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In this article, we quantitatively study, through stochastic models, the efects of several intracellular phenomena, such as cell volume growth, cell division, gene replication as well as fuctuations of available RNA polymerases and…

Molecular Networks · Quantitative Biology 2020-02-18 Renaud Dessalles , Vincent Fromion , Philippe Robert

Gene expression consists in the synthesis of proteins from the information encoded on DNA. One of the two main steps of gene expression is the translation of messenger RNA (mRNA) into polypeptide sequences of amino acids. Here, by taking…

Proteins are a matter of dual nature. As a physical object, a protein molecule is a folded chain of amino acids with multifarious biochemistry. But it is also an instantiation along an evolutionary trajectory determined by the function…

Biomolecules · Quantitative Biology 2019-09-04 Jean-Pierre Eckmann , Jacques Rougemont , Tsvi Tlusty

Proteins are intricate molecular machines whose complexity arises from the heterogeneity of the amino acid building blocks and their dynamic network of many-body interactions. These nanomachines gain function when put in the context of a…

Biomolecules · Quantitative Biology 2023-12-14 John M. McBride , Tsvi Tlusty

A framework is presented for understanding the common character of proteins. Proteins are linear chain molecules. However, the simple model of a polymer viewed as spheres tethered together does not account for many of the observed…

Statistical Mechanics · Physics 2009-11-10 Jayanth R. Banavar , Amos Maritan

A model for studying the ultrametricity of the energy landscape in a disordered heteropolymer is presented. It is treated as a simplified model of a protein molecule in which amino acid residues are modeled as point masses. Pairwise…

Disordered Systems and Neural Networks · Physics 2026-03-16 A. Kh. Bikulov , A. P. Zubarev

Proteinoids, or thermal proteins, are inorganic entities formed by heating amino acids to their melting point and commencing polymerisation to form polymeric chains. Typically, their diameters range from 10 to 100 micron. Some amino acids…

Emerging Technologies · Computer Science 2023-02-13 Panagiotis Mougkogiannis , Neil Phillips , Andrew Adamatzky

Proteins constitute a large group of macromolecules with a multitude of functions for all living organisms. Proteins achieve this by adopting distinct three-dimensional structures encoded by the sequence of their constituent amino acids in…

Methodology · Statistics 2021-09-16 Mohammad Arashi , Najmeh Nakhaei Rad , Andriette Bekker , Wolf Dieter Schubert

We design toy protein mimicking a machine-like function of an enzyme. Using an insight gained by the study of conformation space of compact lattice polymers, we demonstrate the possibility of a large scale conformational rearrangement which…

Soft Condensed Matter · Physics 2009-11-07 Alexander L. Borovinskiy , Alexander Yu. Grosberg

Translation is an important process for prokaryotic and eukaryotic cells to produce necessary proteins for cell growth. Numerious experiments have been performed to explore the translational properties. Diverse models have also been…

Biological Physics · Physics 2015-02-10 Jingwei Li , Yunxin Zhang

A phenomenological model hamiltonian to describe the folding of a protein with any given sequence is proposed. The protein is thought of as a collection of pieces of helices; as a consequence its configuration space increases with the…

Soft Condensed Matter · Physics 2009-10-30 Pierpaolo Bruscolini

Biological functions stem from coordinated interactions among proteins, nucleic acids and small molecules. Mass spectrometry technologies for reliable, high throughput single-cell proteomics will add a new modality to genomics and enable…

Genomics · Quantitative Biology 2023-11-07 Andrew Leduc , Hannah Harens , Nikolai Slavov

Polymerases are protein enzymes that move along nucleic acid chains and catalyze template-based polymerization reactions during gene transcription and replication. The polymerases also substantially improve transcription or replication…

Biological Physics · Physics 2017-01-19 Jin Yu

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

The internal dynamics of strongly interacting systems and that of biomolecules such as proteins display several important analogies, despite the huge difference in their characteristic energy and length scales. For example, in all such…

Biological Physics · Physics 2015-05-30 Pietro Faccioli

Understanding how monomeric proteins fold under in vitro conditions is crucial to describing their functions in the cellular context. Significant advances both in theory and experiments have resulted in a conceptual framework for describing…

Soft Condensed Matter · Physics 2010-07-20 D. Thirumalai , Edward P. O'Brien , Greg Morrison , Changbong Hyeon

The rate of mRNA translation depends on the initiation, elongation, and termination rates of ribosomes along the mRNA. These rates depend on many "local" factors like the abundance of free ribosomes and tRNA molecules in the vicinity of the…

Subcellular Processes · Quantitative Biology 2021-02-25 Michael Margaliot , Wasim Huleihel , Tamir Tuller

The prediction of the three-dimensional native structure of proteins from the knowledge of their amino acid sequence, known as the protein folding problem, is one of the most important yet unsolved issues of modern science. Since the…

Biological Physics · Physics 2008-11-24 Pablo Echenique

In this work, we study a protein synthesis degradation process by defining a general mathematical model. Using generating function technique we present a method that allows exact calculation of joint probability distribution of protein…

Quantitative Methods · Quantitative Biology 2013-11-11 Diana David-Rus

Ribosomes are critical biomolecular nanomachines responsible for protein synthesis in all known organisms. The function and dynamics of ribosomes can be studied using molecular dynamics computer simulations. Although this task remains…

Biological Physics · Physics 2025-03-28 Josef Cikhart , Aneta Leskourová , Michal H. Kolář