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Homeostasis is a running theme in biology. Often achieved through feedback regulation strategies, homeostasis allows living cells to control their internal environment as a means for surviving changing and unfavourable environments. While…

Optimization and Control · Mathematics 2016-01-29 Corentin Briat , Ankit Gupta , Mustafa Khammash

We consider two processes that have been used to study gene duplication, Watterson's [Genetics 105 (1983) 745--766] double recessive null model and Lynch and Force's [Genetics 154 (2000) 459--473] subfunctionalization model. Though the…

Probability · Mathematics 2009-03-02 Rick Durrett , Lea Popovic

Based on the measurements of noise in gene expression performed during the last decade, it has become customary to think of gene regulation in terms of a two-state model, where the promoter of a gene can stochastically switch between an ON…

Molecular Networks · Quantitative Biology 2015-06-16 Georg Rieckh , Gašper Tkačik

The biological processes that execute complex multiple functions, such as cell cycle, must ensure the order of sequential events and keep the dynamic robustness against various fluctuations. Here, we examine the dynamic mechanism and the…

Molecular Networks · Quantitative Biology 2020-04-22 Yao Zhao , Dedi Wang , Zhiwen Zhang , Ying Lu , Xiaojing Yang , Qi Ouyang , Chao Tang , Fangting Li

This work concerns the question of how two important dynamical properties, oscillations and bistability, emerge in an important biological signaling network. Specifically, we consider a model for dual-site phosphorylation and…

Molecular Networks · Quantitative Biology 2019-03-08 Nida Obatake , Anne Shiu , Xiaoxian Tang , Angelica Torres

Here we investigate single-cell stochastic gene expression kinetics in a minimal coupled gene circuit with positive-plus-negative feedback. A triphasic stochastic bifurcation upon the increasing ratio of the positive and negative feedback…

Molecular Networks · Quantitative Biology 2019-11-27 Chen Jia , Le Yi Wang , George G. Yin , Michael Q. Zhang

Background: Using a statistical physics approach, we study the stochastic switching behavior of a model circuit of multisite phosphorylation and dephosphorylation with feedback. The circuit consists of a kinase and phosphatase acting on…

Molecular Networks · Quantitative Biology 2007-10-02 Supriya Krishnamurthy , Eric Smith , David Krakauer , Walter Fontana

Switch-like responses arising from bistability have been linked to cell signaling processes and memory. Revealing the shape and properties of the set of parameters that lead to bistability is necessary to understand the underlying…

Molecular Networks · Quantitative Biology 2023-04-26 Máté L. Telek , Elisenda Feliu

Feedback regulation in biochemical systems is fundamental to homeostasis, with failure causing disease or death. Recent work has found that cooperation between feedback and buffering---the use of reservoirs of molecules to maintain…

Optimization and Control · Mathematics 2018-02-02 Edward J. Hancock , Jordan Ang

We study simple mathematical models of gene expression to explore the possible origins of haploinsufficiency (HI). In a diploid organism, each gene exists in two copies and when one of these is mutated, the amount of proteins synthesized is…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Indrani Bose , Rajesh Karmakar

Gene regulatory networks (GRNs) are complex systems in which many genes regulate mutually to adapt the cell state to environmental conditions. In addition to function, the GRNs possess several kinds of robustness. This robustness means that…

Molecular Networks · Quantitative Biology 2023-12-05 Shintaro Nagata , Macoto Kikuchi

We study the dynamics of a mean-field Ising model whose coupling depends on the magnetization via a linear feedback function. A key feature of this linear feedback Ising model (FIM) is the possibility of temperature-induced bistability,…

Statistical Mechanics · Physics 2026-03-31 Yi-Ping Ma , Ivan Sudakow , P. L. Krapivsky , Sergey A. Vakulenko

The paper highlights the role of a positive feedback gating mechanism at the cellular level in the robust- ness and modulation properties of rhythmic activities at the circuit level. The results are presented in the context of half-center…

Neurons and Cognition · Quantitative Biology 2014-12-22 Julie Dethier , Guillaume Drion , Alessio Franci , Rodolphe Sepulchre

Recently, a large number of studies have been carried out on the early signatures of sudden regime shifts in systems as diverse as ecosystems, financial markets, population biology and complex diseases. Signatures of regime shifts in gene…

Molecular Networks · Quantitative Biology 2015-06-12 Mainak Pal , Amit Kumar Pal , Sayantari Ghosh , Indrani Bose

The so-called Mixed Feedback Loop (MFL) is a small two-gene network where protein A regulates the transcription of protein B and the two proteins form a heterodimer. It has been found to be statistically over-represented in statistical…

Molecular Networks · Quantitative Biology 2009-11-11 Paul Francois , Vincent Hakim

A dynamical mean-field theory is developed to analyze stochastic single-cell dynamics of gene expression. By explicitly taking account of nonequilibrium and nonadiabatic features of the DNA state fluctuation, two-time correlation functions…

Molecular Networks · Quantitative Biology 2009-11-13 Yurie Okabe , Yuu Yagi , Masaki Sasai

Feedback loops are essential for regulating cell proliferation and maintaining the delicate balance between cell division and cell death. Thanks to the exact solution of a few simple models of cell growth it is by now clear that stochastic…

Populations and Evolution · Quantitative Biology 2023-03-07 Antonio Francesco Zirattu , Marta Biondo , Matteo Osella , Michele Caselle

The cooperative behavior of neurons and neuronal areas associated with the synchronization behavior proves to be a fundamental neural mechanism. In addition, abnormal levels of synchronization have been related to unhealthy neural…

Biological Physics · Physics 2023-11-16 Bruno R. R. Boaretto

Stochastic gene expression has been implicated in a variety of cellular processes, including cell differentiation and disease. In this issue of Cell, Weinberger et al. (2005) take an integrated computational-experimental approach to study…

Molecular Networks · Quantitative Biology 2007-05-23 Leor S. Weinberger , John C. Burnett , Jared E. Toettcher , Adam P. Arkin , David V. Schaffer

This paper compares the auto-repressed gene to a simple one (a gene without auto-regulation) in terms of response time and output noise under the assumption of fixed metabolic cost. The analysis shows that, in the case of non-vanishing leak…

Molecular Networks · Quantitative Biology 2014-08-11 Nicolae Radu Zabet