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Multisite covalent modification of proteins is omnipresent in eukaryotic cells. A well-known example is the mitogen-activated protein kinase (MAPK) cascade, where in each layer of the cascade a protein is phosphorylated at two sites. It has…

Molecular Networks · Quantitative Biology 2015-05-13 Koichi Takahashi , Sorin Tanase-Nicola , Pieter Rein ten Wolde

Many drug delivery systems suffer from undesirable interactions with the host immune system. It has been experimentally established that covalent attachment (irreversible adsorption) of suitable macromolecules to the surface of the drug…

Biological Physics · Physics 2007-05-23 Radek Erban , Jonathan Chapman , Kerry D. Fisher , Ioannis G. Kevrekidis , Leonard W. Seymour

Many natural and artificial two-states signaling devices are connected forming networks. The information-processing potential of these systems is usually related to the response to weak external signals. Here, using a network of overdamped…

Computational Physics · Physics 2007-09-24 Juan A. Acebron , Sergi Lozano , Alex Arenas

A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell.…

Biological Physics · Physics 2015-05-30 Makiko Nonomura

Despite the importance of a thermodynamically stable structure with a conserved fold for protein function, almost all evolutionary models neglect site-site correlations that arise from physical interactions between neighboring amino acid…

Populations and Evolution · Quantitative Biology 2013-12-04 Andrew J. Bordner , Hans D. Mittelmann

Biological adhesion is a critical mechanical function of complex organisms operating at multiple scales. At the cellular scale, cell-cell adhesion is remarkably tunable to enable both cohesion and malleability during development,…

Soft Condensed Matter · Physics 2022-03-07 Dimitri Kaurin , Pradeep K. Bal , Marino Arroyo

The influence of structural constraints on the relaxation dynamics of three polyurea networks with varying degree of crosslinking, has been studied by means of a thorough analysis of broadband dielectric spectroscopy measurements. Two…

Soft Condensed Matter · Physics 2018-10-03 Nerea Sebastián , Christophe Contal , Antoni Sánchez-Ferrer , Marco Pieruccini

A reduced model, which can fold both helix and sheet structures, is proposed to study the problem of protein folding. The goal of this model is to find an unbiased effective potential that has included the effects of water and at the same…

Soft Condensed Matter · Physics 2007-05-23 Nan-yow Chen

Path integrals describing quantum many-body systems can be calculated with Monte Carlo sampling techniques, but average quantities are often subject to signal-to-noise ratios that degrade exponentially with time. A phase-reweighting…

High Energy Physics - Lattice · Physics 2017-07-12 Michael L. Wagman , Martin J. Savage

It seems that the literature suggests to go in two opposing directions simultaneously. On the one hand, many papers construct basis-independent quantities, since exactly these quantities appear in the expressions for observables. This means…

High Energy Physics - Phenomenology · Physics 2023-10-26 Simonas Draukšas

The binding between proteins and ligands plays a crucial role in the realm of drug discovery. Previous deep learning approaches have shown promising results over traditional computationally intensive methods, but resulting in poor…

Biomolecules · Quantitative Biology 2023-11-29 Shikun Feng , Minghao Li , Yinjun Jia , Weiying Ma , Yanyan Lan

Conformational barcodes tag functional sites of proteins, and are decoded by interacting molecules transmitting the incoming signal. Conformational barcodes are modified by all co-occurring allosteric events induced by post-translational…

Molecular Networks · Quantitative Biology 2014-06-27 Kristof Z. Szalay , Ruth Nussinov , Peter Csermely

We propose a model for cell polarization as a response to an external signal which results in a system of PDEs for different variants of a protein on the cell surface and interior respectively. We study stationary states of this model in…

Analysis of PDEs · Mathematics 2019-02-18 Barbara Niethammer , Matthias Röger , Juan J. L. Velázquez

The Hill coefficient is often used as a direct measure of the cooperativity of binding processes. It is an essential tool for probing properties of reactions in many biochemical systems. Here we analyze existing experimental data and…

Biological Physics · Physics 2012-08-31 M. Sheinman , Y. Kafri

Signaling molecules play an important role for many cellular functions. We investigate here a general system of two membrane reaction-diffusion equations coupled to a diffusion equation inside the cell by a Robin-type boundary condition and…

Analysis of PDEs · Mathematics 2015-06-16 Andreas Rätz , Matthias Röger

An incoherent feed-forward loop (IFFL) is a network motif known for its ability to accelerate responses and generate pulses. Though functions of IFFLs are well studied, most previous computational analysis of IFFLs used ordinary…

Molecular Networks · Quantitative Biology 2020-09-29 Junmin Wang , Calin Belta , Samuel A. Isaacson

We present a new simulation technique to study systems of polymers functionalized by reactive sites that bind/unbind forming reversible linkages. Functionalized polymers feature self-assembly and responsive properties that are unmatched by…

Soft Condensed Matter · Physics 2018-04-18 Bernardo Oyarzún , Bortolo Matteo Mognetti

Many cellular and subcellular biological processes can be described in terms of diffusing and chemically reacting species (e.g. enzymes). Such reaction-diffusion processes can be mathematically modelled using either deterministic…

Biological Physics · Physics 2015-06-26 Radek Erban , S. Jonathan Chapman

This note considers a system in which three ligands can independently bind to a scaffold. Such systems arise in diverse applications, including immunotherapy and synthetic biology. It is shown that there are unique steady states in each…

Biological Physics · Physics 2025-09-05 Eduardo D. Sontag

Allostery, the phenomenon by which the perturbation of a molecule at one site alters its behavior at a remote functional site, enables control over biomolecular function. Allosteric modulation is a promising avenue for drug discovery and is…

Biological Physics · Physics 2025-05-15 Maximilian Vossel , Bert L. de Groot , Aljaž Godec