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JOURNALS // Izvestiya of Saratov University. Physics // Archive

Izv. Sarat. Univ. Physics, 2009 Volume 9, Issue 1, Pages 38–53 (Mi isuph55)

Physics

Complex waveforms and synchronization in functional model of vascular nephron tree

P. A. Scherbakov, O. V. Astakhov, D. E. Postnov

Saratov State University

Abstract: We suggest functional model that qualitatively describes oscillatory processes in renal autoregulation. Our model consists of ensemble of two-mode oscillators that are coupled by means of two different pathways. The above coupling pathways count both the geometry of ensemble (tree-like structure or local interaction) and the specific action of individual oscillator (energy distribution netrwork or diffusive coupling). We study the typical operating regimes of suggested model as well as transitions between them.

Keywords: synchronization, functional model, vascular tree, nefron, hemodynamics, multistability, cluster.

UDC: 530.182:577.3

DOI: 10.18500/1817-3020-2009-9-1-38-53



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