title: The microchannel flow model under shear stress and higher frequencies.
abstract: The microchannel flow model provides a framework for considering the effect of the vascular bed on the time domain and frequency domain response of soft tissues. The derivation originates with a single small fluid-filled vessel in an elastic medium under uniaxial compression. A fractal branching vasculature is also assumed to be present in the tissue under consideration. This note considers two closely related issues. First, the response of the element under compression or shear as a function of the orientation of the fluid-filled vessel is considered. Second, the transition from quasistatic (Poiseuille's Law) to dynamic (Womersley equations) fluid flow is examined to better predict the evolution of behavior at higher frequencies. These considerations expand the conceptual framework of the microchannel flow model, particularly the range and limits of validity.
authors.affiliation: Department of Electrical and Computer Engineering, University of Rochester, Hopeman Building 203, PO Box 270126, Rochester, NY 14627-0126, United States of America.
authors.forename: K J
authors.initials: KJ
authors.lastname: Parker
mesh_terms: D006801:Humans; D044085:Microfluidics / Q000295:instrumentation / Q000379:methods*; D008955:Models, Cardiovascular; D033081:Shear Strength; D013314:Stress, Mechanical