Mathematical Model of the Dynamics of Psychotherapy.

IF 0.6 4区 心理学 Q4 PSYCHOLOGY, MATHEMATICAL
Magdalena Szafrańska-Łęczycka, Katarzyna Szymańska-Dębowska, Urszula Foryś
{"title":"Mathematical Model of the Dynamics of Psychotherapy.","authors":"Magdalena Szafrańska-Łęczycka, Katarzyna Szymańska-Dębowska, Urszula Foryś","doi":"","DOIUrl":null,"url":null,"abstract":"<p><p>In this paper we introduce a mathematical model of psychotherapy where the proposed continuous dynamical system describes the relationship between the client and the therapist based on dyadic interactions modeling. The model also incorporates the influence representing the external environment of the client's state. It was assumed that given that influence is negative. In order to reflect possible instability of the client's state, we describe the client who can demonstrate other mental comorbidities. Additionally, this assumption depicts the fact that his/her preferable state can be not unique. We analyse basic properties of the model and use it to study various scenarios of final results of psychotherapy.</p>","PeriodicalId":46218,"journal":{"name":"Nonlinear Dynamics Psychology and Life Sciences","volume":"29 2","pages":"257-290"},"PeriodicalIF":0.6000,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Dynamics Psychology and Life Sciences","FirstCategoryId":"102","ListUrlMain":"","RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PSYCHOLOGY, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0

Abstract

In this paper we introduce a mathematical model of psychotherapy where the proposed continuous dynamical system describes the relationship between the client and the therapist based on dyadic interactions modeling. The model also incorporates the influence representing the external environment of the client's state. It was assumed that given that influence is negative. In order to reflect possible instability of the client's state, we describe the client who can demonstrate other mental comorbidities. Additionally, this assumption depicts the fact that his/her preferable state can be not unique. We analyse basic properties of the model and use it to study various scenarios of final results of psychotherapy.

心理治疗动力学的数学模型。
在本文中,我们介绍了一个心理治疗的数学模型,其中提出的连续动力系统描述了基于二元相互作用模型的来访者和治疗师之间的关系。该模型还包含了代表客户端状态的外部环境的影响。假设这种影响是负面的。为了反映病人可能的不稳定状态,我们描述了那些表现出其他精神合并症的病人。此外,这个假设说明他/她的理想状态可能不是唯一的。我们分析了模型的基本属性,并用它来研究心理治疗的最终结果的各种场景。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
CiteScore
1.40
自引率
11.10%
发文量
26
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信