Application of wavelet-based tools to study the dynamics of biological processes

Briefings in Bioinformatics

Volumn 7, Issue 4, 2006, Pages 375-389

  Pavlov, Alexey N ^a   Makarov, Valeri A ^b   Mosekilde, Erik ^b   Sosnovtseva, Olga V ^b  

^a SARATOV STATE UNIVERSITY   (Russian Federation)

^b NONE

Author keywords

Data analysis; Double wavelet approach; Information processing; Interaction phenomena; Rhythmic activity

Indexed keywords

ARTICLE; AUTOREGULATION; BIOINFORMATICS; CELL INTERACTION; CENTRAL NERVOUS SYSTEM FUNCTION; DATA ANALYSIS; FEEDBACK SYSTEM; FREQUENCY ANALYSIS; FREQUENCY MODULATION; INFORMATION PROCESSING; MATHEMATICAL COMPUTING; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; NEPHRON; NONHUMAN; SENSORY NERVE CELL; SYSTEMS BIOLOGY; TIME SERIES ANALYSIS; TRIGEMINAL NERVE; WAVEFORM;

ANIMALS; COMPUTER SIMULATION; HYPERTENSION; MATHEMATICAL COMPUTING; METABOLIC NETWORKS AND PATHWAYS; MICROSCOPY, INTERFERENCE; NEPHRONS; NEURONS; OSCILLOMETRY; RATS; RATS, INBRED SHR; SIGNAL PROCESSING, COMPUTER-ASSISTED; SNAILS; SOFTWARE; TRIGEMINAL NUCLEI;

GASTROPODA;

EID: 33845431212     PISSN: 14675463     EISSN: 14774054     Source Type: Journal    
DOI: 10.1093/bib/bbl041     Document Type: Article

References (40)

