Stochastic Gene Expression in Switching Environments

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Article

Reference

Stochastic Gene Expression in Switching Environments

GANDER, Martin Jakob, MAZZA, Christian, RUMMLER, Hansklaus

Abstract

Organisms are known to adapt to regularly varying environments. However, in most cases, the fluctuations of the environment are irregular and stochastic, alternating between favorable and unfavorable regimes, so that cells must cope with an uncertain future. A possible response is population diversification. We assume here that the cell population is divided into two groups, corresponding to two phenotypes, having distinct growth rates, and that cells can switch randomly their phenotypes. In static environments, the net growth rate is maximized when the population is homogeneously composed of cells having the largest growth rate. In random environments, growth rates fluctuate and observations reveal that sometimes heterogeneous populations have a larger net growth rate than homogeneous ones, a fact illustrated recently through Monte-Carlo simulations based on a birth and migration process in a random environment. We study this process mathematically by focusing on the proportion

GANDER, Martin Jakob, MAZZA, Christian, RUMMLER, Hansklaus. Stochastic Gene

Expression in Switching Environments. Journal of Mathematical Biology , 2007, vol. 55, no. 2, p. 249-269

Available at:

http://archive-ouverte.unige.ch/unige:6274

Disclaimer: layout of this document may differ from the published version.

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