Remarks on the Mathematical Modeling of Gene and Neuronal Networks by Ordinary Differential Equations

被引：1

作者：

Ogorelova, Diana ^{[1
]}

Sadyrbaev, Felix ^{[1
,2
]}

机构：

[1] Daugavpils Univ, Fac Nat Sci & Math, Vienibas St 13, LV-5401 Daugavpils, Latvia

[2] Univ Latvia, Inst Math & Comp Sci, Rainis Blvd 29, LV-1459 Riga, Latvia

来源：

AXIOMS | 2024年 / 13卷 / 01期

关键词：

neuronal networks; dynamical systems; artificial networks; critical points; attractors; DYNAMICAL-SYSTEMS; NEURAL-NETWORKS;

D O I：

10.3390/axioms13010061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the theory of gene networks, the mathematical apparatus that uses dynamical systems is fruitfully used. The same is true for the theory of neural networks. In both cases, the purpose of the simulation is to study the properties of phase space, as well as the types and the properties of attractors. The paper compares both models, notes their similarities and considers a number of illustrative examples. A local analysis is carried out in the vicinity of critical points and the necessary formulas are derived.

引用

页数：16

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