1. The aim of the present study was to produce a mathematical model that describes the way dynamic changes in renal sympathetic nerve activity affect renal, cortical and medullary blood flow. 2. Cortical blood flow (CBF) and medullary blood flow (MBF) were measured using laser-Doppler flowmetry and (total) renal blood flow (RBF) was measured by transit-time flowmetry in six pentobarbitone-anaesthetized rabbits. The renal nerves were stimulated with rectangular pulses of 2 msec width and constant voltage at frequencies of 0.5, 1, 1.5, 2 and 3 Hz. 3. An exponential function with two parameters was applied; steady state gain and a dynamic constant for the blood flow reduction with stimulation. The steady state gain coefficients were similar for RBF and CBF, but significantly less for MBF. The time taken to reach minimum flow was less for MBF than for RBF and CBF. 4. The model parameters indicate that there is differential neural control of CBF and MBF.