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Tuan Anh L, Ngoc Hoang T, Thibaut Y, Chatzipapas K, Sakata D, Incerti S, Villagrasa C, Perrot Y. "dsbandrepair" - An updated Geant4-DNA simulation tool for evaluating the radiation-induced DNA damage and its repair. Phys Med 2024; 124:103422. [PMID: 38981169 DOI: 10.1016/j.ejmp.2024.103422] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 02/07/2024] [Revised: 06/07/2024] [Accepted: 06/29/2024] [Indexed: 07/11/2024] Open
Abstract
PURPOSE Interdisciplinary scientific communities have shown large interest to achieve a mechanistic description of radiation-induced biological damage, aiming to predict biological results produced by different radiation quality exposures. Monte Carlo track-structure simulations are suitable and reliable for the study of early DNA damage induction used as input for assessing DNA damage. This study presents the most recent improvements of a Geant4-DNA simulation tool named "dsbandrepair". METHODS "dsbandrepair" is a Monte Carlo simulation tool based on a previous code (FullSim) that estimates the induction of early DNA single-strand breaks (SSBs) and double-strand breaks (DSBs). It uses DNA geometries generated by the DNAFabric computational tool for simulating the induction of early single-strand breaks (SSBs) and double-strand breaks (DSBs). Moreover, the new tool includes some published radiobiological models for survival fraction and un-rejoined DSB. Its application for a human fibroblast cell and human umbilical vein endothelial cell containing both heterochromatin and euchromatin was conducted. In addition, this new version offers the possibility of using the new IRT-syn method for computing the chemical stage. RESULTS The direct and indirect strand breaks, SSBs, DSBs, and damage complexity obtained in this work are equivalent to those obtained with the previously published simulation tool when using the same configuration in the physical and chemical stages. Simulation results on survival fraction and un-rejoined DSB are in reasonable agreement with experimental data. CONCLUSIONS "dsbandrepair" is a tool for simulating DNA damage and repair, benchmarked against experimental data. It has been released as an advanced example in Geant4.11.2.
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Affiliation(s)
- Le Tuan Anh
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN), BP 17, 92262 Fontenay-aux-Roses, France
| | - Tran Ngoc Hoang
- CNRS/IN2P3, CENBG, UMR 5797, Bordeaux University, 33170 Gradignan, France
| | - Yann Thibaut
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN), BP 17, 92262 Fontenay-aux-Roses, France
| | | | | | - Sébastien Incerti
- CNRS/IN2P3, CENBG, UMR 5797, Bordeaux University, 33170 Gradignan, France
| | - Carmen Villagrasa
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN), BP 17, 92262 Fontenay-aux-Roses, France
| | - Yann Perrot
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN), BP 17, 92262 Fontenay-aux-Roses, France
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Chatzipapas K, Dordevic M, Zivkovic S, Tran NH, Lampe N, Sakata D, Petrovic I, Ristic-Fira A, Shin WG, Zein S, Brown JMC, Kyriakou I, Emfietzoglou D, Guatelli S, Incerti S. Geant4-DNA simulation of human cancer cells irradiation with helium ion beams. Phys Med 2023; 112:102613. [PMID: 37356419 DOI: 10.1016/j.ejmp.2023.102613] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 02/20/2023] [Revised: 05/03/2023] [Accepted: 05/30/2023] [Indexed: 06/27/2023] Open
Abstract
PURPOSE This study aimed to develop a computational environment for the accurate simulation of human cancer cell irradiation using Geant4-DNA. New cell geometrical models were developed and irradiated by alpha particle beams to induce DNA damage. The proposed approach may help further investigation of the benefits of external alpha irradiation therapy. METHODS The Geant4-DNA Monte Carlo (MC) toolkit allows the simulation of cancer cell geometries that can be combined with accurate modelling of physical, physicochemical and chemical stages of liquid water irradiation, including radiolytic processes. Geant4-DNA is used to calculate direct and non-direct DNA damage yields, such as single and double strand breaks, produced by the deposition of energy or by the interaction of DNA with free radicals. RESULTS In this study, the "molecularDNA" example application of Geant4-DNA was used to quantify early DNA damage in human cancer cells upon irradiation with alpha particle beams, as a function of linear energy transfer (LET). The MC simulation results are compared to experimental data, as well as previously published simulation data. The simulation results agree well with the experimental data on DSB yields in the lower LET range, while the experimental data on DSB yields are lower than the results obtained with the "molecularDNA" example in the higher LET range. CONCLUSION This study explored and demonstrated the possibilities of the Geant4-DNA toolkit together with the "molecularDNA" example to simulate the helium beam irradiation of cancer cell lines, to quantify the early DNA damage, or even the following DNA damage response.
