Dinamika svjazannyh nefronov i režim širokopolosnoj sinhronizacii

Translated title of the contribution: Dynamics of coupled nephrons and broadband synchronisation

Yu P. Emel'yanova, A. P. Kuznetsov, Erik Mosekilde, Jakob Lund Laugesen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

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.
Translated title of the contributionDynamics of coupled nephrons and broadband synchronisation
Original languageRussian
JournalRussian Journal of Nonlinear Dynamics
Volume8
Issue number5
Pages (from-to)875-896
ISSN1816-448x
Publication statusPublished - 2012

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