Formal Analysis of Qualitative Long-Term Behaviour in Parametrised Boolean Networks.

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Authors

BENEŠ Nikola BRIM Luboš PASTVA Samuel POLÁČEK Jakub ŠAFRÁNEK David

Year of publication 2019
Type Article in Proceedings
Conference Formal Methods and Software Engineering - 21st International Conference on Formal Engineering Methods, ICFEM 2019, Shenzhen, China, November 5-9, 2019, Proceedings
MU Faculty or unit

Faculty of Informatics

Citation
Web http://dx.doi.org/10.1007/978-3-030-32409-4_22
Doi http://dx.doi.org/10.1007/978-3-030-32409-4_22
Keywords Attractor analysis; Machine learning; Boolean networks
Description Boolean networks offer an elegant way to model the behaviour of complex systems with positive and negative feedback. The long-term behaviour of a Boolean network is characterised by its attractors. Depending on various logical parameters, a Boolean network can exhibit vastly different types of behaviour. Hence, the structure and quality of attractors can undergo a significant change known in systems theory as attractor bifurcation. In this paper, we establish formally the notion of attractor bifurcation for Boolean networks. We propose a semi-symbolic approach to attractor bifurcation analysis based on a parallel algorithm. We use machine-learning techniques to construct a compact, human-readable, representation of the bifurcation analysis results. We demonstrate the method on a set of highly parametrised Boolean networks.
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