Map-based model of the cardiac action potential

Evgeny A. Pavlov; Grigory V. Osipov; C. K. Chan; Johan A.K. Suykens

doi:10.1016/j.physleta.2011.06.014

Map-based model of the cardiac action potential

Evgeny A. Pavlov, Grigory V. Osipov, C. K. Chan, Johan A.K. Suykens

Department of Physics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

A simple computationally efficient model which is capable of replicating the basic features of cardiac cell action potential is proposed. The model is a four-dimensional map and demonstrates good correspondence with real cardiac cells. Various regimes of cardiac activity, which can be reproduced by the proposed model, are shown. Bifurcation mechanisms of these regimes transitions are explained using phase space analysis. The dynamics of 1D and 2D lattices of coupled maps which model the behavior of electrically connected cells is discussed in the context of synchronization theory.

Original language	English
Pages (from-to)	2894-2902
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	375
Issue number	32
DOIs	https://doi.org/10.1016/j.physleta.2011.06.014
State	Published - 25 Jul 2011

Keywords

Excitable and oscillatory dynamics
Mathematical modeling
Spiral waves
Synchronization

Access to Document

10.1016/j.physleta.2011.06.014

Cite this

@article{ad7a31bc9d5040749e0890101dd11219,

title = "Map-based model of the cardiac action potential",

abstract = "A simple computationally efficient model which is capable of replicating the basic features of cardiac cell action potential is proposed. The model is a four-dimensional map and demonstrates good correspondence with real cardiac cells. Various regimes of cardiac activity, which can be reproduced by the proposed model, are shown. Bifurcation mechanisms of these regimes transitions are explained using phase space analysis. The dynamics of 1D and 2D lattices of coupled maps which model the behavior of electrically connected cells is discussed in the context of synchronization theory.",

keywords = "Excitable and oscillatory dynamics, Mathematical modeling, Spiral waves, Synchronization",

author = "Pavlov, \{Evgeny A.\} and Osipov, \{Grigory V.\} and Chan, \{C. K.\} and Suykens, \{Johan A.K.\}",

note = "Funding Information: We thank Rosa Rodriguez for excellent technical support. The work was mainly funded by research grants from the Spanish Direcci{\'o}n General de Investigaci{\'o}n (DGI, code BIO2011–23680) and European Union FP7 (TiMet, contract 245143) to M.R.C. DGI also provided funding through a FPI fellowship to M.A.R.S. The Generalitat de Catalunya provided a FI fellowship to A.R.V. and support grants (2009SGR-26 and XRB program). We are members of the IBERCAROT carotenoid network funded by CYTED (code 112RT0445).",

year = "2011",

month = jul,

day = "25",

doi = "10.1016/j.physleta.2011.06.014",

language = "???core.languages.en\_GB???",

volume = "375",

pages = "2894--2902",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

number = "32",

}

TY - JOUR

T1 - Map-based model of the cardiac action potential

AU - Pavlov, Evgeny A.

AU - Osipov, Grigory V.

AU - Chan, C. K.

AU - Suykens, Johan A.K.

N1 - Funding Information: We thank Rosa Rodriguez for excellent technical support. The work was mainly funded by research grants from the Spanish Dirección General de Investigación (DGI, code BIO2011–23680) and European Union FP7 (TiMet, contract 245143) to M.R.C. DGI also provided funding through a FPI fellowship to M.A.R.S. The Generalitat de Catalunya provided a FI fellowship to A.R.V. and support grants (2009SGR-26 and XRB program). We are members of the IBERCAROT carotenoid network funded by CYTED (code 112RT0445).

PY - 2011/7/25

Y1 - 2011/7/25

N2 - A simple computationally efficient model which is capable of replicating the basic features of cardiac cell action potential is proposed. The model is a four-dimensional map and demonstrates good correspondence with real cardiac cells. Various regimes of cardiac activity, which can be reproduced by the proposed model, are shown. Bifurcation mechanisms of these regimes transitions are explained using phase space analysis. The dynamics of 1D and 2D lattices of coupled maps which model the behavior of electrically connected cells is discussed in the context of synchronization theory.

AB - A simple computationally efficient model which is capable of replicating the basic features of cardiac cell action potential is proposed. The model is a four-dimensional map and demonstrates good correspondence with real cardiac cells. Various regimes of cardiac activity, which can be reproduced by the proposed model, are shown. Bifurcation mechanisms of these regimes transitions are explained using phase space analysis. The dynamics of 1D and 2D lattices of coupled maps which model the behavior of electrically connected cells is discussed in the context of synchronization theory.

KW - Excitable and oscillatory dynamics

KW - Mathematical modeling

KW - Spiral waves

KW - Synchronization

UR - http://www.scopus.com/inward/record.url?scp=79960141648&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2011.06.014

DO - 10.1016/j.physleta.2011.06.014

M3 - 期刊論文

AN - SCOPUS:79960141648

SN - 0375-9601

VL - 375

SP - 2894

EP - 2902

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 32

ER -

Map-based model of the cardiac action potential

Abstract

Keywords

Access to Document

Fingerprint

Cite this