Izvestiya of Saratov University.


ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

For citation:

Pavlova O. N., Anisimov A. A., Nazlmov A. I., Pavlov A. N. Synchronous Dynamics of Nephrons Ensembles. Izvestiya of Sarat. Univ. Physics. , 2011, vol. 11, iss. 1, pp. 3-10. DOI: 10.18500/1817-3020-2011-11-1-3-10

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text:
(downloads: 82)

Synchronous Dynamics of Nephrons Ensembles

Pavlova Olga Nikolaevna, Saratov State University
Anisimov Alexyi Aleksandrovich, Saratov State University
Nazlmov Alexyi Igorevich, Saratov State University
Pavlov Alexyi Nikolaevich, Saratov State University

In this work, the phenomenon of synchronization of oscillations in the dynamics of nephronic ensembles is studied. It is shown that a large number of structural units on the kidney's surface participate in the formation of synchronous clusters. It is stated that the cluster's size changes in time and the frequency locking for rhythmic processes in the cooperative dynamics of nephrons occurs only during some parts of experimental recordings. 

  1. Блехман И. И.  Синхронизация  динамических  систем.  М. : Наука, 1971. 
  2. Kuramoto Y. Chemical oscillations, waves and turbulence. Berlin : Springer-Verlag, 1984.
  3. Pikovsky A., Rosenblum M., Kurths J. Synchronization: a universal concept in nonlinear sciences. Cambridge nonlinear science. Ser. 12. Cambridge : Cambridge University Press, 2001. 
  4. Anishchenko V. S., Vadivasova T. E., Postnov D. E., Safonova M. A. Synchronization of Chaos // Intern. J. of Bifurcation and Chaos. 1992. Vol. 2. P. 633−644. 
  5. Rosenblum M., Pikovsky A., Kurths J. Phase synchronization of  chaotic  oscillations   //   Phys.  Rev.  Lett.  1996.  Vol.  76.  P. 1804−1807. 
  6. Anishchenko V. S., Astakhov V. V., Neiman A. B., Vadivasova T. E., Schimansky-Geier L. Nonlinear dynamics of chaotic and stochastic systems. Berlin : Springer-Verlag, 2002. 
  7. Физиология  человека  /  под  ред. Р. Шмидта, Г. Тевса.  М. : Мир, 1996. 
  8. Marsh D. J., Sosnovtseva O. V., Mosekilde E., HolsteinRathlou N.-H. Vascular coupling induces synchronization, quasiperiodicity, and chaos in a nephron tree // Chaos. 2007. Vol. 17. P. 015114. 
  9. Layton H. E., Pitman E. B., Moore L. C. Limit-cycle oscillations and tubuloglomerular feedback regulation of distal sodium  delivery  //  Amer.  J.  Physiol.  Renal  Physiol.  2000.  Vol. 278. P. F287−F301. 
  10. Leyssac P.P. Further studies on oscillating tubuloglomerular feedback responses in the rat kidney // Acta Physiol. Scand. 1986. Vol. 126. P. 271−277. 
  11. Dilley J.R., Arendshorst W.J. Enhanced tubuloglomerular feedback  activity  in  rats  developing  spontaneous  hypertension // Amer. J. Physiol. Renal Fluid Electrolyte Physiol. 1984. Vol. 247. P. F672−F679. 
  12. Holstein-Rathlou N.-H., He J., Wagner A. J., Marsh D. J. Patterns of blood pressure variability in normotensive and hypertensive rats // Amer. J. Physiol. Regul. Integr. Comp. Physiol. 1995. Vol.269. P.R1230−R1239. 
  13. Holstein-Rathlou N.-H., Leyssac P. P. TGF-mediated oscillations in the proximal intratubular pressure : differences between spontaneously hypertensive rats and Wistar-Kyoto rats // Acta Physiol. Scand. 1986. Vol. 126. P. 333−339. 
  14. Yip K.-P., Holstein-Rathlou N.-H., Marsh D. J. Chaos in blood flow control in genetic and renovascular hypertensive // Amer.  J.  Physiol.  Renal  Fluid  Electrolyte  Physiol.  1991.  Vol. 261. P. F400−F408.
  15. Yip K.-P., Marsh D. J., Holstein-Rathlou N.-H. Low dimensional chaos in renal blood flow control in genetic and experimental  hypertension  //   Physica  D.  1995.  Vol. 80. P. 95−104.
  16. Sosnovtseva O. V., Pavlov A. N., Mosekilde E., HolsteinRathlou N.-H. Synchronization phenomena in multimode dynamics of coupled nephrons // Изв. вузов. Прикладная нелинейная динамика. 2003. Т. 11, № 3. С. 133−147.
  17. Sosnovtseva O. V., Pavlov A. N., Mosekilde E., Yip K.-P., Holstein-Rathlou N.-H., Marsh D. J. Synchronization among mechanisms of renal autoregulation is reduced in hypertensive rats   //   Amer.   J.   Physiol.  Renal  Physiol.  2007.  Vol. 293. P. F1545−F1555. 
  18. Mallat S. G. A wavelet tour of signal processing. N. Y. : Academic Press, 1998. 
  19. Addison P. S. The illustrated wavelet transform handbook : applications in science, engineering, medicine and finance. Bristol ; Philadelphia : IOP Publishing, 2002. 
  20. Hartigan J. A. Clustering algorithms. N. Y. : John Willey & Sons, 1975. 
  21. Pavlov A. N., Makarov V. A., Mosekilde E., Sosnovtseva O. V. Application of wavelet-based tools to study the dynamics of biological  processes  //  Briefings  in  Bioinformatics.  2006.  Vol. 7. P. 375−389. 
  22. Pavlov A. N., Sosnovtseva O. V., Pavlova O. N., Mosekilde E., Holstein-Rathlou N.-H. Characterizing multimode interaction in renal autoregulation // Physiological Measurement. 2008. Vol. 29. P. 945−958.