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Affiliation(s)
| | - Milos Dordevic
- Vinca Institute of Nuclear Sciences, National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovica Alasa 12-14, 11351 Vinca, Belgrade, Serbia.
| | - Sara Zivkovic
- Vinca Institute of Nuclear Sciences, National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovica Alasa 12-14, 11351 Vinca, Belgrade, Serbia
| | - Ngoc Hoang Tran
- University of Bordeaux, CNRS, LP2i, UMR5797, F-33170 Gradignan, France
| | | | - Dousatsu Sakata
- Division of Health Sciences, Osaka University, Osaka 565-0871, Japan
| | - Ivan Petrovic
- Vinca Institute of Nuclear Sciences, National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovica Alasa 12-14, 11351 Vinca, Belgrade, Serbia
| | - Aleksandra Ristic-Fira
- Vinca Institute of Nuclear Sciences, National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovica Alasa 12-14, 11351 Vinca, Belgrade, Serbia
| | - Wook-Geun Shin
- Physics Division, Department of Radiation Oncology, Massachusetts General Hospital and Harvard Medical School, Boston, 02114 MA, USA
| | - Sara Zein
- University of Bordeaux, CNRS, LP2i, UMR5797, F-33170 Gradignan, France
| | - Jeremy M C Brown
- Optical Sciences Centre, Department of Physics and Astronomy, Swinburne University of Technology, Hawthorn 3122, Australia
| | - Ioanna Kyriakou
- Medical Physics Laboratory, Department of Medicine, University of Ioannina, 45110 Ioannina, Greece
| | - Dimitris Emfietzoglou
- Medical Physics Laboratory, Department of Medicine, University of Ioannina, 45110 Ioannina, Greece
| | - Susanna Guatelli
- Centre for Medical Radiation Physics, University of Wollongong, Wollongong, NSW 2522, Australia
| | - Sebastien Incerti
- University of Bordeaux, CNRS, LP2i, UMR5797, F-33170 Gradignan, France
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Chatzipapas KP, Tran NH, Dordevic M, Zivkovic S, Zein S, Shin W, Sakata D, Lampe N, Brown JMC, Ristic‐Fira A, Petrovic I, Kyriakou I, Emfietzoglou D, Guatelli S, Incerti S. Simulation of DNA damage using Geant4‐DNA: an overview of the “molecularDNA” example application. PRECISION RADIATION ONCOLOGY 2023. [DOI: 10.1002/pro6.1186] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/17/2023] Open
Affiliation(s)
| | - Ngoc Hoang Tran
- University of Bordeaux, CNRS, LP2I Bordeaux, UMR 5797 Gradignan France
| | - Milos Dordevic
- Vinca Institute of Nuclear Sciences, National Institute of the Republic of Serbia University of Belgrade, Vinca Belgrade Serbia
| | - Sara Zivkovic
- Vinca Institute of Nuclear Sciences, National Institute of the Republic of Serbia University of Belgrade, Vinca Belgrade Serbia
| | - Sara Zein
- University of Bordeaux, CNRS, LP2I Bordeaux, UMR 5797 Gradignan France
| | - Wook‐Geun Shin
- Physics Division, Department of Radiation Oncology Massachusetts General Hospital & Harvard Medical School Boston Massachusetts USA
| | | | | | - Jeremy M. C. Brown
- Department of Physics and Astronomy Swinburne University of Technology Melbourne Australia
| | - Aleksandra Ristic‐Fira
- Vinca Institute of Nuclear Sciences, National Institute of the Republic of Serbia University of Belgrade, Vinca Belgrade Serbia
| | - Ivan Petrovic
- Vinca Institute of Nuclear Sciences, National Institute of the Republic of Serbia University of Belgrade, Vinca Belgrade Serbia
| | - Ioanna Kyriakou
- Medical Physics Laboratory Department of Medicine University of Ioannina Ioannina Greece
| | - Dimitris Emfietzoglou
- Medical Physics Laboratory Department of Medicine University of Ioannina Ioannina Greece
| | - Susanna Guatelli
- Centre for Medical Radiation Physics University of Wollongong Wollongong New South Wales Australia
| | - Sébastien Incerti
- University of Bordeaux, CNRS, LP2I Bordeaux, UMR 5797 Gradignan France
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Sarrut D, Arbor N, Baudier T, Borys D, Etxebeste A, Fuchs H, Gajewski J, Grevillot L, Jan S, Kagadis GC, Kang HG, Kirov A, Kochebina O, Krzemien W, Lomax A, Papadimitroulas P, Pommranz C, Roncali E, Rucinski A, Winterhalter C, Maigne L. The OpenGATE ecosystem for Monte Carlo simulation in medical physics. Phys Med Biol 2022; 67:10.1088/1361-6560/ac8c83. [PMID: 36001985 PMCID: PMC11149651 DOI: 10.1088/1361-6560/ac8c83] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/20/2022] [Accepted: 08/24/2022] [Indexed: 11/12/2022]
