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Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models/ by Aslak Tveito, Glenn T. Lines.
作者:	Tveito, Aslak.
其他作者:	Lines, Glenn T.
面頁冊數:	XVI, 261 p. 129 illus., 30 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Computer mathematics. -
電子資源:	https://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. - 1st ed. 2016. - XVI, 261 p. 129 illus., 30 illus. in color.online resource. - Lecture Notes in Computational Science and Engineering,1111439-7358 ;. - Lecture Notes in Computational Science and Engineering,103.

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:

1199796
Computer mathematics.

LC Class. No.: QA71-90

Dewey Class. No.: 004

Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models
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