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  • © 2016

Models of Calcium Signalling

Authors:

  • Includes the description of calcium signaling in different cell types
  • Provides appropriate descriptions for each channel involved in intracellular calcium dynamics
  • Provides realistic, up-to-date examples to teach bifurcation analysis

Part of the book series: Interdisciplinary Applied Mathematics (IAM, volume 43)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xxiii
  2. Basic Theory

    1. Front Matter

      Pages 1-1
    2. Some Background Physiology

      • Geneviève Dupont, Martin Falcke, Vivien Kirk, James Sneyd
      Pages 3-27
    3. The Calcium Toolbox

      • Geneviève Dupont, Martin Falcke, Vivien Kirk, James Sneyd
      Pages 29-96
    4. Basic Modelling Principles: Deterministic Models

      • Geneviève Dupont, Martin Falcke, Vivien Kirk, James Sneyd
      Pages 97-161
    5. Hierarchical and Stochastic Modelling

      • Geneviève Dupont, Martin Falcke, Vivien Kirk, James Sneyd
      Pages 163-205
    6. Nonlinear Dynamics of Calcium

      • Geneviève Dupont, Martin Falcke, Vivien Kirk, James Sneyd
      Pages 207-242
  3. Specific Models

    1. Front Matter

      Pages 243-243
    2. Nonexcitable Cells

      • Geneviève Dupont, Martin Falcke, Vivien Kirk, James Sneyd
      Pages 245-294
    3. Muscle

      • Geneviève Dupont, Martin Falcke, Vivien Kirk, James Sneyd
      Pages 295-336
    4. Neurons and Other Excitable Cells

      • Geneviève Dupont, Martin Falcke, Vivien Kirk, James Sneyd
      Pages 337-385
  4. Back Matter

    Pages 387-436

About this book

This book discusses the ways in which mathematical, computational, and modelling methods can be used to help understand the dynamics of intracellular calcium. The concentration of free intracellular calcium is vital for controlling a wide range of cellular processes, and is thus of great physiological importance. However, because of the complex ways in which the calcium concentration varies, it is also of great mathematical interest.This book presents the general modelling theory as well as a large number of specific case examples, to show how mathematical modelling can interact with experimental approaches, in an interdisciplinary and multifaceted approach to the study of an important physiological control mechanism.

Geneviève Dupont is FNRS Research Director at the Unit of Theoretical Chronobiology of the Université Libre de Bruxelles; Martin Falcke is head of the Mathematical Cell Physiology group at the Max Delbrück Center for Molecular Medicine, Berlin; Vivien Kirk is an Associate Professor in the Department of Mathematics at the University of Auckland, New Zealand; James Sneyd is a Professor in the Department of Mathematics at The University of Auckland, New Zealand. 

Reviews

“This book is entirely focused on the modelling aspects: how quantitative models of calcium signalling are constructed, ‘and how they can help build bridges between seemingly unrelated observations’ … . The book is intended for people who are familiar with the basic theory of differential equations. ... A selected list of literature for further productive reading on different levels of knowledge is given.” (Luisa Consiglieri, zbMATH 1350.92002, 2017)

Authors and Affiliations

  • Unité de Chronobiologie Théorique, Universite Libre de Bruxelles, Brussels, Belgium

    Geneviève Dupont

  • MDC, Berlin, Germany

    Martin Falcke

  • Department of Mathematics, University of Aukland, Auckland, New Zealand

    Vivien Kirk

  • Department of Mathematics, University of Auckland, Auckland, New Zealand

    James Sneyd

About the authors

Geneviève Dupont is Senior Research Associate at Universite Libre de Bruxelles. Martin Falcke is head of the Mathematical Cell Physiology group at the Max Delbruck Center for Molecular Medicine.


Vivien Kirk is Associate Professor of Mathematics at the University of Auckland.


James Sneyd is Professor of Mathematics at the University of Auckland.




Bibliographic Information

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access