Multiscale computations on neural networks: From the individual neuron interactions to the macroscopic-level analysis

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dc.contributor.author Spiliotis, KG en
dc.contributor.author Siettos, CI en
dc.date.accessioned 2014-03-01T01:33:48Z
dc.date.available 2014-03-01T01:33:48Z
dc.date.issued 2010 en
dc.identifier.issn 0218-1274 en
dc.identifier.uri http://hdl.handle.net/123456789/20603
dc.subject Bifurcation analysis en
dc.subject Equation-free approach en
dc.subject Multiscale computations en
dc.subject Neural networks en
dc.subject Rare-events analysis en
dc.subject Simulated annealing en
dc.subject.classification Mathematics, Interdisciplinary Applications en
dc.subject.classification Multidisciplinary Sciences en
dc.subject.other Bifurcation analysis en
dc.subject.other Bifurcation diagram en
dc.subject.other Black boxes en
dc.subject.other Coarse-grained en
dc.subject.other Connected graph en
dc.subject.other Equation-Free en
dc.subject.other Individual-based en
dc.subject.other Macroscopic levels en
dc.subject.other Multiscale computation en
dc.subject.other Multiscale computations en
dc.subject.other Neural interactions en
dc.subject.other Stationary state en
dc.subject.other Timestepper en
dc.subject.other Annealing en
dc.subject.other Bifurcation (mathematics) en
dc.subject.other Computer simulation en
dc.subject.other Neural networks en
dc.subject.other Probability density function en
dc.subject.other Simulated annealing en
dc.title Multiscale computations on neural networks: From the individual neuron interactions to the macroscopic-level analysis en
heal.type journalArticle en
heal.identifier.primary 10.1142/S0218127410025442 en
heal.identifier.secondary http://dx.doi.org/10.1142/S0218127410025442 en
heal.language English en
heal.publicationDate 2010 en
heal.abstract We show how the Equation-Free approach for multiscale computations can be exploited to systematically study the dynamics of neural interactions on a random regular connected graph under a pairwise representation perspective. Using an individual-based microscopic simulator as a black box coarse-grained timestepper and with the aid of Simulated Annealing we compute the coarse-grained equilibrium bifurcation diagram and analyze the stability of the stationary states, sidestepping the necessity of obtaining explicit closures at the macroscopic level. We also exploit the scheme to perform a rare-events analysis by estimating an effective FokkerPlanck equation describing the evolving probability density function of the corresponding coarse-grained observables. © 2010 World Scientific Publishing Company. en
heal.journalName International Journal of Bifurcation and Chaos en
dc.identifier.doi 10.1142/S0218127410025442 en
dc.identifier.isi ISI:000275981100008 en
dc.identifier.volume 20 en
dc.identifier.issue 1 en
dc.identifier.spage 121 en
dc.identifier.epage 134 en

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