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dc.contributor.authorReyner Parra, David
dc.contributor.authorBonet Revés, Carles
dc.contributor.authorMartínez-Seara Alonso, M. Teresa
dc.contributor.authorHuguet Casades, Gemma
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2023-11-10T11:45:20Z
dc.date.available2023-11-10T11:45:20Z
dc.date.issued2023-08-29
dc.identifier.citationReyner, D. [et al.]. Traveling waves in a model for cortical spreading depolarization with slow-fast dynamics. "Chaos (Woodbury, N.Y.)", 29 Agost 2023, vol. 33, núm. 8, article 083154.
dc.identifier.issn1089-7682
dc.identifier.urihttp://hdl.handle.net/2117/396240
dc.description.abstractCortical spreading depression and spreading depolarization (CSD) are waves of neuronal depolarization that spread across the cortex, leading to a temporary saturation of brain activity. They are associated with various brain disorders such as migraine and ischemia. We consider a reduced version of a biophysical model of a neuron–astrocyte network for the initiation and propagation of CSD waves [Huguet et al., Biophys. J. 111(2), 452–462, 2016], consisting of reaction-diffusion equations. The reduced model considers only the dynamics of the neuronal and astrocytic membrane potentials and the extracellular potassium concentration, capturing the instigation process implicated in such waves. We present a computational and mathematical framework based on the parameterization method and singular perturbation theory to provide semi-analytical results on the existence of a wave solution and to compute it jointly with its velocity of propagation. The traveling wave solution can be seen as a heteroclinic connection of an associated system of ordinary differential equations with a slow–fast dynamics. The presence of distinct time scales within the system introduces numerical instabilities, which we successfully address through the identification of significant invariant manifolds and the implementation of the parameterization method. Our results provide a methodology that allows to identify efficiently and accurately the mechanisms responsible for the initiation of these waves and the wave propagation velocity.
dc.description.sponsorshipWork produced with support of the grant PID-2021-122954NB-100 funded by MCIN/AEI/ 10.13039/501100011033 and “ERDF: A way of making Europe.” T.M.S and G.H acknowledge the Maria de Maeztu Award for Centers and Units of Excellence in R&D (No. CEX2020-001084-M). T.M.S. is supported by the Catalan Institution for Research and Advanced Studies via an ICREA Academia Prize 2019. We also acknowledge the use of the UPC Dynamical Systems group’s cluster for research computing (https://dynamicalsystems.upc.edu/en/computing/)
dc.language.isoeng
dc.publisherAmerican Institute of Physics (AIP)
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions diferencials ordinàries
dc.subjectÀrees temàtiques de la UPC::Ciències de la salut::Medicina::Neurologia
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
dc.subject.lcshCerebral cortex
dc.subject.lcshComputational neuroscience
dc.titleTraveling waves in a model for cortical spreading depolarization with slow-fast dynamics
dc.typeArticle
dc.subject.lemacEquacions diferencials ordinàries
dc.subject.lemacEscorça cerebral
dc.subject.lemacNeurociència computacional
dc.contributor.groupUniversitat Politècnica de Catalunya. UPCDS - Grup de Sistemes Dinàmics de la UPC
dc.identifier.doi10.1063/5.0160509
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::34 Ordinary differential equations
dc.relation.publisherversionhttps://pubs.aip.org/aip/cha/article/33/8/083154/2908461/Traveling-waves-in-a-model-for-cortical-spreading
dc.rights.accessOpen Access
local.identifier.drac37737701
dc.description.versionPostprint (published version)
dc.relation.projectidinfo:eu-repo/grantAgreement/AEI/PLAN ESTATAL DE INVESTIGACIÓN CIENTÍFICA Y TÉCNICA Y DE INNOVACIÓN 2017-2020/PID2021-122954NB-I00
local.citation.authorReyner, D.; Bonet, C.; Martinez-seara, M.; Huguet, G.
local.citation.publicationNameChaos (Woodbury, N.Y.)
local.citation.volume33
local.citation.number8, article 083154


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