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Introduction to Modeling Biological Cellular Control Systems [electronic resource] / by Weijiu Liu.

By: Liu, Weijiu [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: MS&A: Publisher: Milano : Springer Milan, 2012Description: X, 290p. 61 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9788847024908.Subject(s): Mathematics | Chemistry -- Mathematics | Biological models | Cytology | Differential Equations | Systems theory | Mathematics | Mathematical and Computational Biology | Systems Biology | Math. Applications in Chemistry | Systems Theory, Control | Ordinary Differential Equations | Cell BiologyDDC classification: 570.285 Online resources: Click here to access online
Contents:
Enzyme Kinetics -- Preliminary Systems Theory -- Control of Blood Glucose -- Control of Calcium in Yeast Cells -- Kinetics of Ion Pumps and Channels -- Store-Operated Calcium Entry -- Control of Mitochondrial Calcium -- Control of Phosphoinositide Synthesis -- PreliminaryMATLAB.
In: Springer eBooksSummary: 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.
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Enzyme Kinetics -- Preliminary Systems Theory -- Control of Blood Glucose -- Control of Calcium in Yeast Cells -- Kinetics of Ion Pumps and Channels -- Store-Operated Calcium Entry -- Control of Mitochondrial Calcium -- Control of Phosphoinositide Synthesis -- PreliminaryMATLAB.

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.

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