Mathematical model for an accurate measurement of flow in blood vessels, considering their cyclic deformation in the time

The mathematical models, used for the electronic implementation of the method for measuring flow in a blood vessel, based in transit time estimation, not take into account the mechanical changes suffered by vessels during the cardiac cycle. In the paper, a mathematical model proposed for the characterization of this method of flow measurement, with a major precision, is presented. In this physical approach, it is assumed that both, the vessel radius and the wall thickness, change following the cyclic sequence of the cardiac function, as happens in reality. This could be useful as a support during the electronic design and implementations of new TTFM flow measuring technique, and also to quantify its real accuracy.