Abstract
The theory of dynamical systems allows one to describe the change in a system's macroscopic behavior as a bifurcation in the underlying dynamics. We show here, from the example of depressive syndrome, the existence of a correspondence between clinical and electro-physiological dimensions and the association between clinical remission and brain dynamics reorganization (i.e. bifurcation). On the basis of this experimental study, we discuss the interest of such results concerning the question of normality versus pathology in psychiatry and the relationship between mind and brain.
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REFERENCES
Abarbanel, H.I.D., R. Brown, J.J. Sidorowich and L.S. Tsimring (1993). The analysis of observed chaotic data in physical systems. Review of Modern Physics 65: 1331-1392.
Amit, D. (1989). Modelling brain functions. The world of attractor neural networks. Cambridge MA, Cambrige University Press.
Babloyantz, A. and A. Destexhe (1986). Low dimensional chaos in an instance of epilepsy. Proceedings of National Academy of Sciences. USA 83: 3513-3517.
Braitenberg, V. and A. Schüz (1991). Anatomy of the cortex. Statistics and geometry. Berlin, Springer-Verlag.
Canguilhem (1966). Le normal et le pathologique. Paris, Presses Universitaires de France.
Carlson-Sabelli, L, H.C. Sabelli, J. Zbilut, M. Patel, J. Messer, K. Walthall, C. Tom, P. Fink, A. Sugerman and A. Zdanovics (1994). How the heart informs about the brain: A process analysis of the electrocardiogram. In R. Trappl (Ed.) Cybernetics and systems-Proceedings European Meeting on Cybernetics and Systems research, Vienna, (Vol. 2: 1031-1038). Singapore: World Scientific.
Clark, A (1989). Microcognition, Philosophy, cognitive science, and parallel distributed processing. Cambridge MA, The MIT Press.
Claustrat, B., J. Brun, M. David, G. Sassolas, and G. Chazot (1992). Melatonin and Jet lag: confirmatory result using a simplified protocol. Biological Psychiatry 38(2): 705-711.
Devereux, G. (1977). Normal et Anormal. In Essai d'Ethnopsychiatrie Générale, Paris, Gallimard.
Foucault, M. (1954). Maladie mentale et psychologie, Paris, PUF, 1997.
Foucault, M. (1972). Histoire de la folie à l'âge classique, Paris, Gallimard.
Glass, L. and M.C. Mackey (1979). Pathological conditions resulting from instabilities in physiological control systems. Annals of NY Academy of Sciences 316: 214-235.
Globus, G.G. and J.P. Arpaïa (1994). Psychiatry and the new dynamics. Biological Psychiatry 35: 352-364.
Goldstein, K. (1933). L'analyse de l'aphasie et l'étude de l'essence du langage, Journal de Psychologie, p. 430.
Grassberger, P., T. Schreiber and C. Schaffracth (1991). Nonlinear time series analysis. International Journal of Bifurcation and Chaos 1: 521-547.
Guckenheimer, J. and Holmes (1986). Nonlinear oscillations, dynamical systems and bifurcations of vector fields. Springer New York.
Hoffmann, R.E. (1987). Computer simulations of neural information processing and the schizophrenia-mania dichotomy. Archives of General Psychiatry 44: 178-188.
Hollister, L.E., K.L. Davis and B.M. Davis (1980). Hormones in the treatment of psychiatric disorders. In: Kreiger and Huges, Eds. Neuro-endocrinology, Sunderland MA: Sinauer, pp. 167-175
Hopfield, J.J. (1982). Neural networks and physical systems with emergent collective computational abilities. Proceedings of National Academy of Sciences 79: 2554-2558.
Horowitz, M.J. (1987). States of mind: configurational analysis of individual psychology. New York: Plenum.
Kantz, H. and T. Schreiber (1997). Nonlinear time series analysis. Cambridge: Cambridge University Press.
Köhler, W. (1940). The dynamics in psychology. New York, Liveright.
Mackey, M.C. and L. Glass (1977). Oscillation and chaos in physiological control systems. Science 197: 287-289.
Mackey, M.C. and J.G. Milton (1987). Dynamical Disease. Annals of NY Academy of Sciences 504: 16-32.
Milton, J.G. and D. Black (1995). Dynamic diseases in neurology and psychiatry. Chaos 5: 8-13.
Nandrino, J.L., L. Pezard, J. Martinerie, F. El Massioui, B. Renault, R. Jouvent, J.-F. Allilaire and D. Widlöcher (1994). Decrease of complexity in EEG as a symptom of depression. NeuroReport 5: 528-530.
