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Author Bertram, Richard, author
Title Mathematical analysis of complex cellular activity / by Richard Bertram, Joel Tabak, Wondimu Teka, Theodore Vo, Martin Wechselberger, Vivien Kirk, James Sneyd
Imprint Cham : Springer International Publishing : Imprint: Springer, 2015
book jacket
Descript 1 online resource (xii, 107 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Series Frontiers in applied dynamical systems, 2364-4532 ; volume 1
Frontiers in applied dynamical systems ; volume 1
Note Preface -- Bursting Oscillations in Pituitary Cells: Z-Curves, Folded Nodes, Calcium Stores and Mixed-Mode Oscillations -- The Nonlinear Dynamics of Calcium
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
Host Item Springer eBooks
Subject Biomathematics
Cell physiology -- Mathematical models
Mathematical analysis -- Cytology
Nonlinear systems
Ergodic theory
Dynamical Systems and Ergodic Theory
Nonlinear Dynamics
Physiological, Cellular and Medical Topics
Alt Author Tabak, Joel, author
Teka, Wondimu, author
Vo, Theodore, author
Wechselberger, Martin, author
Kirk, Vivien, author
Sneyd, James, author
SpringerLink (Online service)
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