Key result
Mechanoelectric cardiac models reveal global coupling naturally produces self-oscillatory dynamical regimes.
Why the study?
Cardiac mechanoelectric feedback plays an important role in heart pathologies, but its description through global coupling in mechanoelectric models requires clarification.
Global coupling in mathematical models of cardiac tissue provides a simplified framework to understand mechanoelectrical feedback and self-oscillatory arrhythmias.
Answers are grounded in this paper and cite their sources.
Global coupling simplifies mechanoelectrical feedback modeling; leaves open validation against clinical arrhythmias.
Cardiac mechanoelectric feedback can play an important role in different heart pathologies. In this paper, we show that mechanoelectric models which describe both the electric propagation and the mechanic contraction of cardiac tissue naturally lead to close systems of equations with global coupling among the variables. This point is exemplified using the Nash-Panfilov model, which reduces to a FitzHugh-Nagumo-type equation with global coupling in the linear elastic regime. We explain the appearance of self-oscillatory regimes in terms of the system nullclines and describe the different dynamical attractors. Finally, we study their basin of attraction in terms of the system size and the strength of the stretch-induced currents.
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Álvarez-Lacalle et al. (2009) studied Cardiac mechanoelectric feedback. Mechanoelectric models describing both electric propagation and mechanic contraction of cardiac tissue naturally lead to closed systems of equations with global coupling among the variables.
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