The heat shock response (HSR) is a highly evolutionarily conserved defence mechanism allowing the cell to promptly react to elevated temperature conditions and other forms of stress. It has been subject to intense research for at least two main reasons. First, it is considered a promising candidate for deciphering the engineering principles underlying regulatory networks.Second, heat shock proteins (main actors of the HSR) play crucial role in many fundamental cellular processes. Therefore, profound understanding of the heat shock response would have far-reaching ramifications for the cell biology.Recently, a new deterministic model of the eukaryotic heat shock response has been proposed in the literature. It is very attractive since it consists of only the minimum number of components required by any functional regulatory network, while yet being capable of biological validation. However, * Corresponding author: A. Mizera, e-mail: amizera@ippt.gov.pl, amizera@abo.fi, tel. +48 22 8261281(414)Email addresses: amizera@ippt.gov.pl, amizera@abo.fi (Andrzej Mizera), bgambin@ippt.gov.pl (Barbara Gambin)
Preprint submitted to Journal of Theoretical BiologyApril 27, 2010 A c c e p t e d m a n u s c r i p t it admits small molecule populations of some of the considered metabolites.In this paper a stochastic model corresponding to the deterministic one is constructed and the outcomes of these two models are confronted. The aim with this comparison is two show that, in the case of the heat shock response, the approximation of a discrete system with a continuous model is a reasonable approach. This is not always the truth, especially when the numbers of