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Qualitative modeling of mechanoelectrical feedback in a ventricular cell

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Abstract

Mechanical changes in the heart muscle can influence its electrical properties through a process called mechanoelectrical feedback (MEF). This feedback can operate via changes in calcium dynamics during the cross-bridge cycle or via mechanosensitive (stretch-activated) channels. We present a four-variable ordinary differential equation (ODE) system that caricatures the electrical and mechanical activity of a ventricular cell and their mutual interactions. A three-variable excitable system with restitution properties of the FitzHugh-Nagumo type is coupled to a fourth equation which describes changes in cell length during a lightly loaded contraction. The resulting four-variable system models MEF in a cell and can be incorporated into spatially distributed models for mechanoelectric behavior during wave propagation in the cardiac tissue.

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Authors and Affiliations

  1. Department of Physiology, University of Leeds, LS2 9JT, Leeds, U.K.

    Zuzana Knudsen & A. V. Holden

  2. Department of Applied Mathematical Studies, University of Leeds, LS2 9JT, Leeds, U.K.

    J. Brindley

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  1. Zuzana Knudsen
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  2. A. V. Holden
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  3. J. Brindley
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Knudsen, Z., Holden, A.V. & Brindley, J. Qualitative modeling of mechanoelectrical feedback in a ventricular cell. Bltn Mathcal Biology 59, 1155–1181 (1997). https://doi.org/10.1007/BF02460106

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  • DOI: https://doi.org/10.1007/BF02460106

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