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dc.contributor.authorKöksal Ersöz E.en_US
dc.contributor.authorDesroches M.en_US
dc.contributor.authorMirasso C.en_US
dc.contributor.authorRodrigues S.en_US
dc.date.accessioned2019-02-11T07:47:53Z
dc.date.available2019-02-11T07:47:53Z
dc.date.issued2019-01-14
dc.identifier.issn1054-1500
dc.identifier.urihttp://hdl.handle.net/20.500.11824/918
dc.description.abstractNeurons can anticipate incoming signals by exploiting a physiological mechanism that is not well understood. This article offers a novel explanation on how a receiver neuron can predict the sender’s dynamics in a unidirectionally-coupled configuration, in which both sender and receiver follow the evolution of a multi-scale excitable system. We present a novel theoretical viewpoint based on a mathematical object, called canard, to explain anticipation in excitable systems. We provide a numerical approach, which allows to determine the transient effects of canards. To demonstrate the general validity of canard-mediated anticipation in the context of excitable systems, we illustrate our framework in two examples, a multi-scale radio-wave circuit (the van der Pol model) that inspired a caricature neuronal model (the FitzHugh-Nagumo model) and a biophysical neuronal model (a 2-dimensional reduction of the Hodgkin-Huxley model), where canards act as messengers to the senders’ prediction. We also propose an experimental paradigm that would enable experimental neuroscientists to validate our predictions. We conclude with an outlook to possible fascinating research avenues to further unfold the mechanisms underpinning anticipation. We envisage that our approach can be employed by a wider class of excitable systems with appropriate theoretical extensions.en_US
dc.description.sponsorshipERC Advanced Grant NerVi no. 227747 Ikerbasque (The Basque Foundation for Science)en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherChaos: An Interdisciplinary Journal of Nonlinear Scienceen_US
dc.relationEUS/BERC/BERC.2018-2021en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectneuron modelen_US
dc.subjectcoupled oscillatorsen_US
dc.subjectcanardsen_US
dc.subjectcellular membraneen_US
dc.titleAnticipation via canards in excitable systemsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/publishedVersionen_US
dc.identifier.doi10.1063/1.5050018
dc.relation.publisherversionhttps://aip.scitation.org/doi/10.1063/1.5050018en_US


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