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October 30, 2024
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Co-Evolution of the General Factor of Personality and the Big Five Factors: A Mathematical Model and Its Application to Methylphenidate

Publicated to: CYBERNETICS AND SYSTEMS. 55 (1): 88-106 - 2024-01-01 55(1), DOI: 10.1080/01969722.2022.2086519

Authors:

Caselles, Antonio; Micó, Joan C.; Amigó, Salvador; Romero, Pantaleón D.
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Affiliations

Dept Matemat Fis & Ciencias Tecnol, Carrer San Bartolome 55 - Author
Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar - Author
Univ Valencia, Dept Matemat Aplicada, Int Acad Syst & Cybernet Sci IASCYS - Author
Univ Valencia, Dept Personalitat Avaluacio & Tractaments Psicol - Author
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Abstract

This study presents a generalization of a mathematical model, called the bridge model in Literature, to study the co-evolution or dynamical relationship between the General Factor of Personality (GFP) and the Big Five Factors (B5F) as a consequence of a stimulus. This generalization permits its application here to study such co-evolution after a dose intake of methylphenidate. On the one hand, a stimulus-response model, an integro-differential equation called the response model, predicts the short-term effects of a stimulus on the GFP and on the B5F. The fact that both the GFP and the B5F dynamics can be described by the response model is here referred as the invariance principle. On the other hand, the invariance principle leads to the derivation of the bridge model: a second order partial differential equation that relates every B5F to the GFP and time. The outcomes of both experimental designs permit the validation of the response model and of the new bridge model.
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Keywords

AddictionBig fiveBridge modelCo-evolutionD-amphetamineDifferential equationsDynamicsForecastingGeneral factorsGeneralisationImpulsivityIndividual-differencesIntegrodifferential equationsInvariance principleIts applicationsMethylphenidateNonlinear dynamical modelingNonlinear dynamical modelsNonlinear equationsResponse model

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal CYBERNETICS AND SYSTEMS, and although the journal is classified in the quartile Q3 (Agencia WoS (JCR)), its regional focus and specialization in Computer Science, Cybernetics, give it significant recognition in a specific niche of scientific knowledge at an international level.

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Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-03:

  • The use, from an academic perspective evidenced by the Altmetric agency indicator referring to aggregations made by the personal bibliographic manager Mendeley, gives us a total of: 4.
  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 4 (PlumX).

With a more dissemination-oriented intent and targeting more general audiences, we can observe other more global scores such as:

  • The Total Score from Altmetric: 1.
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