Academic Journal
On the Emergence of the Deviation from a Poisson Law in Stochastic Mathematical Models for Radiation-Induced DNA Damage: A System Size Expansion
| العنوان: | On the Emergence of the Deviation from a Poisson Law in Stochastic Mathematical Models for Radiation-Induced DNA Damage: A System Size Expansion |
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| المؤلفون: | Francesco Giuseppe Cordoni |
| المصدر: | Entropy, Vol 25, Iss 1322, p 1322 (2023) |
| بيانات النشر: | MDPI AG |
| سنة النشر: | 2023 |
| المجموعة: | Directory of Open Access Journals: DOAJ Articles |
| مصطلحات موضوعية: | biophysical modeling, radiation-induced DNA damage, system size expansion, DNA damage repair, Science, Astrophysics, QB460-466, Physics, QC1-999 |
| الوصف: | In this paper, we study the system size expansion of a stochastic model for radiation-induced DNA damage kinetics and repair. In particular, we characterize both the macroscopic deterministic limit and the fluctuation around it. We further show that such fluctuations are Gaussian-distributed. In deriving such results, we provide further insights into the relationship between stochastic and deterministic mathematical models for radiation-induced DNA damage repair. Specifically, we demonstrate how the governing deterministic equations commonly employed in the field arise naturally within the stochastic framework as a macroscopic limit. Additionally, by examining the fluctuations around this macroscopic limit, we uncover deviations from a Poissonian behavior driven by interactions and clustering among DNA damages. Although such behaviors have been empirically observed, our derived results represent the first rigorous derivation that incorporates these deviations from a Poissonian distribution within a mathematical model, eliminating the need for specific ad hoc corrections. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 1099-4300 |
| Relation: | https://www.mdpi.com/1099-4300/25/9/1322; https://doaj.org/toc/1099-4300; https://doaj.org/article/afaeb643c6d64e14bdd29cd6e0473cb9 |
| DOI: | 10.3390/e25091322 |
| الاتاحة: | https://doi.org/10.3390/e25091322 https://doaj.org/article/afaeb643c6d64e14bdd29cd6e0473cb9 |
| رقم الانضمام: | edsbas.BA788C1A |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 10994300 |
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| DOI: | 10.3390/e25091322 |