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Production of energy (metabolism) and its distribution is vital for living organisms, both at individual level - between different functions of an organism, as well as between species of communities at different organizational levels,…

Other Quantitative Biology · Quantitative Biology 2024-12-02 Yuri K Shestopaloff

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

Quite generally, constraint-based metabolic flux analysis describes the space of viable flux configurations for a metabolic network as a high-dimensional polytope defined by the linear constraints that enforce the balancing of production…

Molecular Networks · Quantitative Biology 2013-09-24 Francesco Alessandro Massucci , Francesc Font-Clos , Andrea De Martino , Isaac Pérez Castillo

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

This review describes recent advances by the authors and others on the topic of incorporating experimental data into molecular simulations through maximum entropy methods. Methods which incorporate experimental data improve accuracy in…

Chemical Physics · Physics 2019-05-15 Dilnoza B. Amirkulova , Andrew D. White

Cell cultures exhibit rich and complex behaviors driven by dynamic metabolic interactions among cells. In this work, we present a model that captures these interactions through a framework inspired by statistical mechanics. Using Monte…

Biological Physics · Physics 2025-09-25 A. R. Batista-Tomás , C. Díaz-Faloh , R. Mulet

We revisit the modeling of the diauxic growth of a pure microorganism on two distinct sugars which was first described by Monod. Most available models are deterministic and make the assumption that all cells of the microbial ecosystem…

Populations and Evolution · Quantitative Biology 2020-05-19 Carl Graham , Jérôme Harmand , Sylvie Méléard , Josué Tchouanti

Dynamic processes on networks are fundamental to understanding modern-day phenomena such as information diffusion and opinion polarization on the internet or epidemics spreading through society. However, such processes are notoriously…

Physics and Society · Physics 2025-07-15 Noam Abadi , Franco Ruzzenenti

Intercellular exchange networks are essential for the adaptive capabilities of populations of cells. While diffusional exchanges have traditionally been difficult to map, recent advances in nanotechnology enable precise probing of exchange…

Statistical Mechanics · Physics 2024-12-13 Luís C. F. Latoski , Andrea De Martino , Daniele De Martino

We consider dynamical systems evolving near an equilibrium statistical state where the interest is in modelling long term behavior that is consistent with thermodynamic constraints. We adjust the distribution using an entropy-optimizing…

Fluid Dynamics · Physics 2014-11-25 Keith Myerscough , Jason Frank , Benedict Leimkuhler

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

Maximum entropy principle (MEP) offers an effective and unbiased approach to inferring unknown probability distributions when faced with incomplete information, while neural networks provide the flexibility to learn complex distributions…

Machine Learning · Statistics 2024-12-04 Wuyue Yang , Liangrong Peng , Guojie Li , Liu Hong

Cellular metabolism, the integrated interconversion of thousands of metabolic substrates through enzyme-catalyzed biochemical reactions, is the most investigated complex intercellular web of molecular interactions. While the topological…

Molecular Networks · Quantitative Biology 2015-06-26 E. Almaas , B. Kovacs , T. Vicsek , Z. N. Oltvai , A. -L. Barabasi

Cells adapt their metabolic fluxes in response to changes in the environment. We present a framework for the systematic construction of flux-based graphs derived from organism-wide metabolic networks. Our graphs encode the directionality of…

Molecular Networks · Quantitative Biology 2018-03-29 Mariano Beguerisse-Díaz , Gabriel Bosque , Diego Oyarzún , Jesús Picó , Mauricio Barahona

Living systems maintain or increase local order by working against the Second Law of Thermodynamics. Thermodynamic consistency is restored as they dissipate heat, thereby increasing the net entropy of their environment. Recently introduced…

Biological Physics · Physics 2021-05-03 Dominic J. Skinner , Jörn Dunkel

Stochastic and soft optimal policies resulting from entropy-regularized Markov decision processes (ER-MDP) are desirable for exploration and imitation learning applications. Motivated by the fact that such policies are sensitive with…

Machine Learning · Computer Science 2022-01-03 Tien Mai , Patrick Jaillet

The interplay between energy efficiency and evolutionary mechanisms is addressed. One important question is how evolutionary mechanisms can select for the optimised usage of energy in situations where it does not lead to immediate…

Populations and Evolution · Quantitative Biology 2016-11-21 André Amado , Lenin Fernández , Weini Huang , Fernando F. Ferreira , Paulo R. A. Campos

Existing strategies for determining the optimal treatment or monitoring strategy typically assume unlimited access to resources. However, when a health system has resource constraints, such as limited funds, access to medication, or…

Applications · Statistics 2019-03-18 Ellen C Caniglia , Eleanor J Murray , Miguel A Hernan , Zach Shahn

As metabolomics datasets are becoming larger and more complex, there is an increasing need for model-based data integration and analysis to optimally leverage these data. Dynamical models of metabolism allow for the integration of…

Quantitative Methods · Quantitative Biology 2023-11-29 Polina Lakrisenko , Daniel Weindl

In this paper, we present a novel maximum entropy formulation of the Differential Dynamic Programming algorithm and derive two variants using unimodal and multimodal value functions parameterizations. By combining the maximum entropy…

Optimization and Control · Mathematics 2022-03-01 Oswin So , Ziyi Wang , Evangelos A. Theodorou