Abstract

Objective: The purpose of this paper is to describe an approach to dynamical systems (DS) using a set of differential equations, and how an application of these equations can be used to address a critical element of the therapeutic relationship. Using APA’s Three Approaches to Psychotherapy with a Female Client: The Next Generation and Three Approaches to Psychotherapy with a Male Client: The Next Generation videos, DS models were created for each of the six sessions with expert clinicians (Judith Beck, Leslie Greenberg, and Nancy McWilliams) from the three theoretical approaches. Method: A second-by-second observational coding system of the emotional exchanges of the therapists and clients was used as the data for the equations. Results: DS modeling allowed for a side-by-side comparison between the three approaches as well as between the two clients. Examining the graphs created by plotting the results of the DS equations (in particular, phase-space portraits) revealed that there were similarities among the three theoretical approaches, and there were notable differences between the two clients. Conclusions: DS modelling can provide researchers and clinicians with a powerful tool to investigate the complex phenomenon that is psychotherapy.

摘要

目的：本文的目的是描述使用一组微分方程的动力系统 (DS) 方法，以及如何应用这些方程来解决治疗关系的关键要素。使用 APA 对女性客户进行心理治疗的三种方法：下一代和对男性客户进行心理治疗的三种方法：下一代视频，为与专家临床医生（Judith Beck、Leslie Greenberg 和Nancy McWilliams) 来自三种理论方法。方法：治疗师和客户的情绪交流的逐秒观察编码系统被用作方程的数据。结果： DS 建模允许在三种方法之间以及两个客户之间进行并排比较。检查通过绘制 DS 方程的结果（特别是相空间图）创建的图表显示，三种理论方法之间存在相似之处，并且两个客户之间存在显着差异。结论： DS 建模可以为研究人员和临床医生提供强大的工具来研究心理治疗这一复杂现象。