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Tachi, K. and Okamoto, S. (2023) Dynamic State-Space Modeling with Factorial Memories in Temporal Dominance of Sensations, Emotions and Temporal Liking. IEEE Transactions on Affective Computing, 14, 2266-2275.
https://doi.org/10.1109/taffc.2022.3149133

has been cited by the following article:

• TITLE: A Mathematical Model of Borderline Personality Disorder

  AUTHORS: Betty Chebet, Onyango Lawrence Omondi, Elisha Achieng Ogada

  KEYWORDS: Borderline Personality Disorder, Bifurcation, Attractor Dynamics, Emotional Instabilities, Persistence of Symptoms, Transient Stress and Affective Reactivity

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.9, September 17, 2026

  ABSTRACT: In this article, a dynamical system model of Borderline Personality Disorder (BPD) has been developed and analyzed. The model takes into account the instantaneous effective responses, the emotional instability, difficulties in relationships and impulsive behaviors. A minimum linear model for parameter estimation followed by nonlinear generalization with Hill function based self excitations and social reinforcements are introduced. The derivation of the model, its stability and bifurcation analyses, and stimulation results are presented, showing how feedbacks are responsible for elevated levels of symptoms severity under transient stress conditions and how variations of treatment parameters affects attractor dynamics. The article is concluded with a guide to model parametrization based on intensive longitudinal measures, parents daily experiences, highlighting potential issues and giving future directions for computational psychiatry.