Global Dynamics of a Piecewise Smooth System for Brain Lactate Metabolism

被引：0
|
作者：
J.-P. Françoise
Hongjun Ji
Dongmei Xiao
Jiang Yu
机构：
[1] Université P.-M. Curie,Laboratoire Jacques–Louis Lions, UMR 7598 CNRS
[2] Paris 6,School of Mathematical Sciences
[3] Shanghai Jiao Tong University,undefined
来源：
Qualitative Theory of Dynamical Systems | 2019年 / 18卷
关键词：
Piecewise smooth system; Qualitative analysis; Modeling; 34D20; 37N25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we study a piecewise smooth dynamical system inspired by a previous reduced system modeling compartimentalized brain metabolism. The piecewise system allows the introduction of an autoregulation induced by a feedback of the extracellular or capillary Lactate concentrations on the Capillary Blood Flow. New dynamical phenomena are uncovered and we discuss existence and nature of two equilibrium points, attractive segment, boundary equilibrium and periodic orbits depending of the Capillary Blood Flow.
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页码：315 / 332
页数：17
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