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


Cite this article as:

Postnov D. D. Evolutionary stochastic model of dynamics of psycho­emotional states in affective disorders. Izvestiya VUZ, 2010, vol. 18, iss. 4, pp. 148-159. DOI: https://doi.org/10.18500/0869-6632-2010-18-4-148-159

Language: 
Russian
Heading: 

Evolutionary stochastic model of dynamics of psycho­emotional states in affective disorders

Autors: 
Postnov Dmitrij Dmitrievich, Saratov State University
Abstract: 

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 short­term single influence, and long­term development of bipolar affective disorder.

DOI: 
10.18500/0869-6632-2010-18-4-148-159
References: 

1. Jenner F.A., Gjessing L.R., Cox J.R., Davies-Jones A., Hullin R., Hanna S. A manic depressive psychotic with a persistent forty-eight hour cycle // Br. J. Psychiatry. 1967. Vol. 113. P. 895. 2. Wehr T.A., Goodwin F.K. Rapid cycling in manic depressives included by tricyclic antidepressants // Arch. Gen. Psychiatry. 1979. Vol. 36. P. 555. 3. Kukopulus A., Reginaldi D., Laddomada P., Floris G., Serra G., Tondo L. Course of the manic-depressive cycle and changes caused by treatment // Pharmacopsychiatry. 1980. Vol. 13. P. 156. 4. Wehr T.A., Goodwin F.K., Wirz-Justice A., Breitmaier J., Craig C. 48-hour sleep-wake cycles in manic-depressive illness: naturalistic observations and sleep deprivation experiments // Arch. Gen. Psychiatry. 1982. Vol. 39. P. 559. 5. Wehr T.A., Sack D., Rosenthal N., Duncan W., Gillin J.C. Circadian rhythm disturbances in manic-depressive illness // Fed. Proc. 1983. Vol. 42. P. 2809. 6. Lewy A.J., Wehr T.A., Goodwin F.K., Newsome D.A., Rosenthal N.E. Manic depressive patients may be supersensitive to light // Lancet, 1981, i: 383–384. 7. Post R.M., Rubinow D.R., Ballenger J.C. Conditioning, sensitization, and the longitudinal course of affective illness // Br. J. Psychiatry. 1986. Vol. 149. P. 191. 8. Post R.M., Rubinow D.R., Ballenger J.C. Conditioning, sensitization, and kindling: implications for the course of affective illness // Neurobiology of Mood Disorders, Baltimore, Md: Williams and Wilkins. 1985. P. 432. 9. Gottchalk A., Bauer M.S., Whybrow P.C. Evidence of chaotic mood variation in bipolar disorder // Arch. Gen. Psychiatry. 1995. Vol. 52. P. 947. 10. Huber M.T., Braun H.A., and Krieg J.C. Consequences of deterministic and random dynamics for the course of affective disorders // Biol. Psychiatry. 1999. Vol. 46. P. 256. 11. Huber M.T., Braun H.A., and Krieg J.C. Effects of noise on Different Disease States of Recurrent Affective Disorders // Biol. Psychiatry. 2000. Vol. 47. P. 634. 12. Huber M.T., Braun H.A., and Krieg J.C. On the impact of episode sensitization on the course of recurrent affective disorders // Journal of Psychiatric Research. 2001. Vol. 35. P. 49. 13. Huber M.T., Braun H.A., Voigt K., and Krieg J.C. Some computational aspects of the kindling model for neuropsychiatric disorders // Neurocomputing. 2001. Vol. 38. P. 1297. 14. Huber M.T., Braun H.A., and Krieg J.C. On episode sensitization in recurrent affective disorders: the role of noise // Neuropsychopharmacology. 2003. Vol. 28. S.13. 15. Анищенко В.С., Астахов В.В., Вадивасова Т.Е., Нейман А.Б. и др. Нелинейные эффекты в хаотических и стохастических системах. Москва; Ижевск: Институт компьютерных исследований, 2003. 529 с. 16. Анищенко В.С., Вадивасова Т.Е., Астахов В.В. Нелинейная динамика хаотических и стохастических систем. Саратов: Изд-во Сарат. ун-та, 1999. 387 с. 17. Гардинер К.В. Стохастические методы в естественных науках. М.: Мир, 1986. 512 с. 18. Безручко Б.П., Смирнов Д.А. Математическое моделирование и хаотические временные ряды. Саратов: Изд-во ГосУНЦ «Колледж», 2005. 319 с.

Short text (in English): 
Full text: