper than that when using the instrument’s built-in function for quality factor.The REM-500 measures a dose equivalent at 727 keV,which is 60% of the ambient dose equivalent, 40% at 159 keV,and 15% at 51 keV. Two algorithms have been developed, one for real time measurement and another to be used post measurement,and their efficacy is demonstrated in determining the quality factor and the ambient dose equivalent in low energy neutron fields, which are typical for the workplace environment in CANDU® nuclear power generating stations.
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Fratini E, Licursi V, Artibani M, Kobos K, Colautti P, Negri R, Amendola R. Dose-dependent onset of regenerative program in neutron irradiated mouse skin. PLoS One 2011; 6:e19242. [PMID: 21556364 PMCID: PMC3083422 DOI: 10.1371/journal.pone.0019242] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/31/2010] [Accepted: 03/29/2011] [Indexed: 02/07/2023] Open
Abstract
Background Tissue response to irradiation is not easily recapitulated by cell culture studies. The objective of this investigation was to characterize, the transcriptional response and the onset of regenerative processes in mouse skin irradiated with different doses of fast neutrons. Methodology/Principal Findings To monitor general response to irradiation and individual animal to animal variation, we performed gene and protein expression analysis with both pooled and individual mouse samples. A high-throughput gene expression analysis, by DNA oligonucleotide microarray was done with three months old C57Bl/6 mice irradiated with 0.2 and 1 Gy of mono-energetic 14 MeV neutron compared to sham irradiated controls. The results on 440 irradiation modulated genes, partially validated by quantitative real time RT-PCR, showed a dose-dependent up-regulation of a sub-class of keratin and keratin associated proteins, and members of the S100 family of Ca2+-binding proteins. Immunohistochemistry confirmed mRNA expression data enabled mapping of protein expression. Interestingly, proteins up-regulated in thickening epidermis: keratin 6 and S100A8 showed the most significant up-regulation and the least mouse-to-mouse variation following 0.2 Gy irradiation, in a concerted effort toward skin tissue regeneration. Conversely, mice irradiated at 1 Gy showed most evidence of apoptosis (Caspase-3 and TUNEL staining) and most 8-oxo-G accumulation at 24 h post-irradiation. Moreover, no cell proliferation accompanied 1 Gy exposure as shown by Ki67 immunohistochemistry. Conclusions/Significance The dose-dependent differential gene expression at the tissue level following in vivo exposure to neutron radiation is reminiscent of the onset of re-epithelialization and wound healing and depends on the proportion of cells carrying multiple chromosomal lesions in the entire tissue. Thus, this study presents in vivo evidence of a skin regenerative program exerted independently from DNA repair-associated pathways.
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Affiliation(s)
- Emiliano Fratini
- ENEA, Agenzia nazionale per le nuove tecnologie, l′energia e lo sviluppo economico sostenibile Roma, Italy
| | - Valerio Licursi
- Sapienza Università di Roma, Dipartimento di Biologia e Biotecnologie “Charles Darwin”, Roma, Italy
| | - Mara Artibani
- ENEA, Agenzia nazionale per le nuove tecnologie, l′energia e lo sviluppo economico sostenibile Roma, Italy
| | - Katarzyna Kobos
- ENEA, Agenzia nazionale per le nuove tecnologie, l′energia e lo sviluppo economico sostenibile Roma, Italy
| | | | - Rodolfo Negri
- Sapienza Università di Roma, Dipartimento di Biologia e Biotecnologie “Charles Darwin”, Roma, Italy
- Istituto Pasteur-Fondazione Cenci Bolognetti, Roma, Italy
| | - Roberto Amendola
- ENEA, Agenzia nazionale per le nuove tecnologie, l′energia e lo sviluppo economico sostenibile Roma, Italy
- * E-mail:
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Waker AJ, Aslam. Study of microdosimetric energy deposition patterns in tissue-equivalent medium due to low-energy neutron fields using a graphite-walled proportional counter. Radiat Res 2011; 175:806-13. [PMID: 21476858 DOI: 10.1667/rr2516.1] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Abstract
To improve radiation protection dosimetry for low-energy neutron fields encountered in nuclear power reactor environments, there is increasing interest in modeling neutron energy deposition in metrological instruments such as tissue-equivalent proportional counters (TEPCs). Along with these computational developments, there is also a need for experimental data with which to benchmark and test the results obtained from the modeling methods developed. The experimental work described in this paper is a study of the energy deposition in tissue-equivalent (TE) medium using an in-house built graphite-walled proportional counter (GPC) filled with TE gas. The GPC is a simple model of a standard TEPC because the response of the counter at these energies is almost entirely due to the neutron interactions in the sensitive volume of the counter. Energy deposition in tissue spheres of diameter 1, 2, 4 and 8 µm was measured in low-energy neutron fields below 500 keV. We have observed a continuously increasing trend in microdosimetric averages with an increase in neutron energy. The values of these averages decrease as we increase the simulated diameter at a given neutron energy. A similar trend for these microdosimetric averages has been observed for standard TEPCs and the Rossi-type, TE, spherical wall-less counter filled with propane-based TE gas in the same energy range. This implies that at the microdosimetric level, in the neutron energy range we employed in this study, the pattern of average energy deposited by starter and insider proton recoil events in the gas is similar to those generated cumulatively by crosser and stopper events originating from the counter wall plus starter and insider recoil events originating in the sensitive volume of a TEPC.
