Extinction and resurrection in gene networks.
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ABSTRACT:
SUBMITTER: Schultz D
PROVIDER: S-EPMC2614733 | biostudies-literature | 2008 Dec
REPOSITORIES: biostudies-literature
Publications
Extinction and resurrection in gene networks.
Schultz Daniel D Walczak Aleksandra M AM Onuchic José N JN Wolynes Peter G PG
Proceedings of the National Academy of Sciences of the United States of America 20081125 49
When gene regulatory networks operate in regimes where the number of protein molecules is so small that the molecular species are on the verge of extinction, the death and resurrection of the species greatly modifies the attractor landscape. Deterministic models and the diffusion approximation to the master equation break down at the limits of protein populations in a way very analogous to the breakdown of geometrical optics that occurs at distances <1 wavelength of light from edges. Stable stoc ...[more]
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