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All known terrestrial proteins are coded as continuous strings of ~20 amino acids. The patterns formed by the repetitions of elements in groups of finite sequences describes the natural architectures of protein families. We present a method…

Biomolecules · Quantitative Biology 2018-07-30 Pablo Turjanski , Diego U. Ferreiro

We develop a path-based approach to continuous-time random walks on networks with arbitrarily weighted edges. We describe an efficient numerical algorithm for calculating statistical properties of the stochastic path ensemble. After…

Populations and Evolution · Quantitative Biology 2014-08-19 Michael Manhart , Alexandre V. Morozov

An accurate estimation of the Protein Space size, in light of the factors that govern it, is a long-standing problem and of paramount importance in evolutionary biology, since it determines the nature of protein evolvability. A simple…

Populations and Evolution · Quantitative Biology 2020-08-27 Jorge A. Vila

Correlation patterns in multiple sequence alignments of homologous proteins can be exploited to infer information on the three-dimensional structure of their members. The typical pipeline to address this task, which we in this paper refer…

Biomolecules · Quantitative Biology 2015-06-18 Christoph Feinauer , Marcin J. Skwark , Andrea Pagnani , Erik Aurell

Proteins are the common constituents of all living cells. They are molecular machines that interact with each other as well as with other cell products and carry out a dizzying array of functions with distinction. These interactions follow…

Biomolecules · Quantitative Biology 2022-05-25 Tatjana Škrbić , Trinh Xuan Hoang , Achille Giacometti , Amos Maritan , Jayanth R. Banavar

The protein folding problem is stated and a list of properties that do not depend upon specific molecules is compiled and analyzed. The relationship of this analysis to future simulations is emphasized. The choice of power and time as…

Biological Physics · Physics 2017-09-26 Walter A. Simmons

Intracellular transport processes are essential to the healthy development of many organisms as well as more generally to healthy cellular function. The complex dynamics and interactions between protein molecules and filaments on different…

Dynamical Systems · Mathematics 2022-07-27 Maria-Veronica Ciocanel

Inverse protein folding, the process of designing sequences that fold into a specific 3D structure, is crucial in bio-engineering and drug discovery. Traditional methods rely on experimentally resolved structures, but these cover only a…

Biomolecules · Quantitative Biology 2023-11-27 Igor Melnyk , Aurelie Lozano , Payel Das , Vijil Chenthamarakshan

Cellular phenotype is characterized by different components such as cell size, protein content and cell cycle time. These are global variables that are the outcome of multiple internal microscopic processes. Accordingly, they display some…

Cell Behavior · Quantitative Biology 2018-05-16 Lee Susman , Maryam Kohram , Harsh Vashistha , Jeffrey T. Nechleba , Hanna Salman , Naama Brenner

The protein folding problem has been fundamentally transformed by artificial intelligence, evolving from static structure prediction toward the modeling of dynamic conformational ensembles and complex biomolecular interactions. This review…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Jingzhi Chen , Lijian Xu

Proteins are essential components of all living organisms and play a critical role in cellular survival. They have a broad range of applications, from clinical treatments to material engineering. This versatility has spurred the development…

Applications · Statistics 2025-03-28 Chenyu Ren , Daihai He , Jian Huang

The capability of accurate prediction of protein functions and properties is essential in the biotechnology industry, e.g. drug development and artificial protein synthesis, etc. The main challenges of protein function prediction are the…

Quantitative Methods · Quantitative Biology 2021-12-02 Wei-Cheng Tseng , Po-Han Chi , Jia-Hua Wu , Min Sun

We study folding dynamics of protein-like sequences on square lattice using physical move set that exhausts all possible conformational changes. By analytically solving the master equation, we follow the time-dependent probabilities of…

Biomolecules · Quantitative Biology 2016-08-16 Sëma Kachalo , Hsiao-Mei Lu , Jie Liang

Statistical models for families of evolutionary related proteins have recently gained interest: in particular pairwise Potts models, as those inferred by the Direct-Coupling Analysis, have been able to extract information about the…

Biomolecules · Quantitative Biology 2019-09-25 Kai Shimagaki , Martin Weigt

The native state structures of globular proteins are stable and well-packed indicating that self-interactions are favored over protein-solvent interactions under folding conditions. We use this as a guiding principle to derive the geometry…

Biomolecules · Quantitative Biology 2021-07-14 Tatjana Škrbić , Amos Maritan , Achille Giacometti , George D. Rose , Jayanth R. Banavar

Explainable and interpretable unsupervised machine learning helps understand the underlying structure of data. We introduce an ensemble analysis of machine learning models to consolidate their interpretation. Its application shows that…

Biomolecules · Quantitative Biology 2024-01-17 Anna Braghetto , Enzo Orlandini , Marco Baiesi

In sequence-based predictions, conventionally an input sequence is represented by a multiple sequence alignment (MSA) or a representation derived from MSA, such as a position-specific scoring matrix. Recently, inspired by the development in…

Quantitative Methods · Quantitative Biology 2021-10-18 Nabil Ibtehaz , Daisuke Kihara

{\it De novo} protein sequencing is essential for understanding cellular processes that govern the function of living organisms and all post-translational events and other sequence modifications that occur after a protein has been…

Biological Physics · Physics 2015-09-17 P. Boynton , M. Di Ventra

Molecular phenotypes are important links between genomic information and organismic functions, fitness, and evolution. Complex phenotypes, which are also called quantitative traits, often depend on multiple genomic loci. Their evolution…

Populations and Evolution · Quantitative Biology 2015-06-12 Armita Nourmohammad , Stephan Schiffels , Michael Laessig

This contribution focuses on the fascinating RNA molecule, its sequence-dependent folding driven by base-pairing interactions, the interplay between these interactions and natural evolution, and its multiple regulatory roles. The four of us…

Statistical Mechanics · Physics 2022-07-28 Simona Cocco , Andrea De Martino , Andrea Pagnani , Martin Weigt