Key result
A mathematical model based on constant volume and LV geometry successfully established the relationship between LV wall-thinning and transmitral filling velocity with excellent agreement.
A global, wall-thinning derived diastolic function index can be mathematically derived from the transmitral flow velocity (Doppler E-wave) based on reasonable assumptions of LV geometry and conservation of volume.
May offer a geometry-based diastolic index; leaves open prospective validation before clinical use.
The echocardiographically measured maximal rate of left ventricular (LV) wall-thinning in early diastole has been proposed as a new index of diastolic function. However, its causal relationship to transmitral filling velocity (Doppler E-waves) has not been established. We derived the ventricular wall-thinning to filling relation, using the constant volume of the 4-chamber heart. Left atrio-ventricular geometry was modeled as a constant volume cylinder having a semi-ellipsoid apex and constant external surface. For validation E-wave and color M-Mode images of LV wall thinning were compared to the model predicted filling-velocity to wall-thinning relation. Excellent agreement was observed. We conclude that reasonable assumptions of LV geometry and conservation of volume establish the LV wall-thinning to filling-velocity (Doppler E-wave) relation. Hence, a global, wall-thinning derived diastolic function index is derivable from the transmitral flow velocity (the Doppler E-wave).
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Sessoms et al. (2003) studied Diastolic function. Mathematical model of left ventricular wall-thinning to transmitral filling velocity relation was evaluated on Agreement between echocardiographic images and model-predicted filling-velocity to wall-thinning relation. A mathematical model based on constant volume and LV geometry successfully established the relationship between LV wall-thinning and transmitral filling velocity with excellent agreement.
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