Theoretical modeling of micro-scale biological phenomena in human coronary arteries

Kelvin Wong, Jagannath Mazumdar, Brandon Pincombe, Stephen G. Worthley, Prashanthan Sanders, Derek Abbott

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)

Abstract

This paper presents a mathematical model of biological structures in relation to coronary arteries with atherosclerosis. A set of equations has been derived to compute blood flow through these transport vessels with variable axial and radial geometries. Three-dimensional reconstructions of diseased arteries from cadavers have shown that atherosclerotic lesions spiral through the artery. The theoretical framework is able to explain the phenomenon of lesion distribution in a helical pattern by examining the structural parameters that affect the flow resistance and wall shear stress. The study is useful for connecting the relationship between the arterial wall geometries and hemodynamics of blood. It provides a simple, elegant and non-invasive method to predict flow properties for geometrically complex pathology at micro-scale levels and with low computational cost.

Original languageEnglish
Pages (from-to)971-982
Number of pages12
JournalMedical and Biological Engineering and Computing
Volume44
Issue number11
DOIs
Publication statusPublished or Issued - 1 Nov 2006

Keywords

  • Atherosclerosis
  • Axial and radial asymmetry
  • Resistance to flow ratio
  • Spiraling lesion
  • Wall shear stress

ASJC Scopus subject areas

  • Biomedical Engineering
  • Computer Science Applications

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