scholarly journals The sleep-wake distribution contributes to the peripheral rhythms in PERIOD-2

eLife ◽  
2021 ◽  
Vol 10 ◽  
Author(s):  
Marieke MB Hoekstra ◽  
Maxime Jan ◽  
Georgia Katsioudi ◽  
Yann Emmenegger ◽  
Paul Franken
Keyword(s):  
Mathematical Modelling ◽  
Harmonic Oscillator ◽  
Clock Gene ◽  
Suprachiasmatic Nuclei ◽  
Daily Rhythms ◽  
Peripheral Tissues ◽  
Damped Harmonic Oscillator ◽  
Period 2 ◽  
Freely Behaving ◽  
Wake State

In the mouse, Period-2 (Per2) expression in tissues peripheral to the suprachiasmatic nuclei (SCN) increases during sleep deprivation and at times of the day when animals are predominantly awake spontaneously, suggesting that the circadian sleep-wake distribution directly contributes to the daily rhythms in Per2. We found support for this hypothesis by recording sleep-wake state alongside PER2 bioluminescence in freely behaving mice, demonstrating that PER2 bioluminescence increases during spontaneous waking and decreases during sleep. The temporary reinstatement of PER2-bioluminescence rhythmicity in behaviorally arrhythmic SCN-lesioned mice submitted to daily recurring sleep deprivations substantiates our hypothesis. Mathematical modelling revealed that PER2 dynamics can be described by a damped harmonic oscillator driven by two forces: a sleep-wake-dependent force and a SCN-independent circadian force. Our work underscores the notion that in peripheral tissues the clock gene circuitry integrates sleep-wake information and could thereby contribute to behavioral adaptability to respond to homeostatic requirements.

scholarly journals The sleep-wake distribution contributes to the peripheral rhythms in PERIOD-2

2020 ◽  
Author(s):  
Marieke M.B. Hoekstra ◽  
Maxime Jan ◽  
Yann Emmenegger ◽  
Paul Franken
Keyword(s):  
Mathematical Modelling ◽  
Harmonic Oscillator ◽  
Clock Gene ◽  
Suprachiasmatic Nuclei ◽  
Daily Rhythms ◽  
Peripheral Tissues ◽  
Damped Harmonic Oscillator ◽  
Period 2 ◽  
Freely Behaving ◽  
Wake State

AbstractIn the mouse, Period-2 (Per2) expression in tissues peripheral to the suprachiasmatic nuclei (SCN) increases during sleep deprivation (SD) and when animals are predominantly awake spontaneously, suggesting that the circadian sleep-wake distribution directly contributes to the daily rhythms in Per2. We found support for this hypothesis by recording sleep-wake state alongside PER2 bioluminescence in freely behaving mice, demonstrating that PER2 increases during spontaneous waking and decreases during sleep. The temporary reinstatement of PER2 rhythmicity in behaviorally arrhythmic SCN-lesioned (SCNx) mice submitted to daily recurring SDs substantiates our hypothesis. Mathematical modelling revealed that PER2 dynamics can be described by a damped harmonic oscillator driven by two forces, a wake-driven and a SCN-independent circadian force. Our work underscores the notion that in peripheral tissues the clock gene circuitry integrates sleep-wake information and could thereby contribute to behavioral adaptability to respond to homeostatic requirements.

Rosen-Chambers Variation Theory of Linearly-Damped Classic and Quantum Oscillator

2014 ◽  
Vol 4 (1) ◽  
pp. 404-426
Author(s):  
Vincze Gy. Szasz A.
Keyword(s):  
Harmonic Oscillator ◽  
Classical Mechanics ◽  
Universal Time ◽  
Variation Theory ◽  
Quantum Oscillator ◽  
Variation Principle ◽  
Poisson Brackets ◽  
Mathematical Meaning ◽  
Damped Harmonic Oscillator ◽  
Damped Oscillator

