Analysis and Control of Polynomial Dynamic Models with Biological Applications
Auteurs : Szederkenyi Gabor, Magyar Attila, Hangos Katalin M.
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.
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
The history of the scientific cooperation of the proposed three authors dates back to 2003. Since then, they have published more than 25 joint scientific papers in international journals and conference proceedings mostly related to the topic of the proposed book. The scientific background of the three authors are really complementary: Prof. Katalin Hangos is an internationally known expert in the modelling and control of thermodynamical and (bio)chemical systems, Dr. Attila Magyar has significant experience in the analysis, application and control of quasi-polynomial systems, while Prof. Gábor Szederkényi has results on the optimization-based structural analysis and synthesis of kinetic systems. Moreover, all three authors have had continuous education and supervising experience both on the MSc and PhD levels at different universities.
Attila Magyar received his MSc in computer science (University of Pannonia, 2004), his PhD in computer science (University of Pannonia, 2008), respectively. He is working at the Department of Electrical Engineering and Information Systems at University of Pannonia H
- Describes and illustrates the relationship between the dynamical, algebraic and structural features of the quasi-polynomial (QP) and kinetic models
- Shows the applicability of kinetic and QP representation in biological modeling and control through examples and case studies
- Emphasizes the importance and applicability of quantitative models in understanding and influencing natural phenomena
Date de parution : 03-2018
Ouvrage de 184 p.
19x23.3 cm
Thème d’Analysis and Control of Polynomial Dynamic Models with... :
Mots-clés :
Kinetic systems; Chemical reaction networks (CRNs); Biochemical reaction networks; Quasipolynomial(QP) systems; Lotka-Volterra models; Positive systems; Polynomial systems; Quasi-polynomial (QP) systems; Kinetic systems; Chemical reaction networks (CRNs); State transformations; Phase transformations; Diagonal transformations; Embedding transformations; Equivalence classes of QP systems; Relationship between QP and CRN models; Stability analysis; Lyapunov function; Computational analysis of the structure; Dense and sparse realizations; Linear conjugacy; Uncertain kinetic models; Feedback control; Robust controller design; Stabilizing control of QP systems; Stabilizing control of nonnegative polynomial systems