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Mathematical Analysis of Complex Cellular Activity / by Richard Bertram, Joel Tabak, Wondimu Teka, Theodore Vo, Martin Wechselberger, Vivien Kirk, James Sneyd.
Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online
View online- Format:
- Book
- Author/Creator:
- Bertram, R. (Richard), Author.
- Tabak, Joel., Author.
- Teka, Wondimu Woubante, 1973- Author.
- Vo, Theodore., Author.
- Wechselberger, Martin., Author.
- Kirk, Vivien, Author.
- Sneyd, James, Author.
- Series:
- Frontiers in Applied Dynamical Systems: Reviews and Tutorials, 2364-4532 ; 1
- Language:
- English
- Subjects (All):
- Dynamics.
- Ergodic theory.
- Statistical physics.
- Biomathematics.
- Dynamical Systems and Ergodic Theory.
- Applications of Nonlinear Dynamics and Chaos Theory.
- Physiological, Cellular and Medical Topics.
- Local Subjects:
- Dynamical Systems and Ergodic Theory.
- Applications of Nonlinear Dynamics and Chaos Theory.
- Physiological, Cellular and Medical Topics.
- Physical Description:
- 1 online resource (120 p.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- Preface
- Bursting Oscillations in Pituitary Cells: Z-Curves, Folded Nodes, Calcium Stores and Mixed-Mode Oscillations
- The Nonlinear Dynamics of Calcium.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- ISBN:
- 3-319-18114-9
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