Dynamics of Nephron-Vascular Network

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 t...

Full description

Saved in:
Bibliographic Details
Published in:Bulletin of mathematical biology 2012-12, Vol.74 (12), p.2820-2841
Main Authors: Postnov, D. D., Postnov, D. E., Marsh, D. J., Holstein-Rathlou, N.-H., Sosnovtseva, O. V.
Format: Article
Language:English
Subjects:
Animals
Cell Biology
Electrophysiological Phenomena
Hemodynamics
Life Sciences
Mathematical and Computational Biology
Mathematical Concepts
Mathematics
Mathematics and Statistics
Models, Anatomic
Models, Biological
Nephrons - blood supply
Nephrons - growth & development
Nephrons - physiology
Original Article
Oscillometry
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0092-8240
1522-9602
DOI:10.1007/s11538-012-9781-6