On the Emergence of the Deviation from a Poisson Law in Stochastic Mathematical Models for Radiation-Induced DNA Damage: A System Size Expansion
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 der...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/9/1322 |
| _version_ | 1797580171696406528 |
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| author | Francesco Giuseppe Cordoni |
| author_facet | Francesco Giuseppe Cordoni |
| author_sort | Francesco Giuseppe Cordoni |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T22:47:32Z |
| format | Article |
| id | doaj.art-afaeb643c6d64e14bdd29cd6e0473cb9 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T22:47:32Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-afaeb643c6d64e14bdd29cd6e0473cb92023-11-19T10:35:59ZengMDPI AGEntropy1099-43002023-09-01259132210.3390/e25091322On the Emergence of the Deviation from a Poisson Law in Stochastic Mathematical Models for Radiation-Induced DNA Damage: A System Size ExpansionFrancesco Giuseppe Cordoni0Department of Civil, Environmental and Mechanical Engineering, University of Trento, 38123 Trento, ItalyIn 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.https://www.mdpi.com/1099-4300/25/9/1322biophysical modelingradiation-induced DNA damagesystem size expansionDNA damage repair |
| spellingShingle | Francesco Giuseppe Cordoni On the Emergence of the Deviation from a Poisson Law in Stochastic Mathematical Models for Radiation-Induced DNA Damage: A System Size Expansion Entropy biophysical modeling radiation-induced DNA damage system size expansion DNA damage repair |
| title | On the Emergence of the Deviation from a Poisson Law in Stochastic Mathematical Models for Radiation-Induced DNA Damage: A System Size Expansion |
| title_full | On the Emergence of the Deviation from a Poisson Law in Stochastic Mathematical Models for Radiation-Induced DNA Damage: A System Size Expansion |
| title_fullStr | On the Emergence of the Deviation from a Poisson Law in Stochastic Mathematical Models for Radiation-Induced DNA Damage: A System Size Expansion |
| title_full_unstemmed | On the Emergence of the Deviation from a Poisson Law in Stochastic Mathematical Models for Radiation-Induced DNA Damage: A System Size Expansion |
| title_short | On the Emergence of the Deviation from a Poisson Law in Stochastic Mathematical Models for Radiation-Induced DNA Damage: A System Size Expansion |
| title_sort | on the emergence of the deviation from a poisson law in stochastic mathematical models for radiation induced dna damage a system size expansion |
| topic | biophysical modeling radiation-induced DNA damage system size expansion DNA damage repair |
| url | https://www.mdpi.com/1099-4300/25/9/1322 |
| work_keys_str_mv | AT francescogiuseppecordoni ontheemergenceofthedeviationfromapoissonlawinstochasticmathematicalmodelsforradiationinduceddnadamageasystemsizeexpansion |