Gabor Szederkenyi, Attila Magyar, Katalin M. Hangos

Analysis and Control of Polynomial Dynamic Models with Biological Applications (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

• 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

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Produktdetails

• Verlag: Elsevier Science & Techn.
• Seitenzahl: 184
• Erscheinungstermin: 30. März 2018
• Englisch
• ISBN-13: 9780128154960
• Artikelnr.: 50521736

Autorenporträt

Gábor Szederkényi received the M.Eng degree in computer engineering (University of Veszprém, 1998), his PhD in information sciences (University of Veszprém, 2002), and the DSc title in engineering sciences (Hungarian Academy of Sciences, 2013). Currently, he is a full professor at PPKE and the head of the Analysis and Control of Dynamical Systems research group. His main research interest is the computational analysis and control of nonlinear systems with special emphasis on reaction networks and kinetic models. He is the co-author of one book, several book chapters, more than 40 journal papers, and more than 60 conference papers on the theory and applicaton of the analysis and control of nonlinear systems. His education record includes BSc and MSc level courses on linear systems theory, nonlinear control and its application in robotics and in biological systems.

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.

Inhaltsangabe

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