Abstract
This paper reviews the ecosystem of GATE, an open-source Monte Carlo toolkit for medical physics. Based on the shoulders of Geant4, the principal modules (geometry, physics, scorers) are described with brief descriptions of some key concepts (Volume, Actors, Digitizer). The main source code repositories are detailed together with the automated compilation and tests processes (Continuous Integration). We then described how the OpenGATE collaboration managed the collaborative development of about one hundred developers during almost 20 years. The impact of GATE on medical physics and cancer research is then summarized, and examples of a few key applications are given. Finally, future development perspectives are indicated.
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Affiliation(s)
- David Sarrut
- Université de Lyon; CREATIS; CNRS UMR5220; Inserm U1294; INSA-Lyon; Université Lyon 1, Léon Bérard cancer center, Lyon, France
| | - Nicolas Arbor
- Université de Strasbourg, IPHC, CNRS, UMR7178, F-67037 Strasbourg, France
| | - Thomas Baudier
- Université de Lyon; CREATIS; CNRS UMR5220; Inserm U1294; INSA-Lyon; Université Lyon 1, Léon Bérard cancer center, Lyon, France
| | - Damian Borys
- Department of Systems Biology and Engineering, Silesian University of Technology, Gliwice, Poland
| | - Ane Etxebeste
- Université de Lyon; CREATIS; CNRS UMR5220; Inserm U1294; INSA-Lyon; Université Lyon 1, Léon Bérard cancer center, Lyon, France
| | - Hermann Fuchs
- MedAustron Ion Therapy Center, Wiener Neustadt, Austria
- Medical University of Vienna, Department of Radiation Oncology, Vienna, Vienna, Währinger Gürtel 18-20, A-1090 Wien, Austria
| | - Jan Gajewski
- Institute of Nuclear Physics Polish Academy of Sciences, Krakow, Poland
| | | | - Sébastien Jan
- Université Paris-Saclay, Inserm, CNRS, CEA, Laboratoire d'Imagerie Biomédicale Multimodale (BioMaps), F-91401 Orsay, France
| | - George C Kagadis
- 3DMI Research Group, Department of Medical Physics, School of Medicine, University of Patras, Patras, Greece
| | - Han Gyu Kang
- National Institutes for Quantum Science and Technology (QST), 4-9-1 Anagawa, Inage-ku, Chiba 263-8555, Japan
| | - Assen Kirov
- Memorial Sloan Kettering Cancer, New York, NY 10021, United States of America
| | - Olga Kochebina
- Université Paris-Saclay, Inserm, CNRS, CEA, Laboratoire d'Imagerie Biomédicale Multimodale (BioMaps), F-91401 Orsay, France
| | - Wojciech Krzemien
- High Energy Physics Division, National Centre for Nuclear Research, Otwock-Świerk, Poland
- Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, S. Lojasiewicza 11, 30-348 Krakow, Poland
- Centre for Theranostics, Jagiellonian University, Kopernika 40 St, 31 501 Krakow, Poland
| | - Antony Lomax
- Center for Proton Therapy, PSI, Switzerland
- Department of Physics, ETH Zurich, Switzerland
| | | | - Christian Pommranz
- Werner Siemens Imaging Center, Department of Preclinical Imaging and Radiopharmacy, Eberhard Karls University Tuebingen, Roentgenweg 13, D-72076 Tuebingen, Germany
- Institute for Astronomy and Astrophysics, Eberhard Karls University Tuebingen, Sand 1, D-72076 Tuebingen, Germany
| | - Emilie Roncali
- University of California Davis, Departments of Biomedical Engineering and Radiology, Davis, CA 95616, United States of America
| | - Antoni Rucinski
- Institute of Nuclear Physics Polish Academy of Sciences, Krakow, Poland
| | - Carla Winterhalter
- Center for Proton Therapy, PSI, Switzerland
- Department of Physics, ETH Zurich, Switzerland
| | - Lydia Maigne
- Université Clermont Auvergne, Laboratoire de Physique de Clermont, CNRS, UMR 6533, F-63178 Aubière, France
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Pfuhl T, Friedrich T, Scholz M. A double-strand-break model for the relative biological effectiveness of electrons based on ionization clustering. Med Phys 2022; 49:5562-5575. [PMID: 35686448 DOI: 10.1002/mp.15796] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/01/2022] [Revised: 05/31/2022] [Accepted: 06/01/2022] [Indexed: 11/09/2022] Open
Abstract
