A Stochastic Markov Model of Cellular Response to Radiation

• DOI: 10.2203/dose-response.11-003.fornalski
• Publication Date: 2011-07-28T01:16:25Z
• Authors: Krzysztof Wojciec...; Ludwik Dobrzynski; Marek Krzysztof J...
• Keywords: 03 medical and health sciences; 0302 clinical medicine; radiation threshold; hormesis; low-level radiation; dose response model; Markov process; Therapeutics. Pharmacology; RM1-950; Monte Carlo

A stochastic model based on the Markov Chain Monte Carlo process is used to describe responses to ionizing radiation in a group of cells. The results show that where multiple relationships linearly depending on the dose are introduced, the overall reaction shows a threshold, and, generally, a non-linear response. Such phenomena have been observed and reported in a number of papers. The present model permits the inclusion of adaptive responses and bystander effects that can lead to hormetic effects. In addition, the model allows for incorporating various time-dependent phenomena. Essentially, all known biological effects can be reproduced using the proposed model.