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New & Forthcoming Titles | Introduction to Modeling Biological Cellular Control Systems

Introduction to Modeling Biological Cellular Control Systems

Series: MS&A, Vol. 6

Liu, Weijiu

2012, XII, 272 p.

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  • 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
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.

Content Level » Upper undergraduate

Keywords » Biochemical processes - Calcium dynamics - Enzyme kinetics - Feedback control - Mathematical modeling

Related subjects » Applications - Cell Biology - Chemistry - Dynamical Systems & Differential Equations

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