Purpose

The purpose of this paper is to investigate the body-mind problem from a mathematical invariance principle in relation to personality dynamics in the psychological and the biological levels of description.

Design/methodology/approach

The relationship between the two mentioned levels of description is provided by two mathematical models as follows: the response model and the bridge model. The response model (an integro-differential equation) is capable to reproduce the personality dynamics as a consequence of a determined stimulus. The invariance principle asserts that the response model can reproduce personality dynamics at the two levels of description. The bridge model (a second-order partial differential equation) can be deduced as a consequence of this principle: it provides the co-evolution of the general factor of personality (GFP) (mind), the it is an immediate early gene (c-fos) and D3 dopamine receptor gene (DRD3) gens and the glutamate neurotransmitter (body).

Findings

An application case is presented by setting up two experimental designs: a previous pilot AB pseudo-experimental design (AB) pseudo-experimental design with one subject and a subsequent ABC experimental design (ABC) experimental design with another subject. The stimulus used is the stimulant drug methylphenidate. The response and bridge models are validated with the outcomes of these experiments.

Originality/value

The mathematical approach here presented is based on a holistic personality model developed in the past few years: the unique trait personality theory, which claims for a single personality trait to understand the overall human personality: the GFP.

中文翻译：

---

生物学和人格：解决身心问题的数学方法

目的

本文的目的是从数学不变性原理来研究与心理和生物学描述水平中的人格动态有关的身心问题。

设计/方法/方法

以下两个数学模型提供了上述两个描述级别之间的关系：响应模型和桥接模型。响应模型（整数微分方程）能够重现所确定刺激的个性动态。不变性原则断言，响应模型可以在两个描述级别上再现人格动态。可以根据此原理推导出桥模型（二阶偏微分方程）：它提供了人格通用因子（心灵）的共同进化，它是直接的早期基因（c -fos）和D3多巴胺受体基因（DRD3）基因和谷氨酸神经递质（身体）。

发现

通过建立两个实验设计来展示一个应用案例：一个主题为先前的AB模拟实验设计（AB）伪实验设计，另一个主题为后续ABC实验设计（ABC）实验设计。所使用的刺激物是刺激性药物哌醋甲酯。这些实验的结果验证了响应模型和桥梁模型。

创意/价值

这里介绍的数学方法是基于过去几年开发的整体人格模型：独特特质人格理论，该理论要求一个人格特质来理解人类的整体人格：GFP。