SEARCHING FOR SPECIFIC PERIODIC AND CHAOTIC OSCILLATIONS IN A PERIODICALLY-EXCITED HODGKIN-HUXLEY MODEL

dc.creatorSoriano, DC
dc.creatorAttux, R
dc.creatorSuyama, R
dc.creatorRomano, JMT
dc.date2012
dc.dateJAN
dc.date2014-07-30T18:31:29Z
dc.date2015-11-26T17:02:50Z
dc.date2014-07-30T18:31:29Z
dc.date2015-11-26T17:02:50Z
dc.date.accessioned2018-03-28T23:50:59Z
dc.date.available2018-03-28T23:50:59Z
dc.identifierInternational Journal Of Bifurcation And Chaos. World Scientific Publ Co Pte Ltd, v. 22, n. 1, 2012.
dc.identifier0218-1274
dc.identifierWOS:000300776100006
dc.identifier10.1142/S0218127412300066
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/71238
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/71238
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1278963
dc.descriptionThis work has a twofold aim: to present a numerical analysis of the Hodgkin-Huxley model in a nonsmooth excitation scenario - which is both challenging and theoretically relevant - and to use the established framework as a basis for testing a method to search for specific oscillating patterns in dynamical systems. The analysis is founded on classical qualitative methods bifurcation diagrams, phase space and spectral analysis - and on the calculation of the system Lyapunov spectrum. This calculation is carried out by means of an algorithm particularly suited to deal with nonsmooth excitation and the complexity of the state equations. The obtained Lyapunov exponents are then used to build a robust cost function (invariant with respect to the initial conditions or specific trajectories in a given basin of attraction) for seeking predefined dynamical patterns that are optimized using the particle swarm optimization algorithm. This bioinspired method possesses two desirable features: it has a significant global search potential and does not demand cost function manipulation. The proposed approach, which was tested here in different representative scenarios for the Hodgkin-Huxley model, has a promising application potential in general dynamical contexts and can also be a valuable tool in the planning of drug administration and electrical stimulation of neuronal and cardiac cells.
dc.description22
dc.description1
dc.languageen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.publisherSingapore
dc.publisherSingapura
dc.relationInternational Journal Of Bifurcation And Chaos
dc.relationInt. J. Bifurcation Chaos
dc.rightsfechado
dc.sourceWeb of Science
dc.subjectLyapunov exponents
dc.subjectnonsmooth excitation
dc.subjectHodgkin-Huxley model
dc.subjectparticle swarm
dc.subjectInduced Spatial Periodicity
dc.subjectCoherence Resonance
dc.subjectLyapunov Exponents
dc.subjectNeuronal Networks
dc.subjectExcitable Media
dc.subjectNoise
dc.subjectBifurcations
dc.subjectDriven
dc.subjectEquations
dc.subjectStimulation
dc.titleSEARCHING FOR SPECIFIC PERIODIC AND CHAOTIC OSCILLATIONS IN A PERIODICALLY-EXCITED HODGKIN-HUXLEY MODEL
dc.typeArtículos de revistas


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