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Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models
Aslak Tveito and Glenn T. Lines
2016
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.
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Keywords
- Antiques & collectables
- Biochemical engineering
- Biomedicine general
- Business & management
- Computational Science and Engineering
- Computer Imaging, Vision, Pattern Recognition and Graphics
- Differential equations
- drug modelling
- Economics, finance, business & management
- Energy industries & utilities
- History of engineering & technology
- Industry & industrial studies
- Information technology industries
- Ion Channels
- Lifestyle, sport & leisure
- Management & management techniques
- Management of specific areas
- Media, information & communication industries
- Medical equipment & techniques
- medicine
- Medicine: General Issues
- probability density functions
- stochastic models
- Technology, engineering, agriculture
- Technology: general issues
- thema EDItEUR::K Economics, Finance, Business and Management::KJ Business and Management::KJM Management and management techniques::KJMV Management of specific areas
- thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNB Energy industries and utilities
- thema EDItEUR::M Medicine and Nursing::MB Medicine: general issues::MBG Medical equipment and techniques
Links
DOI: 10.1007/978-3-319-30030-6web: https://link.springer.com/book/10.1007/978-3-319-30030-6
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