Vz. Marmarelis et al., NONLINEAR-ANALYSIS OF RENAL AUTOREGULATION UNDER BROAD-BAND FORCING CONDITIONS, Annals of biomedical engineering, 21(6), 1993, pp. 591-603
Linear analysis of renal blood flow fluctuations, induced experimental
ly in rats by broad-band (pseudorandom) arterial blood pressure forcin
g at various power levels, has been unable to explain fully the dynami
cs of renal autoregulation at low frequencies (1). This observation ha
s suggested the possibility of nonlinear mechanisms subserving renal a
utoregulation at frequencies below 0.2 Hz. This paper presents results
of 3rd-order Volterra-Wiener analysis that appear to explain adequate
ly the nonlinearities in the pressure-flow relation below 0.2 Hz in ra
ts. The contribution of the 3rd-order kernel in describing the dynamic
pressure-flow relation is found to be important. Furthermore, the dep
endence of 1st-order kernel waveforms on the power level of broadband
pressure forcing indicates the presence of nonlinear feedback (of sigm
oid type) based on previously reported analysis of a class of nonlinea
r feedback systems (11).