Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics

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Springer, Jun 27, 2014 - Mathematics - 126 pages

This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry and biochemistry together in an introductory but formal and comprehensive manner. Coupled with examples, the theories are developed stepwise, starting with the simplest concepts and building upon them into a more general framework. Furthermore, each new mathematical derivation is immediately applied to one or more biological systems. The last chapters focus on applying mathematical and physical techniques to study systems such as: gene regulatory networks and molecular motors.

The target audience of this book are mainly final year undergraduate and graduate students with a solid mathematical background (physicists, mathematicians and engineers), as well as with basic notions of biochemistry and cellular biology. This book can also be useful to students with a biological background who are interested in mathematical modeling and have a working knowledge of calculus, differential equations and a basic understanding of probability theory.

 

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Contents

1 Brief Introduction to Chemical Kinetics
1
2 Brief Introduction to Thermodynamics
7
3 Different Approaches to Analyzing a Simple Chemical Reaction
15
4 Molecule Synthesis and Degradation
29
5 Enzymatic Reactions
50
6 ReceptorLigand Interaction
61
7 Cooperativity
77
8 Gene Expression and Regulation
91
9 Ion Channel Dynamics and Ion Transport Across Membranes
107
References
123
Index
125
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About the author (2014)

Moises Santillan is a Mendeley member in Biological Sciences and Professor at Centro de Investigación y de Estudios Avanzados in Apodaca, Mexico. He has a BSc, MSc and PhD in physics, although most of his research has been advocated to tackling biological problems with tools from physics and mathematics. Professor Santillan has published more than 50 research journal papers and book chapters and belongs to four editorial boards.

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