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Lecture Notes in Computational Science and Engineering
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Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models

Authors: Tveito, Aslak, Lines, Glenn T.

  • Offers an accessible introduction to an important theory in a field of growing relevance
  • Includes complete details of models and methods, enabling the reader to implement and study the models under consideration
  • Pursues a systematic approach to studying stochastic release mechanisms where the gating is governed by a Markov model
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eBook  
  • ISBN 978-3-319-30030-6
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover 52,74 €
price for France (gross)
  • ISBN 978-3-319-30029-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 52,74 €
price for France (gross)
  • ISBN 978-3-319-80708-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (15 chapters)

  • Background: Problem and Methods

    Tveito, Aslak (et al.)

    Pages 1-22

  • One-Dimensional Calcium Release

    Tveito, Aslak (et al.)

    Pages 23-54

  • Models of Open and Closed State Blockers

    Tveito, Aslak (et al.)

    Pages 55-69

  • Properties of Probability Density Functions

    Tveito, Aslak (et al.)

    Pages 71-90

  • Two-Dimensional Calcium Release

    Tveito, Aslak (et al.)

    Pages 91-107

Buy this book

eBook  
  • ISBN 978-3-319-30030-6
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover 52,74 €
price for France (gross)
  • ISBN 978-3-319-30029-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 52,74 €
price for France (gross)
  • ISBN 978-3-319-80708-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models
Authors
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
111
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and the Author(s)
eBook ISBN
978-3-319-30030-6
DOI
10.1007/978-3-319-30030-6
Hardcover ISBN
978-3-319-30029-0
Softcover ISBN
978-3-319-80708-9
Series ISSN
1439-7358
Edition Number
1
Number of Pages
XVI, 261
Number of Illustrations and Tables
99 b/w illustrations, 30 illustrations in colour
Topics