Model Checking Biological Oscillators

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Ezio Bartocci, Flavio Corradini, Emanuela Merelli, Luca Tesei

Published: 2008, Last Modified: 02 Oct 2025FBTC@ICALP 2008EveryoneRevisionsBibTeXCC BY-SA 4.0
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.