Monoamine neurotransmitters and mood swings: a dynamical systems approach

Author:

Loula R.1,Monteiro L. H. A.12

Affiliation:

1. Universidade Presbiteriana Mackenzie, PPGEEC, São Paulo, SP, Brazil

2. Universidade de São Paulo, Escola Politécnica, São Paulo, SP, Brazil

Abstract

<abstract><p>Serotonin, dopamine and norepinephrine are monoamine neurotransmitters that modulate our mood state. Hence, imbalances in the levels of these neurotransmitters have been linked to the incidence of several psychiatric disorders. Here, a mathematical model written in terms of ordinary differential equations is proposed to represent the interaction of these three neurotransmitters. It is analytically and numerically shown that this model can experience a Hopf bifurcation. Thus, by varying a parameter value, the neurotransmitter levels can change from a steady state to an oscillatory behavior, which may be at least a partial explanation of the mood swings observed in depressed people.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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