Scaling properties in temporal patterns of schizophrenia

Physica A: Statistical Mechanics and its Applications

Volumn 230, Issue 3-4, 1996, Pages 544-553

  Dunki R M ^a   Ambuhl B ^b,c  

^a UNIVERSITY OF ZURICH   (Switzerland)

^b UNIVERSITY OF BERN   (Switzerland)

^c Cantonal Psychiatric Hospital   (Germany)

Author keywords

Intermittency; Power laws; Scale invariance; Schizophrenia; Temporal patterns

Indexed keywords

BIOMEDICAL ENGINEERING; FOURIER TRANSFORM INFRARED SPECTROSCOPY; FRACTALS; INVARIANCE; PATIENT TREATMENT; RISK ASSESSMENT; STATISTICAL METHODS;

INTERMITTENCY; POWER LAWS; SCALE INVARIANCE; SCALING PROPERTIES; SCHIZOPHRENIA; TEMPORAL PATTERNS;

PSYCHOPHYSIOLOGY;

EID: 0030243780     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/0378-4371(96)00097-0     Document Type: Article

References (24)

1. B.B. Mandelbrot, The Fractal Geometry of Nature (W.H. Freeman, San Francisco, 1982).
2. B. Ambühl, R.M. Dünki and L. Ciompi, Dynamical Systems and the Development of Schizophrenic Symptoms - an approach to a formalization, in: Self-Organization and Clinical Psychology, Vol. 58, eds. Tschacher, Schiepek and Brunner, Springer Series in Synergetics (Springer, Berlin, 1992) pp. 195-203.
3. I. Procaccia, and H.G. Schuster, Functional Renormalization-group theory of universal 1/f noise in dynamical systems, Phys. Rev. A28 (1983) 1210-1212.
4. M. Warden, Deterministic Origin of 1/f noise in magnetic resonance, Phys. Rev. E48 (1993) R639-R642.
5. H.G. Schuster, Deterministic Chaos, 2nd ed. (VCH-Publishers, Weinheim (Germany), 1989).
6. B.B Mandelbrot, Formes nouvelles du hasard dans les sciences. Economie appliquée 26 (1973) 307-319.
7. B.B. Mandelbrot and J.R. Wallis, Noah, Joseph and operational hydrology, Water Resources Res. 4 (1968) 909-918.
8. B.B. Mandelbrot and J.R. van Ness, Fractional brownian motions, fractional noises and applications, SIAM Rev. 10 (1968) 422-437.
9. D.R. Morse, Fractal Dimension of Vegetation and the Distribution of arthropod body lengths, Nature 314 (1985) 731-733.
10. C.-K. Peng, S.V. Buldyrev, S. Goldberger, S. Havlin, F. Sciortino, M. Simons and H.E. Stanley, Long-range correlations in nucleotide sequences. Nature 356 (1992) 168-170.
11. R. Voss, Evolution of long range fractal correlations and 1/f noise in DNA base sequences, Phys. Rev. Lett. 68 (1992) 3805-3808.
12. C.-K. Peng, J.E. Mietus, J.M. Hausdorff S. Havlin, H.E. Stanley and A.L. Goldberger Long-range anticorrelations and non-gaussian behaviour of the heartbeat, Phys. Rev. Lett. 70 (1993) 1343-1346.
13. B. Suki, A.-L. Barabasi, Z. Hantos F. Peták, H.E. Stanley, Avalanches and power-law behaviour in lung inflation, Nature 368 (1994) 615-618.
14. A. Bunde and S. Havlin ed., Fractals in Science (Springer, Berlin, 1994).
15. E. Canessa, and A. Calmetta, Physics of a random biological process, Phys. Rev. E50 (1994) R47-R49.
16. K.-D. Kniffki, W. Mandel, P. Tran-Gia, Temporal Fluctuations in Biorythms: Expression of self-organized criticality, Fractals 1 (1993) 380-387.
17. L. Ciompi and C. Müller, Lebensweg und Alter der Schizophrenen. Eine katamnestische Langzeitstudie (Springer, Berlin, 1976).
18. L. Ciompi and B. Ambühl and R.M. Dünki, Schizophrenie und Chaostheorie, System Familie 5 (1992) 133-147.
19. E. Aebi K. Ackermann and D. Revenstorf, Ein Konzept der sozialen Unterstuetzung fuer akut Schizophrene. Zeitreihenanalysen taeglicher Fluktuationen psychotischer Merkmale, Zeitschr. f. Klin. Psychol. Psychopath. Psychother. 41 (1993) 18-30.
20. P.D. Welch, The use of fast fourier transform for the estimation of power spectra: a method based on time averaging over short modified periodograms. IEEE Trans. Audio Elect. 15 (1967) 70-73.
21. M.B. Priestley, Spectral Analysis and Time Series, 6th ed.. (Academic Press, London, 1989).
22. L. Ciompi, personal communication, 1992.
23. J. Angst, and C. Scharfetter and H.H. Stassen, Classification of schizo-affective patients by multidimensional scaling and cluster analysis, Psychiatrica Clinica 16 (1983) 254-264.
24. Y. Pomeau and P. Manneville. Intermittent Transition to Turbulence in Dissipative Dynamical Systems, Commun. Math. Phys. 74 (1980) 189-197.