BACKGROUND The effectiveness of ionizing radiation regarding DNA damage induction depends on its spatial energy deposition pattern. For electrons an increased effectiveness is observed at low kinetic energies due to the enhanced density of energy deposition events at electron track ends. PURPOSE A model is presented, which enables the calculation of the double-strand-break (DSB) yield and the relative biological effectiveness (RBE) for DSB induction of electrons. METHODS The model applies the mean free path between two ionizations and the assumption that two ionizations within a certain threshold distance are necessary to potentially lead to a DSB. Next to an expression for the electron RBE according to its common definition, a local RBE is determined, which describes the electrons' local effectiveness at a defined point on their track. RESULTS This local RBE allows a better understanding of microscopic processes resulting from radiation and can be used, for instance, to describe the mean effectiveness of the mixed electron radiation field as a function of the radial distance to the center of an ion track. CONCLUSIONS The presented model reflects the experimentally observed increased effectiveness of low-energetic electrons. It will be used in a future work to improve RBE predictions for ions performed with the local effect model.
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Affiliation(s)
- Tabea Pfuhl
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - Thomas Friedrich
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - Michael Scholz
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
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Review of the Geant4-DNA Simulation Toolkit for Radiobiological Applications at the Cellular and DNA Level. Cancers (Basel) 2021; 14:cancers14010035. [PMID: 35008196 PMCID: PMC8749997 DOI: 10.3390/cancers14010035] [Citation(s) in RCA: 37] [Impact Index Per Article: 12.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/10/2021] [Revised: 12/13/2021] [Accepted: 12/14/2021] [Indexed: 11/17/2022] Open
Abstract
Simple Summary A brief description of the methodologies to simulate ionizing radiation transport in biologically relevant matter is presented. Emphasis is given to the physical, chemical, and biological models of Geant4-DNA that enable mechanistic radiobiological modeling at the cellular and DNA level, important to improve the efficacy of existing and novel radiotherapeutic modalities for the treatment of cancer. Abstract The Geant4-DNA low energy extension of the Geant4 Monte Carlo (MC) toolkit is a continuously evolving MC simulation code permitting mechanistic studies of cellular radiobiological effects. Geant4-DNA considers the physical, chemical, and biological stages of the action of ionizing radiation (in the form of x- and γ-ray photons, electrons and β±-rays, hadrons, α-particles, and a set of heavier ions) in living cells towards a variety of applications ranging from predicting radiotherapy outcomes to radiation protection both on earth and in space. In this work, we provide a brief, yet concise, overview of the progress that has been achieved so far concerning the different physical, physicochemical, chemical, and biological models implemented into Geant4-DNA, highlighting the latest developments. Specifically, the “dnadamage1” and “molecularDNA” applications which enable, for the first time within an open-source platform, quantitative predictions of early DNA damage in terms of single-strand-breaks (SSBs), double-strand-breaks (DSBs), and more complex clustered lesions for different DNA structures ranging from the nucleotide level to the entire genome. These developments are critically presented and discussed along with key benchmarking results. The Geant4-DNA toolkit, through its different set of models and functionalities, offers unique capabilities for elucidating the problem of radiation quality or the relative biological effectiveness (RBE) of different ionizing radiations which underlines nearly the whole spectrum of radiotherapeutic modalities, from external high-energy hadron beams to internal low-energy gamma and beta emitters that are used in brachytherapy sources and radiopharmaceuticals, respectively.
