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Geometric Singular Perturbation Analysis of Bursting Oscillations in Pituitary Cells Kapitel lesen Erstes Kapitel lesen

2015 | OriginalPaper | Buchkapitel

2. The Nonlinear Dynamics of Calcium

verfasst von : Vivien Kirk, James Sneyd

Erschienen in: Mathematical Analysis of Complex Cellular Activity

Verlag: Springer International Publishing

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Abstract

Oscillations and travelling waves in the concentration of free cytosolic calcium are complex dynamical phenomena that play vital roles in cellular function, controlling such processes as contraction, secretion and differentiation. Although, nowadays, these oscillations and waves may be observed experimentally with relative ease, we still lack a rigorous understanding of, firstly, the mechanisms underlying these waves and oscillations in different cell types, and, secondly, the mathematical structures that underlie these complex dynamics. Thus, the study of calcium waves and oscillations is one area in which modellers have, over the years, played a major role. Here, we review our current understanding of the nonlinear dynamics of calcium waves and oscillations, restricting our attention almost wholly to deterministic models.

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Vorheriges Kapitel Geometric Singular Perturbation Analysis of Bursting Oscillations in Pituitary Cells
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Metadaten
Titel
The Nonlinear Dynamics of Calcium
verfasst von
Vivien Kirk
James Sneyd
Copyright-Jahr
2015
Buch
Mathematical Analysis of Complex Cellular Activity

Print ISBN: 978-3-319-18113-4

Electronic ISBN: 978-3-319-18114-1

Copyright-Jahr: 2015

DOI
https://doi.org/10.1007/978-3-319-18114-1_2