A dynamic extraversion model. The brain's response to a single dose of a stimulant drug

Abstract

The aim of this paper is to present a mathematical dynamic modelling of the effect a stimulant drug has on different people which, at the same time, can be a useful tool for future brain studies. To this end, a dynamic model of the evolution of extraversion (considering its tonic and phasic aspects) has been constructed taking into account the unique personality trait theory and the general modelling methodology. This model consists of a delayed differential equation which, on one hand, considers that the active stimulus, a consequence of a single intake, is not constant; on the other hand, it contemplates that the state variable representing the phasic extraversion also represents the brain activation. The derivative of this state variable is calculated as the sum of the homeostatic control flow, the excitatory effect flow and the inhibitor effect flow. The solutions of this equation relate the tonic activation of an individual (that characterizes his or her personality) with his or her phasic activation level, whose evolution over time describes the organism's response to a single drug intake. These solutions quantitatively reproduce the predictions of current personality theories and anticipate vulnerability to drug misuse and addiction development.

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 the first international publication the mathematical model of Extraversion appeared, showing how the Unique Trait or Extraversion reacted to a single stimulating drug dose [5]. If Extraversion is a bipolar dimension that extends from the pole of extreme Extraversion to the one of the Introversion, we saw that we could classify people throughout this line based on its reaction to a drug dose.…”

Factor General De Personalidad: Historia De Una Aventura Interdisciplinar

“…En la primera publicación internacional se presentó el modelo matemático de Extraversión, en la que se mostró cómo el Rasgo Único o Extraversión reaccionaba a una dosis única de estimulante [5]. Si la Extraversión es una dimensión bipolar que se extiende desde el polo de la Extraversión extrema hasta el de la Introversión, vimos que podíamos clasificar a las personas a lo largo de ese polo en función de su reacción a una dosis de droga.…”

“…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.…”

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

“…The relationship between the general activation and the GFP is the following: (1) a low general activation corresponds with a high score in the GFP ‐MAACLR and with an approach tendency and (2) a high general activation corresponds with a low score in the GFP‐MAACLR and with an avoidance tendency. The general activation is also asserted particularly as the general activation in brain (Amigó et al ., ; Amigó et al ., ).…”