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A mesoscopic continuum model is employed to analyse the transport mechanisms and structure formation during the redistribution stage of deposition experiments where organic molecules are deposited on a solid substrate with periodic…

Mesoscale and Nanoscale Physics · Physics 2018-07-24 Christoph Honisch , Te-Sheng Lin , Andreas Heuer , Uwe Thiele , Svetlana Gurevich

Realistic examples of reaction-diffusion phenomena governing spatial and spatiotemporal pattern formation are rarely isolated systems, either chemically or thermodynamically. However, even formulations of `open' reaction-diffusion systems…

Pattern Formation and Solitons · Physics 2021-05-14 Andrew L. Krause , Václav Klika , Philip K. Maini , Denis Headon , Eamonn A. Gaffney

We study analytically and numerically a model metabolic cycle composed of an arbitrary number of species of catalytically active particles. Each species converts a substrate into a product, the latter being used as the substrate by the next…

Soft Condensed Matter · Physics 2023-09-29 Vincent Ouazan-Reboul , Jaime Agudo-Canalejo , Ramin Golestanian

Metabolic pathways describe chains of enzymatic reactions. Their modelling is a key point to understand living systems. An enzymatic reaction is an interaction between one or several metabolites (substrates) and an enzyme (simple protein or…

Subcellular Processes · Quantitative Biology 2009-01-27 Charles Lales , N. Parisey , Jean-Pierre Mazat , Marie Beurton-Aimar

We discuss the shear viscosity of a Newtonian solution of catalytic enzymes and substrate molecules. The enzyme is modeled as a two-state dimer consisting of two spherical domains connected with an elastic spring. The enzymatic…

Soft Condensed Matter · Physics 2020-01-30 Yuto Hosaka , Shigeyuki Komura , David Andelman

Pattern formation in reaction-diffusion systems is of great importance in surface micro-patterning [Grzybowski et al. Soft Matter. 1, 114 (2005)], self-organization of cellular micro-organisms [Schulz et al. Annu. Rev. Microbiol. 55, 105…

Soft Condensed Matter · Physics 2015-05-19 S. G. Ayodele , F. Varnik , D. Raabe

In vivo and in vitro cells rely on the support of an underlying biocompatible substrate, such as the extracellular matrix or a culture substrate, to spread and proliferate. The mechanical and chemical properties of such structures play a…

Soft Condensed Matter · Physics 2021-11-04 Diogo E. P. Pinto , Margarida M. Telo da Gama , Nuno A. M. Araujo

This paper proposes a control theoretic framework to model and analyze the self-organized pattern formation of molecular concentrations in biomolecular communication networks, emerging applications in synthetic biology. In biomolecular…

Molecular Networks · Quantitative Biology 2019-01-08 Yutaka Hori , Hiroki Miyazako , Soichiro Kumagai , Shinji Hara

To develop and investigate detailed mathematical models of cellular metabolic processes is one of the primary challenges in systems biology. However, despite considerable advance in the topological analysis of metabolic networks, explicit…

Molecular Networks · Quantitative Biology 2007-05-23 Ralf Steuer , Thilo Gross , Joachim Selbig , Bernd Blasius

We show that the force generated by active enzyme molecules are strong enough to influence the dynamics of their surroundings under artificial crowded environments. We measured the behavior of polymer microparticles in a…

Soft Condensed Matter · Physics 2023-05-10 Arnab Maiti , Yuki Koyano , Hiroyuki Kitahata , Krishna Kanti Dey

We numerically examine a binary system of particles with repulsive interactions, where one species is driven by a rotating drive and the other is subjected either to a constant drive in a fixed direction or to a rotating drive that is out…

Soft Condensed Matter · Physics 2026-05-07 C. Reichhardt , C. J. O. Reichhardt

Recent experiments have revealed that the diffusivity of exothermic and fast enzymes is enhanced when they are catalytically active, and different physical mechanisms have been explored and quantified to account for this observation. We…

Biological Physics · Physics 2017-08-02 Pierre Illien , Xi Zhao , Krishna K. Dey , Peter J. Butler , Ayusman Sen , Ramin Golestanian

The metabolism is the motor behind the biological complexity of an organism. One problem of characterizing its large-scale structure is that it is hard to know what to compare it to. All chemical reaction systems are shaped by the same…

Molecular Networks · Quantitative Biology 2011-05-10 Petter Holme , Mikael Huss , Sang Hoon Lee

Enzymes are nano-scale machines that have evolved to drive chemical reactions out of equilibrium in the right place at the right time. Given the complexity and specificity of enzymatic function, bottom-up design of enzymes presents a…

Soft Condensed Matter · Physics 2025-05-28 Michalis Chatzittofi , Jaime Agudo-Canalejo , Ramin Golestanian

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

Cells and organisms follow aligned structures in their environment, a process that can generate persistent migration paths. Kinetic transport equations are a popular modelling tool for describing biological movements at the mesoscopic…

Cell Behavior · Quantitative Biology 2021-01-13 Nadia Loy , Thomas Hillen , Kevin John Painter

Chemotaxis of enzymes in response to gradients in the concentration of their substrate has been widely reported in recent experiments, but a basic understanding of the process is still lacking. Here, we develop a microscopic theory for…

Biological Physics · Physics 2021-04-07 Jaime Agudo-Canalejo , Pierre Illien , Ramin Golestanian

Many essential cellular processes, including cell division and the establishment of cell polarity during embryogenesis, are regulated by pattern-forming proteins. These proteins often need to bind to a substrate, such as the cell membrane,…

Soft Condensed Matter · Physics 2025-10-08 Amélie Chardac , Michael M. Norton , Jonathan Touboul , Guillaume Duclos

Robustness of spatial pattern against perturbations is an indispensable property of developmental processes for organisms, which need to adapt to changing environments. Although specific mechanisms for this robustness have been extensively…

Adaptation and Self-Organizing Systems · Physics 2017-04-05 Tetsuhiro S. Hatakeyama , Kunihiko Kaneko

[Background] Several studies have mentioned network modularity -- that a network can easily be decomposed into subgraphs that are densely connected within and weakly connected between each other -- as a factor affecting metabolic…

Molecular Networks · Quantitative Biology 2012-10-10 Petter Holme