A COMPLEX ORDER MODEL of ATRIAL ELECTRICAL PROPAGATION from FRACTAL POROUS CELL MEMBRANE
Cardiac tissue is characterized by structural and cellular heterogeneities that play an important role in the cardiac conduction system. Under persistent atrial fibrillation (persAF), electrical and structural remodeling occur simultaneously. The classical mathematical models of cardiac electrophysi...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2020
- Institución:
- Universidad de Medellín
- Repositorio:
- Repositorio UDEM
- Idioma:
- eng
- OAI Identifier:
- oai:repository.udem.edu.co:11407/5904
- Acceso en línea:
- http://hdl.handle.net/11407/5904
- Palabra clave:
- Atrial Electrophysiology
Atrial Fibrillation
Complex Order Derivatives
Fractals
Myocardium Heterogeneities
Cytology
Electrophysiology
Heart
Structural properties
Tissue
Cardiac conductions
Complex-order derivatives
Electrical and structural properties
Electrical propagation
Electrophysiological properties
Mathematical equations
Numerical procedures
Structural remodeling
Fractal dimension
- Rights
- License
- http://purl.org/coar/access_right/c_16ec
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| dc.title.none.fl_str_mv |
A COMPLEX ORDER MODEL of ATRIAL ELECTRICAL PROPAGATION from FRACTAL POROUS CELL MEMBRANE |
| title |
A COMPLEX ORDER MODEL of ATRIAL ELECTRICAL PROPAGATION from FRACTAL POROUS CELL MEMBRANE |
| spellingShingle |
A COMPLEX ORDER MODEL of ATRIAL ELECTRICAL PROPAGATION from FRACTAL POROUS CELL MEMBRANE Atrial Electrophysiology Atrial Fibrillation Complex Order Derivatives Fractals Myocardium Heterogeneities Cytology Electrophysiology Heart Structural properties Tissue Cardiac conductions Complex-order derivatives Electrical and structural properties Electrical propagation Electrophysiological properties Mathematical equations Numerical procedures Structural remodeling Fractal dimension |
| title_short |
A COMPLEX ORDER MODEL of ATRIAL ELECTRICAL PROPAGATION from FRACTAL POROUS CELL MEMBRANE |
| title_full |
A COMPLEX ORDER MODEL of ATRIAL ELECTRICAL PROPAGATION from FRACTAL POROUS CELL MEMBRANE |
| title_fullStr |
A COMPLEX ORDER MODEL of ATRIAL ELECTRICAL PROPAGATION from FRACTAL POROUS CELL MEMBRANE |
| title_full_unstemmed |
A COMPLEX ORDER MODEL of ATRIAL ELECTRICAL PROPAGATION from FRACTAL POROUS CELL MEMBRANE |
| title_sort |
A COMPLEX ORDER MODEL of ATRIAL ELECTRICAL PROPAGATION from FRACTAL POROUS CELL MEMBRANE |
| dc.subject.spa.fl_str_mv |
Atrial Electrophysiology Atrial Fibrillation Complex Order Derivatives Fractals Myocardium Heterogeneities |
| topic |
Atrial Electrophysiology Atrial Fibrillation Complex Order Derivatives Fractals Myocardium Heterogeneities Cytology Electrophysiology Heart Structural properties Tissue Cardiac conductions Complex-order derivatives Electrical and structural properties Electrical propagation Electrophysiological properties Mathematical equations Numerical procedures Structural remodeling Fractal dimension |
| dc.subject.keyword.eng.fl_str_mv |
Cytology Electrophysiology Heart Structural properties Tissue Cardiac conductions Complex-order derivatives Electrical and structural properties Electrical propagation Electrophysiological properties Mathematical equations Numerical procedures Structural remodeling Fractal dimension |
| description |
Cardiac tissue is characterized by structural and cellular heterogeneities that play an important role in the cardiac conduction system. Under persistent atrial fibrillation (persAF), electrical and structural remodeling occur simultaneously. The classical mathematical models of cardiac electrophysiological showed remarkable progress during recent years. Among those models, it is of relevance the standard diffusion mathematical equation, that considers the myocardium as a continuum. However, the modeling of structural properties and their influence on electrical propagation still reveal several limitations. In this paper, a model of cardiac electrical propagation is proposed based on complex order derivatives. By assuming that the myocardium has an underlying fractal process, the complex order dynamics emerges as an important modeling option. In this perspective, the real part of the order corresponds to the fractal dimension, while the imaginary part represents the log-periodic corrections of the fractal dimension. Indeed, the imaginary part in the derivative implies characteristic scales within the cardiac tissue. The analytical and numerical procedures for solving the related equation are presented. The sinus rhythm and persAF conditions are implemented using the Courtemanche formalism. The electrophysiological properties are measured and analyzed on different scales of observation. The results indicate that the complex order modulates the electrophysiology of the atrial system, through the variation of its real and imaginary parts. The combined effect of the two components yields a broad range of electrophysiological conditions. Therefore, the proposed model can be a useful tool for modeling electrical and structural properties during cardiac conduction. © 2020 World Scientific Publishing Company. |
| publishDate |
2020 |
| dc.date.accessioned.none.fl_str_mv |
2021-02-05T14:57:44Z |
| dc.date.available.none.fl_str_mv |
2021-02-05T14:57:44Z |
