Mathematical Analysis of Complex Cellular Activity

Mathematical Analysis of Complex Cellular Activity

Springer | Physics | November 10. 2015 | ISBN-10: 3319181130 | 107 Pages | pdf | 3.5 MB

by Richard Bertram (Author), Jo?l Tabak (Author), Wondimu Teka (Author), Theodore Vo (Author), Martin Wechselberger (Author), Vivien Kirk (Author), James Sneyd (Author)
First volume in a new series that covers emerging topics in the field of Applied Dynamical Systems
Intended for mathematicians and biologists, as well as advanced graduate students
Uses practical tutorials to example important connections between mathematics and physiology

From the Back Cover
This book contains two review articles on mathematical physiology that deal with closely related topics but were written and can be read independently.

The first article reviews the basic theory of calcium oscillations (common to almost all cell types), including spatio-temporal behaviors such as waves. The second article uses, and expands on, much of this basic theory to show how the interaction of cytosolic calcium oscillators with membrane ion channels can result in highly complex patterns of electrical spiking. Through these examples one can see clearly how multiple oscillatory processes interact within a cell, and how mathematical methods can be used to understand such interactions better. The two reviews provide excellent examples of how mathematics and physiology can learn from each other, and work jointly towards a better understanding of complex cellular processes.

Review 1: Richard Bertram, Joel Tabak, Wondimu Teka, Theodore Vo, Martin Wechselberger: Geometric Singular Perturbation Analysis of Bursting Oscillations in Pituitary Cells

Review 2: Vivien Kirk, James Sneyd: The Nonlinear Dynamics of Calcium

Number of Illustrations and Tables
12 illus., 25 in colour
Dynamical Systems and Ergodic Theory
Nonlinear Dynamics
Physiological, Cellular and Medical Topics


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