生物过程双变量模型中振荡条件的研究。
Investigation of the conditions for oscillations in two-variable models of biological processes.
作者信息
Mickens R E
机构信息
Department of Physics, Clark Atlanta University, GA 30314.
出版信息
Biosystems. 1990;24(1):31-7. doi: 10.1016/0303-2647(90)90027-x.
PMID:2224068
Abstract
A procedure is presented for the direct determination of possible limit cycles that might occur in two-coupled differential equations that can arise in the modeling of certain biological phenomena. Mathematical expressions are given so that for a particular pair of differential equations the possible limit cycles, their parameters, and stability properties can be calculated by a purely algebraic process. Several examples are used to illustrate the procedure.
摘要
本文提出了一种直接确定在某些生物现象建模中可能出现的双耦合微分方程中可能存在的极限环的方法。给出了数学表达式，以便对于特定的一对微分方程，可以通过纯代数过程计算出可能的极限环、其参数和稳定性特性。使用了几个例子来说明该方法。
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