Systems techniques are integral to current research in molecular cell biology, andsystem-level investigations are often accompanied by mathematical models. These models serve asworking hypotheses: they help us to understand and predict the behavior of complex systems. Thisbook offers an introduction to mathematical concepts and techniques needed for the construction andinterpretation of models in molecular systems biology. It is accessible to upper-level undergraduateor graduate students in life science or engineering who have some familiarity with calculus, andwill be a useful reference for researchers at all levels.
The first four chapterscover the basics of mathematical modeling in molecular systems biology. The last four chaptersaddress specific biological domains, treating modeling of metabolic networks, of signal transductionpathways, of gene regulatory networks, and of electrophysiology and neuronal action potentials.Chapters 3--8 end with optional sections that address more specialized modeling topics. Exercises,solvable with pen-and-paper calculations, appear throughout the text to encourage interaction withthe mathematical techniques. More involved end-of-chapter problem sets require computationalsoftware. Appendixes provide a review of basic concepts of molecular biology, additionalmathematical background material, and tutorials for two computational software packages (XPPAUT andMATLAB) that can be used for model simulation and analysis.
Brian P. Ingalls is Associate Professor in the Departments of Applied Mathematics, Biology, and Chemical Engineering at the University of Waterloo, Canada. He is the coeditor of Control Theory and Systems Biology (MIT Press, 2010).
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