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Affiliation(s)
- A J Waker
- Faculty of Energy Systems and Nuclear Science, UOIT, Oshawa, Ontario, Canada
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Waker AJ. Performance of a high sensitivity multi-element tissue equivalent proportional counter for radiation protection neutron monitoring measurements. HEALTH PHYSICS 2010; 98:692-703. [PMID: 20386199 DOI: 10.1097/hp.0b013e3181cfe1e9] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/29/2023]
Abstract
This study describes the performance of a novel design of compact multi-element tissue equivalent proportional counter (METEPC), which consists of 61 individual cylindrical counting volumes machined in a single block of tissue equivalent plastic. Each counting volume is a separate cylinder of internal diameter of 0.5 cm and height 5 cm. The performance of the METEPC was examined experimentally to obtain microdosimetric information, absorbed dose, dose equivalent, and sensitivity in the neutron energy range of 34 to 423 keV where commercially available tissue equivalent proportional counters (TEPCs) under respond as much as 40% of the ambient dose equivalent. A simple elongated cylindrical sampling geometry of METEPC provides very good estimates of microdosimetric average, y(D), and dosimetric quantities of interest, H*(10) and Q, which are comparable to those obtained with the conventional spherical sampling geometry of a standard TEPC. The sensitivity of METEPC is comparable to that of a conventional 12.7 cm diameter TEPC, which suggests that it is able to produce measurements in low dose rate radiation environments with the same precision in a given length of time as that obtained with the conventional TEPC. METEPC, being possibly the simplest design available in the multi-element geometrical configuration and approximately 9 times smaller in volume than that of a conventional 12.7 cm diameter TEPC, could form the basis of a portable monitoring system in mixed field radiation environments and may also be useful for radiation dosimetric measurements in beams of limited cross-sections and in phantoms.
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Farahmand M, Bos AJJ, De Nardo L, van Eijk CWE. First microdosimetric measurements with a TEPC based on a GEM. RADIATION PROTECTION DOSIMETRY 2004; 110:839-843. [PMID: 15353756 DOI: 10.1093/rpd/nch144] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
A new type of mini multi-element tissue-equivalent proportional counter (TEPC) based on a gas electron multiplier (GEM) has been designed and constructed. This counter is in particular suitable to be constructed with a small sensitive volume so that it can be used for microdosimetry in intense pulsed radiation fields to measure the microdosimetric spectrum in the beam of, for instance, a clinical linear accelerator. The concept lends itself also for a mini multi-element version of the counter to be used for applications in which a high sensitivity is required. In this paper, we present the first microdosimetric measurements of this novel counter exposed to a 14 MeV monoenergetic neutron beam and a californium (252Cf) source for a counter cavity diameter of 1.8 mm simulating 1.0 microm tissue site size. The measured spectra showed an excellent agreement with spectra from the literature. The specific advantages of the TEPC-GEM are discussed.
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Affiliation(s)
- M Farahmand
- Delft University of Technology, IRI, 2629 JB Delft, The Netherlands.
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Prestwich WV, McNeill FE, Waker AJ. Development of a low-energy monoenergetic neutron source for applications in low-dose radiobiological and radiochemical research. Appl Radiat Isot 2003; 58:629-42. [PMID: 12798371 DOI: 10.1016/s0969-8043(03)00069-1] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Abstract
The McMaster University 3 MV KN Van de Graff accelerator facility primarily dedicated to in vivo neutron activation measurements has been used to produce moderate dose rates of monoenergetic fast neutrons of energy ranging from 150 to 600 keV with a small energy spread of about 25 keV (1sigma width of Gaussian) by bombarding thin lithium targets with 2.00-2.40 MeV protons. The calculated dose rate of the monoenergetic neutrons produced using thin lithium targets as functions of beam energy, target thickness, lab angle relative to beam direction, and the solid angle subtended by the sample with the target has also been reported.
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Santa Cruz GA, Palmer MR, Matatagui E, Zamenhof RG. A theoretical model for event statistics in microdosimetry. I: Uniform distribution of heavy ion tracks. Med Phys 2001; 28:988-96. [PMID: 11439495 DOI: 10.1118/1.1376439] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022] Open
Abstract
In this work we describe a novel approach to solving microdosimetry problems using conditional probabilities and geometric concepts. The intersection of a convex site with a field of randomly oriented straight track segments is formulated in terms of the relative overlap between the chord associated with the action line of the track and the track itself. This results in a general formulation that predicts the contribution of crossers, stoppers, starters, and insiders in terms of two separate functions: the chord length distribution (characteristic of the site geometry and the type of randomness) and an independent set of conditional probabilities. A Monte Carlo code was written in order to validate the proposed approach. The code can represent the intersection between an isotropic field of charged particle tracks and a general ellipsoid of unrestricted geometry. This code was used to calculate the event distribution for a sphere as well as the expected mean value and variance of the track length distribution and to compare these against the deterministic calculations. The observed agreement was shown to be very good, within the precision of the Monte Carlo approach. The formulation is used to calculate the event frequency, lineal energy, and frequency mean specific energy for several monoenergetic and isotropic proton fields in a spherical site, as a function of the site diameter, proton energy, and the event type.
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Affiliation(s)
- G A Santa Cruz
- Beth Israel Deaconess Medical Center, Harvard Medical School, Boston, Massachusetts 02215,
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