Calder, M., Vyshemirsky, V., Gilbert, D. and Orton, R. (2006) Analysis of signalling pathways using continuous time Markov chains. Lecture Notes in Computer Science, 4220, pp. 44-67. (doi: 10.1007/11880646_3)
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Publisher's URL: http://dx.doi.org/10.1007/11880646_3
Abstract
We describe a quantitative modelling and analysis approach for signal transduction networks. We illustrate the approach with an example, the RKIP inhibited ERK pathway [CSK+03]. Our models are high level descriptions of continuous time Markov chains: proteins are modelled by synchronous processes and reactions by transitions. Concentrations are modelled by discrete, abstract quantities. The main advantage of our approach is that using a (continuous time) stochastic logic and the PRISM model checker, we can perform quantitative analysis such as what is the probability that if a concentration reaches a certain level, it will remain at that level thereafter? or how does varying a given reaction rate affect that probability? We also perform standard simulations and compare our results with a traditional ordinary differential equation model. An interesting result is that for the example pathway, only a small number of discrete data values is required to render the simulations practically indistinguishable.
Item Type: | Articles |
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Keywords: | signalling pathways; stochastic processes; continuous time Markov chains; model checking; continuous stochastic logic |
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Calder, Professor Muffy and Orton, Dr Richard and Gilbert, Prof David and Vyshemirsky, Dr Vladislav |
Authors: | Calder, M., Vyshemirsky, V., Gilbert, D., and Orton, R. |
Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Computing Science College of Medical Veterinary and Life Sciences > School of Infection & Immunity > Centre for Virus Research |
Journal Name: | Lecture Notes in Computer Science |
Publisher: | Springer Verlag |
ISSN: | 0302-9743 |
Copyright Holders: | Copyright © 2006 Springer |
First Published: | First published in Lecture Notes in Computer Science 4220:44-67 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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