Chen P L, Sachs R
Department of Mathematics, Southern Illinois University, Carbondale 62901.
J Theor Biol. 1994 Jan 21;166(2):117-26. doi: 10.1006/jtbi.1994.1010.
The induction of DNA double strand breaks by ionizing radiation, and enzymatic double strand break repair or misrepair, are modeled as continuous time Markov chains. Systems of partial differential equations for appropriate probability generating functions are solved by singular perturbation theory with scaling. The zero-th order singular perturbation result coincides with a model recently suggested in a biological literature. Higher order terms correct for various effects including "overkill". The results are applicable to both sparsely ionizing and densely ionizing radiation.
电离辐射诱导DNA双链断裂，以及酶促双链断裂修复或错配修复，被建模为连续时间马尔可夫链。通过具有尺度变换的奇异摄动理论求解适当概率生成函数的偏微分方程组。零阶奇异摄动结果与最近生物学文献中提出的一个模型一致。高阶项校正了包括“过杀伤”在内的各种效应。这些结果适用于低LET辐射和高LET辐射。
