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

by Aslak Tveito, Glenn Lines

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Book Description

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.

This open book is licensed under a Creative Commons License (CC BY-NC). You can download Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models ebook for free in PDF format (7.4 MB).

Book Details

Subject
Science and Mathematics
Publisher
Springer
Published
2016
Pages
279
Edition
1
Language
English
ISBN13
9783319300290
ISBN10
3319300296
ISBN13 Digital
9783319300306
ISBN10 Digital
331930030X
PDF Size
7.4 MB
License
CC BY-NC

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