Oj. Ilegbusi et Va. Nosovitsky, A MODEL OF BLOOD INTERACTION WITH OPTICAL-FLUID GUIDE FOR LASER ANGIOPLASTY, Annals of biomedical engineering, 25(4), 1997, pp. 653-664
A mathematical model is developed to describe the flow and mixing of b
lood and optical fluid used in liquid-guided light for laser angioplas
ty. The model is based on a two-fluid formulation in which separate tr
ansport equations are solved for the blood and the optical fluid. Empi
rical relations, established in prior work, are used to represent inte
rfluid transport of momentum. Both steady and phasic inflow conditions
are considered. Parametric calculations are performed showing effect
of relative flow rates of blood and optical fluid, on the mixing pheno
mena. The relative velocity considered (based on average blood velocit
y) ranged from 0.08 to 0.28 m/sec. No allowance has been made for abla
tion of the plaque. The predicted results include spatial distribution
of the velocity field and the existence probabilities (volume fractio
ns) that provide a measure of the extent of mixing between the fluids.
It is found that the degree of mixing is adversely affected by the re
lative inflow velocity between blood and optical fluid and the pulsati
lity of blood inflow. Deep penetration of the optical fluid is predict
ed at high relative velocity and at the end of diastolic and early sys
tolic stages of the cardiac cycle.