Evolution of DNA damage in irradiated cells
type: Item
instance of: scholarly article
title: Evolution of DNA damage in irradiated cells
zbMATH Open document ID: 0757.92012
DOI: 10.1007/BF00160533
published in: Journal of Mathematical Biology
publication date: 1992-09-27T00:00:00Z
review text: The paper presents a general class of continuous time Markov chain models, combining analytic and numerical methods, to describe the behaviour of DNA damage in irradiated cells. After the formalism of general Markov chains and of mathematical models, and after some examples presented in Sections 1 and 2, Section 3 is devoted to the post- irradiation period. For the post-irradiation behaviour, using the discrete time Markov chain embedded at transitions gives the ultimate distribution of damage more simply than does integrating the Kolmogorov forward equations. In a representative special case, explicit expressions for the probability distribution of damage at large times are given in the form used for numerical computations and comparisons with experiments on human lymphocytes. A principle of branching ratios, that late assays can only measure appropriate ratios of repair and interaction functions, not the functions themselves, is derived and discussed. Section 4 contains some discussions, and Section 5 other post-irradiation models. The results given in the present paper indicate that continuous time Markov chains provide a powerful and flexible approach to studying the time evolution of DNA damage caused by ionizing radiation. The results proved in this study have been applied in detail to experimental observations with some, though limited, success.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 92C40
Mathematics Subject Classification ID: 60J27
zbMATH DE Number: 62364
zbMATH Keywords: radiation cell survival
zbMATH Keywords: chromosome aberrations
zbMATH Keywords: chemical kinetics master equation
zbMATH Keywords: irradiated cells
zbMATH Keywords: post-irradiation period
zbMATH Keywords: discrete time Markov chain
zbMATH Keywords: human lymphocytes
zbMATH Keywords: branching ratios
zbMATH Keywords: time evolution of DNA damage
zbMATH Keywords: ionizing radiation
Wikidata QID: Q45284942
author: Philip Hahnfeldt
author: Lynn Hlatky
author: R. K. Sachs
MaRDI profile type: Publication
cites work: Q5369182
cites work: Q3994575
cites work: Stochastic approach to chemical kinetics
cites work: DNA damage in non-proliferating cells subjected to ionizing irradiation at high or low dose rates
cites work: Q3998392
description: scientific article; zbMATH DE number 62364