Mathematical insights into the role of dopamine signaling in circadian entrainment.

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Title: Mathematical insights into the role of dopamine signaling in circadian entrainment.
Authors: Kim, Ruby1 (AUTHOR) rshkim@umich.edu, Nijhout, H. Frederik2 (AUTHOR), Reed, Michael C.3 (AUTHOR)
Source: Mathematical Biosciences. Feb2023, Vol. 356, pN.PAG-N.PAG. 1p.
Subjects: Dopamine, Ordinary differential equations, Nonlinear differential equations, Suprachiasmatic nucleus, Parkinson's disease, Dopamine receptors
Abstract: The circadian clock in the mammalian brain comprises interlocked molecular feedback loops that have downstream effects on important physiological functions such as the sleep-wake cycle and hormone regulation. Experiments have shown that the circadian clock also modulates the synthesis and breakdown of the neurotransmitter dopamine. Imbalances in dopamine are linked to a host of neurological conditions including Parkinson's disease, attention-deficit/hyperactivity disorder, and mood disorders, and these conditions are often accompanied by circadian disruptions. We have previously created a mathematical model using nonlinear ordinary differential equations to describe the influences of the circadian clock on dopamine at the molecular level. Recent experiments suggest that dopamine reciprocally influences the circadian clock. Dopamine receptor D1 (DRD1) signaling has been shown to aid in the entrainment of the clock to the 24-hour light-dark cycle, but the underlying mechanisms are not well understood. In this paper, we use our mathematical model to support the experimental hypothesis that DRD1 signaling promotes circadian entrainment by modulating the clock's response to light. We model the effects of a phase advance or delay, as well as the therapeutic potential of a REV-ERB agonist. In addition to phase shifts, we study the influences of photoperiod, or day length, in the mathematical model, connect our findings with the experimental and clinical literature, and determine the parameter that affects the critical photoperiod that signals seasonal changes to physiology. • Mathematical model captures the influences of east–west travel on molecular rhythms. • Dopamine signaling controls light gain in the suprachiasmatic nucleus in the model. • The mathematical model predicts that critical photoperiod depends on PER decay rates. [ABSTRACT FROM AUTHOR]
Copyright of Mathematical Biosciences is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Mathematical insights into the role of dopamine signaling in circadian entrainment.
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  Data: <searchLink fieldCode="AR" term="%22Kim%2C+Ruby%22">Kim, Ruby</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rshkim@umich.edu</i><br /><searchLink fieldCode="AR" term="%22Nijhout%2C+H%2E+Frederik%22">Nijhout, H. Frederik</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Reed%2C+Michael+C%2E%22">Reed, Michael C.</searchLink><relatesTo>3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Mathematical+Biosciences%22">Mathematical Biosciences</searchLink>. Feb2023, Vol. 356, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Dopamine%22">Dopamine</searchLink><br /><searchLink fieldCode="DE" term="%22Ordinary+differential+equations%22">Ordinary differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+differential+equations%22">Nonlinear differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Suprachiasmatic+nucleus%22">Suprachiasmatic nucleus</searchLink><br /><searchLink fieldCode="DE" term="%22Parkinson's+disease%22">Parkinson's disease</searchLink><br /><searchLink fieldCode="DE" term="%22Dopamine+receptors%22">Dopamine receptors</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The circadian clock in the mammalian brain comprises interlocked molecular feedback loops that have downstream effects on important physiological functions such as the sleep-wake cycle and hormone regulation. Experiments have shown that the circadian clock also modulates the synthesis and breakdown of the neurotransmitter dopamine. Imbalances in dopamine are linked to a host of neurological conditions including Parkinson's disease, attention-deficit/hyperactivity disorder, and mood disorders, and these conditions are often accompanied by circadian disruptions. We have previously created a mathematical model using nonlinear ordinary differential equations to describe the influences of the circadian clock on dopamine at the molecular level. Recent experiments suggest that dopamine reciprocally influences the circadian clock. Dopamine receptor D1 (DRD1) signaling has been shown to aid in the entrainment of the clock to the 24-hour light-dark cycle, but the underlying mechanisms are not well understood. In this paper, we use our mathematical model to support the experimental hypothesis that DRD1 signaling promotes circadian entrainment by modulating the clock's response to light. We model the effects of a phase advance or delay, as well as the therapeutic potential of a REV-ERB agonist. In addition to phase shifts, we study the influences of photoperiod, or day length, in the mathematical model, connect our findings with the experimental and clinical literature, and determine the parameter that affects the critical photoperiod that signals seasonal changes to physiology. • Mathematical model captures the influences of east–west travel on molecular rhythms. • Dopamine signaling controls light gain in the suprachiasmatic nucleus in the model. • The mathematical model predicts that critical photoperiod depends on PER decay rates. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Mathematical Biosciences is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1016/j.mbs.2022.108956
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      – Code: eng
        Text: English
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    Subjects:
      – SubjectFull: Dopamine
        Type: general
      – SubjectFull: Ordinary differential equations
        Type: general
      – SubjectFull: Nonlinear differential equations
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      – SubjectFull: Suprachiasmatic nucleus
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      – SubjectFull: Parkinson's disease
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      – SubjectFull: Dopamine receptors
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      – TitleFull: Mathematical insights into the role of dopamine signaling in circadian entrainment.
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            NameFull: Kim, Ruby
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            NameFull: Nijhout, H. Frederik
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            NameFull: Reed, Michael C.
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            – D: 01
              M: 02
              Text: Feb2023
              Type: published
              Y: 2023
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              Value: 356
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