A Mathematical Approach to the Body–Mind Problem from a System Personality Theory (A Systems Approach to the Body–Mind Problem)

Abstract

The dynamics of both the General Factor of Personality and the personality biological indicators, as a consequence of a stimulus, can be described with a short-term dynamic model (the response model). The invariance of the response model at both levels of description (psychological and biological) leads to deduce the bridge model with which psychological and biological levels of description can be related. The bridge model is the key tool to deal with the body-mind problem. An application case is presented setting up an experimental design with two subjects. The General Factor of Personality, c-fos and glutamate dynamics are evaluated as a consequence of a methylphenidate dose intake. The response and bridge models are validated with the outcomes of the application case.

The General Factor Of Personality: History of an Interdisciplinary Venture

“…For example, the mathematical model of response to a stimulating drug was conceived in [5,9] like a finite differences equation with a discreet delay. Nevertheless, face to the challenge of looking at the body-mind problem, the model became a continuous delay differential equation [13,15,16], well-known in mathematics as an integro-differential equation. In addition we have to add to the obtained equations, the partial differential equation with which to study the body-mind problem [16] and the dynamic relations among the GFP and the Big Five [10].…”

“…Nevertheless, face to the challenge of looking at the body-mind problem, the model became a continuous delay differential equation [13,15,16], well-known in mathematics as an integro-differential equation. In addition we have to add to the obtained equations, the partial differential equation with which to study the body-mind problem [16] and the dynamic relations among the GFP and the Big Five [10]. And to complete the set of equations that are a generalization of the previous ones, we have the space-time model of the brain [22] that could throw mathematical light on the basic frequencies of the electroencephalogram.…”

“…This old problem of the humanity was treated dynamically, involving the biological bases of personality (concretely the c-fos gene and the glutamate neurotransmitter) and the GFP, through partial differential equations, when the stimulus is methylphenidate [16].…”

Factor General De Personalidad: Historia De Una Aventura Interdisciplinar

“…Este antiguo problema de la humanidad se trató dinámicamente, involucrando las bases biológicas de la personalidad, (en particular el gen c-fos y neurotransmisor glutamato) y el FGP, a través de ecuaciones en derivadas parciales, cuando el estímulo es el metilfenidato [16].…”

“…Por ejemplo, el modelo matemático de respuesta a una droga estimulante fue concebido en [5,9] como una ecuación diferencial de retraso discreto, más conocida en matemáticas como una ecuación en diferencias finitas. Sin embargo, ante el reto de enfocar el problema cuerpo-mente, el modelo pasó a ser una ecuación diferencial de retraso continuo en [13,15,16], conocida en matemáticas como ecuación integro-diferencial. Además hemos de añadir a las ecuaciones obtenidas, la ecuación en derivadas parciales con la que se puede estudiar tanto el problema del cuerpo-mente [16] como la relación dinámica del FGP y los 5 Grandes [10].…”