Synchronization of period-doubling oscillations in vascular coupled nephrons
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Synchronization of period-doubling oscillations in vascular coupled nephrons. / Laugesen, Jakob Lund; Mosekilde, Erik; von Holstein-Rathlou, Niels-Henrik.
In: Chaos (Woodbury, N.Y.), Vol. 21, No. 3, 2011, p. 033128.Research output: Contribution to journal › Journal article › Research › peer-review
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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