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

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Pavlov A. N., Sosnovtseva O. V., Anisimov A. A., Pavlova O. N. Dynamics of renal blood flow at micro- and macroscopic levels. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 1, pp. 3-18. DOI: 10.18500/0869-6632-2008-16-1-3-18

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Dynamics of renal blood flow at micro- and macroscopic levels

Pavlov Aleksej Nikolaevich, Saratov State University
Sosnovtseva Olga Vladimirovna, Danmarks Tekniske Universitet
Anisimov Aleksej Aleksandrovich, Saratov State University
Pavlova Olga Nikolaevna, Saratov State University

Changes in the dynamics of renal blood flow at the transition from the microscopic level of individual nephrons to the macroscopic level of the whole kidney are investigated. Rhythmic processes caused by the auto-regulatory mechanisms and their interactions in the form of synchronization and modulation are analyzed. Distinctions of the dynamics in the cases of normal and increased arterial pressure are discussed. 

Key words: 
  1. Yip KP, Holstein-Rathlou NH, and Marsh DJ. Mechanisms of temporal variation in single-nephron blood flow in rats. Am. J. Physiol. 1993;264(3):F427–F434. DOI: 10.1152/ajprenal.1993.264.3.f427.
  2. Daniels FH, Arendshorst WJ, Roberds RG. Tubuloglomerular feedback and autoregulation in spontaneously hypertensive rats. Am. J. Physiol. 1990;258(6):F1479–F489. DOI: 10.1152/ajprenal.1990.258.6.f1479.
  3. Moore LC. Tubuloglomerular feedback and SNGFR autoregulation in the rat. Am. J. Physiol. 1984;247(2):F267–F276. DOI: 10.1152/ajprenal.1984.247.2.f267.
  4. Leyssac PP and Baumbach L. An oscillating intratubular pressure response to alterations in Henle loop flow in the rat kidney. Acta Physiol. Scand. 1983;117(3):415–419. DOI: 10.1111/j.1748-1716.1983.tb00015.x.
  5. Leyssac PP and Holstein-Rathlou NH. Effects of various transport inhibitors on oscillating TGF pressure responses in the rat. Pfluegers Arch. 1986;407(3):285–291. DOI: 10.1007/bf00585304.
  6. Holstein-Rathlou NH and Leyssac PP. TGF-mediated oscillations in the proximal intratubular pressure: differences between spontaneously hypertensive rats and Wistar-Kyoto rats. Acta Physiol. Scand. 1986;126(3):333–339. DOI: 10.1111/j.1748-1716.1986.tb07824.x.
  7. Holstein-Rathlou NH and Marsh DJ. Oscillations of tubular pressure, flow, and distal chloride concentration in rats. Am. J. Physiol. 1989;256(6):F1007–F1014. DOI: 10.1152/ajprenal.1989.256.6.f1007.
  8. Jensen KS, Mosekilde E and Holstein-Rathlou NH. Self-sustained oscillations and chaotic behavior in kidney pressure regulation. Mondes en Developement. 1986;54(54–55):91–109.
  9. Yip KP, Holstein-Rathlou NH and Marsh DJ. Chaos in blood flow control in genetic and renovascular hypertensive rats. Am. J. Physiol. 1991;261(3):F400–F408. DOI: 10.1152/ajprenal.1991.261.3.f400.
  10. Peng H, Matchkov V, Ivarsen A, Aalkjaer C, Nilsson H. Hypothesis for the initiation of vasomotion. Circ. Res. 2001;88(8):810–815. DOI: 10.1161/hh0801.089603.
  11. Lamboley M, Schuster A, Beny JL, Meister JJ. Recruitment of smooth muscle cells and arterial vasomotion. Am. J. Physiol. 2003;285(2):H562–H569. DOI: 10.1152/ajpheart.00526.2002.
  12. Savineau JP and Marthan R. Cytosolic calcium oscillations in smooth muscle cells. News Physiol. Sci. 2000;15:50–55. DOI: 10.1152/physiologyonline.2000.15.1.50.
  13. Chon KH, Chen YM, Marmarelis VZ, Marsh DJ and Holstein-Rathlou NH. Detection of interactions between myogenic and TGF mechanisms using nonlinear analysis. Am. J. Physiol. 1994;267(1):F160–F173. DOI: 10.1152/ajprenal.1994.267.1.f160.
  14. Leyssac PP and Holstein-Rathlou NH. Tubulo-glomerular feedback response: enhancement in adult spontaneously hypertensive rats and effects of anaesthetics. Pfluegers Arch. 1989;413(3):267–272. DOI: 10.1007/bf00583540.
  15. Holstein-Rathlou NH and Marsh DJ. A dynamic model of the tubuloglomerular feedback mechanism. Am. J. Physiol. 1990;258(5):F1448–F1459. DOI: 10.1152/ajprenal.1990.258.5.f1448.
  16. Layton HE, Pitman EB and Moore LC. Limit-cycle oscillations and tubuloglomerular feedback regulation of distal sodium delivery. Am. J. Physiol. 2000;278(2):F287–F301. DOI: 10.1152/ajprenal.2000.278.2.f287.