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Lindborg L, Lillhök J, Kyriakou I, Emfietzoglou D. Dose-mean lineal energy values for electrons by different Monte Carlo codes: Consequences for estimates of radiation quality in photon beams. Med Phys 2021; 49:1286-1296. [PMID: 34905630 DOI: 10.1002/mp.15412] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/12/2021] [Revised: 12/03/2021] [Accepted: 12/06/2021] [Indexed: 12/15/2022] Open
Abstract
BACKGROUND The microdosimetric quantity lineal energy and its mean values have proven useful for quantifying radiation quality in many situations. The ratio of dose-mean lineal energies is perhaps the simplest quantity for quantifying differences between two radiation qualities. However, published dose-mean lineal energy values from different codes may differ significantly with potential influence on radiation quality estimates. PURPOSE The purpose was to compare dose-mean lineal energy values from different track-structure data sets for condensed water vapor and liquid water, and to evaluate the influence on radiation quality estimations for some photon sources. METHODS Published dose-mean lineal energy values for 0.1 keV to 1 MeV electrons in spheres with diameters 2 nm to 1 μm, calculated with water vapor and liquid water track structure codes and proximity functions, were collected, analyzed, and compared. Data for cylinders were converted to spheres using a theoretical transformation published by Kellerer. A new set of dose-mean lineal energy values was calculated to cover the whole range of volumes of interest here using the GEANT4-DNA code. The influence from the differences between codes on radiation quality calculations was estimated using dose-mean lineal energy ratios for the photon sources 125 I, 169 Yb, and 192 Ir relative to 60 Co. RESULTS The theoretical relation for converting the dose-mean lineal energy between different geometrical volumes, results in differences up to 10% between cylinders and spheres depending on electron energy and target size, in agreement with published simulated results. For spheres with diameter above 100 nm, dose-mean lineal energy values for condensed water vapor and liquid water are with few exceptions within ±10%. Below 100 nm, the difference increases with decreasing diameter reaching a factor of two at 2 nm. The values from water vapor codes are in general larger than from liquid water codes. If the dose-mean lineal energy ratio is based on condensed water vapor instead of liquid water, the ratio differs less than 9% for the nuclides 125 I, 169 Yb, and 192 Ir relative to 60 Co independent of the volume simulated. However, a specific value of the dose-mean lineal energy ratio, is found at a larger target diameter in liquid water than in condensed water vapor. CONCLUSIONS When ratios of the dose-mean lineal energy are used as a measure of the radiation quality it is important to compare values for geometrically equal target shapes. A practical method of converting values for cylinders of equal diameter and height to spheres was demonstrated. Although dose-mean lineal energy values calculated with water vapor and liquid water codes may differ significantly, the radiation quality, in terms of ratios of dose-mean lineal energy, for the three photon sources 192 Ir, 169 Yb, and 125 I relative to 60 Co, agree within 9%. The same ratio appears at a larger diameter when a liquid water code is used. It is therefore important to use the same code in radiation quality investigations. The present findings may be of special interest in studies related to the relative biological effectiveness (RBE).
