Algebraic Approaches to Stability Analysis of Biological Systems |
| |
| Authors: | Wei Niu Dongming Wang |
| |
| Institution: | (1) Laboratoire d’Informatique de Paris 6, Université Pierre et Marie Curie – CNRS, 104, avenue du Président Kennedy, F-75016 Paris, France;(2) LMIB – School of Science, Beihang University, Beijing, 100083, China |
| |
| Abstract: | In this paper, we improve and extend the approach of Wang and Xia for stability analysis of biological systems by making use
of Gr?bner bases, (CAD-based) quantifier elimination, and discriminant varieties, as well as the stability criterion of Liénard
and Chipart, and showing how to analyze the stability of Hopf bifurcation points. The stability and bifurcations for a class
of self-assembling micelle systems with chemical sinks are analyzed in detail. We provide experimental results with comparisons
for 15 biological models taken from the literature.
|
| |
| Keywords: | Primary 34D20 Secondary 68W30 Tertiary 78A70 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
