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The stochastic model and metastability of the gene network. (English) Zbl 1268.92053
Feng, Jiafeng (ed.) et al., Networks: from biology to theory. Selected papers based on the presentations at the conference, Sino-German Centre, Beijing, China. London: Springer (ISBN 978-1-84628-485-4/hbk). 271-290 (2007).
Summary: There are large numbers of molecules, including proteins, DNA, RNA and so on, with complicated motions in the living cells. The interactions between them constitute molecular networks that carry out various cellular functions. These molecular networks should be dynamically stable against various fluctuations that are inevitable in the living world. For such large complex systems, what is the mechanism to regulate them functioning reliably and stably? Many works have contributed to this problem, from the dynamic point of view or the probabilistic point of view. In this chapter, we address this issue from the metastability point of view of a dynamic system perturbed by noises.
MSC:
92C42Systems biology, networks
92C40Biochemistry, molecular biology
92C37Cell biology
37N25Dynamical systems in biology