SimDE App:使用微分方程模拟和可视化形式理论
Rohit Batra1, Emorie D Beck1, Meng Chen2
1Department of Psychology, University of California, Davis.
Psychological methods
|December 4, 2025
概括
用数学语言正式化心理学理论,特别是微分方程 (DE),提高了清晰度. R Shiny应用程序SimDE将语言理论转化为DE模型,用于数据收集前的模拟和分析.
科学领域:
- 心理学 心理学 心理学
- 计算神经科学是一种神经科学.
- 数学心理学 数学心理学
背景情况:
- 心理学理论经常使用口头语言,导致模两可的解释.
- 在数学上对理论进行形式化,特别是对微分方程 (DE) 进行形式化,可以提供定量精度.
- 目前用于将口头心理理论转化为DE模型的工具有限.
研究的目的:
- 介绍SimDE,一个R Shiny应用程序,旨在弥合口头心理理论和数学模型之间的差距.
- 为研究人员提供了一种工具,以指定,模拟和分析从心理学理论衍生的微分方程模型.
- 通过定量建模,促进动态心理理论的探索和改进.
主要方法:
- 开发了SimDE,这是一个开放访问的R Shiny应用程序,用于指定和模拟微分方程 (DE) 模型.
- 该应用程序支持一级或二级DE,有或没有动态错误项 (普通或随机DE),并包括合动态.
- 用户可以绘制模拟轨迹,以可视化系统动态,并评估模型的适当性.
主要成果:
- SimDE使用户能够将语言理论转化为正式的DE模型.
- 该应用程序允许模拟各种DE模型类型的随时间变量轨迹.
- 用户可以视觉检查模型行为,以评估其适合心理现象.
结论:
- 对于研究人员来说,SimDE 是一种有价值的工具,可以使用微分方程来探索和完善动态心理学理论.
- 该应用程序有助于理解在经验数据收集之前理论模型中的隐含假设.
- 通过数学形式化促进心理假设的定量分析和解释.
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