The vascular resistance of stenoses in series has been studied in vitro by use of fiber optic laser Doppler anemometry to measure the cross-sectional areas of the stenoses. Pressure gradients across each of the stenoses were measured while both the severity and the separation of the stenoses were altered. The individual resistances were compared with the combined resistance.
Resistance at a stenosis is a nonlinear function of the severity of the stenosis. The resistance is a complex function of the perfusion pressure and the cross-sectional area of the stenosis and cannot be accurately predicted from a single plane angiographic image. With multiple stenoses an approximate assessment of the combined effect can be obtained by summing the value of the resistance for each stenosis but not the degree of the stenoses. The nonlinear relationship of resistance to stenosis severity means that if one stenosis is more severe than the other, the combined effect can be regarded as the same as the effect of the more severe stenosis acting by itself. The distance between the stenoses does not change their combined effect.