Modelling of blood flow resistance for an atherosclerotic artery with multiple stenoses and poststenotic dilatations

Mathematical modelling of blood flow through an artery with multiple stenoses and poststenotic dilatations is surveyed in this paper. A set of equations describes the resistance to flow ratio of an artery. Analytic solutions are based on homogenous and irrotational flow through mathematically constructed vessels. Variations in resistance to flow ratio are subjected to alterations in flow behaviour index, structural variations in relation to magnitude of vessel stenosis and multiple abnormal segments. Our analytical framework examines the effects that variability in arterial wall geometry have on the blood flow resistance. The results may aid the angiographic assessment of occlusion due to lesion development in atherosclerotic coronary arteries.