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  • Book
    Attila Magyar, Gábor Szederkényi, Katalin M. Hangos.
    Summary: 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
    Appendix B. Mathematical tools
    Bibliography
    Index.
    Digital Access ScienceDirect 2018