ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Pavlova O. N., Pavlov A. N. Multifractal description of nephrons dynamics. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 2, pp. 3-14. DOI: 10.18500/0869-6632-2011-19-2-3-14

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
57.087
DOI: 
10.18500/0869-6632-2011-19-2-3-14

Multifractal description of nephrons dynamics

Autors: 
Pavlova Olga Nikolaevna, Saratov State University
Pavlov Aleksej Nikolaevich, Saratov State University
Abstract: 

The dynamics of functional units of the kidney in normotensive and hypertensive rats is studied based on the method of multifractal formalism. Rhythmic processes in a nephron’s mathematical model and in experimental data of tubular pressure are analyzed. Changes in singularity spectra for nephronic tubular processes in a hypertension state are illustrated that include an increase of multifractality degree and a decrease of correlations. The corresponding changes are caused by a stronger degree of chaotic oscillations for tubular pressure in nephrons of hypertensive rats. 

Key words: 
Singularity spectrum
multifractal formalism
nephrons dynamics
hypertension
blood flow autoregulation
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Received: 
15.09.2009
Accepted: 
16.02.2010
Published: 
31.05.2011
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