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The function of proteins arises from cooperative interactions and rearrangements of their amino acids, which exhibit large-scale dynamical modes. Long-range correlations have also been revealed in protein sequences, and this has motivated…

Quantitative Methods · Quantitative Biology 2018-05-02 Sandipan Dutta , Jean-Pierre Eckmann , Albert Libchaber , Tsvi Tlusty

We propose a hybrid dynamical system approach to model the evolution of a pathogen that experiences different selective pressures according to a stochastic process. In every environment, the evolution of the pathogen is described by a…

Classical Analysis and ODEs · Mathematics 2019-03-25 Jozsef Z. Farkas , Peter Hinow , Jan Engelstädter

The concept of a fitness landscape is a powerful metaphor that offers insight into various aspects of evolutionary processes and guidance for the study of evolution. Until recently, empirical evidence on the ruggedness of these landscapes…

Populations and Evolution · Quantitative Biology 2013-01-18 Ivan G. Szendro , Martijn F. Schenk , Jasper Franke , Joachim Krug , J. Arjan G. M. de Visser

The primary structure of proteins, that is their sequence, represents one of the most abundant set of experimental data concerning biomolecules. The study of correlations in families of co--evolving proteins by means of an inverse…

Biomolecules · Quantitative Biology 2015-06-16 Sara Lui , Guido Tiana

Since protein mutations are the main driving force of evolution at the molecular level, a proper analysis of them (and the factors controlling them) will enable us to find a response to several crucial queries in evolutionary biology. Among…

Populations and Evolution · Quantitative Biology 2024-12-24 J. A. Vila

Functional effects of different mutations are known to combine to the total effect in highly nontrivial ways. For the trait under evolutionary selection (`fitness'), measured values over all possible combinations of a set of mutations yield…

Populations and Evolution · Quantitative Biology 2015-05-27 Jasper Franke , Alexander Klözer , J. Arjan G. M. de Visser , Joachim Krug

How adaptive evolution to one environmental stress improves or suppresses adaptation to another is an important problem in evolutionary biology. For instance, in microbiology, the evolution of bacteria to be resistant to different…

Populations and Evolution · Quantitative Biology 2023-02-23 Takuya U. Sato , Chikara Furusawa , Kunihiko Kaneko

Genetically identical cells in the same population can take on phenotypically variable states, leading to differentiated responses to external signals, such as nutrients and drug-induced stress. Many models and experiments have focused on a…

Molecular Networks · Quantitative Biology 2015-04-28 Thierry Mora , Aleksandra M. Walczak

An evolutionary search space can be smoothly transformed via a suitable change of basis; however, it can be difficult to determine an appropriate basis. In this paper, a method is proposed to select an optimum basis can be used to simplify…

Neural and Evolutionary Computing · Computer Science 2019-04-22 Junghwan Lee , Yong-Hyuk Kim

Mutations in proteins can have deleterious effects on a protein's stability and function, which ultimately causes particular diseases. Genetically inherited muscular dystrophies (MDs) include several genetic diseases, which cause increasing…

The capacity of proteins to interact specifically with one another underlies our conceptual understanding of how living systems function. Systems-level study of specificity in protein-protein interactions is complicated by the fact that the…

Biomolecules · Quantitative Biology 2009-11-13 Eric Deeds , orr Ashenberg , Jaline Gerardine , Eugene Shakhnovich

We consider a simple deterministic model which describes an asymmetric competition between an immune system with a specific and powerful response, and a virus with a broad toxicity and fast mutations. Interest in this model relies on the…

Quantitative Methods · Quantitative Biology 2011-01-17 Thierry Gobron , Mario Santoro , Livio Triolo

The enormous size and complexity of genotypic sequence space frequently requires consideration of coarse-grained sequences in empirical models. We develop scaling relations to quantify the effect of this coarse-graining on properties of…

Populations and Evolution · Quantitative Biology 2015-06-01 Michael Manhart , Alexandre V. Morozov

The interactions of a protein, its phase behavior, and ultimately, its ability to function, are all influenced by the interactions between the protein and its hydration waters. Here we study proteins with a variety of sizes, shapes,…

Chemical Physics · Physics 2018-11-08 Nicholas B. Rego , Erte Xi , Amish J. Patel

Viruses evolve in the background of host immune systems that exert selective pressure and drive viral evolutionary trajectories. This interaction leads to different evolutionary patterns in antigenic space. Examples observed in nature…

Populations and Evolution · Quantitative Biology 2020-11-20 Jacopo Marchi , Michael Lässig , Thierry Mora , Aleksandra M. Walczak

Chronic infections of the human immunodeficiency virus (HIV) create a very complex co-evolutionary process, where the virus tries to escape the continuously adapting host immune system. Quantitative details of this process are largely…

Populations and Evolution · Quantitative Biology 2022-07-27 Andrea Mazzolini , Thierry Mora , Aleksandra M Walczak

Understanding of how protein interaction networks (PIN) of living organisms have evolved or are organized can be the first stepping stone in unveiling how life works on a fundamental ground. Here we introduce a hybrid network model composed…

Molecular Networks · Quantitative Biology 2007-05-23 K. -I. Goh , B. Kahng , D. Kim

The evolution of various competing cell types in tissues, and the resulting persistent tissue population, is studied numerically and analytically in a particle-based model of active tissues. Mutations change the properties of cells in…

Populations and Evolution · Quantitative Biology 2024-06-03 Tobias Büscher , Nirmalendu Ganai , Gerhard Gompper , Jens Elgeti

Protein-protein interactions (PPIs) are crucial in regulating numerous cellular functions, including signal transduction, transportation, and immune defense. As the accuracy of multi-chain protein complex structure prediction improves, the…

Biomolecules · Quantitative Biology 2024-02-07 Chenqing Hua , Connor Coley , Guy Wolf , Doina Precup , Shuangjia Zheng

Fisher's geometric model was originally introduced to argue that complex adaptations must occur in small steps because of pleiotropic constraints. When supplemented with the assumption of additivity of mutational effects on phenotypic…

Populations and Evolution · Quantitative Biology 2017-06-12 Sungmin Hwang , Su-Chan Park , Joachim Krug