Chaos Theory and Behavioral Patterns: A theoretical Approach to Psychosis, Bipolar Disorder and Depression

Abstract

Introduction : In this research, we investigate whether chaotic phenomena (Chaos Theory) regulate human brain physiological and pathological behavioral patterns (BP). Methods : Modeling the six basic neurotransmitters of Central Nervous System (CNS), that is to say Dopamine (DA), Serotonin (SE), Noradrenalin (NE), I³-aminobutiric acid (GABA), Glutamate (Glu) and Acetylcholine(Ach), a set of six first order differential equations have been developed and studied in phase-space. Results : The elementary equilibrium points in three (3-DS) and six dimensional (6-DS) phase portrait analysis, include attractors, saddles and repellors. Furthermore, it has been studied the 3-D phase-space of DA, SE and NE. Conclusions : Attractors indicate a stable equilibrium point which corresponds to the most stable behavioral pattern, while the saddles represent a occasional unstable behavioral pattern and finally the repellors correspond to an unstable dynamic system of a totally disorganized BP.. Among other mechanisms, chaotic phenomena seem to regulate in a particular way the CNS basic neurotransmitters resulting in a huge number of different theoretical BP. The implementation in 3-D phase space provides a different view of Psychosis, Bipolar Disorder and Depression. Further research is needed so as to establish the predictive and therapeutic value of this theoretical approach of Human Behavior.