Analysis and Control of Polynomial Dynamic Models with Biological Applications

Attila Magyar, G. Szederkényi, K. Hangos

Research output: Book/ReportBook

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
PublisherElsevier
Number of pages165
ISBN (Electronic)9780128154960
ISBN (Print)9780128154953
DOIs
Publication statusPublished - Mar 21 2018

Fingerprint

Polynomial Model
Dynamic Model
Biochemical Networks
Reaction Network
Lotka-Volterra
Predator-prey
Polynomial Systems
Dynamic Analysis
Controller Design
Descriptors
Nonlinear Systems
Dynamical system
Kinetics
Polynomial
Optimization
Graph in graph theory
Model
Background

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Analysis and Control of Polynomial Dynamic Models with Biological Applications. / Magyar, Attila; Szederkényi, G.; Hangos, K.

Elsevier, 2018. 165 p.

Research output: Book/ReportBook

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