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We study the impact of light on the mammalian circadian system using the theory of phase response curves. Using a recently developed ansatz we derive a low-dimensional macroscopic model for the core circadian clock in mammals.…

神经元与认知 · 定量生物学 2019-10-14 Kevin M. Hannay , Daniel B. Forger , Victoria Booth

Stochastic reaction networks are mathematical models with a wide range of applications in biochemistry, ecology, and epidemiology, and are often complex to analyze. Except for some special cases, it is generally difficult to predict how the…

概率论 · 数学 2026-04-02 Daniele Cappelletti , Giulio Cuniberti , Paola Siri

Accurate estimation of the human circadian phase plays an important role in personalized health monitoring, but most existing wearable-based approaches operate retrospectively and require full circadian cycle recordings, leading to high…

信号处理 · 电气工程与系统科学 2026-05-05 Mengzhu Xu , Nemanja Cabrilo , Merel van Gilst , Jean-Paul Linnartz

We experimentally demonstrated that the stability of an atomic clock improves at fastest rate $\tau^{-1}$ (where $\tau$ is the averaging time) when the phase of a local oscillator is genuinely compared to the continuous phase of many atoms…

量子物理 · 物理学 2014-07-24 Nobuyasu Shiga , Michiaki Mizuno , Kohta Kido , Piyaphat Phoonthong , Kunihiro Okada

For cellular biochemical reaction systems where the numbers of molecules is small, significant noise is associated with chemical reaction events. This molecular noise can give rise to behavior that is very different from the predictions of…

分子网络 · 定量生物学 2009-11-13 Matthew Scott , Terence Hwa , Brian Ingalls

The study of synchronization in populations of coupled biological oscillators is fundamental to many areas of biology to include neuroscience, cardiac dynamics and circadian rhythms. Studying these systems may involve tracking the…

定量方法 · 定量生物学 2017-01-18 Kevin M. Hannay , Daniel B. Forger , Victoria Booth

Plants solve complex problems without centralized control, relying instead on growth-driven dynamics to sense, navigate, and optimize resource acquisition. This review presents a unified physical framework for understanding plant behavior…

其他凝聚态物理 · 物理学 2026-04-24 Yasmine Meroz

Elementary cellular automata (ECA) present iconic examples of complex systems. Though described only by one-dimensional strings of binary cells evolving according to nearest-neighbour update rules, certain ECA rules manifest complex…

量子物理 · 物理学 2024-03-21 Matthew Ho , Andri Pradana , Thomas J. Elliott , Lock Yue Chew , Mile Gu

We have developed a coarse-grained formulation for modeling the dynamic behavior of cells quantitatively, based on stochasticity and heterogeneity, rather than on biochemical reactions. We treat each reaction as a continuous-time stochastic…

分子网络 · 定量生物学 2015-05-28 Shunsuke Teraguchi , Yutaro Kumagai , Alexis Vandenbon , Shizuo Akira , Daron M Standley

Circadian clocks ubiquitous in life forms ranging bacteria to multi-cellular organisms, often exhibit intrinsic temperature compensation; the period of circadian oscillators is maintained constant over a range of physiological temperatures,…

分子网络 · 定量生物学 2014-07-21 Tetsuhiro S. Hatakeyama , Kunihiko Kaneko

Cellular transformations which involve a significant phenotypical change of the cell's state use bistable biochemical switches as underlying decision systems. In this work, we aim at linking cellular decisions taking place on a time scale…

细胞行为 · 定量生物学 2010-05-11 Steffen Waldherr , Jingbo Wu , Frank Allgöwer

We propose a revisited version of the in vivo model of the cyanobacterial circadian clock. Our aim is to address the lack of robustness predicted for the mutant cyanobacteria without transcriptional regulation of the original model. For…

分子网络 · 定量生物学 2022-04-11 Dorota Youmbi Fouego , Sophie de Buyl

Organisms often use cyclic changes in the concentrations of chemicals species to precisely time biological functions. Underlying these biochemical clocks are chemical reactions and transport processes, which are inherently stochastic.…

统计力学 · 物理学 2020-02-06 Clara del Junco , Suriyanarayanan Vaikuntanathan

The cyanobacterium Synechococcus elongatus uses both a protein phosphorylation cycle and a transcription-translation cycle to generate circadian rhythms that are highly robust against biochemical noise. We use stochastic simulations to…

分子网络 · 定量生物学 2012-02-16 David Zwicker , David K. Lubensky , Pieter Rein ten Wolde

Motivated by the observation of non-exponential run-time distributions of bacterial swimmers, we propose a minimal phenomenological model for taxis of active particles whose motion is controlled by an internal clock. The ticking of the…

生物物理 · 物理学 2020-07-23 Luis Gómez Nava , Robert Großmann , Marius Hintsche , Carsten Beta , Fernando Peruani

Complex systems are often characterized by the interplay of multiple interconnected dynamical processes operating across a range of temporal scales. This phenomenon is widespread in both biological and artificial scenarios, making it…

统计力学 · 物理学 2025-09-08 Giorgio Nicoletti , Daniel M. Busiello

A simple mathematical model of the aging process for long-lived organisms is considered. The key point in this model is the assumption that the body does not have internal clocks that count out the chronological time at scales of decades.…

其他定量生物学 · 定量生物学 2019-12-30 Yu. N. Morokov

Almost all organisms show some kind of time periodicity in their behavior. Especially in mammals the neurons of the suprachiasmatic nucleus form a biological clock regulating the activity-inactivity cycle of the animal. This clock is…

适应与自组织系统 · 物理学 2011-11-24 Domien G. M. Beersma , Henk W. Broer , Konstantinos Efstathiou , Kim A. Gargar , Igor Hoveijn

Theoretical studies have shown that stochasticity can affect the dynamics of ecosystems in counter-intuitive ways. However, without knowing the equations governing the dynamics of populations or ecosystems, it is difficult to ascertain the…

Protein sequestration motifs appear in many biological regulatory networks and introduce special properties into the network dynamics. Sequestration can be described as a mode of inactivation of a given protein by its binding to a second…

动力系统 · 数学 2025-06-05 Benjamin Böbel , Madalena Chaves , Jean-Luc Gouzé