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A self-regulatory genetic circuit, where a protein acts as a positive regulator of its own production, is known to be a simplest form of biological network with a positive feedback loop. Although at least three components, DNA, RNA, and the…

Biological Physics · Physics 2014-08-13 Julian Lee

A simple stochastic model of a self regulating gene that displays bistable switching is analyzed. While on, a gene transcribes mRNA at a constant rate. Transcription factors can bind to the DNA and affect the gene's transcription rate.…

Statistical Mechanics · Physics 2016-03-08 Jay Newby

Bistable biochemical switches are ubiquitous in gene regulatory networks and signal transduction pathways. Their switching dynamics, however, are difficult to study directly in experiments or conventional computer simulations, because…

Molecular Networks · Quantitative Biology 2009-11-10 Rosalind J. Allen , Patrick B. Warren , Pieter Rein ten Wolde

The bistable gene regulatory switch controlling the transition from lysogeny to lysis in bacteriophage lambda presents a unique challenge to quantitative modeling. Despite extensive characterization of this regulatory network, the origin of…

Molecular Networks · Quantitative Biology 2015-05-13 Marco J. Morelli , Pieter Rein ten Wolde , Rosalind J. Allen

Synthetic biology is a growing interdisciplinary field, with far-reaching applications, which aims to design biochemical systems that behave in a desired manner. With the advancement of strand-displacement DNA computing, a large class of…

Molecular Networks · Quantitative Biology 2017-06-21 Tomislav Plesa , Konstantinos C. Zygalakis , David F. Anderson , Radek Erban

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

Bistability plays a central role in the gene regulatory networks (GRNs) controlling many essential biological functions, including cellular differentiation and cell cycle control. However, establishing the network topologies that can…

Molecular Networks · Quantitative Biology 2015-03-19 Dan Siegal-Gaskins , Maria Katherine Mejia-Guerra , Gregory D. Smith , Erich Grotewold

The design and implementation of regulation motifs ensuring robust perfect adaptation are challenging problems in synthetic biology. Indeed, the design of high-yield robust metabolic pathways producing, for instance, drug precursors and…

Optimization and Control · Mathematics 2021-12-21 Corentin Briat , Christoph Zechner , Mustafa Khammash

Background: MicroRNAs, post-transcriptional repressors of gene expression, play a pivotal role in gene regulatory networks. They are involved in core cellular processes and their dysregulation is associated to a broad range of human…

Molecular Networks · Quantitative Biology 2012-06-13 Carla Bosia , Matteo Osella , Mariama El Baroudi , Davide Corà , Michele Caselle

The central dogma of molecular biology is the principal framework for understanding how nucleic acid information is propagated and used by living systems to create complex biomolecules. Here, by integrating the structural and dynamic…

Biological Physics · Physics 2018-10-04 Jihoon Shin , Junghoon Kim , Sung Ha Park , Tai Hwan Ha

Riboswitches, structured elements in the untranslated regions of messenger RNAs, regulate gene expression by binding specific metabolites. We introduce a kinetic network model that describes the functions of riboswitches at the systems…

Molecular Networks · Quantitative Biology 2015-06-11 Jong-Chin Lin , D. Thirumalai

miRNAs serve as crucial post-transcriptional regulators in various essential cell fate decision. However, the contribution of the mRNA-miRNA mutual regulation to bistability is not fully understood. Here, we built a set of mathematical…

Molecular Networks · Quantitative Biology 2016-09-05 Xiao-Jun Tian , Hang Zhang , Jingyu Zhang , Jianhua Xing

Genetic switch systems with mutual repression of two transcription factors are studied using deterministic methods (rate equations) and stochastic methods (the master equation and Monte Carlo simulations). These systems exhibit bistability,…

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

Small regulatory RNAs (sRNAs) are short non-coding RNAs in bacteria capable of post-transcriptional regulation. sRNAs have recently gained attention as tools in basic and applied sciences for example to fine-tune genetic circuits or…

Quantitative Methods · Quantitative Biology 2024-04-18 Michel Brueck , Bork A. Berghoff , Daniel Schindler

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

In this paper, we study through mathematical modelling the combined effect of transcriptional and translational regulation by proteins and small noncoding RNAs (sRNA) in a genetic feedback motif that has an important role in the survival of…

Molecular Networks · Quantitative Biology 2018-02-16 Sutapa Mukherji

We investigate dynamics of a kinetic model of inhibitory autoregulation as exemplified when a protein inhibits its own production by interfering with its messenger RNA, known in molecular biology as translational autoregulation. We first…

Molecular Networks · Quantitative Biology 2019-01-09 Vivian Tyng , Michael E. Kellman

DNA strand displacement (SD) reactions are central to the operation of many synthetic nucleic acid systems, including molecular circuits, sensors, and machines. Over the years, a broad set of design frameworks has emerged to accommodate…

Biomolecules · Quantitative Biology 2025-10-13 Križan Jurinović , Merry Mitra , Rakesh Mukherjee , Thomas E. Ouldridge

Negative and positive transcriptional feedback loops are present in natural and synthetic genetic oscillators. A single gene with negative transcriptional feedback needs a time delay and sufficiently strong nonlinearity in the transmission…

Molecular Networks · Quantitative Biology 2011-12-23 Jesús M. Miró-Bueno , Alfonso Rodríguez-Patón

Bifunctional enzymes, which catalyze both the forward and reverse steps of a substrate modification reaction, arise naturally in bacterial two-component signaling systems and metabolic regulation. Beyond their well-known role in conferring…

Dynamical Systems · Mathematics 2026-05-13 Badal Joshi , Tung D. Nguyen , Matthew D. Johnston
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