Monoamine neurotransmitters and mood swings: a dynamical systems approach

R. Loula; L. H. A. Monteiro; R. Loula; L. H. A. Monteiro

doi:10.3934/mbe.2022187

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 4: 4075-4083. doi: 10.3934/mbe.2022187

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Monoamine neurotransmitters and mood swings: a dynamical systems approach

R. Loula ¹,
L. H. A. Monteiro ^{1,2
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1.
Universidade Presbiteriana Mackenzie, PPGEEC, São Paulo, SP, Brazil
2.
Universidade de São Paulo, Escola Politécnica, São Paulo, SP, Brazil

Academic Editor:Domenico Tegolo

Received: 23 November 2021 Revised: 17 January 2022 Accepted: 09 February 2022 Published: 15 February 2022

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.
- dopamine,
- dynamical system,
- Hopf bifurcation,
- mood instability,
- norepinephrine,
- serotonin
Citation: R. Loula, L. H. A. Monteiro. Monoamine neurotransmitters and mood swings: a dynamical systems approach[J]. Mathematical Biosciences and Engineering, 2022, 19(4): 4075-4083. doi: 10.3934/mbe.2022187

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Abstract

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.

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