Detecting Attractors in Biological Models with Uncertain Parameters

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Authors

BRIM Luboš BARNAT Jiří ŠAFRÁNEK David BENEŠ Nikola DEMKO Martin PASTVA Samuel HAJNAL Matej

Year of publication 2017
Type Article in Proceedings
Conference Computational Methods in Systems Biology. CMSB 2017
MU Faculty or unit

Faculty of Informatics

Citation
Doi http://dx.doi.org/10.1007/978-3-319-67471-1_3
Field Informatics
Keywords model checking; systems biology; Computational Tree Logic; dynamical systems; distributed algorithms;
Description Complex behaviour arising in biological systems is typically characterised by various kinds of attractors. An important problem in this area is to determine these attractors. Biological systems are usually described by highly parametrised dynamical models that can be represented as parametrised graphs typically constructed as discrete abstractions of continuous-time models. In such models, attractors are observed in the form of terminal strongly connected components (tSCCs). In this paper, we introduce a novel method for detecting tSCCs in parametrised graphs. The method is supplied with a parallel algorithm and evaluated on discrete abstractions of several non-linear biological models.
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