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Mathematical analysis of complex cel...

Bertram, R.

Mathematical analysis of complex cellular activity /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mathematical analysis of complex cellular activity /Richard Bertram ... [et al.].
other author:	Bertram, R.
Published:	Cham :Springer,c2015.
Description:	xii, 107 p. :ill. (some col.) ;23 cm.
Subject:	Biomathematics.
ISBN:	3319181130 (pbk.)

Mathematical analysis of complex cellular activity /
Mathematical analysis of complex cellular activity /Richard Bertram ... [et al.]. - Cham :Springer,c2015. - xii, 107 p. :ill. (some col.) ;23 cm. - Frontiers in applied dynamical systems, reviews and tutorials,12364-4532 ;. - Frontiers in applied dynamical systems ;v. 3..

Includes bibliographical references.

Geometric singular perturbation analysis of bursting oscillations in pituitary cells --

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: 3319181130 (pbk.)Subjects--Topical Terms:

212374
Biomathematics.

LC Class. No.: QH323.5 / .B47 2015

Mathematical analysis of complex cellular activity /
LDR:01989cam a2200217 a 450 001 480042
003 OCoLC
005 20160809224358.0
008 160826s2015 sz a b 000 0 eng d
020 $a 3319181130 (pbk.)
020 $a 9783319181134 (pbk.) : $c NT$1615
035 $a (OCoLC)905638930
035 $a ocn905638930
040 $a YDXCP $b eng $c YDXCP $d BTCTA $d OCLCO $d OCLCQ $d ORE
050 4 $a QH323.5 $b .B47 2015
245 0 0 $a Mathematical analysis of complex cellular activity / $c Richard Bertram ... [et al.].
260 $a Cham : $b Springer, $c c2015.
300 $a xii, 107 p. : $b ill. (some col.) ; $c 23 cm.
490 1 $a Frontiers in applied dynamical systems, reviews and tutorials, $x 2364-4532 ; $v 1
504 $a Includes bibliographical references.
505 0 0 $t Geometric singular perturbation analysis of bursting oscillations in pituitary cells -- $t 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 212374
650 0 $a Calcium $x Physiological effect $x Mathematical models. $3 278177
650 0 $a Cell membranes $x Mathematical models. $3 735573
650 0 $a Cell physiology $x Mathematical models. $3 664199
650 0 $a Ergodic theory. $3 219112
650 0 $a Ion channels $x Mathematical models. $3 735574
650 0 $a Mathematical analysis $x Cytology. $3 731700
650 0 $a Nonlinear systems. $3 182906
650 0 $a Perturbation (Mathematics) $3 190940
650 0 $a Pituitary gland $x Mathematical models. $3 735575
700 1 $a Bertram, R. $q (Richard), $e author. $3 735572
830 0 $a Frontiers in applied dynamical systems ; $v v. 3. $3 718921