2011
DOI: 10.1007/s13239-011-0068-0
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An Inverse Numerical Approach for Modeling Aortic Heart Valve Leaflet Tissue Oxygenation

Abstract: Modeling oxygen diffusion within the aortic heart valve leaflet tissue is challenging. This is because the aortic valve cusp is highly heterogeneous with varying physical properties with respect to location and direction. The conventional numerical solutions such as the finite element method, the finite difference method and other methods applicable to modeling the oxygen diffusion within the tissue contain error regardless of the nature of the given problem or modeling parameters. The major concern with numer… Show more

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Cited by 8 publications
(5 citation statements)
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References 11 publications
(14 reference statements)
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“…The governing equations of motion for the leafletare solved by fourth order Runge-Kutta method. The heart rate and cardiac output were selected to be 70 beats per minute (bmp) and 6 lit/min, respectively [10]. The ventricular pressure is assumed to decrease from a value equal to the aortic pressure (when the valve is fully opened) and the average aortic pressure is considered to be 16.0 kPa, i.e., 120 mmHg in the closing phase and is assumed to be constant all along.…”
Section: Resultsmentioning
confidence: 99%
“…The governing equations of motion for the leafletare solved by fourth order Runge-Kutta method. The heart rate and cardiac output were selected to be 70 beats per minute (bmp) and 6 lit/min, respectively [10]. The ventricular pressure is assumed to decrease from a value equal to the aortic pressure (when the valve is fully opened) and the average aortic pressure is considered to be 16.0 kPa, i.e., 120 mmHg in the closing phase and is assumed to be constant all along.…”
Section: Resultsmentioning
confidence: 99%
“…The heart rate and the cardiac output were selected to be 70 beats per minute (bmp) and 6 L/min, respectively. 11 When the valve is fully open, the ventricular pressure is assumed to decrease from a value equal to the aortic pressure and the average aortic pressure is assumed to be 16.0 kPa which is equal to 120 mmHg in the closing phase and is assumed to remain unchanged all along.…”
Section: Methodsmentioning
confidence: 99%
“…Also, turbulence and the overall hemodynamic complexity around the valve could be an issue in SJM valves. 611 This study aims at addressing some of these shortcomings associated with the conventional SJM valve.…”
Section: Introductionmentioning
confidence: 99%
“…Viscoelasticity of blood: Viscoelasticity is the property of materials that exhibit both viscous and elastic characteristics when undergoing deformation [43][44][45][46][47][48][49]. Biomechanics of Human Blood DOI: http://dx.doi.org/10.5772/intechopen.78305…”
Section: Area Compressibility Modulusmentioning
confidence: 99%