Interacting dynamical systems abound in nature and often the interest is not only to understand if, but also how they interact i.e. to reveal the functions and mechanisms that define and connect them. Coupling functions contain detailed information about the functional mechanisms underlying the interactions and prescribe the physical rule specifying how an interaction occurs. We used a method based on dynamical Bayesian inference to reconstruct the neural cross-frequency coupling functions from the phase dynamics of the brainwave oscillations. The focus was on the delta-to-alpha coupling function in three cases: (i) resting state, (ii) general anaesthesia induced by propofol and sevoflurane anesthetics and (iii) natural sleep state. In this way, we studied the delta-to-alpha coupling function form and the quantitative alterations between the different neural states.
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