Emel'yanova, Yu P.5; Kuznetsov, A. P.3; Mosekilde, Erik1; Laugesen, Jakob Lund4
1 Department of Physics, Technical University of Denmark2 Saratov State Technical University3 Institute of Radio Engineering and Electronics4 Department of Structural Engineering and Materials, Technical University of Denmark5 Saratov State Technical University
Nephrons (functional units of kidney) may be described by means of the system of ordinary differential equations. This provides an opportunity to describe the dynamics of both individual and coupled nephrons by using the theory of dynamic systems and the bifurcation theory. Considering the 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 behaviour of the coupled system. We investigate the appearance possibility of so-called broadband synchronisation 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.
Russian Journal of Nonlinear Dynamics, 2012, Vol 8, Issue 5, p. 875-896