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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

Assuming a steady-state condition within a cell, metabolic fluxes satisfy an under-determined linear system of stoichiometric equations. Characterizing the space of fluxes that satisfy such equations along with given bounds (and possibly…

Biological Physics · Physics 2017-04-10 Alfredo Braunstein , Anna Paola Muntoni , Andrea Pagnani

We consider the problem of inferring the probability distribution of flux configurations in metabolic network models from empirical flux data. For the simple case in which experimental averages are to be retrieved, data are described by a…

Molecular Networks · Quantitative Biology 2017-04-27 Daniele De Martino , Andrea De Martino

Due to its implication in cancer treatment, the Warburg Effect has received extensive in silico investigation. Flux Balance Analysis (FBA), based on constrained optimization, was successfully applied in the Warburg Effect modelling. Yet,…

Quantitative Methods · Quantitative Biology 2021-11-25 Yi Zhang , Daniel Boley

Constraint-based modeling has been widely used on metabolic networks analysis, such as biosynthetic prediction and flux optimization. The linear constraints, like mass conservation constraint, reversibility constraint, biological capacity…

Other Quantitative Biology · Quantitative Biology 2009-11-29 Lu Xie , Yi Zhang

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

Biological systems are governed by coupled interactions between intracellular metabolism and bioreactor operation that span multiple time scales. Constraint-based metabolic models are widely used to describe intracellular metabolism, but…

Quantitative Methods · Quantitative Biology 2026-03-30 Peter E. Carstensen , Teddy Groves , Lars K. Nielsen , Ulrich Krühne , Krist V. Gernaey , John B. Jørgensen

Clustering is essential in data analysis and machine learning, but traditional algorithms like $k$-means and Gaussian Mixture Models (GMM) often fail with nonconvex clusters. To address the challenge, we introduce the Flexible Bivariate…

Machine Learning · Computer Science 2025-02-28 Yung-Peng Hsu , Hung-Hsuan Chen

Microorganisms have developed complex regulatory features controlling their reaction and internal adaptation to changing environments. When modeling these organisms we usually do not have full understanding of the regulation and rely on…

Optimization and Control · Mathematics 2018-04-05 Henning Lindhorst , Alexandra-M. Reimers , Steffen Waldherr

Metabolic heterogeneity is widely recognised as the next challenge in our understanding of non-genetic variation. A growing body of evidence suggests that metabolic heterogeneity may result from the inherent stochasticity of intracellular…

Molecular Networks · Quantitative Biology 2020-10-08 Mona K Tonn , Philipp Thomas , Mauricio Barahona , Diego A Oyarzún

Federated learning (FL) has emerged as a key technique for distributed machine learning (ML). Most literature on FL has focused on ML model training for (i) a single task/model, with (ii) a synchronous scheme for updating model parameters,…

Machine Learning · Computer Science 2024-02-19 Zhan-Lun Chang , Seyyedali Hosseinalipour , Mung Chiang , Christopher G. Brinton

Experimental and empirical observations on cell metabolism cannot be understood as a whole without their integration into a consistent systematic framework. However, the characterization of metabolic flux phenotypes is typically reduced to…

Molecular Networks · Quantitative Biology 2015-09-03 Oriol Güell , Francesco Alessandro Massucci , Francesc Font-Clos , Francesc Sagués , M. Ángeles Serrano

A major theme in constraint-based modeling is unifying experimental data, such as biochemical information about the reactions that can occur in a system or the composition and localization of enzyme complexes, with highthroughput data…

The distribution network restoration problem is by nature a mixed integer and non-linear optimization problem due to the switching decisions and Optimal Power Flow (OPF) constraints, respectively. The link between these two parts involves…

Optimization and Control · Mathematics 2020-02-25 Hossein Sekhavatmanesh , Rachid Cherkaoui

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

The mixture of factor analyzers (MFA) model is a famous mixture model-based approach for unsupervised learning with high-dimensional data. It can be useful, inter alia, in situations where the data dimensionality far exceeds the number of…

Computation · Statistics 2018-11-13 Yuhong Wei , Yang Tang , Paul D. McNicholas

The metabolic fluxes in cells follow physical, biochemical, and economic principles. Some flux balance analysis (FBA) methods trade flux benefit against flux cost. However, if flux cost functions are linear and meant to describe underlying…

Molecular Networks · Quantitative Biology 2022-10-05 Wolfram Liebermeister

Elementary flux modes (EFMs) are vectors defined from a metabolic reaction network, giving the connections between substrates and products. EFMs-based metabolic flux analysis (MFA) estimates the flux over each EFM from external flux…

Optimization and Control · Mathematics 2015-04-21 Hildur Æsa Oddsdóttir , Erika Hagrot , Veronique Chotteau , Anders Forsgren

Federated Learning (FL) is a distributed learning paradigm that can coordinate heterogeneous edge devices to perform model training without sharing private data. While prior works have focused on analyzing FL convergence with respect to…

Machine Learning · Computer Science 2025-09-09 Weijie Liu , Xiaoxi Zhang , Jingpu Duan , Carlee Joe-Wong , Zhi Zhou , Xu Chen

Constraint-Based Reconstruction and Analysis (COBRA) is currently the only methodology that permits integrated modeling of Metabolism and macromolecular Expression (ME) at genome-scale. Linear optimization computes steady-state flux…

Molecular Networks · Quantitative Biology 2016-09-28 Ding Ma , Laurence Yang , Ronan M. T. Fleming , Ines Thiele , Bernhard O. Palsson , Michael A. Saunders