Renewal and fractionality in the brain

Paradisi P.

Stochastic processes  Renewal processes  Fractional calculus  Neurophysiology  Event detection  Time series analysis  Signal processing 

Renewal theory is the basic ingredient of Continuous Time Random Walk (CTRW) models and our analyses show that the intermittent behavior of brain events can be modelled through fractal renewal processes. In the long-time limit, CTRW models with appropriate scaling properties, are known to obey generalized diffusion equations with fractional derivatives in time and/or space. Is it possible to develop a CTRW model for the anomalous transport of information in the brain and, consequently, to derive a fractional model of the brain ?

Source: Chaos, Solitons and Fractals Conference, Amsterdam, The Netherlands, 29 November 2013