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Mathematical Modeling in Circadian Rhythmicity


Mathematical Modeling in Circadian Rhythmicity - PubMed

Circadian clocks are autonomous systems able to oscillate in a self-sustained manner in the absence of external cues, although such Zeitgebers are typically ...

Mathematical modeling of circadian rhythms - PubMed

Circadian rhythms are endogenous ~24-hr oscillations usually entrained to daily environmental cycles of light/dark.

A mathematical model of circadian rhythms and dopamine

We create a mathematical model consisting of differential equations that express how the circadian variables are influenced by light, how REV- ...

Mathematical Modeling in Circadian Rhythmicity - SpringerLink

This chapter discusses self-sustained circadian oscillators in the context of nonlinear dynamics theory. We suggest basic steps that can help in constructing a ...

Mathematical Modeling of Circadian/Performance Countermeasures

We developed and refined our current mathematical model of circadian rhythms to incorporate melatonin as a marker rhythm. We used an existing ...

Mathematical Modeling in Circadian Rhythmicity - ResearchGate

Abstract · 1. First of all, a negative feedback is necessary to carry the reaction. network back to the point where the oscillation started · 2.

Mathematical modeling of circadian rhythms - Asgari‐Targhi - 2019

Mathematical models of circadian rhythms have been proposed to provide a better understanding of and to predict aspects of this complex ...

Mathematical modeling of temperature-induced circadian rhythms

In this work, we develop a semi-mechanistic mathematical model describing the entrainment of peripheral clocks to temperature rhythms.

A mathematical model of the circadian clock and drug pharmacology ...

Mammalian physiological and behavioural processes follow a daily rhythm of approximately 24 h, which is regulated by the circadian system. In mammals, the ...

Mathematical Modeling of Circadian Rhythms - SpringerLink

Mathematical model simulations have elucidated key processes controlling phase, amplitude, period, and synchrony in the circadian system.

Mathematical modeling of endocrine regulation subject to circadian ...

This paper presents an overview of the mathematical models of circadian rhythm with respect to endocrine regulation, as well as biological background.

A Mathematical Model for the Intracellular Circadian Rhythm ...

Abstract. A mathematical model for the intracellular circadian rhythm generator has been studied, based on a negative feedback of protein ...

Predicting circadian phase across populations: a comparison of ...

One approach is to predict circadian phase noninvasively using light and activity measurements and mathematical models of the human circadian ...

On Mathematical Modeling of Circadian Rhythms, Performance, and ...

While not all models must be based on physiol- ogy, a model that is based on the physiology of the. REVIEW. On Mathematical Modeling of Circadian Rhythms,.

Wanasingha, Nayana - OhioLINK ETD

Circadian systems are biological oscillators that maintain an inherent period of about a day. Mathematical modeling of circadian systems has guided ...

Understanding how the body regulates circadian rhythms using ...

Researchers are using mathematical models to better understand the effects of disruptions like daylight savings time, working night shifts, ...

Modelling Circadian Rhythms in Drosophila and Investigation of VRI ...

The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, ...

Mathematical Modeling of Circadian Rhythms

Through a series of three examples spanning a range of different spatial scales, we demonstrate the valuable interplay among mathematical modeling, experimental ...

Mathematical Modeling of Circadian Rhythms in Drosophila ...

The circadian rhythm can be either advanced or delayed by applying a pulse of light in constant darkness. Consequently, the circadian rhythm will synchronize to ...

A mathematical model of circadian rhythms synchronization using ...

The numerical simulations of the equations reflect synchronization of ultradian rhythms leading to a circadian rhythm. The classical behavior is recovered when ...