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One of the characteristic features of genetic networks is their inherent robustness, that is, their ability to retain functionality in spite of the introduction of random errors. In this paper, we seek to better understand how robustness is…

Molecular Networks · Quantitative Biology 2009-04-29 Arnab Bhattacharyya , Bernhard Haeupler

Natural systems are remarkably robust and resilient, maintaining essential functions despite variability, uncertainty, and hostile conditions. Understanding these nonlinear, dynamic behaviours is challenging because such systems involve…

Mathematical Physics · Physics 2025-12-02 Daniele Proverbio , Rami Katz , Giulia Giordano

Determining design principles that boost robustness of interdependent networks is a fundamental question of engineering, economics, and biology. It is known that maximizing the degree correlation between replicas of the same node leads to…

Physics and Society · Physics 2019-08-21 Ivan Kryven , Ginestra Bianconi

Living systems maintain stable internal states despite environmental fluctuations. Absolute concentration robustness (ACR) is a striking homeostatic phenomenon in which the steady-state concentration of a species remains invariant despite…

Dynamical Systems · Mathematics 2025-11-04 Hyukpyo Hong , Diego Rojas La Luz , Gheorghe Craciun

BACKGROUND: An important question is whether evolution favors properties such as mutational robustness or evolvability that do not directly benefit any individual, but can influence the course of future evolution. Functionally similar…

Populations and Evolution · Quantitative Biology 2009-04-16 Jesse D. Bloom , Zhongyi Lu , David Chen , Alpan Raval , Ophelia S. Venturelli , Frances H. Arnold

Multistationarity in biological systems is a mechanism of cellular decision making. In particular, signaling pathways regulated by protein phosphorylation display features that facilitate a variety of responses to different biological…

Subcellular Processes · Quantitative Biology 2011-07-05 Elisenda Feliu , Carsten Wiuf

Enzyme is the major workhorse to carry out the diverse cellular functions. It catalyzes the biological reactions with a high specificity, with its topology playing a crucial role. For ecologically safe production of numerous bioproducts…

Biomolecules · Quantitative Biology 2021-06-04 Prabha Sankara Narayanan , Ashish Runthala

Geometric and structural constraints greatly restrict the selection of folds adapted by protein backbones, and yet, folded proteins show an astounding diversity in functionality. For structure to have any bearing on function, it is thus…

Biological Physics · Physics 2010-04-20 Brinda K. V. , Saraswathi Vishveshwara , Smitha Vishveshwara

We describe a large class of chemical reaction networks, those endowed with a subtle structural property called concordance. We show that the class of concordant networks coincides precisely with the class of networks which, when taken with…

Molecular Networks · Quantitative Biology 2011-09-15 Guy Shinar , Martin Feinberg

Spatial organization in metabolic pathways can arise from the interplay between enzymatic reaction kinetics and diffusion-driven instabilities. In this work we investigate how reversible enzyme--substrate binding influences pattern…

Molecular Networks · Quantitative Biology 2026-04-27 Faezeh Farivar

Recent studies on epistatic networks of model organisms have unveiled a certain type of modular property called monochromaticity in which the networks are clusterable into functional modules that interact with each other through the same…

Molecular Networks · Quantitative Biology 2013-05-30 Arda Halu , Ginestra Bianconi

The relationship between network topology and system dynamics has significant implications for unifying our understanding of the interplay among metabolic, gene-regulatory, and ecosystem network architecures. Here we analyze the stability…

Populations and Evolution · Quantitative Biology 2015-06-17 Cameron Smith , Raymond S. Puzio , Aviv Bergman

This paper addresses the decomposition of biochemical networks into functional modules that preserve their dynamic properties upon interconnection with other modules, which permits the inference of network behavior from the properties of…

Molecular Networks · Quantitative Biology 2014-12-03 Hari Sivakumar , Stephen R. Proulx , João P. Hespanha

Biochemical systems that express certain chemical species of interest at the same level at any positive equilibrium are called "absolute concentration robust" (ACR). These species behave in a stable, predictable way, in the sense that their…

Subcellular Processes · Quantitative Biology 2019-10-15 Daniele Cappelletti , Ankit Gupta , Mustafa Khammash

Robustness is an observable property for which a chemical reaction network (CRN) can maintain its functionalities despite the influence of different perturbations. In general, to verify whether a network is robust, it is necessary to…

Formal Languages and Automata Theory · Computer Science 2021-04-29 Lucia Nasti , Roberta Gori , Paolo Milazzo

Many dynamical systems arising in biology and other areas exhibit multistationarity (two or more positive steady states with the same conserved quantities). Although deciding multistationarity for a polynomial dynamical system is an…

Molecular Networks · Quantitative Biology 2019-02-08 Alicia Dickenstein , Mercedes Perez Millan , Anne Shiu , Xiaoxian Tang

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

A dynamical system obtains a wide variety of kinetic realizations, which is advantageous for the analysis of biochemical systems. A reaction network, derived from a dynamical system, may or may not possess some properties needed for a…

Molecular Networks · Quantitative Biology 2024-05-01 Dylan Antonio Talabis , Eduardo Mendoza

New advances in nano sciences open the door for scientists to study biological processes on a microscopic molecule-by-molecule basis. Recent single-molecule biophysical experiments on enzyme systems, in particular, reveal that enzyme…

Applications · Statistics 2012-09-28 Chao Du , S. C. Kou

Several different enzymes display an apparent diffusion coefficient that increases with the concentration of their substrate. Moreover, their motion becomes directed in substrate gradients. Currently, there are several competing models for…

Biological Physics · Physics 2020-09-23 Giovanni Giunta , Hamid Seyed-Allaei , Ulrich Gerland