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Analysis and Control of Polynomial Dynamic Models with Biological Applications

Analysis and Control of Polynomial Dynamic Models with Biological Applications
  • Author : Gabor Szederkenyi
  • Publsiher : Academic Press
  • Release : 30 March 2018
  • ISBN : 0128154969
  • Pages : 184 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKAnalysis and Control of Polynomial Dynamic Models with Biological Applications

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. 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


Analysis and Control of Polynomial Dynamic Models with Biological Applications

Analysis and Control of Polynomial Dynamic Models with Biological Applications
  • Author : Gabor Szederkenyi,Attila Magyar,Katalin M. Hangos
  • Publisher : Academic Press
  • Release : 30 March 2018
GET THIS BOOKAnalysis and Control of Polynomial Dynamic Models with Biological Applications

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




Emerging Applications of Algebraic Geometry

Emerging Applications of Algebraic Geometry
  • Author : Mihai Putinar,Seth Sullivant
  • Publisher : Springer Science & Business Media
  • Release : 10 December 2008
GET THIS BOOKEmerging Applications of Algebraic Geometry

Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA year on Applications of Algebraic Geometry. The articles related to optimization and control focus on burgeoning use of







Modeling, Stochastic Control, Optimization, and Applications

Modeling, Stochastic Control, Optimization, and Applications
  • Author : George Yin,Qing Zhang
  • Publisher : Springer
  • Release : 16 July 2019
GET THIS BOOKModeling, Stochastic Control, Optimization, and Applications

This volume collects papers, based on invited talks given at the IMA workshop in Modeling, Stochastic Control, Optimization, and Related Applications, held at the Institute for Mathematics and Its Applications, University of Minnesota, during May and June, 2018. There were four week-long workshops during the conference. They are (1) stochastic control, computation methods, and applications, (2) queueing theory and networked systems, (3) ecological and biological applications, and (4) finance and economics applications. For broader impacts, researchers from different fields covering both theoretically oriented and application



Modelling and Forecasting Financial Data

Modelling and Forecasting Financial Data
  • Author : Abdol S. Soofi,Liangyue Cao
  • Publisher : Springer Science & Business Media
  • Release : 31 March 2002
GET THIS BOOKModelling and Forecasting Financial Data

Over the last decade, dynamical systems theory and related nonlinear methods have had a major impact on the analysis of time series data from complex systems. Recent developments in mathematical methods of state-space reconstruction, time-delay embedding, and surrogate data analysis, coupled with readily accessible and powerful computational facilities used in gathering and processing massive quantities of high-frequency data, have provided theorists and practitioners unparalleled opportunities for exploratory data analysis, modelling, forecasting, and control. Until now, research exploring the application of



Process Control

Process Control
  • Author : Jean-Pierre Corriou
  • Publisher : Springer Science & Business Media
  • Release : 18 March 2004
GET THIS BOOKProcess Control

This reference book can be read at different levels, making it a powerful source of information. It presents most of the aspects of control that can help anyone to have a synthetic view of control theory and possible applications, especially concerning process engineering.