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Cell phenotype dynamic homeostasis contrasts with the inherent randomness of intracellular reactions. Although feedback control of master regulatory genes (MRG) is a key strategy for maintaining gene network expression ranges limited,…

Molecular Networks · Quantitative Biology 2025-08-13 Guilherme Giovanini , Cyro von Zuben de Valega Negrão , Ammar Alsinai , Alexandre Ferreira Ramos

In a generic neuron model, we present the linear response theory for the firing rate in response to both time dependent input currents and noise amplitudes. In both cases the signal transmission is strongly attenuated for frequencies above…

Biological Physics · Physics 2007-05-23 Bjoern Naundorf , Theo Geisel , Fred Wolf

A description for regulatory genetic network based on generalized potential energy is constructed. The potential energy is derived from the steady state solution of linearized Fokker-Plank equation, and the result is shown to be equivalent…

Biological Physics · Physics 2007-10-23 Ming-Chang Huang , Yu-tin Huang , Jinn-Wen Wu , Tien-Shen Chung

Gene expression has a stochastic component owing to the single molecule nature of the gene and the small number of copies of individual DNA binding proteins in the cell. We show how the statistics of such systems can be mapped on to quantum…

Disordered Systems and Neural Networks · Physics 2009-11-10 Masaki Sasai , Peter G. Wolynes

We analyze three simple genetic circuits which involve transcriptional regulation and feedback: the autorepressor, the switch and the repressilator, that consist of one, two and three genes, respectively. Such systems are commonly simulated…

Molecular Networks · Quantitative Biology 2007-05-23 Ofer Biham , Nathalie Q. Balaban , Adiel Loinger , Azi Lipshtat , Hagai B. Perets

When an individual's DNA is sequenced, sensitive medical information becomes available to the sequencing laboratory. A recently proposed way to hide an individual's genetic information is to mix in DNA samples of other individuals. We…

Information Theory · Computer Science 2024-11-05 Kayvon Mazooji , Roy Dong , Ilan Shomorony

We investigate the evolution of Boolean networks subject to a selective pressure which favors robustness against noise, as a model of evolved genetic regulatory systems. By mapping the evolutionary process into a statistical ensemble and…

Disordered Systems and Neural Networks · Physics 2012-04-11 Tiago P. Peixoto

Gene expression dynamics satisfying given input-output relationships were investigated by evolving the networks for an optimal response. We found three types of networks and corresponding dynamics, depending on the sensitivity of gene…

Molecular Networks · Quantitative Biology 2018-12-26 Masayo Inoue , Kunihiko Kaneko

Systems biology approaches combining theoretical modeling with experiments have been singularly successful in uncovering novel features of cellular phenomena. One such feature is that of binary gene expression in which the expression level…

Subcellular Processes · Quantitative Biology 2012-07-31 Indrani Bose

We quantify the influence of the topology of a transcriptional regulatory network on its ability to process environmental signals. By posing the problem in terms of information theory, we may do this without specifying the function…

Molecular Networks · Quantitative Biology 2015-06-26 Etay Ziv , Ilya Nemenman , Chris H. Wiggins

In physics of living systems, a search for relationships of a few macroscopic variables that emerge from many microscopic elements is a central issue. We evolved gene regulatory networks so that the expression of target genes (partial…

Biological Physics · Physics 2020-12-17 Tetsuhiro S. Hatakeyama , Kunihiko Kaneko

A single gene, regulating its own expression via a positive feedback loop, constitutes a common motif in gene regulatory networks and signalling cascades. Recent experiments on the development of competence in the bacterial population…

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

Imperfect molecular detection in single-cell experiments introduces technical noise that obscures the true stochastic dynamics of gene regulatory networks. While binomial models of molecular capture provide a principled description of…

Molecular Networks · Quantitative Biology 2025-12-03 Iryna Zabaikina , Ramon Grima

Gene products (RNAs, proteins) often occur at low molecular counts inside individual cells, and hence are subject to considerable random fluctuations (noise) in copy number over time. Not surprisingly, cells encode diverse regulatory…

Molecular Networks · Quantitative Biology 2015-10-01 Thierry Platini , Mohammad Soltani , Abhyudai Singh

Transcription factors are proteins that regulate gene activity by activating or repressing gene transcription. A special class of transcriptional repressors operates via a short-range mechanism, making local DNA regions inaccessible to…

Molecular Networks · Quantitative Biology 2022-04-13 F. E. Garbuzov , V. V. Gursky

The evolutionary origins of structural features in reconstructed gene-regulatory networks (GRNs) remain poorly understood, especially given the random aspects of gene expression. Here, we extend a classical model of GRN evolution to allow a…

Populations and Evolution · Quantitative Biology 2026-04-30 Leonardo Ivan Estrella Dzib , James Holehouse

We present a model of the evolution of control systems in a genome under environmental constraints. The model conceptually follows the Jacob and Monod model of gene control. Genes contain control elements which respond to the internal state…

Genomics · Quantitative Biology 2021-06-09 William Bains , Enrico Borriello , Dirk Schulze-Makuch

We investigate open- and closed-loop active control for aerodynamic drag reduction of a car model. Turbulent flow around a blunt-edged Ahmed body is examined at $Re_{H}\approx3\times10^{5}$ based on body height. The actuation is performed…

We consider the dynamics of a population of organisms containing two mutually inhibitory gene regulatory networks, that can result in a bistable switch-like behaviour. We completely characterize their local and global dynamics in the…

Molecular Networks · Quantitative Biology 2016-10-07 Michael C. Mackey , Marta Tyran-Kaminska

Cells use genetic switches to shift between alternate gene expression states, e.g., to adapt to new environments or to follow a developmental pathway. Here, we study the dynamics of switching in a generic-feedback on/off switch. Unlike…

Molecular Networks · Quantitative Biology 2015-05-27 Michael Assaf , Elijah Roberts , Zaida Luthey-Schulten