Dynamics of nephron-vascular network

Dmitry Postnov; D E Postnov; D J Marsh; Niels-Henrik von Holstein-Rathlou; Olga Sosnovtseva

doi:10.1007/s11538-012-9781-6

Dynamics of nephron-vascular network

Dmitry Postnov, D E Postnov, D J Marsh, Niels-Henrik von Holstein-Rathlou, Olga Sosnovtseva

Renal and Vascular Research

11 Citations (Scopus)

Abstract

The paper presents a modeling study of the spatial dynamics of a nephro-vascular network consisting of individual nephrons connected via a tree-like vascular branching structure. We focus on the effects of nonlinear mechanisms that are responsible for the formation of synchronous patterns in order to learn about processes not directly amenable to experimentation. We demonstrate that: (i) the nearest nephrons are synchronized in-phase due to a vascular propagated electrical coupling, (ii) the next few branching levels display a formation of phase-shifted patterns due to hemodynamic coupling and mode elimination, and (iii) distantly located areas show asynchronous behavior or, if all nephrons and branches are perfectly identical, an infinitely long transient behavior. These results contribute to the understanding of mechanisms responsible for the highly dynamic and limited synchronization observed among groups of nephrons despite of the fairly strong interaction between the individual units.

Original language	English
Journal	Bulletin of Mathematical Biology
Volume	74
Issue number	12
Pages (from-to)	2820-41
Number of pages	22
ISSN	0092-8240
DOIs	https://doi.org/10.1007/s11538-012-9781-6
Publication status	Published - Dec 2012

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AU - Postnov, Dmitry

AU - Postnov, D E

AU - Marsh, D J

AU - von Holstein-Rathlou, Niels-Henrik

AU - Sosnovtseva, Olga

PY - 2012/12

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N2 - The paper presents a modeling study of the spatial dynamics of a nephro-vascular network consisting of individual nephrons connected via a tree-like vascular branching structure. We focus on the effects of nonlinear mechanisms that are responsible for the formation of synchronous patterns in order to learn about processes not directly amenable to experimentation. We demonstrate that: (i) the nearest nephrons are synchronized in-phase due to a vascular propagated electrical coupling, (ii) the next few branching levels display a formation of phase-shifted patterns due to hemodynamic coupling and mode elimination, and (iii) distantly located areas show asynchronous behavior or, if all nephrons and branches are perfectly identical, an infinitely long transient behavior. These results contribute to the understanding of mechanisms responsible for the highly dynamic and limited synchronization observed among groups of nephrons despite of the fairly strong interaction between the individual units.

AB - The paper presents a modeling study of the spatial dynamics of a nephro-vascular network consisting of individual nephrons connected via a tree-like vascular branching structure. We focus on the effects of nonlinear mechanisms that are responsible for the formation of synchronous patterns in order to learn about processes not directly amenable to experimentation. We demonstrate that: (i) the nearest nephrons are synchronized in-phase due to a vascular propagated electrical coupling, (ii) the next few branching levels display a formation of phase-shifted patterns due to hemodynamic coupling and mode elimination, and (iii) distantly located areas show asynchronous behavior or, if all nephrons and branches are perfectly identical, an infinitely long transient behavior. These results contribute to the understanding of mechanisms responsible for the highly dynamic and limited synchronization observed among groups of nephrons despite of the fairly strong interaction between the individual units.

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DO - 10.1007/s11538-012-9781-6

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SP - 2820

EP - 2841

JO - Bulletin of Mathematical Biology

JF - Bulletin of Mathematical Biology

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Dynamics of nephron-vascular network

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