FLOW, RESISTANCE, AND PRESSURE IN THE KIDNEYS

The basic equation for blood flow through any organ is as follows:

Q=ΔP/R,

where Q is organ blood flow, ΔP is mean pressure in the artery supplying the organ minus mean pressure in the vein draining that organ, and R is the total vascular resistance in that organ. Resistance is determined by the blood viscosity and the lengths and radii of the organ’s blood vessels, the arteriolar radii being overwhelmingly the major contributor. As described by Poiseiulle’s law, resistance of a cylindrical vessel varies inversely with the fourth power of vessel radius. It takes only a 19% decrease or increase in vessel radius to double or halve vessel resistance. The radii of arterioles are regulated by the state of contraction of the arteriolar smooth muscle.
The presence of 2 two sets of arterioles (afferent and efferent) and 2 sets of capillaries (glomerular and peritubular) makes the vasculature of the cortex unusual. (The vasculature of the medulla is even more unusual, but we concentrate on the cortex for now.) Normally, the resistances of the afferent and efferent arterioles are approximately equal and account for most of the total renal vascular resistance. Resistance in arteries preceding afferent arterioles (ie, cortical radial arteries) plays some role also, but we concentrate on the arterioles. Vascular pressures (ie, hydrostatic or hydraulic pressure) in the 2 capillary beds are quite different. The peritubular capillaries are downstream from the efferent arteriole and have a lower hydraulic pressure. Typical glomerular pressures are near 60 mm Hg in a normal unstressed individual, whereas peritubular pressures are closer to 20 mm Hg. The high glomerular pressure is crucial for glomerular filtration, whereas the low peritubular capillary pressure is equally crucial for the tubular reabsorption of fluid.
To repeat, total RBF is determined mainly by the mean pressure in the renal artery and the contractile state of the smooth muscle of the renal arterioles of the cortex. Now for a simple but very important point: A change in arteriolar resistance produces the same effect on RBF regardless of whether it occurs in the afferent arteriole or efferent arteriole. Because these vessels are in series, a change in either one has the same effect on the total. When the 2 resistances both change in the same direction, the most common state of affairs, their effects on RBF will be additive. When they change in different directions— one resistance increasing and the other decreasing—they exert opposing effects on RBF. We see in the next section that the story is totally different for GFR.