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In this manuscript we propose a mathematical framework to couple transcription and translation in which mRNA production is described by a set of master equations while the dynamics of protein density is governed by a random differential…

Subcellular Processes · Quantitative Biology 2020-07-30 Guilherme C. P. Innocentini , Michael Forger , Ovidiu Radulescu , Fernando Antoneli

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

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

Stochastic modeling of transcription is a classic yet long-standing problem in theoretical biophysics. The lack of unified results and a computationally efficient approach for a general, fine-grained transcription model has confined…

Biological Physics · Physics 2025-11-17 Yuntao Lu , Yunxin Zhang

Conformational dynamics is crucial for ribonucleic acid (RNA) function. Techniques such as nuclear magnetic resonance, cryo-electron microscopy, small- and wide-angle X-ray scattering, chemical probing, single-molecule F\"orster resonance…

Biomolecules · Quantitative Biology 2025-01-31 Mattia Bernetti , Giovanni Bussi

RNA sequencing (RNA-seq) is the conventional genome-scale approach used to capture the expression levels of all detectable genes in a biological sample. This is now regularly used for population-based studies designed to identify genetic…

Genomics · Quantitative Biology 2026-05-25 Christopher Thron , Farhad Jafari

Bacteria reside in constantly changing environments and require rapid and precise adjustments of gene expression to ensure survival. Small regulatory RNAs (sRNAs) are a crucial element that bacteria utilize to achieve this. sRNAs are short…

Molecular Networks · Quantitative Biology 2024-11-26 Aviezer Silverman , Sahar Melamed

A detailed stochastic model of single-gene auto-regulation is established and its solutions are explored when mRNA dynamics is fast compared with protein dynamics and in the opposite regime. The model includes all the sources of randomness…

Biological Physics · Physics 2015-06-03 Tomás Aquino , Elsa Abranches , Ana Nunes

RNA molecules follow a succession of enzyme-mediated processing steps from transcription until maturation. The participating enzymes, for example the spliceosome for mRNAs and Drosha and Dicer for microRNAs, are also produced in the cell…

Quantitative Methods · Quantitative Biology 2015-06-15 Filippos D. Klironomos , Juliette de Meaux , Johannes Berg

Under certain cellular conditions, transcription and mRNA translation in prokaryotes appear to be "coupled," in which the formation of mRNA transcript and production of its associated protein are temporally correlated. Such…

Subcellular Processes · Quantitative Biology 2026-05-12 Xiangting Li , Tom Chou

Transcriptional and post-transcriptional regulation shape tissue-type-specific proteomes, but their relative contributions remain contested. Estimates of the factors determining protein levels in human tissues do not distinguish between (i)…

Genomics · Quantitative Biology 2017-05-15 Alexander Franks , Edoardo Airoldi , Nikolai Slavov

My analysis uses methods developed for data mining microarray experiments, adapted for ageing research. Methods bridge knowledge of statistical mechanics with data mining methods developed in statistical mathematics. Analyses can reveal how…

Quantitative Methods · Quantitative Biology 2012-12-11 Diana David-Rus

RNA interference (RNAi) is an endogenous cellular process in which small double-stranded RNAs lead to the destruction of mRNAs with complementary nucleoside sequence. With the production of RNAi libraries, large-scale RNAi screening in…

We consider a model of mRNA production governed by the dynamics of a gene that exists in three possible states -- inactive, poised and active. The transitions between the adjacent states are controlled by stochastic processes characterized…

Dynamical Systems · Mathematics 2022-05-20 Boris Rubinstein , Jay Unruh , Julia Zeitlinger

RNA function is intimately related to its structural dynamics. Molecular dynamics simulations are useful for exploring biomolecular flexibility but are severely limited by the accessible timescale. Enhanced sampling methods allow this…

Biomolecules · Quantitative Biology 2018-02-06 Vojtěch Mlýnský , Giovanni Bussi

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

Intrinsic transcriptional noise induced by operator fluctuations is investigated with a simple spin like stochastic model. The effects of transcriptional fluctuations in protein synthesis is probed by coupling transcription and translation…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Guilherme da C. P. Innocentini , Jose E. M. Hornos

In the recent paper of Valleriani {\it et al} [Phys. Rev. E {\bf 83}, 042903 (2011)], a simple model for describing the translation of messenger RNA (mRNA) by ribosomes is presented, and an expression of the translational ratio $r$, defined…

Biological Physics · Physics 2015-05-30 Yunxin Zhang

RNA velocity is an important model that combines cellular spliced and unspliced RNA counts to infer dynamical properties of various regulatory functions. Despite its wide applicability and many variants used in practice, the model has not…

Dynamical Systems · Mathematics 2026-01-06 Boya Hou , Maxim Raginsky , Abhishek Pandey , Olgica Milenkovic

From the response to external stimuli to cell division and death, the dynamics of living cells is based on the expression of specific genes at specific times. The decision when to express a gene is implemented by the binding and unbinding…

Molecular Networks · Quantitative Biology 2009-11-13 Johannes Berg