Key result
Theoretical analysis shows vibrating mitral and aortic valve frequencies increase with transvalvular pressure differences.
Theoretical stress and vibration analysis indicates that the fundamental frequencies of mitral and aortic valves increase with transvalvular pressure differences.
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Theoretical prediction links valve frequencies to pressure gradients; leaves open empirical validation for heart sound interpretation.
Using a theoretical approach and stress and vibration analysis, formulae have been derived for the frequencies that would be generated by considering the mitral and aortic valve leaflets as vibrating membranes. In the analysis the physical characteristics of the valves, such as loading, valve geometry and valve tissue mechanical properties, were taken into consideration. The analysis showed that the fundamental frequencies for both the vibrating valves increase with the pressure difference across the valve membranes. This suggests that for a better understanding of the role played by the vibrating heart valves in the production of heart sounds, data are needed on the relation between these frequencies and the pressure difference across the valves. Unfortunately such data do not seem to be available.
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Lim et al. (1980) studied Heart sounds. Theoretical stress and vibration analysis was evaluated on Fundamental frequencies of vibrating valves. Theoretical analysis demonstrated that the fundamental frequencies of vibrating mitral and aortic valves increase with the pressure difference across the valve membranes.
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