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Constraint based methods, such as the Flux Balance Analysis, are widely used to model cellular growth processes without relying on extensive information on the regulatory features. The regulation is instead substituted by an optimization…

Optimization and Control · Mathematics 2017-06-14 Henning Lindhorst , Sergio Lucia , Rolf Findeisen , Steffen Waldherr

Constraint-based metabolic modeling is the predominant framework for simulating cellular metabolism. The central assumption of these models is that metabolism operates at a steady state, meaning that the production and consumption rates of…

Quantitative Methods · Quantitative Biology 2026-05-22 Ariel Bruner , Mona Singh

New experimental results on bacterial growth inspire a novel top-down approach to study cell metabolism, combining mass balance and proteomic constraints to extend and complement Flux Balance Analysis. We introduce here Constrained…

Molecular Networks · Quantitative Biology 2016-07-04 Matteo Mori , Terence Hwa , Olivier C. Martin , Andrea De Martino , Enzo Marinari

For over two decades, Flux Balance Analysis (FBA) has been successfully used for predicting growth rates and intracellular reaction rates in microbiological metabolism. An aspect that is often omitted from this analysis, is segregation or…

Systems and Control · Electrical Eng. & Systems 2023-06-02 Michiel Busschaert , Florence H. Vermeire , Steffen Waldherr

Resource Balance Analysis (RBA) is a framework for predicting steady-state cellular growth under resource constraints. However, classical RBA formulations are static and do not capture the dynamic regulation of biosynthetic resources or…

Optimization and Control · Mathematics 2026-01-21 Saeed Sadeghi Arjmand

Understanding the system level adaptive changes taking place in an organism in response to variations in the environment is a key issue of contemporary biology. Current modeling approaches such as the constraint-based flux balance analyses…

Molecular Networks · Quantitative Biology 2007-05-23 E. Almaas , Z. N. Oltvai , A. -L. Barabasi

The regulation of metabolic activity by tuning enzyme expression levels is crucial to sustain cellular growth in changing environments. Metabolic networks are often studied at steady state using constraint-based models and optimization…

Molecular Networks · Quantitative Biology 2014-10-24 Steffen Waldherr , Diego A. Oyarzún , Alexander Bockmayr

Many dynamic processes such as telecommunication and transport networks can be described through discrete time series of graphs. Modelling the dynamics of such time series enables prediction of graph structure at future time steps, which…

Machine Learning · Computer Science 2026-02-10 Sevvandi Kandanaarachchi , Ziqi Xu , Stefan Westerlund , Conrad Sanderson

Dynamic Flux Balance Analysis (dFBA) extends the capabilities of FBA to track changes in metabolite concentrations and fluxes over time in response to environmental conditions and cellular processes. The key idea of the method called…

Molecular Networks · Quantitative Biology 2025-09-11 Domenico L. Gatti

Dynamic flux balance analysis uses a quasi-steady state assumption to calculate an organism's metabolic activity at each time-step of a dynamic simulation, using the well-known technique of flux balance analysis. For microbial communities,…

Quantitative Methods · Quantitative Biology 2021-01-27 James D. Brunner , Nicholas Chia

An extensive rewiring of cell metabolism supports enhanced proliferation in cancer cells. We propose a systems level approach to describe this phenomenon based on Flux Balance Analysis (FBA). The approach does not explicit a cell biomass…

Computational Engineering, Finance, and Science · Computer Science 2013-10-01 Chiara Damiani , Riccardo Colombo , Sara Molinari , Dario Pescini , Daniela Gaglio , Marco Vanoni , Lilia Alberghina , Giancarlo Mauri

One of the long-expected goals of genome-scale metabolic modeling is to evaluate the influence of the perturbed enzymes to the flux distribution. Both ordinary differential equation (ODE) models and the constraint-based models, like Flux…

Molecular Networks · Quantitative Biology 2016-10-05 Zhengwei Xie , Tianyu Zhang , Qi Ouyang

Metabolic fluxes in cells are governed by physical, physiological, and economic principles. Here I assume an optimal allocation of enzyme resources and postulate a general principle for metabolism: each enzyme must convert less valuable…

Molecular Networks · Quantitative Biology 2022-10-06 Wolfram Liebermeister

13C-Metabolic Flux Analysis (13C-MFA) and Flux Balance Analysis (FBA) are widely used to investigate the operation of biochemical networks in both biological and biotechnological research. Both of these methods use metabolic reaction…

Molecular Networks · Quantitative Biology 2023-03-23 Joshua A. M. Kaste , Yair Shachar-Hill

Which properties of metabolic networks can be derived solely from stoichiometric information about the network's constituent reactions? Predictive results have been obtained by Flux Balance Analysis (FBA), by postulating that cells set…

Molecular Networks · Quantitative Biology 2018-09-05 Daniele De Martino , Anna MC Andersson , Tobias Bergmiller , Călin C Guet , Gašper Tkačik

Constraint-based flux balance analysis (FBA) has proven successful in predicting the flux distribution of metabolic networks in diverse environmental conditions. FBA finds one of the alternate optimal solutions that maximizes the biomass…

Molecular Networks · Quantitative Biology 2009-05-19 Areejit Samal

Constraint-based stoichiometric models are ubiquitous in metabolic research, with Flux Balance Analysis (FBA) being the most widely used method to describe metabolic phenotypes of cells growing in steady-state. Of the many variants of…

Molecular Networks · Quantitative Biology 2018-03-15 Elad Noor

Constraint-based metabolic models can be used to investigate the intracellular physiology of microorganisms. These models couple genes to reactions, and typically seek to predict metabolite fluxes that optimize some biologically important…

Optimization and Control · Mathematics 2025-05-13 Hannah Troppens , Mathieu Besançon , St. Elmo Wilken , Sebastian Pokutta

Flux balance analysis has proven an effective tool for analyzing metabolic networks. In flux balance analysis, reaction rates and optimal pathways are ascertained by solving a linear program, in which the growth rate is maximized subject to…

Optimization and Control · Mathematics 2018-04-10 Amir Akbari , Paul I. Barton

Metabolic flux balance analyses are a standard tool in analysing metabolic reaction rates compatible with measurements, steady-state and the metabolic reaction network stoichiometry. Flux analysis methods commonly place unrealistic…

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