Mathematical models of panic disorder

Takao Fukano, Yukio Gunji

研究成果: Article

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.

元の言語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
発行部数4
出版物ステータスPublished - 2012 10
外部発表Yes

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Disorder
Differential equations
Attack
Mathematical Model
Mathematical models
Time series
Acute
Nonlinear Differential Equations
Curvilinear integral
Efficacy
Vector Field
Model

ASJC Scopus subject areas

  • Applied Mathematics

これを引用

Mathematical models of panic disorder. / Fukano, Takao; Gunji, Yukio.

:: Nonlinear Dynamics, Psychology, and Life Sciences, 巻 16, 番号 4, 10.2012, p. 457-470.

研究成果: Article

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