Mechanical impedance of biological tissues in a model with preset displacements on the surface of a half-space

Abstract

A model is developed to describe the formation of the mechanical impedance of biological tissues for the case where the impedance is measured by pressing a circular flat vibrating disk into the tissue normally to its surface while both the disk and the stationary frame of the measuring device are in contact with the tissue surface. Analytical expressions in quadrature form are derived for the mechanical impedance of tissues by using the model of a half-space with preset displacements of its surface. Numerical calculations are performed, and the agreement with the experiments is demonstrated for the effects caused by the tight contact of the tissue surface with the stationary frame of the measuring device.