  17. Sakai T, Hallman E and Marsh DJ. Frequency domain analysis of renal autoregulation in the rat. Am. J. Physiol. 1986;250(2):F364–F373. DOI: 10.1152/ajprenal.1986.250.2.f364.
  18. Holstein-Rathlou NH, Wagner AJ and Marsh DJ. Tubuloglomerular feedback dynamics and renal blood flow autoregulation in rats. Am. J. Physiol. 1991;260(1):F53–F68. DOI: 10.1152/ajprenal.1991.260.1.f53.
  19. Sosnovtseva OV, Pavlov AN, Mosekilde E and Holstein-Rathlou NH. Bimodal oscillations in nephron autoregulation. Phys. Rev. E. 2002;66(6):061909. DOI: 10.1103/PhysRevE.66.061909.
  20. Sosnovtseva OV, Pavlov AN, Mosekilde E, Yip KP, Holstein-Rathlou NH and Marsh DJ. Synchronization among mechanisms of renal autoregulation is reduced in hypertensive rats. Am. J. Physiol. 2007;293(5):F1545–F1555. DOI: 10.1152/ajprenal.00054.2007.
  21. Shi Y, Wang X, Chon KH and Cupples WA. Tubuloglomerular feedback-dependent modulation of renal myogenic autoregulation by nitric oxide. Am. J. Physiol. 2006;290(4):R982–R991. DOI: 10.1152/ajpregu.00346.2005.
  22. Daubechies I. Ten Lectures on Wavelets. SIAM; 1992. 350 p. DOI: 10.1137/1.9781611970104.
  23. Mallat S. A Wavelet Tour of Signal Processing. Academic Press; 1999. 805 p. DOI: 10.1016/B978-0-12-374370-1.X0001-8.
  24. Koronovskii A, Hramov A. Continuous Wavelet Analysis. Saratov: «College»; 2002. 176 p. (in Russian).
  25. Sosnovtseva OV, Pavlov AN, Mosekilde E, Holstein-Rathlou NH and Marsh DJ. Double-wavelet approach to study frequency and amplitude modulation in renal autoregulation. Phys. Rev. E. 2004;70(3):031915. DOI: 10.1103/PhysRevE.70.031915.
  26. Sosnovtseva OV, Pavlov AN, Brazhe NA, Brazhe AR, Erokhova LA, Maksimov GV, Mosekilde E. Interference microscopy under double-wavelet analysis: A new tool to studying cell dynamics. Phys. Rev. Lett. 2005;94(21):218103. DOI: 10.1103/PhysRevLett.94.218103.
  27. Marsh DJ, Sosnovtseva OV, Pavlov AN, Yip KP and Holstein-Rathlou NH. Frequency encoding in renal blood flow regulation. Am. J. Physiol. 2005;288(5):R1160–R1167. DOI: 10.1152/ajpregu.00540.2004.
  28. Sosnovtseva OV, Pavlov AN, Mosekilde E, Holstein-Rathlou NH and Marsh DJ. Double-wavelet approach to studying the modulation properties of nonstationary multimode dynamics. Physiol. Meas. 2005;26(4):351–362. DOI: 10.1088/0967-3334/26/4/002.
  29. Pavlov AN, Makarov VA, Mosekilde E, Sosnovtseva OV. Application of wavelet-based tools to study the dynamics of biological processes. Briefings in Bioinformatics. 2006;7(4):375–389. DOI: 10.1093/bib/bbl041.
  30. Kuramoto Y and Nakao H. Scaling properties in large assemblies of simple dynamical units driven by long-wave random forcing. Phys. Rev. Lett. 1997;78(21):4039–4042. DOI: 10.1103/PhysRevLett.78.4039.
  31. De Monte S, d’Ovidio F, Chate H and Mosekilde E. Effects of microscopic disorder on the collective dynamics of globally coupled maps. Physica D. 2005;205(1–4):25–40. DOI: 10.1016/j.physd.2005.04.020.
  32. Holden AV, Aslanidi OV, Benson AP, Clayton RH, Halley G, Li P and Tong WC. The virtual ventricular wall: A tool for exploring cardiac propagation and arrhythmogenesis. J. Biol. Phys. 2006;32(3–4):355–368. DOI: 10.1007/s10867-006-9020-1.
  33. Pikovsky A, Rosenblum M and Kurths J. Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge, UK: Cambridge University Press; 2001. 411 p. DOI: 10.1017/CBO9780511755743.
  34. Glass L and Mackey MC. From Clocks to Chaos: The Rhythms of Life. New Jersey, Princeton University Press; 1988. 272 p.
  35. Balanov A, Janson N, Postnov D, Sosnovtseva O. Synchronization: From Simple to Complex. Berlin, Heidelberg: Springer; 2007. 426 p. DOI: 10.1007/978-3-540-72128-4.
  36. Tass P, Rosenblum MG, Weule J, Kurths J, Pikovsky A, Volkmann J, Schnitzler A and Freund HJ. Detection of n : m phase locking from noisy data: application to magnetoencephalography. Phys. Rev. Lett. 1998;81(15):3291–3294. DOI: 10.1103/PhysRevLett.81.3291.
  37. Anishchenko VS, Vadivasova TE, Astakhov VV. Nonlinear Dynamics of Chaotic and Stochastic Systems. Saratov: Saratov University Publishing; 1999. 367 p. (in Russian).
  38. Anishchenko VS, Astakhov VV, Vadivasova TE, Neiman AB, Strelkova GI, Shimansky-Geier L. Nonlinear Effects in Chaotic and Stochastic Systems. Moscow; Izhevsk: Regular and Chaotic Dynamics; 2003. 511 p. (in Russian).
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