1. Hesch RD. Endokrinologie - Teil A, München: Urban and Schwarzenberg, 1989.
2. Glass L, Mackey MC. From Clocks to Chaos: The Rhythms of Life. Princeton: Princeton University Press, 1988.
3. Goldbeter A. (ed). Cell to Cell Signalling: From Experiments toTheoreticalModels. London: Academic Press, 1989.
4. Gray CM, König P, Engel AK, et al. Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature 1989;388:334-7.
5. Stern EA, Jaeger D, Wilson CJ. Membrane potential synchrony of simultaneously recorded striatal spiny neurons in vivo. Nature 1998;394:475-8.
6. Sosnovtseva OV, Pavlov AN, Brazhe NA, et al. Interference microscopy under double-wavelet analysis: A new tool to studying cell dynamics. Phys Rev Let 2005;94:218103.
7. Mosekilde E. Topics in Nonlinear Dynamics: Applications to Physics, Biology and Economic Systems. Singapore: World Scientific, 1996.
8. Grossman A, Morlet J. Decomposition of hardy functions into square integrable wavelets of constant shape. SIAM J Math Anal 1984;15:723-36.
9. Daubechies I. Ten Lectures on Wavelets. Philadelphia: SIAM, 1992.
10. Meyer Y. (ed). Wavelets and Applications. Berlin: Springer-Verlag, 1992.
11. Chui CK. An Introduction to Wavelets. New York: Academic Press, 1992.
12. Mallat SG. A Wavelet Tour of Signal Processing. San Diego: Academic Press, 1998.
13. Kantz H, Schreiber T. Nonlinear Time Series Analysis. Cambridge: Cambridge University Press, 2004.
14. Gabor D. Theory of communication. J IEE 1946;93:429-57.
15. Peng C-K, Havlin S, Stanley HE, et al. Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos 1995;5:82-87.
16. Muzy JF, Bacry E, Arneodo A. The multifractal formalism revisited with wavelets. Int J Bifurcation Chaos 1994;4:245-302.
17. Kaiser G. A Friendly Guide to Wavelets. Boston: Birkháuser, 1994.
18. Tuckwell HC. Introduction to Theoretical Neurobiology. Cambridge: Cambridge University Press, 1988, Vol. 1,2.
19. Arvidsson J. Somatotopic organization of vibrissae afferents in the trigeminal sensory nuclei of the rat studied by transganglionic transport of HRP. J Comp Neurol 2004;211:84-92.
20. Darian-Smith I. The trigeminal system. In: Iggo A, (ed). Handbook of Sensory Physiology. Berlin: Springer-Verlag, 1973;271-315.
21. Jacquin MF, Renehan WE, Rhoades RW, et al. Morphology and topography of identified primary afferents in trigeminal subnuclei principalis and oralis. J Neurophysiol 1993;70:1911-36.
22. Moreno A, Garcia-Gonzalez V, Sanchez-Jimenez A, et al. Principalis, oralis and interpolaris responses to whisker movements provoked by air jets in rats. Neuroreport 2005;16:1569-73.
23. Tychinskii VP. Coherent phase microscopy of intracellular processes. PhysUspekhi 2001;44:683-96.
24. Straub VA, Benjamin PR. Extrinsic modulation and motor pattern generation in a feeding network: A cellular study. J Neurosci 2001;21:1767-78.
25. Adison PS, Watson JN. Secondary transform decoupling of shifted nonstationary signal modulation components: Application to photoplethysmography. Int J Wavelets Multi Inform Process 2004;2:43-57.
26. Sosnovtseva OV, Pavlov AN, Mosekilde E, et al. Double-wavelet approach to study frequency and amplitude modulation in renal autoregulation. Phys Rev E 2004;70:031915.
27. Marsh DJ, Sosnovtseva OV, Pavlov AN, et al. Frequency encoding in renal blood flow regulation. Am J Physiol Regul Integr Comp Physiol 2005;288:R1160-7.
28. Sosnovtseva OV, Pavlov AN, Mosekilde E, et al. Double-wavelet approach to studying the modulation properties of nonstationary multimode dynamics. Physiol Measur 2005;26:351-62.
29. Brazhe NA, Brazhe AR, Pavlov AN, et al. Unraveling cell processes: Interference imaging weaved with data analysis. J Biol Phys 2006 (in press).
30. + channels. Chin J Physiol 2006;49:1-13.
31. O'Connell K, Martens JR, Tamkun MM. Localization of ion channels to lipid raft domains within the cardiovascular system. Trends Cardiovas Med 2004;14:37-42.
32. Szucs A, Molnar G, Rozsa K. Periodic and oscillatory firing patterns in identified nerve cells of Lymnaea Stagnalis L. Acta Biol Hung 1999;50:269-78.
33. Schutt A, Bullock TH, Basar E. Odor input generates 1.5 Hz and 3Hz spectral peaks in the Helix pedal ganglion. Brain Res 2000;879:73-87.
34. Peixoto N, Ramirez FJ, Javier F. Helix aspersa identified neurons on multielectrode-array: Electrical stimulation and recording. Forum of Eur Neurosci Soc-FENS2000, Brighton, UK, 155.
35. Holstein-Rathlou N-H, Leyssac PP. TGF-mediated oscillations in the proximal intratubular pressure: Differences between spontaneously hypertensive rats and Wistar-Kyoto rats. Acta Physiol Scand 1986;126:333-9.
36. Leyssac PP, Holstein-Rathlou N-H. Effects of various transport inhibitors on oscillating TGF pressure response in the rat. Pflügers Arch 1986;407:285-91.
37. Holstein-Rathlou N-H, Marsh DJ. Renal blood flow regulation and arterial pressure fluctuations: A case study in nonlinear dynamics. Physiol Rev 1994;74:637-81.
38. Sosnovtseva OV, Pavlov AN, Mosekilde E, et al. Bimodal oscillations in nephron autoregulation. Phys Rev E 2002;66:061909.
39. Holstein-Rathlou N-H, Yip K-P, Sosnovtseva OV, et al. Synchronization phenomena in nephron-nephron interaction. Chaos 2001;11:417-26.
40. Chon KH, Chen YM, Marmarelis VZ, et al. Detection of interactions between myogenic and TGF mechanisms using nonlinear analysis. Am J Physiol Renal Physiol 1994;267:F160-73.