Generalized stochastic microdosimetric model: The main formulation
Autor: | F. Cordoni, Andrea Attili, E. Scifoni, C. La Tessa, M. Missiaggia, Scott M. Welford |
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Rok vydání: | 2021 |
Předmět: |
Physics
Stochastic Processes Stochastic modelling Quantitative Biology::Tissues and Organs Physics::Medical Physics Monte Carlo method Time evolution FOS: Physical sciences Probability density function Probability and statistics Models Theoretical 01 natural sciences Article 010305 fluids & plasmas Biological Physics (physics.bio-ph) Physics - Data Analysis Statistics and Probability 0103 physical sciences Master equation Probability distribution Physics - Biological Physics Statistical physics Radiometry 010306 general physics Data Analysis Statistics and Probability (physics.data-an) Energy (signal processing) |
Zdroj: | Phys Rev E |
ISSN: | 2470-0053 2470-0045 |
Popis: | The present work introduces a rigorous stochastic model, called the generalized stochastic microdosimetric model (GSM^{2}), 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 GSM^{2}. Development of GSM^{2} 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. |
Databáze: | OpenAIRE |
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