國立虎尾科技大學 |

Computing characterizations of drugs for ion channels and receptors using Markov models

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Computing characterizations of drugs for ion channels and receptors using Markov models/ by Aslak Tveito, Glenn T. Lines.
Author:	Tveito, Aslak.
other author:	Lines, Glenn T.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xvi, 261 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Ion channels - Effect of drugs on -
Online resource:	http://dx.doi.org/10.1007/978-3-319-30030-6
ISBN:	9783319300306

Computing characterizations of drugs for ion channels and receptors using Markov models
Tveito, Aslak.

Computing characterizations of drugs for ion channels and receptors using Markov models[electronic resource] /by Aslak Tveito, Glenn T. Lines. - Cham :Springer International Publishing :2016. - xvi, 261 p. :ill. (some col.), digital ;24 cm. - Lecture notes in computational science and engineering,1111439-7358 ;. - Lecture notes in computational science and engineering ;52..

Preface -- Background: Contents and Method -- One-dimensional calcium release -- Models of open and state blockers -- Two-dimensional calcium release -- Computing theoretical drugs in the two-dimensional case -- Generalized systems -- Calcium-induced calcium release -- Numerical release for CICR -- A prototypical model of an ion channel -- Inactivated ion channels -- A simple model of the sodium channel -- Mutations affecting the mean open time -- The burst mode -- Whole sale action potentials.

Open access.

Flow of ions through voltage gated channels can be represented theoretically using stochastic differential equations where the gating mechanism is represented by a Markov model. The flow through a channel can be manipulated using various drugs, and the effect of a given drug can be reflected by changing the Markov model. These lecture notes provide an accessible introduction to the mathematical methods needed to deal with these models. They emphasize the use of numerical methods and provide sufficient details for the reader to implement the models and thereby study the effect of various drugs. Examples in the text include stochastic calcium release from internal storage systems in cells, as well as stochastic models of the transmembrane potential. Well known Markov models are studied and a systematic approach to including the effect of mutations is presented. Lastly, the book shows how to derive the optimal properties of a theoretical model of a drug for a given mutation defined in terms of a Markov model.

ISBN: 9783319300306

Standard No.: 10.1007/978-3-319-30030-6doiSubjects--Topical Terms:

1108195
Ion channels
--Effect of drugs on

LC Class. No.: QH603.I54

Dewey Class. No.: 571.64015118

Computing characterizations of drugs for ion channels and receptors using Markov models
LDR:02677nam a2200349 a 4500 001 863819
003 DE-He213
005 20161012171919.0
006 m d
007 cr nn 008maaau
008 170720s2016 gw s 0 eng d
020 $a 9783319300306 $q (electronic bk.)
020 $a 9783319300290 $q (paper)
024 7 $a 10.1007/978-3-319-30030-6 $2 doi
035 $a 978-3-319-30030-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QH603.I54
072 7 $a PDE $2 bicssc
072 7 $a COM014000 $2 bisacsh
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 571.64015118 $2 23
090 $a QH603.I54 $b T968 2016
100 1 $a Tveito, Aslak. $3 672437
245 1 0 $a Computing characterizations of drugs for ion channels and receptors using Markov models $h [electronic resource] / $c by Aslak Tveito, Glenn T. Lines.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Springer,
300 $a xvi, 261 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes in computational science and engineering, $x 1439-7358 ; $v 111
505 0 $a Preface -- Background: Contents and Method -- One-dimensional calcium release -- Models of open and state blockers -- Two-dimensional calcium release -- Computing theoretical drugs in the two-dimensional case -- Generalized systems -- Calcium-induced calcium release -- Numerical release for CICR -- A prototypical model of an ion channel -- Inactivated ion channels -- A simple model of the sodium channel -- Mutations affecting the mean open time -- The burst mode -- Whole sale action potentials.
506 $a Open access.
520 $a Flow of ions through voltage gated channels can be represented theoretically using stochastic differential equations where the gating mechanism is represented by a Markov model. The flow through a channel can be manipulated using various drugs, and the effect of a given drug can be reflected by changing the Markov model. These lecture notes provide an accessible introduction to the mathematical methods needed to deal with these models. They emphasize the use of numerical methods and provide sufficient details for the reader to implement the models and thereby study the effect of various drugs. Examples in the text include stochastic calcium release from internal storage systems in cells, as well as stochastic models of the transmembrane potential. Well known Markov models are studied and a systematic approach to including the effect of mutations is presented. Lastly, the book shows how to derive the optimal properties of a theoretical model of a drug for a given mutation defined in terms of a Markov model.
650 0 $a Ion channels $x Effect of drugs on $x Mathematical models. $3 1108195
650 0 $a Markov processes. $3 527825
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Computational Science and Engineering. $3 670319
650 2 4 $a Biomedicine general. $3 668531
650 2 4 $a Computer Imaging, Vision, Pattern Recognition and Graphics. $3 671334
700 1 $a Lines, Glenn T. $3 1108194
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Lecture notes in computational science and engineering ; $v 52. $3 639707 $3 876954
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-30030-6
950 $a Mathematics and Statistics (Springer-11649)