PUMA
Istituto di Scienza e Tecnologie dell'Informazione     
Paradisi P. Renewal and fractionality in the brain. In: Chaos, Solitons and Fractals Conference (Amsterdam, The Netherlands, 29 November 2013).
 
 
Abstract
(English)
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 ?
URL: http://www.journals.elsevier.com/chaos-solitons-and-fractals/news/top-articles-and-presentations-2014-chaos-conference/
Subject Stochastic processes
Renewal processes
Fractional calculus
Neurophysiology
Event detection
Time series analysis
Signal processing
J.2 PHYSICAL SCIENCES AND ENGINEERING
I.4.6 IMAGE PROCESSING AND COMPUTER VISION. Segmentation
I.5.4 I.5.4 PATTERN RECOGNITION. Applications
J.3 LIFE AND MEDICAL SCIENCES
G.3 PROBABILITY AND STATISTICS
47N30 Applications in probability theory and statistics
60-xx Probability theory and stochastic processes
92Cxx Physiological, cellular and medical topics
46N55 Applications in statistical physics


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