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 ?
Renewal and fractionality in the brain
Paradisi P
2013
Abstract
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 ?File in questo prodotto:
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Descrizione: Renewal and fractionality in the brain
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Descrizione: Renewal and fractionality in the brain
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