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Some genes can promote or repress their own expressions, which is called autoregulation. Although gene regulation is a central topic in biology, autoregulation is much less studied. In general, it is extremely difficult to determine the…

Molecular Networks · Quantitative Biology 2022-08-30 Yue Wang , Siqi He

In this paper, we consider two stochastic models of gene expression in prokaryotic cells. In the first model, sixteen biochemical reactions involved in transcription, translation and transcriptional regulation in the presence of inducer…

Condensed Matter · Physics 2007-05-23 Indrani Bose , Rajesh Karmakar , Siddhartha Roy

In multicellular organisms, several cell states coexist. For determining each cell type, cell-cell interactions are often essential, in addition to intracellular gene expression dynamics. Based on dynamical systems theory, we propose a…

Cell Behavior · Quantitative Biology 2007-12-05 Akihiko Nakajima , Kunihiko Kaneko

Mixed feedback loops combining transcriptional and post-transcriptional regulations are common in cellular regulatory networks. They consist of two genes, encoding a transcription factor and a small non-coding RNA (sRNA), which mutually…

Molecular Networks · Quantitative Biology 2015-06-11 Mor Nitzan , Yishai Shimoni , Oded Rosolio , Hanah Margalit , Ofer Biham

Cells often exhibit different and stable phenotypes from the same DNA sequence. Robustness and plasticity of such cellular states are controlled by diverse transcriptional and epigenetic mechanisms, among them the modification of…

Molecular Networks · Quantitative Biology 2015-06-18 Daniel Jost

Delay is an inherent feature of genetic regulatory networks. It represents the time required for the assembly of functional regulator proteins. The protein production process is complex, as it includes transcription, translocation,…

Subcellular Processes · Quantitative Biology 2025-12-29 Sean Campbell , Courtney C. White , Amanda M. Alexander , William Ott

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 explain the principles of gene expression pattern stabilization in systems of interacting, diffusible morphogens, with dynamically established source regions. Using a reaction-diffusion model with step-function production term, we…

Biological Physics · Physics 2023-03-02 M. Majka , R. D. J. G. Ho , M. Zagorski

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

This paper analyzes, in the context of a prokaryotic cell, the stochastic variability of the number of proteins when there is a control of gene expression by an autoregulation scheme. The goal of this work is to estimate the efficiency of…

Molecular Networks · Quantitative Biology 2016-07-15 Renaud Dessalles , Vincent Fromion , Philippe Robert

Timely up- or down-regulation of gene expression is crucial for cellular differentiation and function. While gene upregulation via transcriptional activators has been extensively investigated, gene silencing remains understudied, especially…

Biological Physics · Physics 2025-09-15 Massimiliano Semeraro , Giuseppe Negro , Davide Marenduzzo , Giada Forte

The aim of this paper is two-fold. First, we propose a new computational method to investigate the particularities of evolution. Second, we apply this method to a model of gene regulatory networks (GRNs) and explore the evolution of…

Molecular Networks · Quantitative Biology 2022-01-21 Tadamune Kaneko , Macoto Kikuchi

Expression level is known to be a strong determinant of a protein's rate of evolution. But the converse can also be true: evolutionary dynamics can affect expression levels of proteins. Having implications in both directions fosters the…

Populations and Evolution · Quantitative Biology 2021-06-09 Jacob Moran , Devon Finlay , Mikhail Tikhonov

We study the oscillatory behaviour of a gene regulatory network with interlinked positive and negative feedback loop. Frequency and amplitude are two important properties of oscillation. Studied network produces two different modes of…

Molecular Networks · Quantitative Biology 2015-12-21 Rajesh Karmakar

Much of the genome is expressed in the vertebrate brain, with individual genes exhibiting different spatially-varying patterns of expression. These variations are not independent, with pairs of genes exhibiting complex patterns of…

Quantitative Methods · Quantitative Biology 2012-01-06 Pascal Grange , Jason Bohland , Hemant Bokil , Sacha Nelson , Benjamin Okaty , Ken Sugino , Lydia Ng , Michael Hawrylycz , Partha P. Mitra

Interactions between genes and gene products give rise to complex circuits that enable cells to process information and respond to external signals. Theoretical studies often describe these interactions using continuous, stochastic, or…

Molecular Networks · Quantitative Biology 2007-05-23 Madalena Chaves , Reka Albert , Eduardo D. Sontag

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

Feedback loops are major components of biochemical systems. Many systems show multiple such (positive or negative) feedback loops. Nevertheless, very few quantitative analyses address the question how such multiple feedback loops evolved.…

Quantitative Methods · Quantitative Biology 2010-03-08 M. Hafner , H. Koeppl , A. Wagner

Evolving genomes increase a number of their genes by gene duplications. To escape degradation in a functionless pseudogene, any gene duplicate needs to be guarded by negative (purifying) selection from otherwise inevitable fixation of…

Populations and Evolution · Quantitative Biology 2007-05-23 Dmitri Parkhomchuk , Sergei Rodin

Self-regulatory models are common in nature, as described e.g. in (\cite{mur}), (\cite{ha}) and (\cite{Gb}).\\ Let us consider a system made up of a number of glands as a motivation. Each gland secretes a hormone that allows secretion in…

Dynamical Systems · Mathematics 2016-10-28 Pablo Amster , Carlos Alliera