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Renal blood flow

While the terms generally apply to arterial blood delivered to the kidneys, both RBF and RPF can be used to quantify the volume of venous blood exiting the kidneys per unit time. In this context, the terms are commonly given subscripts to refer to arterial or venous blood or plasma flow, as in RBF_a, RBF_v, RPF_a, and RPF_v. Physiologically, however, the differences in these values are negligible so that arterial flow and venous flow are often assumed equal.

Renal plasma flow[edit]

Renal plasma flow is the volume of plasma that reaches the kidneys per unit time. Renal plasma flow is given by the Fick principle:

${\displaystyle RPF={\frac {U_{x}V}{P_{a}-P_{v}}}}$

This is essentially a conservation of mass equation which balances the renal inputs (the renal artery) and the renal outputs (the renal vein and ureter). Put simply, a non-metabolizable solute entering the kidney via the renal artery has two points of exit, the renal vein and the ureter. The mass entering through the artery per unit time must equal the mass exiting through the vein and ureter per unit time:

${\displaystyle RPF_{a}\times P_{a}=RPF_{v}\times P_{v}+U_{x}\times V}$

where P_a is the arterial plasma concentration of the substance, P_v is its venous plasma concentration, U_x is its urine concentration, and V is the urine flow rate. The product of flow and concentration gives mass per unit time.

As mentioned previously, the difference between arterial and venous blood flow is negligible, so RPF_a is assumed to be equal to RPF_v, thus

${\displaystyle RPF\times P_{a}=RPF\times P_{v}+U_{x}V}$

Rearranging yields the previous equation for RPF:

${\displaystyle RPF={\frac {U_{x}V}{P_{a}-P_{v}}}}$

Measuring[edit]

Values of P_v are difficult to obtain in patients. In practice, PAH clearance is used instead to calculate the effective renal plasma flow (eRPF). PAH (para-aminohippurate) is freely filtered, is not reabsorbed, and is secreted within the nephron. In other words, not all PAH crosses into the primary filtrate in Bowman's capsule and the remaining PAH in the vasa recta or peritubular capillaries is taken up and secreted by epithelial cells of the proximal convoluted tubule into the tubule lumen. In this way PAH, at low doses, is almost completely cleared from the blood during a single pass through the kidney. (Accordingly, the plasma concentration of PAH in renal venous blood is approximately zero.) Setting P_v to zero in the equation for RPF yields

${\displaystyle eRPF={\frac {U_{x}}{P_{a}}}V}$

which is the equation for renal clearance. For PAH, this is commonly represented as

${\displaystyle eRPF={\frac {U_{PAH}}{P_{PAH}}}V}$

Since the venous plasma concentration of PAH is not exactly zero (in fact, it is usually 10% of the PAH arterial plasma concentration), eRPF usually underestimates RPF by approximately 10%. This margin of error is generally acceptable considering the ease with which PAH infusion allows eRPF to be measured.

Finally, renal blood flow (RBF) can be calculated from a patient's renal plasma flow (RPF) and hematocrit (Hct) using the following equation:

${\displaystyle RBF={\frac {RPF}{1-Hct}}}$.^[2]

Autoregulation and kidney failure[edit]

If the kidney is methodologically perfused at moderate pressures (90–220 mm Hg performed on an experimental animal; in this case, a dog), then, there is a proportionate increase of:

-Renal Vascular Resistance

Along with the increase in pressure. At low perfusion pressures, Angiotensin II may act by constricting the efferent arterioles, thus mainlining the GFR and playing a role in autoregulation of renal blood flow.^[3] People with poor blood flow to the kidneys caused by medications that inhibit angiotensin-converting enzyme may face kidney failure.^[4]

References[edit]

Bibliography

External links[edit]

• Renal Clearance Techniques