Uniqueness of steady states for a certain chemical reaction

Details Uniqueness of steady states for a certain chemical reaction Uniqueness of steady states for a certain chemical reaction

2005-12-28

arxiv.org/abs/q-bio/0512046v1

Biology

Quantitative Biology

Molecular Networks

Scientific paper

Samoilov, Plyasunov, and Arkin provide an example of a chemical reaction
whose full stochastic (Master Equation) model exhibits bistable behavior, but
for which the deterministic (mean field) version has a unique steady state at
least for special parameter values. In this short note, we provide a proof of
uniqueness valid for all possible parameter values.

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