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Affiliation(s)
| | - Jan Lillhök
- Swedish Radiation Safety Authority, Stockholm, Sweden
| | - Ioanna Kyriakou
- Medical Physics Laboratory, University of Ioannina Medical School, Ioannina, Greece
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Sakata D, Suzuki M, Hirayama R, Abe Y, Muramatsu M, Sato S, Belov O, Kyriakou I, Emfietzoglou D, Guatelli S, Incerti S, Inaniwa T. Performance Evaluation for Repair of HSGc-C5 Carcinoma Cell Using Geant4-DNA. Cancers (Basel) 2021; 13:6046. [PMID: 34885155 PMCID: PMC8656964 DOI: 10.3390/cancers13236046] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/06/2021] [Revised: 08/30/2021] [Accepted: 09/07/2021] [Indexed: 12/27/2022] Open
Abstract
Track-structure Monte Carlo simulations are useful tools to evaluate initial DNA damage induced by irradiation. In the previous study, we have developed a Gean4-DNA-based application to estimate the cell surviving fraction of V79 cells after irradiation, bridging the gap between the initial DNA damage and the DNA rejoining kinetics by means of the two-lesion kinetics (TLK) model. However, since the DNA repair performance depends on cell line, the same model parameters cannot be used for different cell lines. Thus, we extended the Geant4-DNA application with a TLK model for the evaluation of DNA damage repair performance in HSGc-C5 carcinoma cells which are typically used for evaluating proton/carbon radiation treatment effects. For this evaluation, we also performed experimental measurements for cell surviving fractions and DNA rejoining kinetics of the HSGc-C5 cells irradiated by 70 MeV protons at the cyclotron facility at the National Institutes for Quantum and Radiological Science and Technology (QST). Concerning fast- and slow-DNA rejoining, the TLK model parameters were adequately optimized with the simulated initial DNA damage. The optimized DNA rejoining speeds were reasonably agreed with the experimental DNA rejoining speeds. Using the optimized TLK model, the Geant4-DNA simulation is now able to predict cell survival and DNA-rejoining kinetics for HSGc-C5 cells.
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Affiliation(s)
- Dousatsu Sakata
- Department of Accelerator and Medical Physics, Institute for Quantum Medical Science, QST, Chiba 263-8555, Japan; (Y.A.); (M.M.); (S.S.); (T.I.)
| | - Masao Suzuki
- Department of Charged Particle Therapy Research, Institute for Quantum Medical Science, QST, Chiba 263-8555, Japan; (M.S.); (R.H.)
| | - Ryoichi Hirayama
- Department of Charged Particle Therapy Research, Institute for Quantum Medical Science, QST, Chiba 263-8555, Japan; (M.S.); (R.H.)
| | - Yasushi Abe
- Department of Accelerator and Medical Physics, Institute for Quantum Medical Science, QST, Chiba 263-8555, Japan; (Y.A.); (M.M.); (S.S.); (T.I.)
| | - Masayuki Muramatsu
- Department of Accelerator and Medical Physics, Institute for Quantum Medical Science, QST, Chiba 263-8555, Japan; (Y.A.); (M.M.); (S.S.); (T.I.)
| | - Shinji Sato
- Department of Accelerator and Medical Physics, Institute for Quantum Medical Science, QST, Chiba 263-8555, Japan; (Y.A.); (M.M.); (S.S.); (T.I.)
| | - Oleg Belov
- Veksler and Baldin Laboratory of High Energy Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia;
- Institute of System Analysis and Management, Dubna State University, 141980 Dubna, Russia
| | - Ioanna Kyriakou
- Medical Physics Laboratory, Medical School, University of Ioannina, 45110 Ioannina, Greece; (I.K.); (D.E.)
| | - Dimitris Emfietzoglou
- Medical Physics Laboratory, Medical School, University of Ioannina, 45110 Ioannina, Greece; (I.K.); (D.E.)
| | - Susanna Guatelli
- Centre For Medical Radiation Physics, University of Wollongong, Wollongong 2522, Australia;
| | - Sebastien Incerti
- Centre d’Études Nucléaires de Bordeaux Gradignan, CNRS/IN2P3, UMR5797, Université de Bordeaux, F-33170 Gradignan, France;
| | - Taku Inaniwa
- Department of Accelerator and Medical Physics, Institute for Quantum Medical Science, QST, Chiba 263-8555, Japan; (Y.A.); (M.M.); (S.S.); (T.I.)
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