Effect of temperature fluctuation on the localized pattern of action potential in cardiac tissue

Abstract

Based on the improved FitzHugh–Nagumo myocardial model driven by a constant external current, the effect of temperature fluctuation in a network of electrically coupled myocardial cells are investigated through analytical and numerical computations. Through the technique of multiple scale expansion, we successfully reduced the complex nonlinear system of equations to a more tractable and solvable nonlinear amplitude equation on which the analysis of linear stability is performed. Interestingly from this analysis, a plot of critical amplitude of action potential versus wave number revealed the growth rate of modulational instability (MI) is an increasing function of the thermoelectric couplings; $$T^{(1)}$$ T ( 1 ) and $$T^{(2)}$$ T ( 2 ) , under fixed conditions of nonlinear electrical couplings. In order to verify our analytical predictions through the study the long-time evolution of the modulated cardiac impulses, numerical computation is finally carried out. Numerical experiment revealed the existence of localized coherent structures with some recognized features of synchronization. Through the mechanism of MI, changes in thermoelectrical couplings promote wave localization and mode transition in electrical activities in the cell lattice. Results could provide new insights in understanding the underlying mechanism of the manifestation of sudden heart disorder subjected to heavily temperature fluctuation.

Pattern selection in coupled neurons under high-low frequency electric field

“…Indeed, the proper analysis of the spatiotemporal patterns is vital for discerning a wide range of naturally occurring and pathological phenomena. The form of the impulse propagating in the network is very relevant because it could stand as a signature to certain pathologies [24] , [25] . By selecting the appropriate electric field back , the subsequent spatiotemporal of membrane potential is plotted in Fig.…”

Controlling discharge mode in electrical activities of myocardial cell using mixed frequencies magnetic radiation

“…Ji et al [18] , investigated bifurcation events in intracellular calcium ions oscillations using a modified mathematical model. Takembo et al [19] , reported localized modulated wave pattern in cardiac tissue by modulational instability under thermal effect. Lan et al [20] , reported noise-induced synchronous oscillations cardiac tissue.…”