Relations of Radial Vibration of the Arterial Wall to Pulsatile Parameters in Blood Flow for Extraction of Arterial Indices

Abstract

Abstract In light of the utility of radial vibration of the arterial wall for clinical values, this paper presents a theoretical study on the relations of radial vibration of the arterial wall to pulsatile parameters in blood flow. Pulse wave propagation in an artery is formulated as a combination of the governing equations of blood flow and the arterial wall and no-slip conditions at the blood-wall interface. A free wave propagation analysis is conducted on the problem to obtain the wave velocity and the theoretical expressions for blood flow rate and arterial radial displacement in terms of pulsatile pressure. With the harmonics of a pulse signal, mathematical relations of radial vibration of the arterial wall to pulsatile parameters in blood flow are derived under two conditions: without and with wave reflection. These mathematical relations identify the assumptions for the simplified relations employed in the utility of radial vibration of the arterial wall for extraction of arterial indices. With the arterial wall treated as a unit-mass vibration system, these simplified relations are utilized for extraction of arterial indices from radial vibration of the arterial wall. Some other aspects of radial vibration of the arterial wall are further discussed.