Mathematical models of panic disorder

Takao Fukano*, Yukio Pegio Gunji

*この研究の対応する著者

研究成果: Article査読

抄録

The dynamics of panic attacks in both functional individuals and panic disorder patients are qualitatively evaluated by using coupled nonlinear differential equations. Each panic attack is described by two variables, fear and physical symptoms. Different thresholds for these variables are defined for functional individuals, patients in the acute phase, and patients in the chronic phase. Integral lines, vector fields, and time series of solutions, based on the proposed coupled nonlinear differential equations, are shown. The efficacy of treatment and severity of each panic attack are also evaluated. Under our hypothesized condition, it is shown that particular pharmacological treatment could change the final states of patients in the acute phase, but could not change either the final states of patients in the chronic phase or those of functional individuals. Our model is consistent with the well-known major features of panic attacks, and sheds new light on the dynamics of panic attacks.

本文言語English
ページ(範囲)457-470
ページ数14
ジャーナルNonlinear Dynamics, Psychology, and Life Sciences
16
4
出版ステータスPublished - 2012 10月 1
外部発表はい

ASJC Scopus subject areas

  • 応用数学

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