Non-linear dynamical analysis of the EEG in Alzheimer's disease with optimal embedding dimension

Electroencephalography and Clinical Neurophysiology

Volumn 106, Issue 3, 1998, Pages 220-228

  Jeong, Jaeseung ^a   Kim, Soo Yong ^a   Han, Seol Heui ^b  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

^b Chungbuk National University Hospital   (South Korea)

Author keywords

Alzheimer's disease; Chaos; Correlation dimension; Lyapunov exponent; Quantitative EEG

Indexed keywords

ADULT; AGED; ALGORITHM; ALZHEIMER DISEASE; ARTICLE; CLINICAL ARTICLE; COMPARATIVE STUDY; CONTROLLED STUDY; ELECTROENCEPHALOGRAPHY; FEMALE; HUMAN; MALE; NONLINEAR SYSTEM; PRIORITY JOURNAL;

AGED; ALGORITHMS; ALZHEIMER DISEASE; ELECTROENCEPHALOGRAPHY; FEMALE; HUMANS; MALE; MIDDLE AGED; NONLINEAR DYNAMICS;

EID: 0345164405     PISSN: 00134694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0013-4694(97)00079-5     Document Type: Article

References (41)

1. Babloyantz, A. Chaotic dynamics in brain activity. In: E. Basar (Ed.), Dynamics of Sensory and Cognitive Processing by the Brain. Springer, Berlin, 1988, pp. 196-202.
2. Babloyantz A., Destexhe A. Low dimensional chaos in an instance of epilepsy. Proc. Natl. Acad. Sci. USA. 83:1986;3513-3517.
3. Babloyantz, A. and Destexhe, A. The Creutzfeld-Jacob disease in the hierarchy of chaotic attractor. In: M. Markus, S. Muller and G. Nicolis (Eds.), From Chemical to Biological Organization. Springer, Berlin, 1987, pp. 307-316.
4. Babloyantz A., Salazar J.M., Nicolis C. Evidence of chaotic dynamics of brain activity during the sleep cycle. Phys. Lett. IIIA:1985;152-156.
5. Besthorn C., Sattel H., Geiger-Kabisch C., Zerfass R., Forstl H. Parameters of EEG dimensional complexity in Alzheimer's disease. Electroenceph. clin. Neurophysiol. 95:1995;84-89.
6. Bloom, F.E. and Lazerson, A. Brain, Mind and Behavior. Freeman, New York, 1988, pp. 185-190.
7. Dvořak I., Klaschka J. Modification of the Grassberger-Procaccia algorithm for estimating the correlation exponent of chaotic systems with high embedding dimension. Phys. Lett. A. 145(5):1990;225-231.
8. Eckmann J.P., Ruelle D. Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57(3, Part I):1985;617-656.
9. Eckmann J.P., Ruelle D. Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems. Physica D. 56:1992;185-187.
10. Fell J., Röschke J., Beckmann P. The calculation of the first positive Lyapunov exponent in sleep EEG data. Electroenceph. clin. Neurophysiol. 86:1993;348-357.
11. Fell J., Röschke J., Beckmann P. Non-linear analysis of sleep EEG data in schizophrenia: calculation of the principal Lyapunov exponent. Psychiatr. Res. 56:1995;257-269.
12. Folstein M.F., Folstein S.E., McHugh P.R. 'Mini-Mental State': a practical method for grading the cognitive state of patients for the clinician. J. Psychiatr. Res. 12:1985;189-198.
13. Frank G.W., Lookman T., Nerenberg M.A.H., Essex C. Chaotic time series analysis of epileptic seizures. Physica D. 46:1990;427-438.
14. Fraser A.M., Swinney H.L. Independent coordinates for strange attractors from mutual information. Phys. Rev. A. 33(2):1986;1134-1140.
15. Grassberger P., Procaccia I. Measuring the strangeness of strange attractors. Physica D. 9:1983;189-208.
16. Hamilton M. A rating scale for depression. J. Neurol. Neurosurg. Psychiatr. 23:1960;56-62.
17. Kennel M.B., Brown R., Abarbanel H.D.I. Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys. Rev. A. 45:1992;3403-3411.
18. Kwon Y.C., Park J.-H. Korean version of mini-mental state examination (MMSE-K). Part I: development of the test for the elderly. J. Korean Neuropsychiatr. Assoc. 28:1986;125-135.
19. McKhann G., Drachman D., Folstein M., Katzman R., Price D., Stadlan E.M. Clinical diagnosis of Alzheimer's disease. Report of the NINDS-ADRDA work group under the auspices of Department of Health and Human Services Task Force on Alzheimer's disease. Neurology. 34:1984;939-944.
20. Osborne A.R., Provenzale A. Finite correlation dimension for stochastic systems with power-law spectra. Physica D. 35:1989;357-381.
