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Frontiers in Applied Dynamical Systems: Reviews and Tutorials

Mathematical Analysis of Complex Cellular Activity

Authors: Bertram, R., Tabak, J., Teka, W., Vo, T., Wechselberger, M., Kirk, V., Sneyd, J.

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  • 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
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eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-319-18114-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-319-18113-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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: Nonlinear Dynamics of Calcium

About the authors

Professor Richard Bertram is a Mathematics Professor at Florida State University. His current academic interests include the intersection between biology and mathematics.

Professor James Sneyd is a Professor in Applied Mathematics at The University of Auckland and his current research interests include mathematical physiology and nonlinear dynamical systems.

Table of contents (2 chapters)

Table of contents (2 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-319-18114-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-319-18113-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Analysis of Complex Cellular Activity
Authors
Series Title
Frontiers in Applied Dynamical Systems: Reviews and Tutorials
Series Volume
1
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-18114-1
DOI
10.1007/978-3-319-18114-1
Softcover ISBN
978-3-319-18113-4
Series ISSN
2364-4532
Edition Number
1
Number of Pages
XII, 107
Number of Illustrations
12 b/w illustrations, 25 illustrations in colour
Topics