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Bifunctional enzymes, which catalyze both the forward and reverse steps of a substrate modification reaction, arise naturally in bacterial two-component signaling systems and metabolic regulation. Beyond their well-known role in conferring…

Dynamical Systems · Mathematics 2026-05-13 Badal Joshi , Tung D. Nguyen , Matthew D. Johnston

Substrate modification networks are ubiquitous in living, biochemical systems. A higher-level hypergraph "skeleton" captures key information about which substrates are transformed in the presence of modification-specific enzymes. Many…

Molecular Networks · Quantitative Biology 2025-11-18 Badal Joshi , Tung D. Nguyen

Many reaction networks arising in applications are multistationary, that is, they have the capacity for more than one steady state; while some networks exhibit absolute concentration robustness (ACR), which means that some species…

Dynamical Systems · Mathematics 2024-11-20 Nidhi Kaihnsa , Tung Nguyen , Anne Shiu

Robustness of biochemical systems has become one of the central questions in Systems Biology, although it is notoriously difficult to formally capture its multifaceted nature. Maintenance of normal system function depends not only on the…

Molecular Networks · Quantitative Biology 2012-03-28 Jost Neigenfind , Sergio Grimbs , Zoran Nikoloski

For reaction networks arising in systems biology, the capacity for two or more steady states, that is, multistationarity, is an important property that underlies biochemical switches. Another property receiving much attention recently is…

Probability · Mathematics 2023-01-26 Badal Joshi , Nidhi Kaihnsa , Tung D. Nguyen , Anne Shiu

The nonlinearities found in molecular networks usually prevent mathematical analysis of network behaviour, which has largely been studied by numerical simulation. This can lead to difficult problems of parameter determination. However,…

Molecular Networks · Quantitative Biology 2012-07-17 R. L. Karp , M. Pérez Millán , T. Dasgupta , A. Dickenstein , J. Gunawardena

In a reaction network, the concentration of a species with the property of dynamic absolute concentration robustness (dynamic ACR) converges to the same value independent of the overall initial values. This property endows a biochemical…

Dynamical Systems · Mathematics 2023-09-26 Badal Joshi , Gheorghe Craciun

Robustness of biochemical systems has become one of the central questions in systems biology although it is notoriously difficult to formally capture its multifaceted nature. Maintenance of normal system function depends not only on the…

Molecular Networks · Quantitative Biology 2012-03-28 Jost Neigenfind , Sergio Grimbs , Zoran Nikoloski

Multistationarity, underlies biochemical switching and cellular decision-making. We study how multistationarity in the sequential n-site phosphorylation-dephosphorylation cycle is affected when only some species are open, meaning allowed to…

Dynamical Systems · Mathematics 2025-11-14 Praneet Nandan , Beatriz Pascual-Escudero , Diego Rojas La Luz

Mathematical and computational modelling of biochemical networks is often done in terms of either the concentrations of molecular species or the fluxes of biochemical reactions. When is mathematical modelling from either perspective…

Molecular Networks · Quantitative Biology 2015-12-10 Ronan M. T. Fleming , Nikos Vlassis , Ines Thiele , Michael A. Saunders

Living systems contain intricate biochemical networks whose structure is closely related to their function and allows them to exhibit robust behavior in the presence of external stimuli. Such networks typically involve catalytic enzymes,…

Biological Physics · Physics 2025-10-27 Vincent Ouazan-Reboul , Ramin Golestanian , Jaime Agudo-Canalejo

Living organisms, ecosystems, and social systems are examples of complex systems in which robustness against inclusion of new elements is an essential feature. A recently proposed simple model has revealed a general mechanism by which such…

Adaptation and Self-Organizing Systems · Physics 2018-01-24 Fumiko Ogushi , János Kertész , Kimmo Kaski , Takashi Shimada

The functioning of many biochemical networks is often robust -- remarkably stable under changes in external conditions and internal reaction parameters. Much recent work on robustness and evolvability has focused on the structure of neutral…

Quantitative Methods · Quantitative Biology 2011-03-15 Bryan C. Daniels , Yan-Jiun Chen , James P. Sethna , Ryan N. Gutenkunst , Christopher R. Myers

Here we propose a generic mechanism - networked buffering - for generating robust traits in complex systems that requires two basic conditions to be satisfied: 1) agents are versatile enough to perform more than one single functional role…

Adaptation and Self-Organizing Systems · Physics 2011-12-15 James M Whitacre , Axel Bender

Evolving biomolecular networks have to combine the stability against perturbations with flexibility allowing their constituents to assume new roles in the cell. Gene duplication followed by functional divergence of associated proteins is a…

Molecular Networks · Quantitative Biology 2007-05-23 Sergei Maslov , Kim Sneppen , Kasper Astrup Eriksen

The enzyme turnover rate is a fundamental parameter in enzyme kinetics, reflecting the catalytic efficiency of enzymes. However, enzyme turnover rates remain scarce across most organisms due to the high cost and complexity of experimental…

Machine Learning · Computer Science 2025-09-16 Bozhen Hu , Cheng Tan , Siyuan Li , Jiangbin Zheng , Sizhe Qiu , Jun Xia , Stan Z. Li

There is a crescent use of enzymes in multiple industries and sciences, ranging from materials and fuel synthesis to pharmaceutical and food production. Their applicability in this variety of fields depends not only on their biochemical…

Molecular Networks · Quantitative Biology 2022-05-12 Renan dos Reis , Luciano da F. Costa

Cellulases hold great promise for the production of biofuels and biochemicals. However, they are modular enzymes acting on a complex heterogeneous substrate. Because of this complexity, the computational prediction of their catalytic…

Biological Physics · Physics 2022-07-25 Kay S. Schaller , Jeppe Kari , Kim Borch , Günther H. J. Peters , Peter Westh

We study the evolution of a random weighted network with complex nonlinear dynamics at each node, whose activity may cease as a result of interactions with other nodes. Starting from a knowledge of the micro-level behaviour at each node, we…

Statistical Mechanics · Physics 2007-05-23 Sitabhra Sinha , Sudeshna Sinha

Switch-like motifs are among the basic building blocks of biochemical networks. A common motif that can serve as an ultrasensitive switch consists of two enzymes acting antagonistically on a substrate, one making and the other removing a…

Molecular Networks · Quantitative Biology 2023-05-31 Jeremy A. Owen , Pranay Talla , John W. Biddle , Jeremy Gunawardena
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