Polytechnicheskaya 77, Saratov 410054, Russia
Saratov State Technical University
Emelianova Y. P., Mosekilde E., Kuznetsov A. P., Laugesen J. L.
Dynamics of coupled nephrons and broadband synchronization
2012, Vol. 8, No. 5, pp. 875-896
Nephrons (functional units of the kidney) may be described by means of the system of order differential equations. This provides an opportunity to describe dynamics of both the individual and coupled nephrons by using the theory of dynamical systems and the bifurcation theory. Considering a model of a pair of vascular coupled nephrons the present paper examines the effect that the non-identity of nephrons, i. e. non-identity of peak-to-peak variations in their arteriolar radii in autonomous state, has on the behavior of the coupled system. We investigate the appearance possibility of so-called broadband synchronization region, where the stronger nephron starts to suppress the autonomous oscillations of the weaker nephron. We investigate also the appearance possibility of the regime of total oscillator death, where oscillations of both nephrons are abolished.