An ionically based mapping model with memory for cardiac restitution.

An ionically based mapping model with memory for cardiac restitution. Research Abstract Details 

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An ionically based mapping model with memory for cardiac restitution. Abstract Text:

David G Schaeffer,John W Cain,Daniel J Gauthier,Soma S Kalb,Robert A Oliver,Elena G Tolkacheva,Wenjun Ying,Wanda Krassowska,David G Schaeffer,John W Cain,Daniel J Gauthier,Soma S Kalb,Robert A Oliver,Elena G Tolkacheva,Wenjun Ying,Wanda Krassowska,

Many features of the sequence of action potentials produced by repeated stimulation of a patch of cardiac muscle can be modeled by a 1D mapping, but not the full behavior included in the restitution portrait. Specifically, recent experiments have found that (i) the dynamic and S1-S2 restitution curves are different (rate dependence) and (ii) the approach to steady state, which requires many action potentials (accommodation), occurs along a curve distinct from either restitution curve. Neither behavior can be produced by a 1D mapping. To address these shortcomings, ad hoc 2D mappings, where the second variable is a "memory" variable, have been proposed; these models exhibit qualitative features of the relevant behavior, but a quantitative fit is not possible. In this paper we introduce a new 2D mapping and determine a set of parameters for it that gives a quantitatively accurate description of the full restitution portrait measured from a bullfrog ventricle. The mapping can be derived as an asymptotic limit of an idealized ionic model in which a generalized concentration acts as a memory variable. This ionic basis clarifies how the present model differs from previous models. The ionic basis also provides the foundation for more extensive cardiac modeling: e.g., constructing a PDE model that may be used to study the effect of memory on propagation. The fitting procedure for the mapping is straightforward and can easily be applied to obtain a mathematical model for data from other experiments, including experiments on different species.

An ionically based mapping model with memory for cardiac restitution. Publishing Authors By Initials

DG Schaeffer,JW Cain,DJ Gauthier,SS Kalb,RA Oliver,EG Tolkacheva,W Ying,W Krassowska,DG Schaeffer,JW Cain,DJ Gauthier,SS Kalb,RA Oliver,EG Tolkacheva,W Ying,W Krassowska,

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An ionically based mapping model with memory for cardiac restitution. Journal Published:

PUBLICATION TYPE: Research Support, U.S. Gov't,

Journal: Bulletin of mathematical biology

VOLUME: 69

Page Numbers: 459-82

Journal Abbreviation: Bull. Math. Biol.

ISSN: 0092-8240

DAY: 20

MONTH: 01

YEAR: 2007

An ionically based mapping model with memory for cardiac restitution. Information

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LANGUAGE: eng

NlmUniqueID: 401404

An ionically based mapping model with memory for cardiac restitution. Keywords Mesh Terms:

KEYWORDS: Rana catesbeiana

MESH TERMS: physiology

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Grant and Affiliation Information for An ionically based mapping model with memory for cardiac restitution.

AFFILIATION: Department of Mathematics, Duke University, Durham, North Carolina 27708, USA. dgs@math.duke.edu

Country: United States

AGENCY: United States NHLBI

GRANT: R01-HL-72831

ACRONYM: HL

MEDLINETA: Bull Math Biol

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