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

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

doi:10.1007/s11517-006-0113-6

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

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

Heart And Vascular Health

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	971-982
Number of pages	12
Journal	Medical and Biological Engineering and Computing
Volume	44
Issue number	11
DOIs	https://doi.org/10.1007/s11517-006-0113-6
Publication status	Published 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

Access to Document

10.1007/s11517-006-0113-6

Link to publication in Scopus

Cite this

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title = "Theoretical modeling of micro-scale biological phenomena in human coronary arteries",

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.",

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AU - Mazumdar, Jagannath

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AU - Worthley, Stephen G.

AU - Sanders, Prashanthan

AU - Abbott, Derek

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