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

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Postnov D. D. Evolutionary stochastic model of dynamics of psycho-­emotional states in affective disorders. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 4, pp. 148-159. DOI: 10.18500/0869-6632-2010-18-4-148-159

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Evolutionary stochastic model of dynamics of psycho-­emotional states in affective disorders

Postnov Dmitrij Dmitrievich, Saratov State University

Experimental researches in the field of psychiatry show that variation of psychoemotional states in humans resembles switching process between the various major phases (depressed, normal, manic state). The parameters of such switching process significantly differ in normal state and in affective disorders. To date, the known mathematical models of this process, are based on the assumption of presence of internal chaotic dynamics. We suggest an alternative approach and show that the behavior of a model based on the paradigm of an overdamped nonlinear oscillator under the influence of external noise, is in a good agreement with experimental data. The proposed model reproduced at qualitative level both typical reaction to short-term single influence, and long-term development of bipolar affective disorder.

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