Abstract
Tremors (involuntary shaking) were compared in healthy subjects and patients with the tremulous form of Parkinsonism sustaining isometric effort of the hand. For this purpose, fractal analysis and multilevel wavelet decomposition of tremor were used, and the energy characteristics determined on the basis of the spectral density of the energy of detailed components obtained at different levels of decomposition. The calculated fractal and energy characteristics of the tremor of healthy subjects were significantly lower than those of patients. If the patients took antiparkinsonian drugs at their usual doses, the characteristics shifted towards normal values. The decrease in the fractal dimension indicates an increase in the strength of the correlation in the dynamics of involuntary shaking. Thus, the characteristics studied allow not only physiological and pathological tremors to be discriminated, but also the strategy of selection of optimal drugs for relieving Parkinsonian tremor to be developed.
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McAuley, J.H. and Marsden, C.D., Physiological and Pathological Tremors and Rhythmic Central Motor Control, Brain, 2000, vol. 123, no. 8, p. 1545.
Orizio, C., Perini, R., Diemont, B., et al., Spectral Analysis of Muscular Sound during Isometric Contraction of Biceps Brachii, J. Appl. Physiol., 1990, vol. 68, p. 508.
Marsden, C.D, Origins of Normal and Pathological Tremor, in Movement Disorders: Tremor, Findley, L.J. and Capildeo, R., Eds., London: MacMillan, 1984, p. 37.
Vallbo, A.B. and Wessberg, J., Organization of Motor Output in Slow Finger Movements in Man, J. Physiol., 1993, vol. 469, p. 673.
Farmer, S.F., Swash, M., Ingram, D.A., and Stephens, J.A., Changes in Motor Unit Synchronization Following Central Nervous Lesions in Man, J. Physiol., 1993, vol. 463, p. 83.
Elble, R., Physiologic and Essential Tremor, Neurology, 1986, vol. 36, p. 225.
Grillner, S., The Motor Infrastructure: From Ion Channels to Neuronal Networks, Nature Rev. Neurosci., 2003, vol. 4, p. 573.
McAuley, J.H., Rothwell, J.C., and Marsden, C.D., Frequency Peaks of Tremor, Muscle Vibration and Electromyographic Activity at 10 Hz, 20 Hz and 40 Hz during Human Finger Muscle Contraction May Reflect Rhythmicities of Central Neural Firing, Exp. Brain Res., 1997, vol. 114, p. 525.
Van Galen, G.P., Van Doorn, R.R., and Schomaker, L.R., Effects of Motor Programming on the Power Spectral Density Function of Finger and Wrist Movements, J. Exp. Psychol., 1990, vol. 16, no. 4, p. 755.
Nini, A., Feingold, A., Slovin, H., and Bergman, H., Neurons in the Globus Pallidus Do not Show Correlated Activity in the Normal Monkey, but Phase-Locked Oscillations Appear in the MPTP Model of Parkinsonism, J. Neurophysiol., 1995, vol. 74, no. 4, p. 1800.
Brown, P., Corcos, D.M., and Rothwell, J.C., Does Parkinsonian Action Tremor Contribute to Muscle Weakness in Parkinson’s Disease?, Brain, 1997, vol. 120, p. 401.
McAuley, J.H., Rothwell, J.C., Corcos, D.M., and Quinn, N.P., Levodopa Reversible Loss of Piper Rhythm in Parkinson’s Disease, J. Neurol. Neurosurg. Psychiatry, 2001, vol. 70, p. 471.
Romanov, S.P., Aleksanyan, Z.A, and Manoilov, V.V., Characteristics of Tremor in the Normal State and in Diagnosis and Treatment of Parkinsonism, Ross. Fiziol. Zh., 2002, vol. 88, no. 10, p. 1356.
Mallat, S., A Wavelet Tour of signal Processing, New York: Academic, 1999, 2nd edition.
Musalimov, V.M., Dick, O.E., and Tyurin, A.E., Action Parameters of the Energy Spectrum of Wavelet Transforms, Izv. Vyssh. Uchebn. Zaved. Priborostroenie, 2009, vol. 52, no. 5, p. 10.
Mandelbrot, B.B., The Fractal Geometry of Nature, San Francisco: W.H. Freeman, 1982.
Peng, C.K., Havlin, S., Stanley, H.E., and Goldberger, A.L., Quantification of Scaling Exponents and Crossover Phenomena in Nonstationary Heartbeat Time Series, Chaos, 1995, vol. 5, no. 1, p. 82.
Bedrov, Ya.A., Dick, O.E., Romanov, S.P., and Nozdrachev, A.D., The Method of Detection of Quantitative Differences in the Parameters of Oscillations of Involuntary Effort in Healthy Subjects and Patients with Parkinsonism, Byull. Eksp. Biol. Med., 2008, vol. 146, p. 477.
Scafetta, N., Moon, R.E., and West, B.J., Fractal Response of Physiological Signals to Stress Conditions, Environmental Changes, and Neurodegenerative Diseases, Complexity, 2007, vol. 12, no. 5, p. 12.
Sekine, M., Tamura, T., Akay, M., et al., Discrimination of Walking Patterns Using Wavelet-Based Fractal Analysis, Neur. Syst. Rehab. Eng. IEEE Trans., 2002, vol. 10, no. 3, p. 188.
Gates, D.H. and Dingwell, J.B., Peripheral Neuropathy Does not Alter the Fractal Dynamics of Stride Intervals of Gait, J. Appl. Physiol., 2007, vol. 102, no. 3, p. 965.
Rasouli, G., Rasouli, M., Lenz, F.A., et al., Fractal Characteristics of Human Parkinsonian Neuronal Spike Trains, Neuroscience, 2006, vol. 139, no. 3, p. 1153.
Varanda, W.A., Liebovitch, L.S., Figueroa, J.N., and Nogueira, R.A., Hurst Analysis Applied to the Study of Single Calcium-Activated Potassium Channel Kinetics, J. Theor. Biol., 2000, vol. 206, no. 3, p. 343.
Brazhe, A.R., Astaf’ev, M.E., Maksimov, G.V., et al., Calculation of Local Hurst Exponents for Calcium-Activated Potassium Channels, Biofizika, 2004, vol. 46, no. 6, p. 1075.
Lowen, S.B., Liebovitch, L.S., and White, J.A., Fractal Ion-Channel Behaviour Generates Fractal Firing Patterns in Neuronal Models, Phys. Rev. E., 1999, vol. 59, no. 5, p. 5970.
Brazhe, A.R. and Maksimov, G.V., Self-Organized Critical Gating of Ion Channels: On the Origin of Long-Term Memory in Dwell Time Series, Chaos, 2006, vol. 16, no. 3, p. 33129.
Manabe, Y., Honda, E., Shiro, Y., et al., Fractal Dimension Analysis of Static Stabilometry in Parkinson’s Disease and Spinocerebellar Ataxia, Neurol. Res., 2001, vol. 23, p. 397.
Sekine, M., Akay, M., Tamura, T., et al., Fractal Dynamics of Body Motion in Patients with Parkinson’s Disease, J. Neur. Eng., 2004, vol. 1, p. 8.
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Original Russian Text © O.E. Dick, S.P. Romanov, A.D. Nozdrachev, 2010, published in Fiziologiya Cheloveka, 2010, Vol. 36, No. 2, pp. 92–100.
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Dick, O.E., Romanov, S.P. & Nozdrachev, A.D. Energy and fractal characteristics of physiological and pathological tremors of the human hand. Hum Physiol 36, 203–210 (2010). https://doi.org/10.1134/S036211971002012X
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DOI: https://doi.org/10.1134/S036211971002012X