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Cordoni FG. A spatial measure-valued model for radiation-induced DNA damage kinetics and repair under protracted irradiation condition. J Math Biol 2024; 88:21. [PMID: 38285219 PMCID: PMC10824812 DOI: 10.1007/s00285-024-02046-3] [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: 04/03/2023] [Revised: 10/01/2023] [Accepted: 12/27/2023] [Indexed: 01/30/2024]
Abstract
In the present work, we develop a general spatial stochastic model to describe the formation and repair of radiation-induced DNA damage. The model is described mathematically as a measure-valued particle-based stochastic system and extends in several directions the model developed in Cordoni et al. (Phys Rev E 103:012412, 2021; Int J Radiat Biol 1-16, 2022a; Radiat Res 197:218-232, 2022b). In this new spatial formulation, radiation-induced DNA damage in the cell nucleus can undergo different pathways to either repair or lead to cell inactivation. The main novelty of the work is to rigorously define a spatial model that considers the pairwise interaction of lesions and continuous protracted irradiation. The former is relevant from a biological point of view as clustered lesions are less likely to be repaired, leading to cell inactivation. The latter instead describes the effects of a continuous radiation field on biological tissue. We prove the existence and uniqueness of a solution to the above stochastic systems, characterizing its probabilistic properties. We further couple the model describing the biological system to a set of reaction-diffusion equations with random discontinuity that model the chemical environment. At last, we study the large system limit of the process. The developed model can be applied to different contexts, with radiotherapy and space radioprotection being the most relevant. Further, the biochemical system derived can play a crucial role in understanding an extremely promising novel radiotherapy treatment modality, named in the community FLASH radiotherapy, whose mechanism is today largely unknown.
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Thibaut Y, Gonon G, Martinez JS, Petit M, Babut R, Vaurijoux A, Gruel G, Villagrasa C, Incerti S, Perrot Y. Experimental validation in a neutron exposure frame of the MINAS TIRITH for cell damage simulation. Phys Med Biol 2023; 68:225008. [PMID: 37848039 DOI: 10.1088/1361-6560/ad043d] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/20/2023] [Accepted: 10/17/2023] [Indexed: 10/19/2023]
Abstract
In the domains of medicine and space exploration, refining risk assessment models for protecting healthy tissue from ionizing radiation is crucial. Understanding radiation-induced effects requires biological experimentations at the cellular population level and the cellular scale modeling using Monte Carlo track structure codes. We present MINAS TIRITH, a tool using Geant4-DNA Monte Carlo-generated databases to study DNA damage distribution at the cell population scale. It introduces a DNA damage location module and proposes a method to convert double-strand breaks (DSB) into DNA Damage Response foci. We evaluate damage location precision and DSB-foci conversion parameters. MINAS TIRITH's accuracy is validated againstγ-H2AX foci distribution from cell population exposed to monoenergetic neutron beams (2.5 or 15.1 MeV) under different configurations, yielding mixed radiation fields. Strong agreement between simulation and experimental results was found demonstrating MINAS TIRITH's predictive precision in radiation-induced DNA damage topology. Additionally, modeling intercellular damage variability within a population subjected to a specific macroscopic dose identifies subpopulations, enhancing realistic fate models. This approach advances our understanding of radiation-induced effects on cellular systems for risk assessment improvement.
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Affiliation(s)
- Y Thibaut
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN), PSE-SANTE/SDOS/LDRI, PSE-SANTE/SERAMED/LRAcc, PSE-SANTE/SDOS/LMDN, BP 17, F-92262 Fontenay-aux-Roses, France
| | - G Gonon
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN), PSE-SANTE/SDOS/LDRI, PSE-SANTE/SERAMED/LRAcc, PSE-SANTE/SDOS/LMDN, BP 17, F-92262 Fontenay-aux-Roses, France
| | - J S Martinez
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN), PSE-SANTE/SDOS/LDRI, PSE-SANTE/SERAMED/LRAcc, PSE-SANTE/SDOS/LMDN, BP 17, F-92262 Fontenay-aux-Roses, France
| | - M Petit
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN), PSE-SANTE/SDOS/LDRI, PSE-SANTE/SERAMED/LRAcc, PSE-SANTE/SDOS/LMDN, BP 17, F-92262 Fontenay-aux-Roses, France
| | - R Babut
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN), PSE-SANTE/SDOS/LDRI, PSE-SANTE/SERAMED/LRAcc, PSE-SANTE/SDOS/LMDN, BP 17, F-92262 Fontenay-aux-Roses, France
| | - A Vaurijoux
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN), PSE-SANTE/SDOS/LDRI, PSE-SANTE/SERAMED/LRAcc, PSE-SANTE/SDOS/LMDN, BP 17, F-92262 Fontenay-aux-Roses, France
| | - G Gruel
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN), PSE-SANTE/SDOS/LDRI, PSE-SANTE/SERAMED/LRAcc, PSE-SANTE/SDOS/LMDN, BP 17, F-92262 Fontenay-aux-Roses, France
| | - C Villagrasa
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN), PSE-SANTE/SDOS/LDRI, PSE-SANTE/SERAMED/LRAcc, PSE-SANTE/SDOS/LMDN, BP 17, F-92262 Fontenay-aux-Roses, France
| | - S Incerti
- Université de Bordeaux, CNRS/IN2P3, LP2i, UMR 5797, F-33170 Gradignan, France
| | - Y Perrot
- Institut de Radioprotection et de Sûreté Nucléaire (IRSN), PSE-SANTE/SDOS/LDRI, PSE-SANTE/SERAMED/LRAcc, PSE-SANTE/SDOS/LMDN, BP 17, F-92262 Fontenay-aux-Roses, France
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