Introduction to Modeling Biological Cellular Control Systems
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Beschreibung
This textbook contains the essential knowledge in modeling, simulation, analysis, and applications in dealing with biological cellular control systems. In particular, the book shows how to use the law of mass balance and the law of mass action to derive an enzyme kinetic model - the Michaelis-Menten function or the Hill function, how to use a current-voltage relation, Nernst potential equilibrium equation, and Hodgkin and Huxley's models to model an ionic channel or pump, and how to use the law of mass balance to integrate these enzyme or channel models into a complete feedback control system. The book also illustrates how to use data to estimate parameters in a model, how to use MATLAB to solve a model numerically, how to do computer simulations, and how to provide model predictions. Furthermore, the book demonstrates how to conduct a stability and sensitivity analysis on a model.
This textbook contains the essential knowledge in modeling, simulation, analysis, and applications in dealing with biological cellular control systems. In particular, the book shows how to use the law of mass balance and the law of mass action to derive an enzyme kinetic model - the Michaelis-Menten function or the Hill function, how to use a current-voltage relation, Nernst potential equilibrium equation, and Hodgkin and Huxley's models to model an ionic channel or pump, and how to use the law of mass balance to integrate these enzyme or channel models into a complete feedback control system. The book also illustrates how to use data to estimate parameters in a model, how to use MATLAB to solve a model numerically, how to do computer simulations, and how to provide model predictions. Furthermore, the book demonstrates how to conduct a stability and sensitivity analysis on a model.
This book contains a description of the most commonly used ODE models used in the study of biochemical processes The main chemical laws used are well explained The contents of Chapters two and three are written in a good readable way, and probably is not easy to find all of them in a single volume Chapter six containing the most classical models of ions pumps and channels is of interest for a wide audience Includes supplementary material: sn.pub/extras
Autor*in
Weijiu Liu
Themen in »Introduction to Modeling Biological Cellular Control Systems«
Biochemical processes Calcium dynamics Enzyme kinetics Feedback control Mathematical modeling Systems Biology ordinary differential equations
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From the reviews:
“This book addresses the modeling, simulation, analysis and control of biochemical processes of systems arising in cellular biology. … The book is very well written in an-easy way to grasp the essential elements of the various topics. Further, the book provides the necessary introductory material on control systems and MATLAB useful for those with background in cellular biology only. This book is a welcome addition to this growing interdisciplinary field … .” (D. Subbaram Naidu, Amazon.com, November, 2013)
“The book under review compiles and presents essential knowledge in modeling, analysis, simulation and parameter estimation of biological cellular control systems. … Although interested mathematicians and biologists are the targeted audience, the best background that one needs to be able to follow the book easily is probably (bio)chemical or process engineering. … the book is quite self-contained and highly recommended as course material in the field ofmodeling and control of cellular mechanisms.” (Gábor Szederkényi, Mathematical Reviews, May, 2013)()