Key result
The periodically forced Fitzhugh-Nagumo system reproduced the waveforms of myocardial and pacemaker action potentials with high fidelity using square wave and cosine wave forcing, respectively.
Why the study?
The authors aimed to develop models of the action potentials of healthy human myocardial and pacemaker cells using the periodically forced Fitzhugh-Nagumo system.
The periodically forced Fitzhugh-Nagumo system can accurately model human myocardial and pacemaker action potentials using square wave and cosine wave forcing functions, respectively.
Offers a simple in silico model for cardiac potentials; leaves open validation and clinical translation.
In this paper, we aim to develop models of the action potentials of healthy human myocardial and pacemaker cells using the periodically forced Fitzhugh-Nagumo system. Pacemaker cells generate impulses which cause myocardial cells to contract, producing a heartbeat. Such impulses both cause and result from changes in membrane potential. Using eigenvalue stability analysis and the Hopf Bifurcation Theorem, we determined ranges of the two constants intrinsic to the system and the forcing amplitude for which the system has a unique, stable limit cycle. From simulations in MATLAB, we discovered that at forcing amplitudes near and greater than the maximum value which induces the limit cycle, the square wave and the cosine wave forced systems describe the behaviors of myocardial and pacemaker action potentials, respectively, with high fidelity.
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Amy Ngo (2020) studied Cardiac action potentials. Fitzhugh-Nagumo system was evaluated. The periodically forced Fitzhugh-Nagumo system reproduced the waveforms of myocardial and pacemaker action potentials with high fidelity using square wave and cosine wave forcing, respectively.
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