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


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Sysoev I. V., Karavaev A. S., Nakonechnyj P. I. Role of model nonlinearity for granger causality based coupling estimation for pathological tremor. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 4, pp. 81-90. DOI: 10.18500/0869-6632-2010-18-4-81-90

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Russian
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Article
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530.182, 57.087.1

Role of model nonlinearity for granger causality based coupling estimation for pathological tremor

Autors: 
Sysoev Ilya Vyacheslavovich, Saratov State University
Karavaev Anatolij Sergeevich, Saratov State University
Nakonechnyj Pavel Igorevich, Saratov State University
Abstract: 

Estimating coupling between systems of different nature is an urgent field of nonlinear dynamics method application. This work aims to compare classical linear Granger approach and its nonlinear analogues based on analysis of ethalon dynamical systems and neurophysiological data. The results achieved show nonlinear approach to be more sensitive, and so it is able to detect significant coupling, when linear one fails.

Reference: 
  1. Fleishman AN. Heart rate variability and slow hemodynamic oscillations. Nonlinear phenomena in clinical practice. Novosibirsk: Siberian Branch of the Russian Academy of Sciences Publ,; 2009. 194 p. (in Russian).
  2. Baccala LA, Sameshima K, Ballester G, Do Valle AC, Timo-Laria C. Studing the interactions betweenbrain structures via directed coherence and Granger causality. Applied Sig. Processing. 1998;5:40–48.
  3. Nalatore H, Ding M, Rangarajan G. Mitigating the effects of measurement noise on Granger causality. Phys. Rev. E. 2007;75:031123. DOI: 10.1103/PhysRevE.75.031123.
  4. Feldman U, Bhattacharya J. Predictability improvement as an asymmetrical measure of interdependence in bivariate time series. Int. J. of Bifurcation and Chaos. 2004;14(2):505–514. DOI: 10.1142/S0218127404009314.
  5. Granger CWJ. Investigating causal relations by econometric models and cross-spectral methods. Econometrica. 1969;37(3):424–438. DOI: 10.2307/1912791.
  6. Chen Y, Rangarajan G, Feng J, Ding M. Analyzing multiple nonlinear time series with extended Granger causality. Physics Letters A. 2004;324(1):26–35. DOI: 10.1016/j.physleta.2004.02.032.
  7. Marinazzo D, Pellicoro M, Stramaglia S. Nonlinear parametric model for Granger causality of time series. Phys. Rev. E. 2006;73(6):066216. DOI: 10.1103/PhysRevE.73.066216.
  8. Ishiguro K, Otsu N, Lungarella M, Kuniyoshi Y. Comparison of nonlinear Granger causality extensions for low-dimensional systems. Phys. Rev. E. 2008;77:036217. DOI: 10.1103/PhysRevE.77.036217.
  9. Rosenblum MG, Pikovsky AS. Detecting direction of coupling in interacting oscillators. Phys. Rev. E. 2001;64:045202. DOI: 10.1103/PhysRevE.64.045202.
  10. Smirnov D, Bezruchko B. Estimation of interaction strength and direction from short and noisy time series. Phys. Rev. E. 2003;68:046209. DOI: 10.1103/PhysRevE.68.046209.
  11. Smirnov D, Barnikol UB, Barnikol TT, Bezruchko BP, Hauptmann C, Buehrle C, Maarouf M, Sturm V, Freund HJ, Tass PA. The generation of parkinsonian tremor as revealed by directional coupling analysis. Europhysics Letters. 2008;83(2):20003. DOI: 10.1209/0295-5075/83/20003.
  12. Dolan K, Neiman A. Surrogate analysis of coherent multichannel data. Phys. Rev. E. 2002;65(2):026108. DOI: 10.1103/PhysRevE.65.026108.
  13. Schreiber T, Schmitz A. Surrogate time series. Physica D. 2000;142:346–382. DOI: 10.1016/S0167-2789(00)00043-9.
  14. Hallett M. Overview of human tremor physiology. Movement Disorders. 1998;13(S3):43–48. DOI: 10.1002/mds.870131308.
  15. Wang S, Aziz T, Stein J, Liu X. Time-frequency analysis of transient neuromuscular events: dynamic changes in activity of the subthalamic nucleus and forearm muscles related to the intermittent resting tremor. J. Neurosci. Methods. 2005;145:151–158. DOI: 10.1016/j.jneumeth.2004.12.009.
  16. Timmer J, Haussler S, Lauk M, Lucking CH. Pathological tremor: deterministic chaos or nonlinear stochastic oscillators. Chaos. 2000;10(1):278–288. DOI: 10.1063/1.166494.
  17. Eichler M. Graphical modelling of dynamic relationships in multivariate time series. Handbook of Time Series Analysis. Ed. Winterhalder M, Schelter B, Timmer J. Berlin: Wiley-VCH. 2006:335–372.
  18. Toro C, Pascual-Leone A, Deuschl G, Tate E, Pranzatelli MR, Hallett M. Cortical tremor. A common manifestation of cortical myoclonus. Neurology. 1993;43(11):2346–2353. DOI: 10.1212/wnl.43.11.2346.
  19. Hellwig B, Hauler S, Schelter B, Lauk M, Guschlbauer B, Timmer J, Lucking CH. Tremor-correlated cortical activity in essential tremor. The Lancet. 2001;357:519–523. DOI: 10.1016/s0140-6736(00)04044-7.
Received: 
16.07.2010
Accepted: 
21.09.2010
Published: 
29.10.2010
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