Mathematical Modeling of Circadian Rhythms

Mathematical modeling of circadian rhythms - PubMed

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

Mathematical modeling of circadian rhythms - PMC - PubMed Central

Circadian clocks are present within individual cells and at tissue and organismal levels as emergent properties from the interaction of cellular oscillators.

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 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 ...

We address personalization of treatment timing using a novel mathematical model of irinotecan cellular pharmacokinetics and –dynamics linked to a ...

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 Circadian Rhythms - SpringerLink

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

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 ...

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,.

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.

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 ...

Macroscopic Models for Human Circadian Rhythms - Sage Journals

Discussion. The m 2 ansatz is consistent with experimental measurements of the phase distribution of circadian neurons and allows for the ...

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 ...

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, ...

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, ...

Mathematical Modeling of Circadian/Performance Countermeasures ...

Effective human performance is dependent on the bodys synchronization of its circadian rhythm with environmental cues such as the light-dark cycle, sleep-wake ...

Mathematical modeling of circadian rhythms | Request PDF

Mathematical models of the human circadian system have been developed for predicting circadian phase (Asgari-Targhi and Klerman, 2019) . The most widely used ...

Mathematical Models of Sleep and Circadian Rhythms: A Case...

Overview of the 2-Process Model. Oscillations in 2 processes provide a predictive mathematical approach to defining sleep- and wake-related activities. Process ...