Noisy precursors of bifurcations in a neurodynamical model for disease states of mood disorders

Neurocomputing

Volumn 32-33, Issue , 2000, Pages 823-831

  Huber, M T ^a   Krieg, J C ^a   Braun, H A ^a   Pei, X ^b   Neiman, A ^b   Moss, F ^b  

^a PHILIPPS UNIVERSITY MARBURG   (Germany)

^b UNIVERSITY OF MISSOURI ST LOUIS   (United States)

Author keywords

Affective disorders; Computational model; Noisy precursors; Nonlinear dynamics; Stochastic dynamics

Indexed keywords

ALGORITHMS; BIFURCATION (MATHEMATICS); BIOMECHANICS; COMPUTER SIMULATION; DATA REDUCTION; DIFFERENTIAL EQUATIONS; DISEASES; MEDICAL COMPUTING;

AFFECTIVE DISORDERS; NEURODYNAMICAL MODEL; NOISY PRECURSORS; NONLINEAR DYNAMICS; STOCHASTIC DYNAMICS;

NEUROLOGY;

AFFECTIVE NEUROSIS; ALGORITHM; ARTICLE; CONTROLLED STUDY; DISEASE COURSE; DISEASE SIMULATION; MATHEMATICAL MODEL; NEUROBIOLOGY; NOISE; NONLINEAR SYSTEM; PRIORITY JOURNAL; TIME;

EID: 0033940007     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0925-2312(00)00250-2     Document Type: Article

References (22)

1. Braun H.A., Schäfer K., Voigt K., Peters R., Bretschneider F., Pei X., Wilkens L., Moss F. Low-dimensional dynamics in sensory biology 1. thermally sensitive electroreceptors of the catfish J. Comput. Neurosci. 4:1998;335-347.
2. Braun H.A., Huber M.T., Dewald M., Schäfer K., Voigt K. Computer simulations of neuronal signal transduction. the role of nonlinear dynamics and noise Int. J. Bifurc. Chaos. 8:1998;881-889.
3. Braun H.A., Schäfer K., Voigt K., Peters R., Bretschneider F., Pei X., Moss F. Low-dimensional dynamics in sensory biology 2: facial cold receptors of rat. J. Comput. Neurosci. 7:2000;17-32.
4. Braun H.A., Dewald M., Voigt K., Huber M.T., Pei X., Moss F. Finding unstable periodic orbits in electroreceptors, cold receptors and hypothalamic neurons. Neurocomputing. 26:1999;79-86.
5. Bulsara A., Gammaitoni L. Tuning in to noise. Phys. Today. 1996;39-45.
6. Ehlers C.L., Havstad J., Prichard D., Theiler J. Low doses of ethanol reduce evidence for nonlinear structure in brain activity. J. Neurosci. 18:1998;7474-7486.
7. Fox R.F., Gatland I.R., Roy R., Vemuri G. Fast, accurate algorithm for numerical simulation of exponentially correlated colored noise. Phys. Rev. A. 38:1988;5938-5940.
8. Gammaitoni L., Hanggi P., Jung P., Marchesoni F. Stochastic resonance. Rev. Mod. Phys. 70:1998;223-288.
9. Gottschalk A., Bauer M.S., Whybrow P.C. Evidence of chaotic mood variation in bipolar disorder. Arch. Gen. Psychiatry. 52:1995;947-959.
10. Huber M.T., Braun H.A., Krieg J.C. Consequences of deterministic and random dynamics for the course of affective disorders. Biol. Psychiatry. 46:1999;256-262.
11. M.T. Huber, H.A. Braun, J.C. Krieg, Noise, nonlinear dynamics and the timecourse of affective disorders, Chaos, Solitons Fractals (2000), in press.
12. Huber M.T., Braun H.A., Krieg J.C. Effects of noise on different disease states of recurrent affective disorders. Biol. Psychiatry. 47:2000;634-642.
13. Huber M.T., Braun H.A., Voigt K., Krieg J.C. Computational properties of intrinsic subthreshold oscillations. possible implications for function and dysfunction Bower J. Computational Neuroscience. Trends in Research 1998:1998;197-202 Plenum Press, New York.
14. Huber M.T., Krieg J.C., Dewald M., Voigt K., Braun H.A. Stimulus sensitivity and neuromodulatory properties of noisy intrinsic neuronal oscillators. Biosystems. 48:1998;95-104.
15. Kramlinger K.G., Post R.M. Ultra-rapid and ultradian cycling in bipolar affective illness. Br. J. Psychiatry. 168:1996;314-323.
16. Neimann A., Saparin P.I., Stone L. Coherence resonance at noisy precursors of bifurcations n nonlinear dynamical systems. Phys. Rev. E. 56:1997;270-273.
17. Pei X., Moss F. Characterization of low dimensional dynamics in the crayfish caudal photoreceptor. Nature. 379:1996;618-621.
18. Pierson D., Moss F. Detecting periodic unstable points in noisy chaotic and limit cycle attractors with applications to biology. Phys. Rev. Lett. 75:1995;2124-2127.
19. Post R.M. Transduction of psychological stress into the neurobiology of recurrent affective disorder. Am. J. Psychiatry. 149:1992;999-1010.
20. Post R.M., Weiss S.R.B. The neurobiology of treatment-resistant mood disorders. Bloom F.E., Kupfer D.J. Psychopharmacology. The Fourth Generation of Progress:1995;1155-1170 Raven Press, New York.
21. Wiesenfeld K., Moss F. Stochastic resonance and the benefits of noise. from ice ages to crayfish and SQUIDs Nature. 373:1995;33-36.
22. Wiesenfeld K. Noisy precursors of nonlinear instabilities. J. Stat. Phys. 38:1985;1071-1097.