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Functional proteins must fold with some minimal stability to a structure that can perform a biochemical task. Here we use a simple model to investigate the relationship between the stability requirement and the capacity of a protein to…

Biomolecules · Quantitative Biology 2009-11-10 Jesse D Bloom , Claus O Wilke , Frances H Arnold , Christoph Adami

Understanding the relationship between protein sequence, function, and stability is a fundamental problem in biology. While high-throughput methods have produced large numbers of sequence-function pairs, functional assays do not distinguish…

Biomolecules · Quantitative Biology 2018-12-03 Jakub Otwinowski

Darwin's theory of evolution emphasized that positive selection of functional proficiency provides the fitness that ultimately determines the structure of life, a view that has dominated biochemical thinking of enzymes as perfectly…

Populations and Evolution · Quantitative Biology 2020-03-04 Kasper P. Kepp

Proteins, by virtue of their central role in most biological processes, represent one of the key subjects of the study of molecular evolution. Inherent to the indispensability of proteins for living cells is the fact that a given protein…

Biomolecules · Quantitative Biology 2007-05-23 Eric J. Deeds , Eugene I. Shakhnovich

Epistatic interactions between residues determine a protein's adaptability and shape its evolutionary trajectory. When a protein experiences a changed environment, it is under strong selection to find a peak in the new fitness landscape. It…

Populations and Evolution · Quantitative Biology 2016-04-01 Aditi Gupta , Christoph Adami

Protein evolution involves mutations occurring across a wide range of time scales. In analogy with disordered systems in statistical physics, this dynamical heterogeneity suggests strong correlations between mutations happening at distinct…

Biomolecules · Quantitative Biology 2025-07-15 Saverio Rossi , Leonardo Di Bari , Martin Weigt , Francesco Zamponi

Protein evolution underpins life, and understanding its behavior as a system is of great importance. However, our current models of protein evolution are arguably too simplistic to allow quantitative interpretation and prediction of…

A major goal of molecular evolutionary biology is to identify loci or regions of the genome under selection versus those evolving in a neutral manner. Correct identification allows accurate inference of the evolutionary process and thus…

Populations and Evolution · Quantitative Biology 2020-06-18 Fanny Pouyet , Kimberly J. Gilbert

Epistasis refers to the phenomenon in which phenotypic consequences caused by mutation of one gene depend on one or more mutations at another gene. Epistasis is critical for understanding many genetic and evolutionary processes, including…

Molecular Networks · Quantitative Biology 2014-11-25 Lin Xu , Brandon Barker , Zhenglong Gu

How typical elements that shape organisms, such as protein secondary structures, have evolved, or how evolutionarily susceptible/resistant they are to environmental changes, are significant issues in evolutionary biology, structural…

Biological Physics · Physics 2025-03-18 Tomoei Takahashi , George Chikenji , Kei Tokita , Yoshiyuki Kabashima

Emergence of new protein structures has proved difficult to trace in nature and engineer in the laboratory. However, one aspect of structure evolution has proved immensely helpful for determining the three-dimensional structure of proteins…

Populations and Evolution · Quantitative Biology 2017-05-24 Amy I. Gilson , Ahmee Marshall-Christensen , Jeong-Mo Choi , Eugene I. Shakhnovich

There is an intrinsic relationship between the molecular evolution in primordial period and the properties of genomes and proteomes of contemporary species. The genomic data may help us understand the driving force of evolution of life at…

Genomics · Quantitative Biology 2009-11-25 Dirson Jian Li , Shengli Zhang

We review the development of thermodynamic protein hydropathic scaling theory, starting from backgrounds in mathematics and statistical mechanics, and leading to biomedical applications. Darwinian evolution has organized each protein family…

Molecular Networks · Quantitative Biology 2021-05-27 J. C. Phillips

Epistasis describes the phenomenon that mutations at different loci do not have independent effects with regard to certain phenotypes. Understanding the global epistatic landscape is vital for many genetic and evolutionary theories. Current…

Molecular Networks · Quantitative Biology 2015-02-11 Brandon Barker , Lin Xu , Zhenglong Gu

One of the classical questions in evolutionary biology is how evolutionary processes are coupled at the gene and species level. With this motivation, we compare the topological properties (mainly the depth scaling, as a characterization of…

Populations and Evolution · Quantitative Biology 2011-07-26 E. Alejandro Herrada , Víctor M. Eguíluz , Emilio Hernández-García , Carlos M. Duarte

The ability to absorb mutations while retaining structure and function, or mutational robustness, is a remarkable property of natural proteins. In this Letter, we use a computational model of organismic evolution [Zeldovich et al, PLOS Comp…

Biomolecules · Quantitative Biology 2008-06-25 Konstantin B. Zeldovich , Eugene I. Shakhnovich

The protein folding problem must ultimately be solved on all length scales from the atomic up through a hierarchy of complicated structures. By analyzing the stability of the folding process using physics and mathematics, this paper shows…

Biological Physics · Physics 2015-05-28 Walter Simmons , Joel L. Weiner

Extensive Monte Carlo folding simulations for four proteins of various structural classes are carried out, using a single atomistic potential. In all cases, collapse occurs at a very early stage, and proteins fold into their native-like…

Statistical Mechanics · Physics 2009-11-10 Seung-Yeon Kim , Julian Lee , Jooyoung Lee

Neither of the two prevalent theories, namely thermodynamic stability and kinetic stability, provides a comprehensive understanding of protein folding. The thermodynamic theory is misleading because it assumes that free energy is the…

Biological Physics · Physics 2013-07-22 Ji Xu , Mengzhi Han , Ying Ren , Jinghai Li

The common understanding of protein evolution has been that neutral or slightly deleterious mutations are fixed by random drift, and evolutionary rate is determined primarily by the proportion of neutral mutations. However, recent studies…

Populations and Evolution · Quantitative Biology 2015-12-31 Sanzo Miyazawa