关于grn型系统的备注

4open Pub Date : 2020-01-01 DOI:10.1051/fopen/2020009

Eduard Brokan, F. Sadyrbaev

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引用次数: 5

摘要

考虑了基因调控网络理论中出现的常微分方程组。我们关注解的渐近行为。在二维和三维系统中，既有稳定的临界点，也有吸引人的周期解。我们没有考虑多个参数(二维系统中有10个参数)，而是关注空线的典型行为。对可能的吸引子进行了总结。

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Remarks on GRN-type systems

Systems of ordinary differential equations that appear in gene regulatory networks theory are considered. We are focused on asymptotical behavior of solutions. There are stable critical points as well as attractive periodic solutions in two-dimensional and three-dimensional systems. Instead of considering multiple parameters (10 in a two-dimensional system) we focus on typical behaviors of nullclines. Conclusions about possible attractors are made.

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4open

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