Nunez, P. L. (1990). Localization of brain activity with electroencephalography. In S. Sato (Ed.) Magnetoencephalography. Advances in Neurology Vol. 54 (pp. 39-65). New York: Raven Press.
Ott, E., T. Sauer and J.A. Yorke eds (1994). Coping with chaos-Analysis of chaotic data and the exploitation of chaotic systems. New-York, Wiley and Son.
Osborne, A.R. and A. Provenzale (1989). A finite correlation dimension for stochastic system with power-law spectra. Physica D 35: 357-381.
Petitot-Cocorda, J. (1992). Physique du sens. De la théorie des singularités aux structures sémio-narratives. Paris, Editions du CNRS.
Pezard, L., J.-L. Nandrino, B. Renault, F. El Massioui, J.-F. Allilaire, J. Müller, F.J. Varela and J. Martinerie (1996a). Depression as a dynamical disease. Biological Psychiatry 39: 991-999.
Pezard, L., J. Martinerie, J. Müller, F.J. Varela and B. Renault (1996b). Entropy quantification of human brain spatio-temporal dynamics. Physica D 96: 344-354.
Pezard, L., J. Martinerie, F. Breton, J.-C. Bourzeix and B. Renault (1994). Nonlinear forecasting measurements of multichannel EEG dynamics. Electroencephalography and Clinical Neurophysiology 91: 383-391.
Pijn, J.P., J. Van Neerven, A. Noest and F.H. Lopez Da Silva (1991). Chaos or noise in EEG signals: dependence on state and brain state. Electroencephalography and Clinical Neurophysiology 79: 371-381.
Prichard, D. and J. Theiler (1994). Generating surrogate data for time series with several simultaneous measured variables. Physical Review Letter 73: 951-954.
Rapp, P.E., A.M. Albano, T.I. Schmah and L.A. Farwell (1993): Filtered noise can mimic low dimensional chaotic attractors. Physical Review E 47: 2289-2297.
Rapp, P.E., T.R. Bashore, J.M. Martinerie, A.M. Albano, I.D. Zimmerman and A.I. Mees (1989). Dynamics of brain electrical activity. Brain Topography 2: 99-118.
Rechtman, R. and F. Raveau (1993). Fondements anthropologiques de l'ethnopsychiatrie, Encyclopédie Médico-Chirurgicale. Psychiatrie 37(715), A-10.
Sabelli, H.C. and L. Carlson-Sabelli (1993). Chaos theory in psychology and medecine: mathematical priority and psychological supremacy as theory, method and mission. The social Dynamicist 4(3): 1-4.
Searle, J. (1992). The rediscovery of mind. Cambridge Mass., The MIT Press Trad. fr. Tiercelin C, 1995, Paris, Gallimard.
Theiler, J., B. Galdrikian, A. Longtin, S. Eubank and J.D. Farmer (1992). Using surrogate data to detect nonlinearity in time series. In: Casdagli and Eubank editors. Nonlinear Modeling and Forecasting. Reading, M.A.: Addison-Wesley, pp. 163-188.
Thom, R. (1977). Stabilité Structurelle et Morphogenèse. Essai d'une théorie générale des modèles. Paris, InterEditions.
Thom, R. (1988). Esquisse d'une sémiophysique, Paris, InterEditions.
Von Zerssen D., D.M. Koeller and E.R. Rey (1970). Die Befindlichkeits Skala (BfS), ein einfaches Instrument zur Objectivierung von Befindlichkeitsstörungen, insbesondere im Rahmen von Längssmittuntersuchungen. Arzneim-Forsch 20: 915-918.
Varela, F.J., E. Thompson and E. Rosch (1991). The Embodied mind. MIT Press, Cambridge, London.
Wehr, T.A. and F.K. Goodwin (1979). Rapid cycling in manic-depressive induced by tricyclic antidepressant. Archives of General Psychiatry 36: 555-559.
Widlöcher, D. (1986). La Thérapeutique comme une contrainte. Etudes psychothérapeutiques 66: 247-251.
Zeeman, E.C. (1976). Brain Modelling. Springer Lecture Notes in Mathematics 525: 367-372.
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Thomasson, N., Pezard, L. Dynamical Systems and Depression: A Framework for Theoretical Perspectives. Acta Biotheor 47, 209–218 (1999). https://doi.org/10.1023/A:1002686604968
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DOI: https://doi.org/10.1023/A:1002686604968