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Human Atrial Electrophysiological Models Under Fractional Derivative: Depolarization and Repolarization Dynamics During Normal and Fibrillation Conditions

dc.creatorUgarte J.P.
dc.creatorTobón C.
dc.date2019
dc.date.accessioned2020-04-29T14:54:07Z
dc.date.available2020-04-29T14:54:07Z
dc.identifier.isbn9783030310189
dc.identifier.issn18650929
dc.identifier.urihttp://hdl.handle.net/11407/5811
dc.descriptionAtrial fibrillation (AF) is the most common arrhythmia within the clinical context. Advanced stages of the AF involve several difficulties in its management and treatment. This occurs mostly because the initiation and perpetuation mechanisms of the AF are still not fully understood. Cardiac scientific computation has become an important tool in researching the underlying mechanisms of the AF. In this work, an equation of action potential propagation that implements fractional order derivatives is used to model the atrial dynamics. The fractional derivative order represents the structural heterogeneities of the atrial myocardium. Using such mathematical operator, the Courtemanche and Maleckar human atrial electrophysiological models, during healthy and AF conditions, are assessed. The results indicate that, through the fractional order variations, there are electrophysiological properties whose behavior do not depend on the cellular model or physiological conditions. On the other hand, there are properties whose behavior under distinct values of the fractional order, are specific to the cellular model and to the physiological condition and they can be characterized quantitatively and qualitatively. Therefore, the fractional atrial propagation model can be a useful tool for modeling a wide range of electrophysiological scenarios in both healthy and AF conditions. © 2019, Springer Nature Switzerland AG.
dc.language.isoeng
dc.publisherSpringer
dc.relation.isversionofhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85075663296&doi=10.1007%2f978-3-030-31019-6_38&partnerID=40&md5=ac486bfc00fd64e3dbcc24f01e7b2343
dc.sourceCommunications in Computer and Information Science
dc.subjectAtrial fibrillation
dc.subjectFractional calculus
dc.subjectHuman atrial electrophysiological models
dc.subjectMyocardium structural heterogeneity
dc.subjectCalculations
dc.subjectDiseases
dc.subjectElectrophysiology
dc.subjectMathematical operators
dc.subjectAction potential propagation
dc.subjectAtrial fibrillation
dc.subjectElectrophysiological models
dc.subjectElectrophysiological properties
dc.subjectFractional calculus
dc.subjectFractional order derivatives
dc.subjectPhysiological condition
dc.subjectStructural heterogeneity
dc.subjectPhysiological models
dc.titleHuman Atrial Electrophysiological Models Under Fractional Derivative: Depolarization and Repolarization Dynamics During Normal and Fibrillation Conditions
dc.typeConference Papereng
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.publisher.programFacultad de Ciencias Básicas
dc.identifier.doi10.1007/978-3-030-31019-6_38
dc.relation.citationvolume1052
dc.relation.citationstartpage440
dc.relation.citationendpage450
dc.publisher.facultyFacultad de Ciencias Básicas
dc.affiliationUgarte, J.P., GIMSC, Facultad de Ingenierías, Universidad de San Buenaventura, Medellín, Colombia; Tobón, C., MATBIOM, Facultad de Ciencias Básicas, Universidad de Medellín, Medellín, Colombia
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