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Uncovering the dynamics of a circadian-dopamine model influenced by the light-dark cycle.

Publication ,  Journal Article
Kim, R; Witelski, TP
Published in: Mathematical biosciences
February 2022

The neurotransmitter dopamine (DA) is known to be influenced by the circadian timekeeping system in the mammalian brain. We have previously created a single-cell differential equations model to understand the mechanisms behind circadian rhythms of extracellular DA. In this paper, we investigate the dynamics in our model and study different behaviors such as entrainment to the 24-hour light-dark cycle and robust periodicity versus decoupling, quasiperiodicity, and chaos. Imbalances in DA are often accompanied by disrupted circadian rhythms, such as in Parkinson's disease, hyperactivity, and mood disorders. Our model provides new insights into the links between the circadian clock and DA. We show that the daily rhythmicity of DA can be disrupted by decoupling between interlocked loops of the clock circuitry or by quasiperiodic clock behaviors caused by misalignment with the light-dark cycle. The model can be used to further study how the circadian clock affects the dopaminergic system, and to help develop therapeutic strategies for disrupted DA rhythms.

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Published In

Mathematical biosciences

DOI

EISSN

1879-3134

ISSN

0025-5564

Publication Date

February 2022

Volume

344

Start / End Page

108764

Related Subject Headings

  • Photoperiod
  • Parkinson Disease
  • Mammals
  • Dopamine
  • Circadian Rhythm
  • Circadian Clocks
  • Bioinformatics
  • Animals
  • 49 Mathematical sciences
  • 31 Biological sciences
 

Citation

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Kim, R., & Witelski, T. P. (2022). Uncovering the dynamics of a circadian-dopamine model influenced by the light-dark cycle. Mathematical Biosciences, 344, 108764. https://doi.org/10.1016/j.mbs.2021.108764
Kim, Ruby, and Thomas P. Witelski. “Uncovering the dynamics of a circadian-dopamine model influenced by the light-dark cycle.Mathematical Biosciences 344 (February 2022): 108764. https://doi.org/10.1016/j.mbs.2021.108764.
Kim R, Witelski TP. Uncovering the dynamics of a circadian-dopamine model influenced by the light-dark cycle. Mathematical biosciences. 2022 Feb;344:108764.
Kim, Ruby, and Thomas P. Witelski. “Uncovering the dynamics of a circadian-dopamine model influenced by the light-dark cycle.Mathematical Biosciences, vol. 344, Feb. 2022, p. 108764. Epmc, doi:10.1016/j.mbs.2021.108764.
Kim R, Witelski TP. Uncovering the dynamics of a circadian-dopamine model influenced by the light-dark cycle. Mathematical biosciences. 2022 Feb;344:108764.
Journal cover image

Published In

Mathematical biosciences

DOI

EISSN

1879-3134

ISSN

0025-5564

Publication Date

February 2022

Volume

344

Start / End Page

108764

Related Subject Headings

  • Photoperiod
  • Parkinson Disease
  • Mammals
  • Dopamine
  • Circadian Rhythm
  • Circadian Clocks
  • Bioinformatics
  • Animals
  • 49 Mathematical sciences
  • 31 Biological sciences