On Uniqueness of a Cycle in One Circular Gene Network Model
SIBERIAN MATHEMATICAL JOURNAL(2022)
摘要
We obtain conditions for uniqueness of a cycle in the phase portrait of a piecewise linear dynamical system of the Elowitz–Leibler type which simulates the functioning of a simplest circular gene network. We describe the behavior of trajectories of this system in the invariant toric neighborhood of the cycle.
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关键词
circular gene network,positive and negative feedbacks,block-linear dynamical system,invariant domain,Poincaré map,fixed point,cycle
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