Model Checking Biological Oscillators

Authors:
Ezio Bartocci;Flavio Corradini;Emanuela Merelli;Luca Tesei
Affiliations:
Dipartimento di Matematica e Informatica, University of Camerino, Via Madonna delle Carceri, 9, Camerino (MC), 62032, Italy;Dipartimento di Matematica e Informatica, University of Camerino, Via Madonna delle Carceri, 9, Camerino (MC), 62032, Italy;Dipartimento di Matematica e Informatica, University of Camerino, Via Madonna delle Carceri, 9, Camerino (MC), 62032, Italy;Dipartimento di Matematica e Informatica, University of Camerino, Via Madonna delle Carceri, 9, Camerino (MC), 62032, Italy
Venue:
Electronic Notes in Theoretical Computer Science (ENTCS)
Year:
2009

Citing 7
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Abstract

We define a subclass of timed automata, called oscillator timed automata, suitable to model biological oscillators. The semantics of their interactions, parametric w.r.t. a model of synchronization, is introduced. We apply it to the Kuramoto model. Then, we introduce a logic, Kuramoto Synchronization Logic (KSL), and a model checking algorithm in order to verify collective synchronization properties of a population of coupled oscillators.