Pressure and wall shear stress in blood hammer - Analytical theory

Chiang C Mei; Haixiao Jing

doi:10.1016/j.mbs.2016.07.007

Pressure and wall shear stress in blood hammer - Analytical theory

Math Biosci. 2016 Oct:280:62-70. doi: 10.1016/j.mbs.2016.07.007. Epub 2016 Jul 27.

Authors

Chiang C Mei¹, Haixiao Jing²

Affiliations

¹ Department of Civil & Environmental Engineering, Massachusetts Institute of Technology, Cambridge, Mass, USA. Electronic address: ccmei@mit.edu.
² Institute of Water Resources and Hydro-electric Engineering, Xi'an University of Technology, Xi'an, Shanxi, China.

PMID: 27474207
DOI: 10.1016/j.mbs.2016.07.007

Abstract

We describe an analytical theory of blood hammer in a long and stiffened artery due to sudden blockage. Based on the model of a viscous fluid in laminar flow, we derive explicit expressions of oscillatory pressure and wall shear stress. To examine the effects on local plaque formation we also allow the blood vessel radius to be slightly nonuniform. Without resorting to discrete computation, the asymptotic method of multiple scales is utilized to deal with the sharp contrast of time scales. The effects of plaque and blocking time on blood pressure and wall shear stress are studied. The theory is validated by comparison with existing water hammer experiments.

Keywords: Atherosclerosis; Blood hammer; Blood pressure; Cerebral artery; Wall shear stress; Water hammer.

MeSH terms

Blood Pressure / physiology*
Humans
Models, Cardiovascular*
Plaque, Atherosclerotic*
Pressure*
Stress, Mechanical*