21. Principe, J.C. and Lo, P.C. Towards the determination of the largest Lyapunov exponent of EEG segments. In: D.W. Duke and W.S. Pritchard (Eds.), Proceedings of the Conference on Measuring Chaos in the Human Brain. World Scientific, Singapore, 1991, pp. 156-166.
22. Pritchard W.S., Duke D.W., Coburn K.L. Altered EEG dynamical responsivity associated with normal aging and probable Alzheimer's disease. Dementia. 2:1991;102-105.
23. Pritchard, W.S., Duke, D.W., Coburn, K.L., Moore, N.C. and Tucker, K.A. Altered EEG dynamical responsivity associated with Alzheimer's disease: replication and extension. In: B.H. Jansen and M.E. Brandt (Eds.), Proceedings of the Second Annual Conference on Nonlinear Dynamical Analysis of the EEG. World Scientific, Singapore, 1993, pp. 165-168.
24. Pritchard W.S., Duke D.W., Coburn K.L., Moore N.C., Tucker K.A., Jann M.W., Hostetler R.M. EEG-based, neural-net predictive classification of Alzheimer's disease versus control subjects is augmented by non-linear EEG measures. Electroenceph. clin. Neurophysiol. 91:1994;118-130.
25. Pritchard W.S., Duke D.W., Krieble K.K. Dimensional analysis of resting human EEG. II: Surrogate data testing indicates nonlinearity but not low-dimensional chaos. Psychophysiology. 32:1995;486-491.
26. Rapp P.E. Chaos in the neurosciences: cautionary tales from the frontier. Biologist. 40:1993;89-94.
27. Rapp, P.E., Zimmerman, I.D., Albano, A.M., deGuzman, G.C., Greenbaun, N.N. and Bashore, T.R. Experimental studies of chaotic neural behavior: cellular activity and electroencephalographic signals. In: H.G. Othmer (Ed.), Nonlinear Oscillations in Biology and Chemistry, Lecture Notes in Biomathematics. Springer-Verlag, Berlin, 1985, pp. 175-205.
28. Rapp P.E., Albano A.M., Schmah T.I., Farwell L.A. Filtered noise can mimic low-dimensional chaotic attractors. Phys. Rev. E. 47:1993;2289-2297.
29. Ravelli F., Antolini R. Complex dynamics underlying the human electroencephalogram. Biol. Cybern. 67:1992;57-65.
30. Rosen W.G., Terry R.D., Flud P.A., Katzman R., Beck A. Pathological verification of ischemic score in differentiation of dementias. Ann. Neurol. 17:1980;486-488.
31. Röschke J., Aldenhoff J. The dimensionality of the human's electroencephalogram during sleep. Biol. Cybern. 64:1991;307-313.
32. Röschke, J. and Basar, E. The EEG is not a simple noise: strange attractors in intracranial structures. In: E. Baaar (Ed.), Dynamics of Sensory and Cognitive Processing by the Brain. Springer, Berlin, 1988, pp. 203-216.
33. Smith L.A. Intrinsic limits on dimension calculation. Phys. Lett. A. 133(6):1988;283-288.
34. Soong A.C.K., Stuart C.I.J.M. Evidence of chaotic dynamics underlying the human alpha-rhythm electroencephalogram. Biol. Cybern. 62:1989;55-62.
35. Stam C.J., Tavy D.L.J., Jelles B., Achtereekte H.A.M., Slaets J.P.J., Keunen R.W.M. Nonlinear dynamical analysis of multi-channel EEG data: clinical applications in dementia and Parkinson's disease. Brain Topogr. 7:1994;141-150.
36. Stam C.J., Jelles B., Achtereekte H.A.M., Rombouts S.A.R.B., Slaets J.P.J., Keunen R.W.M. Investigation of EEG nonlinearity in dementia and Parkinson's disease. Electroenceph. clin. Neurophysiol. 95:1995;309-317.
37. Stam C.J., Jelles B., Achtereekte H.A.M., Birgelen J.H. van and Slaets, J.P.J. Diagnostic usefulness of linear and nonlinear quantitative EEG analysis in Alzheimer's disease. Clin. Electroencephalogr. 27:1996;69-77.
38. Takens, F. Detecting strange attractors in turbulence in dynamical systems and turbulence. Lecture Notes in Mathematics, 898. Springer, Berlin, 1981, pp. 366-381.
39. Theiler J. Spurious dimension from correlation algorithm applied to limited time-series data. Phys. Rev. A. 34(3):1986;2427-2432.
40. Theiler J., Eubank S., Longtin A., Galdrikian B., Farmer J.D. Testing for nonlinearity in times series: the method of surrogate data. Physica D. 58:1992;77-94.
41. Wolf A., Swift J.B., Swinney H.L., Vastano J.A. Deterministic Lyapunov exponents from a time series. Physica D. 16:1985;285-317.