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We show that the protein-protein interaction networks can be surprisingly well described by a very simple evolution model of duplication and divergence. The model exhibits a remarkably rich behavior depending on a single parameter, the…

Molecular Networks · Quantitative Biology 2009-11-10 I. Ispolatov , P. L. Krapivsky , A. Yuryev

Motivation: Protein interactions are fundamental building blocks of biochemical reaction systems underlying cellular functions. The complexity and functionality of such systems emerge not from the protein interactions themselves but from…

Molecular Networks · Quantitative Biology 2011-06-15 Johannes Köster , Eli Zamir , Sven Rahmann

Understanding protein-protein interactions is central to our understanding of almost all complex biological processes. Computational tools exploiting rapidly growing genomic databases to characterize protein-protein interactions are…

Quantitative Methods · Quantitative Biology 2016-10-28 Thomas Gueudré , Carlo Baldassi , Marco Zamparo , Martin Weigt , Andrea Pagnani

The capacity to resist attacks from the environment is crucial to the survival of all organisms. We quantitatively analyze the susceptibility of protein interaction networks of numerous organisms to random and malicious attacks. We find for…

Computational Physics · Physics 2010-10-19 Christian M. Schneider , Roberto F. S. Andrade , Troy Shinbrot , Hans J. Herrmann

We study the formation of protein-protein encounter complexes with a Langevin equation approach that considers direct, steric and thermal forces. As three model systems with distinctly different properties we consider the pairs…

Biomolecules · Quantitative Biology 2009-11-13 Jakob Schluttig , Denitsa Alamanova , Volkhard Helms , Ulrich S. Schwarz

A protein's function depends critically on its conformational ensemble, a collection of energy weighted structures whose balance depends on temperature and environment. Though recent deep learning (DL) methods have substantially advanced…

Biomolecules · Quantitative Biology 2026-01-09 Myeongsang Lee , Lauren L. Porter

Proteins created by combinatorial methods in vitro are an important source of information for understanding sequence-structure-function relationships. Alignments of folded proteins from combinatorial libraries can be analyzed using methods…

Biomolecules · Quantitative Biology 2007-05-23 Jeffrey B. Endelman , Jesse D. Bloom , Christopher R. Otey , Marco Landwehr , Frances H. Arnold

Cellular functions are established through biological evolution, but are constrained by the laws of physics. For instance, the physics of protein folding limits the lengths of cellular polypeptide chains. Consequently, many cellular…

Biological Physics · Physics 2019-07-09 Pablo Sartori , Stanislas Leibler

Numerous experiments demonstrate a high level of promiscuity and structural disorder in organismal proteomes. Here we ask the question what makes a protein promiscuous, i.e., prone to non-specific interactions, and structurally disordered.…

Biomolecules · Quantitative Biology 2011-05-10 Ariel Afek , Eugene I. Shakhnovich , David B. Lukatsky

In this work we employ various methods of analysis (unfolding simulations and comparative analysis of structures and sequences of proteomes of thermophilic organisms) to show that organisms can follow two major strategies of thermophilic…

Biomolecules · Quantitative Biology 2007-05-23 Igor N. Berezovsky , Eugene I. Shakhnovich

Only about 1,000 qualitatively different protein folds are believed to exist in nature. Here, we review theoretical studies which suggest that some folds are intrinsically more designable than others, {\it i.e.} are lowest energy states of…

Statistical Mechanics · Physics 2007-05-23 Ned Wingreen , Hao Li , Chao Tang

Specific interactions are a hallmark feature of self-assembly and signal-processing systems in both synthetic and biological settings. Specificity between components may arise from a wide variety of physical and chemical mechanisms in…

Soft Condensed Matter · Physics 2016-09-28 Miriam H. Huntley , Arvind Murugan , Michael P. Brenner

Models of protein energetics which neglect interactions between amino acids that are not adjacent in the native state, such as the Go model, encode or underlie many influential ideas on protein folding. Implicit in this simplification is a…

Biomolecules · Quantitative Biology 2009-10-08 Brian C. Gin , Juan P. Garrahan , Phillip L. Geissler

In this work we develop a theory of interaction of randomly patterned surfaces as a generic prototype model of protein-protein interactions. The theory predicts that pairs of randomly superimposed identical (homodimeric) random patterns…

Biomolecules · Quantitative Biology 2009-11-13 D. B. Lukatsky , K. B. Zeldovich , E. I. Shakhnovich

Integral membrane proteins deform the surrounding bilayer creating long-ranged forces that influence distant proteins. These forces can be attractive or repulsive, depending on the proteins' shape, height, contact angle with the bilayer, as…

Statistical Mechanics · Physics 2007-05-23 Tom Chou , Ken S. Kim , George Oster

Since proteins carry out biological processes by interacting with other proteins, analyzing the structure of protein-protein interaction (PPI) networks could explain complex biological mechanisms, evolution, and disease. Similarly, studying…

Molecular Networks · Quantitative Biology 2010-04-22 Vesna Memisevic , Tijana Milenkovic , Natasa Przulj

We consider a model for the dynamics of active cells interacting with their quiescent counterparts under the influence of acidity characterized by proton concentration. The active cells perform nonlinear diffusion and infer proliferation or…

Analysis of PDEs · Mathematics 2025-11-04 Maria Eckardt , Christina Surulescu

We develop a simple but rigorous model of protein-protein association kinetics based on diffusional association on free energy landscapes obtained by sampling configurations within and surrounding the native complex binding funnels. Guided…

Biomolecules · Quantitative Biology 2007-05-23 Maximilian Schlosshauer , David Baker

The sensitivity (i.e. dynamic response) of complex networked systems has not been well understood, making difficult to predict whether new macroscopic dynamic behavior will emerge even if we know exactly how individual nodes behave and how…

Systems and Control · Computer Science 2016-10-18 Marco Tulio Angulo , Gabor Lippner , Yang-Yu Liu , Albert-László Barabási

Protein-protein interactions (PPIs) are fundamental to numerous cellular processes, and their characterization is vital for understanding disease mechanisms and guiding drug discovery. While protein language models (PLMs) have demonstrated…