An Abstraction Theory for Qualitative Models of Biological Systems

Details An Abstraction Theory for Qualitative Models of Biological Systems An Abstraction Theory for Qualitative Models of Biological Systems

2010-11-02

arxiv.org/abs/1011.0489v1

EPTCS 40, 2010, pp. 23-38

Computer Science

Computational Engineering, Finance, and Science

In Proceedings MeCBIC 2010, arXiv:1011.0051

Scientific paper

10.4204/EPTCS.40.3

Multi-valued network models are an important qualitative modelling approach used widely by the biological community. In this paper we consider developing an abstraction theory for multi-valued network models that allows the state space of a model to be reduced while preserving key properties of the model. This is important as it aids the analysis and comparison of multi-valued networks and in particular, helps address the well-known problem of state space explosion associated with such analysis. We also consider developing techniques for efficiently identifying abstractions and so provide a basis for the automation of this task. We illustrate the theory and techniques developed by investigating the identification of abstractions for two published MVN models of the lysis-lysogeny switch in the bacteriophage lambda.

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