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Mathematical analysis of complex cel...

Bertram, Richard.

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Mathematical analysis of complex cellular activity

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical analysis of complex cellular activity/ by Richard Bertram ... [et al.].
other author:	Bertram, Richard.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xii, 107 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- Bursting Oscillations in Pituitary Cells: Z-Curves, Folded Nodes, Calcium Stores and Mixed-Mode Oscillations -- The Nonlinear Dynamics of Calcium.
Contained By:	Springer eBooks
Subject:	Biomathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-18114-1
ISBN:	9783319181141

Mathematical analysis of complex cellular activity
Mathematical analysis of complex cellular activity[electronic resource] /by Richard Bertram ... [et al.]. - Cham :Springer International Publishing :2015. - xii, 107 p. :ill., digital ;24 cm. - Frontiers in applied dynamical systems,v.12364-4532 ;. - Frontiers in applied dynamical systems ;v.1..

Preface -- Bursting Oscillations in Pituitary Cells: Z-Curves, Folded Nodes, Calcium Stores and Mixed-Mode 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 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.

ISBN: 9783319181141

Standard No.: 10.1007/978-3-319-18114-1doiSubjects--Topical Terms:

523796
Biomathematics.

LC Class. No.: QH323.5

Dewey Class. No.: 570.151

Mathematical analysis of complex cellular activity
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245 0 0 $a Mathematical analysis of complex cellular activity $h [electronic resource] / $c by Richard Bertram ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xii, 107 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in applied dynamical systems, $x 2364-4532 ; $v v.1
505 0 $a Preface -- Bursting Oscillations in Pituitary Cells: Z-Curves, Folded Nodes, Calcium Stores and Mixed-Mode Oscillations -- The Nonlinear Dynamics of Calcium.
520 $a 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.
650 0 $a Biomathematics. $3 523796
650 0 $a Cell physiology $x Mathematical models. $3 1639476
650 0 $a Mathematical analysis $x Cytology. $3 2162935
650 0 $a Nonlinear systems. $3 686475
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650 1 4 $a Mathematics. $3 515831
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Nonlinear Dynamics. $3 608190
650 2 4 $a Physiological, Cellular and Medical Topics. $3 891099
700 1 $a Bertram, Richard. $3 2162933
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