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The impact of random fluctuations on the dynamical behavior a complex biological systems is a longstanding issue, whose understanding would shed light on the evolutionary pressure that nature imposes on the intrinsic noise levels and would…

分子网络 · 定量生物学 2018-01-26 Fabrizio Pucci , Marianne Rooman

It is well-known that gene activation/deactivation dynamics may be a major source of randomness in genetic networks, also in the case of large concentrations of the transcription factors. In this work, we investigate the effect of realistic…

分子网络 · 定量生物学 2014-10-28 Sebastiano de Franciscis , Giulio Caravagna , Alberto d'Onofrio

We present a novel mathematical approach to model noise in dynamical systems. We do so by considering dynamics of a chain of diffusively coupled Nagumo cells affected by noise. We show that the noise in transmembrane current can be…

动力系统 · 数学 2011-05-13 A. A. Samoletov , B. N. Vasiev

The Fano factor, an observable quantifying fluctuations of product generation by a single enzyme, can reveal information about the underlying reaction scheme. A lower bound on this Fano factor that depends on the thermodynamic affinity…

化学物理 · 物理学 2015-06-19 Andre C. Barato , Udo Seifert

Fluctuations in the measured mRNA levels of unperturbed cells under fixed conditions have often been viewed as an impediment to the extraction of information from expression profiles. Here, we argue that such expression fluctuations should…

分子网络 · 定量生物学 2007-05-23 William W. Chen , Jeremy L. England , Eugene I. Shakhnovich

We study the noise characteristics of stochastic oscillations in protein number dynamics of simple genetic oscillatory systems. Using the three-component negative feedback transcription regulatory system called the repressilator as a…

分子网络 · 定量生物学 2015-03-13 Byungjoon Min , K. -I. Goh , I. -M. Kim

Gene expression (GE) is an inherently random or stochastic or noisy process. The randomness in different steps of GE, e.g., transcription, translation, degradation, etc., leading to cell-to-cell variations in mRNA and protein levels. This…

分子网络 · 定量生物学 2021-01-12 Rajesh Karmakar , Amit Kumar Das

We present a generic analytical scheme for the quantification of fluctuations due to bifunctionality-induced signal transduction within the members of bacterial two-component system. The proposed model takes into account post-translational…

We address microscopic, agent based, and macroscopic, stochastic, modeling of the financial markets combining it with the exogenous noise. The interplay between the endogenous dynamics of agents and the exogenous noise is the primary…

统计金融 · 定量金融 2016-11-22 Vygintas Gontis

In development and homeostasis, multi-cellular systems exhibit spatial and temporal heterogeneity in their biochemical and mechanical properties. Nevertheless, it remains unclear how spatiotemporally heterogeneous forces affect the…

软凝聚态物质 · 物理学 2022-02-18 Takaki Yamamoto , Daniel M. Sussman , Tatsuo Shibata , M. Lisa Manning

Quantitative single cell measurements have shown that cell cycle duration (the time between cell divisions) for diverse cell types is a noisy variable. The underlying distribution is mean scalable with a universal shape for many cell types…

细胞行为 · 定量生物学 2016-03-07 Nash Rochman , Fangwei Si , Sean X. Sun

Biochemical oscillation systems often consist of negative feedback loops with repressive transcription regulation. Such systems have distinctive characteristics in comparison with ordinary chemical systems: i) the numbers of molecules…

分子网络 · 定量生物学 2015-06-11 Ryota Nishino , Takahiro Sakaue , Hiizu Nakanishi

The effects of intrinsic noise on stochastic delay systems is studied within an expansion in the inverse system size. We show that the stochastic nature of the underlying dynamics may induce oscillatory behaviour in parameter ranges where…

分子网络 · 定量生物学 2015-05-13 Tobias Galla

How can a microorganism adapt to a variety of environmental conditions despite there exists a limited number of signal transduction machineries? We show that for any growing cells whose gene expression is under stochastic fluctuations,…

分子网络 · 定量生物学 2015-05-13 Chikara Furusawa , Kunihiko Kaneko

Collective dynamics result from interactions among noisy dynamical components. Examples include heartbeats, circadian rhythms, and various pattern formations. Because of noise in each component, collective dynamics inevitably involve…

生物物理 · 物理学 2010-09-09 Naoki Masuda , Yoji Kawamura , Hiroshi Kori

The expression of one gene might be regulated by its corresponding protein, which is called autoregulation. Although gene regulation is a central topic in biology, autoregulation is much less studied. In general, it is extremely difficult…

分子网络 · 定量生物学 2023-03-31 Yue Wang , Siqi He

In this work, the dynamics of fluctuations in gene expression time series is investigated. By using collected data of gene expression from yeast and human organisms, we found that the fluctuations of gene expression level and its average…

生物大分子 · 定量生物学 2007-05-23 J. C. Nacher , T. Ochiai , T. Akutsu

Protein evolution involves mutations occurring across a wide range of time scales. In analogy with disordered systems in statistical physics, this dynamical heterogeneity suggests strong correlations between mutations happening at distinct…

生物大分子 · 定量生物学 2025-07-15 Saverio Rossi , Leonardo Di Bari , Martin Weigt , Francesco Zamponi

The regulation of cellular function is often controlled at the level of gene transcription. Such genetic regulation usually consists of interacting networks, whereby gene products from a single network can act to control their own…

生物物理 · 物理学 2009-11-06 Jeff Hasty , Joel Pradines , Milos Dolnik , J. J. Collins

In complex systems, the interplay between network structure and noise often leads to emergent phenomena. This study explores the effects of uneven coupling and asymmetric noise on the dynamics of feed-forward loop (FFL) motifs, essential…

动力系统 · 数学 2023-10-05 Gurpreet Jagdev , Na Yu