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Generalized stochastic microdosimetric model: The main formulation
Physical Review E ( IF 2.4 ) Pub Date : 2021-01-19 , DOI: 10.1103/physreve.103.012412
F Cordoni 1 , M Missiaggia 2 , A Attili 3 , S M Welford 4 , E Scifoni 5 , C La Tessa 6
Affiliation  

The present work introduces a rigorous stochastic model, called the generalized stochastic microdosimetric model (GSM2), to describe biological damage induced by ionizing radiation. Starting from the microdosimetric spectra of energy deposition in tissue, we derive a master equation describing the time evolution of the probability density function of lethal and potentially lethal DNA damage induced by a given radiation to a cell nucleus. The resulting probability distribution is not required to satisfy any a priori conditions. After the initial assumption of instantaneous irradiation, we generalized the master equation to consider damage induced by a continuous dose delivery. In addition, spatial features and damage movement inside the nucleus have been taken into account. In doing so, we provide a general mathematical setting to fully describe the spatiotemporal damage formation and evolution in a cell nucleus. Finally, we provide numerical solutions of the master equation exploiting Monte Carlo simulations to validate the accuracy of GSM2. Development of GSM2 can lead to improved modeling of radiation damage to both tumor and normal tissues, and thereby impact treatment regimens for better tumor control and reduced normal tissue toxicities.

中文翻译:

广义随机微剂量模型:主要公式

目前的工作引入了严格的随机模型,称为广义随机微剂量模型(全球移动通信系统2),描述电离辐射引起的生物损伤。从组织中能量沉积的微剂量光谱开始,我们推导出一个主方程,描述由给定辐射对细胞核引起的致死和潜在致死 DNA 损伤的概率密度函数的时间演化。所得概率分布不需要满足任何先验条件。在瞬时照射的初始假设之后,我们推广了主方程来考虑连续剂量输送引起的损伤。此外,还考虑了核内的空间特征和损伤运动。在此过程中,我们提供了一个通用的数学设置来充分描述细胞核中时空损伤的形成和演化。最后,我们利用蒙特卡罗模拟提供主方程的数值解,以验证全球移动通信系统2。发展全球移动通信系统2可以改善肿瘤和正常组织的辐射损伤模型,从而影响更好的肿瘤控制和减少正常组织毒性的治疗方案。
更新日期:2021-01-20
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