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A simple model of gene regulation in response to stochastically changing environmental conditions is developed and analyzed.
The model consists of a differential equation driven by a continuous time 2-state Markov process. The density function of
the resulting process converges to a beta distribution. We show that the moments converge to their stationary values exponentially
in time. Simulations of a two-stage process where protein production depends on mRNA concentrations are also presented demonstrating
that protein concentration tracks the environment whenever the rate of protein turnover is larger than the rate of environmental
change. Single-celled organisms are therefore expected to have relatively high mRNA and protein turnover rates for genes that
respond to environmental fluctuations. 相似文献
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Early transcriptional response pathways in Daphnia magna are coordinated in networks of crustacean‐specific genes
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Luisa Orsini James B. Brown Omid Shams Solari Dong Li Shan He Ram Podicheti Marcus H. Stoiber Katina I. Spanier Donald Gilbert Mieke Jansen Douglas B. Rusch Michael E. Pfrender John K. Colbourne Mikko J. Frilander Jouni Kvist Ellen Decaestecker Karel A. C. De Schamphelaere Luc De Meester 《Molecular ecology》2018,27(4):886-897
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