Model Checking Biological Oscillators | Zendy

Ezio Bartocci | Zendy; Flavio Corradini | Zendy; Emanuela Merelli | Zendy; Luca Tesei | Zendy

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Model Checking Biological Oscillators

Author(s) -

Ezio Bartocci,

Flavio Corradini,

Emanuela Merelli,

Luca Tesei

Publication year - 2009

Publication title -

electronic notes in theoretical computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.242

H-Index - 60

ISSN - 1571-0661

DOI - 10.1016/j.entcs.2009.02.004

Subject(s) - synchronization (alternating current) , computer science , parametric statistics , automaton , cellular automaton , kuramoto model , theoretical computer science , model checking , population , algorithm , mathematics , computer network , channel (broadcasting) , statistics , demography , sociology

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

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