The study presents a novel mathematical approach using stochastic calculus to estimate time-varying ventricular parameters during the cardiac ejection phase.
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Stochastic model estimates time-varying cardiac parameters during ejection; leaves open clinical validation and utility.
Physical parameters representing the energy components of the cardiac pump related to inertance, resistance, and compliance are developed. Stochastic calculus and the martingale optimality principle are used to estimate these time-varying parameters. The method is applied to the ejection phase of the cardiac cycle, using pressure and flow measured at the root of the aorta for the left ventricle. Another Malliavin-calculus-based approximate method is also reported. It is numerically tractable with higher accuracy.
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Ahmed S. Abutaleb (2023) studied this question.
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