Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 5, Pages 875–896 (Mi nd376)  

Dynamics of coupled nephrons and broadband synchronization

Yulia P. Emelianovaa, Alexander P. Kuznetsovb, Erik Mosekildec, Jakob L. Laugesenc

a Saratov State Technical University, Saratov Russia
b Saratov Branch of Kotelnikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov, Russia
c Department of Physics, Technical University of Denmark
References:
Abstract: 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.
Keywords: coupled nephrons, total oscillator death, broadband synchronization.
Received: 07.11.2012
Revised: 05.12.2012
Document Type: Article
UDC: 517.9
MSC: 37Fxx, 39Axx, 92Bxx
Language: Russian
Citation: Yulia P. Emelianova, Alexander P. Kuznetsov, Erik Mosekilde, Jakob L. Laugesen, “Dynamics of coupled nephrons and broadband synchronization”, Nelin. Dinam., 8:5 (2012), 875–896
Citation in format AMSBIB
\Bibitem{EmeKuzMos12}
\by Yulia~P.~Emelianova, Alexander~P.~Kuznetsov, Erik~Mosekilde, Jakob~L.~Laugesen
\paper Dynamics of coupled nephrons and broadband synchronization
\jour Nelin. Dinam.
\yr 2012
\vol 8
\issue 5
\pages 875--896
\mathnet{http://mi.mathnet.ru/nd376}
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    Нелинейная динамика
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