Double-wavelet approach to studying the modulation properties of nonstationary multimode dynamics.

TY - JOUR

T1 - Double-wavelet approach to studying the modulation properties of nonstationary multimode dynamics.

AU - Sosnovtseva, Olga

AU - Pavlov, A N

AU - Mosekilde, E

AU - Holstein-Rathlou, N-H

AU - Marsh, D J

N1 - Keywords: Algorithms; Animals; Biological Clocks; Computer Simulation; Feedback; Hypertension, Renal; Models, Biological; Models, Statistical; Nephrons; Pressure; Rats; Renal Circulation; Stochastic Processes

PY - 2005

Y1 - 2005

N2 - On the basis of double-wavelet analysis, the paper proposes a method to study interactions in the form of frequency and amplitude modulation in nonstationary multimode data series. Special emphasis is given to the problem of quantifying the strength of modulation for a fast signal by a coexisting slower dynamics and to its physiological interpretation. Application of the approach is demonstrated for a number of model systems, including a model that generates chaotic dynamics. The approach is then applied to proximal tubular pressure data from rat nephrons in order to estimate the degree to which the myogenic dynamics of the afferent arteriole is modulated by the slower tubulo-glomerular dynamics. Our analysis reveals a significantly stronger interaction between the two mechanisms in spontaneously hypertensive rats than in normotensive rats.

AB - On the basis of double-wavelet analysis, the paper proposes a method to study interactions in the form of frequency and amplitude modulation in nonstationary multimode data series. Special emphasis is given to the problem of quantifying the strength of modulation for a fast signal by a coexisting slower dynamics and to its physiological interpretation. Application of the approach is demonstrated for a number of model systems, including a model that generates chaotic dynamics. The approach is then applied to proximal tubular pressure data from rat nephrons in order to estimate the degree to which the myogenic dynamics of the afferent arteriole is modulated by the slower tubulo-glomerular dynamics. Our analysis reveals a significantly stronger interaction between the two mechanisms in spontaneously hypertensive rats than in normotensive rats.

U2 - 10.1088/0967-3334/26/4/002

DO - 10.1088/0967-3334/26/4/002

M3 - Journal article

C2 - 15886431

SN - 0967-3334

VL - 26

SP - 351

EP - 362

JO - Physiological Measurement

JF - Physiological Measurement

IS - 4

ER -