Synchronization of period-doubling oscillations in vascular coupled nephrons

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Synchronization of period-doubling oscillations in vascular coupled nephrons. / Laugesen, Jakob Lund; Mosekilde, Erik; von Holstein-Rathlou, Niels-Henrik.

I: Chaos (Woodbury, N.Y.), Bind 21, Nr. 3, 2011, s. 033128.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Laugesen, JL, Mosekilde, E & von Holstein-Rathlou, N-H 2011, 'Synchronization of period-doubling oscillations in vascular coupled nephrons', Chaos (Woodbury, N.Y.), bind 21, nr. 3, s. 033128. https://doi.org/10.1063/1.3641828

APA

Laugesen, J. L., Mosekilde, E., & von Holstein-Rathlou, N-H. (2011). Synchronization of period-doubling oscillations in vascular coupled nephrons. Chaos (Woodbury, N.Y.), 21(3), 033128. https://doi.org/10.1063/1.3641828

Vancouver

Laugesen JL, Mosekilde E, von Holstein-Rathlou N-H. Synchronization of period-doubling oscillations in vascular coupled nephrons. Chaos (Woodbury, N.Y.). 2011;21(3):033128. https://doi.org/10.1063/1.3641828

Author

Laugesen, Jakob Lund ; Mosekilde, Erik ; von Holstein-Rathlou, Niels-Henrik. / Synchronization of period-doubling oscillations in vascular coupled nephrons. I: Chaos (Woodbury, N.Y.). 2011 ; Bind 21, Nr. 3. s. 033128.

Bibtex

@article{e9e41f8f2a9a45729a4c1f56961c2acc,
title = "Synchronization of period-doubling oscillations in vascular coupled nephrons",
abstract = "The mechanisms by which the individual functional unit (nephron) of the kidney regulates the incoming blood flow give rise to a number of nonlinear dynamic phenomena, including period-doubling bifurcations and intra-nephron synchronization between two different oscillatory modes. Interaction between the nephrons produces complicated and time-dependent inter-nephron synchronization patterns. In order to understand the processes by which a pair of vascular coupled nephrons synchronize, the paper presents a detailed analysis of the bifurcations that occur at the threshold of synchronization. We show that, besides infinite cascades of saddle-node bifurcations, these transitions involve mutually connected cascades of torus and homoclinic bifurcations. To illustrate the broader range of occurrence of this bifurcation structure for coupled period-doubling systems, we show that a similar structure arises in a system of two coupled, non-identical Ro¨ssler oscillators.",
keywords = "Animals, Feedback, Physiological, Humans, Kidney Tubules, Proximal, Models, Biological, Nephrons, Oscillometry, Pressure, Rats, Time Factors",
author = "Laugesen, {Jakob Lund} and Erik Mosekilde and {von Holstein-Rathlou}, Niels-Henrik",
year = "2011",
doi = "10.1063/1.3641828",
language = "English",
volume = "21",
pages = "033128",
journal = "Chaos",
issn = "1054-1500",
publisher = "American Institute of Physics",
number = "3",

}

RIS

TY - JOUR

T1 - Synchronization of period-doubling oscillations in vascular coupled nephrons

AU - Laugesen, Jakob Lund

AU - Mosekilde, Erik

AU - von Holstein-Rathlou, Niels-Henrik

PY - 2011

Y1 - 2011

N2 - The mechanisms by which the individual functional unit (nephron) of the kidney regulates the incoming blood flow give rise to a number of nonlinear dynamic phenomena, including period-doubling bifurcations and intra-nephron synchronization between two different oscillatory modes. Interaction between the nephrons produces complicated and time-dependent inter-nephron synchronization patterns. In order to understand the processes by which a pair of vascular coupled nephrons synchronize, the paper presents a detailed analysis of the bifurcations that occur at the threshold of synchronization. We show that, besides infinite cascades of saddle-node bifurcations, these transitions involve mutually connected cascades of torus and homoclinic bifurcations. To illustrate the broader range of occurrence of this bifurcation structure for coupled period-doubling systems, we show that a similar structure arises in a system of two coupled, non-identical Ro¨ssler oscillators.

AB - The mechanisms by which the individual functional unit (nephron) of the kidney regulates the incoming blood flow give rise to a number of nonlinear dynamic phenomena, including period-doubling bifurcations and intra-nephron synchronization between two different oscillatory modes. Interaction between the nephrons produces complicated and time-dependent inter-nephron synchronization patterns. In order to understand the processes by which a pair of vascular coupled nephrons synchronize, the paper presents a detailed analysis of the bifurcations that occur at the threshold of synchronization. We show that, besides infinite cascades of saddle-node bifurcations, these transitions involve mutually connected cascades of torus and homoclinic bifurcations. To illustrate the broader range of occurrence of this bifurcation structure for coupled period-doubling systems, we show that a similar structure arises in a system of two coupled, non-identical Ro¨ssler oscillators.

KW - Animals

KW - Feedback, Physiological

KW - Humans

KW - Kidney Tubules, Proximal

KW - Models, Biological

KW - Nephrons

KW - Oscillometry

KW - Pressure

KW - Rats

KW - Time Factors

U2 - 10.1063/1.3641828

DO - 10.1063/1.3641828

M3 - Journal article

C2 - 21974663

VL - 21

SP - 033128

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 3

ER -

ID: 40319378