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Mathematical model of the dynamics of psychotherapy
Title
Mathematical model of the dynamics of psychotherapy.
Creator
Norman, Michael D., Charles E. Schmidt College of Science, Center for Complex Systems and Brain Sciences
Abstract/Description
This is a novel attempt to produce a rigorous mathematical model of a complex system. The complex system under study is the relationship between therapists and their clients. The success of psychotherapy depends on the nature of the relationship between a therapist and a client. We use dynamical systems theory to model the dynamics of the emotional interaction between a therapist and client. We determine how the therapeutic endpoint and the dynamics of getting there depend on the parameters...
Show moreThis is a novel attempt to produce a rigorous mathematical model of a complex system. The complex system under study is the relationship between therapists and their clients. The success of psychotherapy depends on the nature of the relationship between a therapist and a client. We use dynamical systems theory to model the dynamics of the emotional interaction between a therapist and client. We determine how the therapeutic endpoint and the dynamics of getting there depend on the parameters of the model. ... We describe the emotional state of both the therapist and client with coupled, first order, nonlinear ordinary differential equations (ODE's). The rate of change of the emotional state of the therapist and client is proportional to their previous state, their uninfluenced state when alone, and an influence function which depends on the state of the other person. We formulated influence functions based on the research literature on psychotherapy and the therapeutic alliance. We then determined the critical points from the intersection of the nullclines and used a numerical ODE solver (Matlab ODE113) to compute the trajectories from different initial conditions. ... The results validate this prototypical approach to psychotherapy ; we have shown that human interaction (in the context of psychotherapy) can be quantified and modeled using differential equations.
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Date Issued
2012
PURL
http://purl.flvc.org/FAU/3358758
Subject Headings
Psychotherapist and patient, Mathematical models, Counselor and client, Mathematical models, Therapeutic alliance, Mathematical models, Psychotherapy, Philosophy, Mathematical models, Evidence-based psychotherapy, Transference (Psychology), Countertransference (Psychology)
Format
Document (PDF)
The Effects of Case Conceptualization Training Over Time and Its Relationship to Practitioner Attitudes Towards Evidence-Based Practice
Title
The Effects of Case Conceptualization Training Over Time and Its Relationship to Practitioner Attitudes Towards Evidence-Based Practice.
Creator
Stoupas, George, Sperry, Len, Florida Atlantic University, College of Education, Department of Counselor Education
Abstract/Description
The purpose of this quantitative, quasi-experimental study was to examine the effects of a standardized case conceptualization training workshop on 104 psychotherapy practitioners recruited from the community. A secondary purpose was to examine the relationship between participants’ attitudes about evidence-based practice and the effects of the training. Participants attended two 3-hour training workshops, which taught the integrative case conceptualization model developed by Sperry (2010b)....
Show moreThe purpose of this quantitative, quasi-experimental study was to examine the effects of a standardized case conceptualization training workshop on 104 psychotherapy practitioners recruited from the community. A secondary purpose was to examine the relationship between participants’ attitudes about evidence-based practice and the effects of the training. Participants attended two 3-hour training workshops, which taught the integrative case conceptualization model developed by Sperry (2010b). Pre- and postintervention case conceptualization skills were assessed using the Case Conceptualization Evaluation Form (CCEF) 2.0, an updated version of the instrument used in previous studies. Additionally, participants’ views about case conceptualization were assessed before and after training using the Views about Case Conceptualization (VACC) instrument. Participants’ attitudes about evidence-based practice were also examined as a possible mediating variable between training and effect. These attitudes were assessed using the Evidence-Based Practice Attitudes Scale (EBPAS). Workshops were separated by four weeks in order to assess whether initial training effects persisted over time. Change in case conceptualization skill was analyzed using repeated measures ANOVA. Participants’ mean CCEF 2.0 scores significantly increased (p < .001) from pre-test (M = 11.9; SD = 7.74) to post-test (M = 36.7; SD = 7.80) following the first workshop. The second workshop took place four weeks later with 74 of the original 104 participants. It built on the content of the first workshop and introduced advanced concepts such as client culture, strengths and protective factors, and predictive ability. Participants’ mean CCEF 2.0 scores also significantly increased (p < .001) from pre-test (M = 35.1; SD = 8.11) to post-test (M = 66.3; SD = 10.95) following the second workshop. There was a small but statistically significant (p < .005) decrease of 1.5 points in mean scores from the end of Workshop I to Workshop II, indicating that the effects of the training deteriorate slowly over time. Participants’ attitudes about evidence based practice and some demographic variables were significantly related to training effects. Stepwise hierarchical regression analysis determined that these individual variables account for various portions of the variance in CCEF 2.0 scores. This study’s theoretical, practice, and research implications are discussed in detail.
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Date Issued
2016
PURL
http://purl.flvc.org/fau/fd/FA00004746, http://purl.flvc.org/fau/fd/FA00004746
Subject Headings
Clinical psychology--Methodology., Client-centered psychotherapy., Psychiatry--Case formulation., Evidence-based medicine., Cognitive therapy., Behavioral assessment., Counseling--Evaluation., Social sciences--Methodology.
Format
Document (PDF)