Nonlinear dynamics of periodically paced cardiac tissue

Elena G. Tolkacheva; Xiaopeng Zhao

doi:10.1007/s11071-011-0241-x

Nonlinear dynamics of periodically paced cardiac tissue

Elena G. Tolkacheva, Xiaopeng Zhao

Biomedical Engineering

Research output: Contribution to journal › Review article › peer-review

12 Scopus citations

Abstract

This manuscript reviews various experimental methods and mathematical approaches for nonlinear dynamics of paced cardiac tissue. A particular focus is on cardiac alternans. Several mapping models are introduced to predict alternans at the cellular level. Experimental observations and modeling approaches are introduced to understand mechanisms of alternans formation in extended heart tissue. In addition, potential bifurcation mechanisms of alternans and the underlying interplay between calcium and voltage dynamics are discussed.

Original language	English (US)
Pages (from-to)	347-363
Number of pages	17
Journal	Nonlinear Dynamics
Volume	68
Issue number	3
DOIs	https://doi.org/10.1007/s11071-011-0241-x
State	Published - May 2012

Bibliographical note

Funding Information:
Fig. 16 Three different mechanisms of alternans in (a) in two coupled cells. Notations are similar to Fig. 15. Note the presence of additional boundaries in compare to Fig. 15 Acknowledgements This work was supported by National Science Foundation grants PHY0957468 (E.G.T) and 0845753 (XZ).

Keywords

Action potential duration
Alternans
Bifurcations
Restitution

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10.1007/s11071-011-0241-x

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abstract = "This manuscript reviews various experimental methods and mathematical approaches for nonlinear dynamics of paced cardiac tissue. A particular focus is on cardiac alternans. Several mapping models are introduced to predict alternans at the cellular level. Experimental observations and modeling approaches are introduced to understand mechanisms of alternans formation in extended heart tissue. In addition, potential bifurcation mechanisms of alternans and the underlying interplay between calcium and voltage dynamics are discussed.",

keywords = "Action potential duration, Alternans, Bifurcations, Restitution",

author = "Tolkacheva, {Elena G.} and Xiaopeng Zhao",

note = "Funding Information: Fig. 16 Three different mechanisms of alternans in (a) in two coupled cells. Notations are similar to Fig. 15. Note the presence of additional boundaries in compare to Fig. 15 Acknowledgements This work was supported by National Science Foundation grants PHY0957468 (E.G.T) and 0845753 (XZ).",

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T1 - Nonlinear dynamics of periodically paced cardiac tissue

AU - Tolkacheva, Elena G.

AU - Zhao, Xiaopeng

N1 - Funding Information: Fig. 16 Three different mechanisms of alternans in (a) in two coupled cells. Notations are similar to Fig. 15. Note the presence of additional boundaries in compare to Fig. 15 Acknowledgements This work was supported by National Science Foundation grants PHY0957468 (E.G.T) and 0845753 (XZ).

PY - 2012/5

Y1 - 2012/5

N2 - This manuscript reviews various experimental methods and mathematical approaches for nonlinear dynamics of paced cardiac tissue. A particular focus is on cardiac alternans. Several mapping models are introduced to predict alternans at the cellular level. Experimental observations and modeling approaches are introduced to understand mechanisms of alternans formation in extended heart tissue. In addition, potential bifurcation mechanisms of alternans and the underlying interplay between calcium and voltage dynamics are discussed.

AB - This manuscript reviews various experimental methods and mathematical approaches for nonlinear dynamics of paced cardiac tissue. A particular focus is on cardiac alternans. Several mapping models are introduced to predict alternans at the cellular level. Experimental observations and modeling approaches are introduced to understand mechanisms of alternans formation in extended heart tissue. In addition, potential bifurcation mechanisms of alternans and the underlying interplay between calcium and voltage dynamics are discussed.

KW - Action potential duration

KW - Alternans

KW - Bifurcations

KW - Restitution

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U2 - 10.1007/s11071-011-0241-x

DO - 10.1007/s11071-011-0241-x

M3 - Review article

AN - SCOPUS:84863004469

SN - 0924-090X

VL - 68

SP - 347

EP - 363

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 3

ER -

Nonlinear dynamics of periodically paced cardiac tissue

Abstract

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