Stochastic generation and suppression of early afterdepolarizations in a three‐dimensional model of cardiac action potential
| Autor: | Irina Bashkirtseva, Philipp Kügler, Evdokiia Slepukhina, Lev Ryashko |
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| Rok vydání: | 2021 |
| Předmět: |
STOCHASTIC GENERATION
STOCHASTIC SENSITIVITY General Mathematics General Engineering RANDOM DISTURBANCES Cardiac action potential LARGE AMPLITUDE OSCILLATION STOCHASTIC SYSTEMS EARLY AFTERDEPOLARIZATIONS MAHALANOBIS DISTANCES STOCHASTIC SENSITIVITY FUNCTIONS Afterdepolarization EARLY AFTER DEPOLARIZATION DETERMINISTIC MODELING MATHEMATICAL MODELING CARDIAC ACTION POTENTIAL THREE-DIMENSIONAL MODEL STOCHASTIC MODELS Neuroscience Mathematics Three dimensional model |
| Zdroj: | Mathematical Methods in the Applied Sciences |
| ISSN: | 1099-1476 0170-4214 |
| DOI: | 10.1002/mma.7688 |
| Popis: | The influence of random disturbances on a three-dimensional simplification of Luo–Rudy model of the cardiac action potential is studied. We show that in the parameter region, where the deterministic model is in the equilibrium regime, noise can trigger large-amplitude oscillations that correspond with pathological early afterdepolarizations (EADs). For this stochastic excitement, the phenomenon of coherence resonance was discovered. On the contrary, in another parameter zone of the model, noise can suppress EADs. We analyze these stochastic phenomena using the stochastic sensitivity functions technique, Mahalanobis distance, the methods of principal directions, and confidence domains. © 2021 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons, Ltd. Russian Science Foundation, RSF: 21-11-00062 This work was supported by the Russian Science Foundation (No. 21-11-00062). |
| Databáze: | OpenAIRE |
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