Discrete dynamical systems (DDS) are a useful tool for modelling the dynamical behavior of many phenomena occurring in a huge variety of scientific domains. Boolean automata networks, genetic regulation networks, and metabolic networks are just a few examples of DDS used in Bioinformatics. Equations over DDS have been introduced as a formal tool to check the model against experimental data. Solving generic equations over DDS has been proved undecidable. In this paper we propose to solve a decidable abstraction which consists in equations having a constant part. The abstraction we focus on consists in restricting the solutions to equations involving only the periodic behavior of DDS. We provide a fast and scalable method to solve such abstractions.
Dennunzio, A., Formenti, E., Margara, L., Montmirail, V., Riva, S. (2020). Solving equations on discrete dynamical systems. In Computational Intelligence Methods for Bioinformatics and Biostatistics (pp.119-132). Springer Science and Business Media Deutschland GmbH [10.1007/978-3-030-63061-4_12].
Solving equations on discrete dynamical systems
Dennunzio A.;Riva S.
2020
Abstract
Discrete dynamical systems (DDS) are a useful tool for modelling the dynamical behavior of many phenomena occurring in a huge variety of scientific domains. Boolean automata networks, genetic regulation networks, and metabolic networks are just a few examples of DDS used in Bioinformatics. Equations over DDS have been introduced as a formal tool to check the model against experimental data. Solving generic equations over DDS has been proved undecidable. In this paper we propose to solve a decidable abstraction which consists in equations having a constant part. The abstraction we focus on consists in restricting the solutions to equations involving only the periodic behavior of DDS. We provide a fast and scalable method to solve such abstractions.
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