Analysis and Control of Polynomial Dynamic Models with Biological Applications

Szederkenyi, Gabor/ Magyar, Attila/ Hangos, Katalin M.

Academic Press Inc（2018/03発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 184 p.
• 言語 ENG
• 商品コード 9780128154953

Full Description

Analysis and Control of Polynomial Dynamic Models with Biological Applications synthesizes three mathematical background areas (graphs, matrices and optimization) to solve problems in the biological sciences (in particular, dynamic analysis and controller design of QP and polynomial systems arising from predator-prey and biochemical models). The book puts a significant emphasis on applications, focusing on quasi-polynomial (QP, or generalized Lotka-Volterra) and kinetic systems (also called biochemical reaction networks or simply CRNs) since they are universal descriptors for smooth nonlinear systems and can represent all important dynamical phenomena that are present in biological (and also in general) dynamical systems.

Contents

1. Introduction
2. Basic Notions
3. Model Transformations and Equivalence Classes
4. Model analysis
5. Stabilizing feedback control design
6. Case studies

Appendix
A. Notations and abbreviations
B. Mathematical tools