| dc.date.none.fl_str_mv |
2020 |
| dc.type.eng.fl_str_mv |
Article |
| dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.driver.none.fl_str_mv |
info:eu-repo/semantics/article |
| dc.identifier.issn.none.fl_str_mv |
0218348X |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/11407/5904 |
| dc.identifier.doi.none.fl_str_mv |
10.1142/S0218348X20501066 |
| identifier_str_mv |
0218348X 10.1142/S0218348X20501066 |
| url |
http://hdl.handle.net/11407/5904 |
| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.isversionof.none.fl_str_mv |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85092934157&doi=10.1142%2fS0218348X20501066&partnerID=40&md5=2bc51c714df3d9a0472daa62a3960d18 |
| dc.relation.citationvolume.none.fl_str_mv |
28 |
| dc.relation.citationissue.none.fl_str_mv |
6 |
| dc.relation.references.none.fl_str_mv |
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World Scientific |
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Facultad de Ciencias Básicas |
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World Scientific |
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Fractals |
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Repositorio Institucional Universidad de Medellin |
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repositorio@udem.edu.co |
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20202021-02-05T14:57:44Z2021-02-05T14:57:44Z0218348Xhttp://hdl.handle.net/11407/590410.1142/S0218348X20501066Cardiac tissue is characterized by structural and cellular heterogeneities that play an important role in the cardiac conduction system. Under persistent atrial fibrillation (persAF), electrical and structural remodeling occur simultaneously. The classical mathematical models of cardiac electrophysiological showed remarkable progress during recent years. Among those models, it is of relevance the standard diffusion mathematical equation, that considers the myocardium as a continuum. However, the modeling of structural properties and their influence on electrical propagation still reveal several limitations. In this paper, a model of cardiac electrical propagation is proposed based on complex order derivatives. By assuming that the myocardium has an underlying fractal process, the complex order dynamics emerges as an important modeling option. In this perspective, the real part of the order corresponds to the fractal dimension, while the imaginary part represents the log-periodic corrections of the fractal dimension. Indeed, the imaginary part in the derivative implies characteristic scales within the cardiac tissue. The analytical and numerical procedures for solving the related equation are presented. The sinus rhythm and persAF conditions are implemented using the Courtemanche formalism. The electrophysiological properties are measured and analyzed on different scales of observation. The results indicate that the complex order modulates the electrophysiology of the atrial system, through the variation of its real and imaginary parts. The combined effect of the two components yields a broad range of electrophysiological conditions. Therefore, the proposed model can be a useful tool for modeling electrical and structural properties during cardiac conduction. © 2020 World Scientific Publishing Company.engWorld ScientificFacultad de Ciencias Básicashttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85092934157&doi=10.1142%2fS0218348X20501066&partnerID=40&md5=2bc51c714df3d9a0472daa62a3960d18286Kirchhof, P., Benussi, S., Kotecha, D., Ahlsson, A., Atar, D., Casadei, B., Castella, M., Vardas, P., 2016 ESC Guidelines for the management of atrial fibrillation developed in collaboration with EACTS (2016) Europace, 18, pp. 1609-1678Haissaguerre, M, Jais, P, Shah, D C, Garrigue, S, Takahashi, A., Lavergne, T., Hocini, M., Clementy, J., Electrophysiological End Point for Catheter Ablation of Atrial Fibrillation Initiated From Multiple Pulmonary Venous Foci (2000) Circulation, 101, pp. 1409-1417Jalife, J., Mechanisms of persistent atrial fibrillation (2014) Curr. Opini. 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Imag, 35, pp. 2200-2207FractalsAtrial ElectrophysiologyAtrial FibrillationComplex Order DerivativesFractalsMyocardium HeterogeneitiesCytologyElectrophysiologyHeartStructural propertiesTissueCardiac conductionsComplex-order derivativesElectrical and structural propertiesElectrical propagationElectrophysiological propertiesMathematical equationsNumerical proceduresStructural remodelingFractal dimensionA COMPLEX ORDER MODEL of ATRIAL ELECTRICAL PROPAGATION from FRACTAL POROUS CELL MEMBRANEArticleinfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Ugarte, J.P., GIMSC, Facultad de Ingenieriás, Universidad de San Buenaventura, Medellín, ColombiaTobón, C., MATBIOM, Facultad de Ciencias Básicas, Universidad de Medellín, Medellín, ColombiaLopes, A.M., UISPA-LAETA/INEGI, Faculty of Engineering, University of Porto, Porto, PortugalMachado, J.A.T., Institute of Engineering, Polytechnic of Porto, Dept. of Electrical Engineering, Porto, Portugalhttp://purl.org/coar/access_right/c_16ecUgarte J.P.Tobón C.Lopes A.M.Machado J.A.T.11407/5904oai:repository.udem.edu.co:11407/59042021-02-05 09:57:44.844Repositorio Institucional Universidad de Medellinrepositorio@udem.edu.co |