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Much recent work has explored molecular and population-genetic constraints on the rate of protein sequence evolution. The best predictor of evolutionary rate is expression level, for reasons which have remained unexplained. Here, we…

Populations and Evolution · Quantitative Biology 2007-05-23 D. Allan Drummond , Jesse D. Bloom , Christoph Adami , Claus O. Wilke , Frances H. Arnold

Totally asymmetric simple exclusion process (TASEP) was originally introduced as a model for the traffic-like collective movement of ribosomes on a messenger RNA (mRNA) that serves as the track for the motor-like forward stepping of…

Statistical Mechanics · Physics 2019-08-14 Bhavya Mishra , Debashish Chowdhury

The phenomenon of protein synthesis has been modeled in terms of totally asymmetric simple exclusion processes (TASEP) since 1968. In this article, we provide a tutorial of the biological and mathematical aspects of this approach. We also…

Statistical Mechanics · Physics 2011-08-17 R. K. P. Zia , J. J. Dong , B. Schmittmann

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

TASEP modeling was shown to offer a parsimonious explanation for the experimentally confirmed ability of a single upstream Open Reading Frames (uORFs) to upregulate downstream translation during the integrated stress response. As revealed…

Dynamical Systems · Mathematics 2021-01-01 D. E. Andreev , P. V. Baranov , A. Milogorodskii , D. Rachinskii

We construct an algorithm that generates large, band-diagonal transition matrices for a totally asymmetric exclusion process (TASEP) with local hopping rate inhomogeneities. The matrices are diagonalized numerically to find steady-state…

Statistical Mechanics · Physics 2009-11-10 Tom Chou , Greg Lakatos

Gene transcription is a highly stochastic and dynamic process. As a result, the mRNA copy number of a given gene is heterogeneous both between cells and across time. We present a framework to model gene transcription in populations of cells…

Quantitative Methods · Quantitative Biology 2017-01-10 Justine Dattani , Mauricio Barahona

MicroRNAs can affect the protein translation using nine mechanistically different mechanisms, including repression of initiation and degradation of the transcript. There is a hot debate in the current literature about which mechanism and in…

Molecular Networks · Quantitative Biology 2013-04-09 A. Zinovyev , N. Morozova , A. N. Gorban , A. Harel-Belan

Proteins are polymers of amino acids. These macromolecules are synthesized by intracellular machines called ribosomes. Although the experimental investigation of protein synthesis has been a traditional area of research in molecular cell…

Biological Physics · Physics 2009-11-13 Aakash Basu , Debashish Chowdhury

Transcriptional pulsing has been observed in both prokaryotes and eukaryotes and plays a crucial role in cell to cell variability of protein and mRNA numbers. The issue is how the time constants associated with episodes of transcriptional…

Quantitative Methods · Quantitative Biology 2009-09-29 Srividya Iyer-Biswas , F. Hayot , C. Jayaprakash

During the initiation stage of protein synthesis, a ribosomal initiation complex (IC) is assembled on a messenger RNA (mRNA) template. In bacteria, the speed and accuracy of this assembly process are regulated by the complementary…

Biological Physics · Physics 2018-02-07 Dipanwita Ghanti , Kelvin Caban , Joachim Frank , Ruben L. Gonzalez, , Debashish Chowdhury

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

A theory for qualitative models of gene regulatory networks has been developed over several decades, generally considering transcription factors to regulate directly the expression of other transcription factors, without any intermediate…

Classical Analysis and ODEs · Mathematics 2016-07-20 D. Hudson , R. Edwards

This work applies the methods of signal processing and the concepts of control system design to model the maintenance and modulation of reading frame in the process of protein synthesis. The model shows how translational speed can modulate…

Genomics · Quantitative Biology 2007-12-14 Lalit Ponnala , Donald Bitzer , Anne Stomp , Mladen Vouk

This article describes our experiments in neural machine translation using the recent Tensor2Tensor framework and the Transformer sequence-to-sequence model (Vaswani et al., 2017). We examine some of the critical parameters that affect the…

Computation and Language · Computer Science 2018-05-03 Martin Popel , Ondřej Bojar

Reliable in-silico design of synthetic gene networks necessitates novel approaches to model the process of protein synthesis under the influence of limited resources. We present such a novel protein synthesis model which originates from the…

Molecular Networks · Quantitative Biology 2016-10-14 Wolfgang Halter , Jan Maximilian Montenbruck , Zoltan A. Tuza , Frank Allgöwer

We introduce a biologically detailed, stochastic model of gene expression describing the multiple rate-limiting steps of transcription, nuclear pre-mRNA processing, nuclear mRNA export, cytoplasmic mRNA degradation and translation of mRNA…

Molecular Networks · Quantitative Biology 2024-01-24 Muhan Ma , Juraj Szavits-Nossan , Abhyudai Singh , Ramon Grima

We discuss the problem of proteasomal degradation of proteins. Though proteasomes are important for all aspects of the cellular metabolism, some details of the physical mechanism of the process remain unknown. We introduce a stochastic…

Subcellular Processes · Quantitative Biology 2014-07-30 Denis S. Goldobin , Alexey Zaikin

To synthesize proteins in a cell, an mRNA has to work with a finite pool of ribosomes. When this constraint is included in the modeling by a totally asymmetric simple exclusion process (TASEP), non-trivial consequences emerge. Here, we…

Statistical Mechanics · Physics 2010-09-01 L. Jonathan Cook , R. K. P. Zia

In the last years, tens of thousands gene expression profiles for cells of several organisms have been monitored. Gene expression is a complex transcriptional process where mRNA molecules are translated into proteins, which control most of…

Biomolecules · Quantitative Biology 2009-11-11 T. Ochiai , J. C. Nacher , T. Akutsu