EVOLUTIONARY STOCHASTIC MODEL OF DYNAMICS OF PSYCHOEMOTIONAL STATES IN AFFECTIVE DISORDERS
Cite this article as:
Postnov D. D. EVOLUTIONARY STOCHASTIC MODEL OF DYNAMICS OF PSYCHOEMOTIONAL STATES IN AFFECTIVE DISORDERS. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 4, pp. 148-159. DOI: https://doi.org/10.18500/0869-6632-2010-18-4-148-159
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.
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.
BibTeX
author = {D. D. Postnov},
title = {EVOLUTIONARY STOCHASTIC MODEL OF DYNAMICS OF PSYCHOEMOTIONAL STATES IN AFFECTIVE DISORDERS},
year = {2010},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {18},number = {4},
url = {https://old-andjournal.sgu.ru/en/articles/evolutionary-stochastic-model-of-dynamics-of-psychoemotional-states-in-affective-disorders},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2010-18-4-148-159},pages = {148--159},issn = {0869-6632},
keywords = {Stochastic model,affective disorders,psychoemotional states,paradigm of an overdamped nonlinear oscillator.},
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. }}