Phenomena of damped harmonic oscillator is important in the description of the elementary dissipative processes of linear responses in our physical world. Its classical description is clear and understood, however it is not so in the quantum physics, where it also has a basic role. Starting from the Rosen-Chambers restricted variation principle a Hamilton like variation approach to the damped harmonic oscillator will be given. The usual formalisms of classical mechanics, as Lagrangian, Hamiltonian, Poisson brackets, will be covered too. We shall introduce two Poisson brackets. The first one has only mathematical meaning and for the second, the so-called constitutive Poisson brackets, a physical interpretation will be presented. We shall show that only the fundamental constitutive Poisson brackets are not invariant throughout the motion of the damped oscillator, but these show a kind of universal time dependence in the universal time scale of the damped oscillator. The quantum mechanical Poisson brackets and commutation relations belonging to these fundamental time dependent classical brackets will be described. Our objective in this work is giving clearer view to the challenge of the dissipative quantum oscillator.

Path integral for the damped harmonic oscillator coupled to its dual

1994 ◽  
Vol 35 (3) ◽  
pp. 1185-1191 ◽  
Author(s):  
L. Chetouani ◽  
L. Guechi ◽  
T. F. Hammann ◽  
M. Letlout
Keyword(s):  
Harmonic Oscillator ◽  
Path Integral ◽  
Damped Harmonic Oscillator

Abstract P466: Circadian Rhythm Disruptions in a Novel Diabetic db/db-mPer2 Luc Mouse Model

Hypertension ◽  
2017 ◽  
Vol 70 (suppl_1) ◽  
Author(s):  
Tianfei Hou ◽  
Wen Su ◽  
Ming C Gong ◽  
Zhenheng Guo
Keyword(s):  
Blood Pressure ◽  
Circadian Rhythms ◽  
Real Time ◽  
Clock Gene ◽  
Ex Vivo ◽  
Phase Advance ◽  
Luciferase Reporter ◽  
High Time Resolution ◽  
Peripheral Tissues

Db/db mouse, which lacks functional leptin receptor, is an extensively used model of obesity and type 2 diabetes. We and others have demonstrated that db/db mouse has disruptions in circadian rhythms of behavior, physiology and some clock genes. However, systemic investigations of the alterations in clock gene oscillations in multiple systems with high time resolution in this model are impeded by the impractical demand for large number of animals. To overcome this limitation, we cross bred the db/db mouse with mPer2 Luc mouse in which the clock gene Period2 is fused with a luciferase reporter thus allow real-time monitoring of the clock gene Per2 oscillations. The generated db/db-mPer2 Luc mice had the typical diabetic mellitus including obesity, hyperglycemia, hyperinsulinemia, glucose intolerance and insulin resistance. In addition, the db/db-mPer2 Luc mice also exhibited disruptions in circadian rhythms in behavior (locomotor activity), physiology (blood pressure) and metabolism (respiratory exchange ratio and energy expenditure). Using the LumiCycle system, we monitored in real-time of the Per2 oscillations in both the SCN central clock and multiple peripheral tissues ex vivo . The results showed no difference in the phase of the central SCN Per2 oscillation. However, the peripheral tissues that related to metabolism, such as liver and white adipose clocks, displayed 3.28±0.86 and 4.64±1.06 hours of phase advance respectively. Aorta, mesentery artery and kidney, organs play important role in blood pressure homeostasis, showed 0.99±0.37, and 2.12±0.4, and 2.21±0.5 hours phase advance respectively. Interestingly, no difference was observed in the lung and adrenal gland. We then investigated the Per2 oscillation in vivo by using the IVIS imaging system. Consistent with the ex vivo results, the liver Per2 oscillation were phase advanced in vivo. Our findings demonstrated that clock gene Per2 oscillations were disrupted in multiple peripheral tissues but not in central SCN. Moreover, the extent of phase advance in peripheral tissue varies largely. Our results suggest dyssynchrony of the clock oscillations among various peripheral systems likely contribute to the multiple disruptions in physiology and metabolism in diabetic db/db mice.

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