Descript 
1 online resource (xii, 107 pages) : illustrations, digital ; 24 cm 

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online resource cr rdacarrier 

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Series 
Frontiers in applied dynamical systems, 23644532 ; volume 1


Frontiers in applied dynamical systems ; volume 1

Note 
Preface  Bursting Oscillations in Pituitary Cells: ZCurves, Folded Nodes, Calcium Stores and MixedMode 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 spatiotemporal 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


Mathematics


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)

