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.
Fornalski, Krzysztof Wojciech; Dobrzyn´ski, Ludwik; and Janiak, Marek Krzysztof
"A STOCHASTIC MARKOV MODEL OF CELLULAR RESPONSE TO RADIATION,"
Dose-Response: An International Journal:
4, Article 6.
Available at: http://scholarworks.umass.edu/dose_response/vol9/iss4/6