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Metabolic networks, formed by a series of metabolic pathways, are made of intracellular and extracellular reactions that determine the biochemical properties of a cell, and by a set of interactions that guide and regulate the activity of…

Logic in Computer Science · Computer Science 2020-08-24 Jean-Marc Alliot , Marta Cialdea Mayer , Robert Demolombe , Martín Diéguez , Luis Fariñas del Cerro

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

System and synthetic biology are rapidly evolving systems, but both lack tools such as those used in engineering environments to shift the their focus from the design of parts (details) to the design of systems (behaviors); to aggravate,…

Emerging Technologies · Computer Science 2015-07-29 Ricardo Henrique Gracini Guiraldelli , Vincenzo Manca

One of the most fundamental rules in metabolic ecology is the allometric equation, which is a power-law scaling that describes the connection between body measurements and body size. The biological dynamics of this essentially empirical…

Other Quantitative Biology · Quantitative Biology 2024-05-14 Jia-Xu Han , Zhuangdong Bai , Rui-Wu Wang

Optimization-based models have been used to predict cellular behavior for over 25 years. The constraints in these models are derived from genome annotations, measured macro-molecular composition of cells, and by measuring the cell's growth…

Quantitative Methods · Quantitative Biology 2019-05-21 Laurence Yang , Michael A. Saunders , Jean-Christophe Lachance , Bernhard O. Palsson , José Bento

Life has a special status, it even has its own science: biology. In many ways, the logic of life seems to differ from that of atoms, molecules, planets, or any other `inanimate object'. However, life is increasingly measured using…

Other Quantitative Biology · Quantitative Biology 2021-12-16 Marc-Antoine Fardin

Natural selection has shaped the evolution of cells and multi-cellular organisms such that social cooperation can often be preferred over an individualistic approach to metabolic regulation. This paper extends a framework for dynamic…

Molecular Networks · Quantitative Biology 2021-01-28 David S. Tourigny

The metabolism is the motor behind the biological complexity of an organism. One problem of characterizing its large-scale structure is that it is hard to know what to compare it to. All chemical reaction systems are shaped by the same…

Molecular Networks · Quantitative Biology 2011-05-10 Petter Holme , Mikael Huss , Sang Hoon Lee

A classical problem describing the collective motion of cells, is the movement driven by consumption/depletion of a nutrient. Here we analyze one of the simplest such model written as a coupled Partial Differential Equation/Ordinary…

Analysis of PDEs · Mathematics 2022-09-02 Pierre-Emmanuel Jabin , Benoît Perthame

The methodology named LIFE (Linear-in-Flux-Expressions) was developed with the purpose of simulating and analyzing large metabolic systems. With LIFE, the number of model parameters is reduced by accounting for correlations among the…

Optimization and Control · Mathematics 2019-03-29 Nathaniel J. Merrill , Zheming An , Sean T. McQuade , Federica Garin , Karim Azer , Ruth E. Abrams , Benedetto Piccoli

Understanding design principles of complex cellular organization is one of the major challenges in biology. Recent analysis of the large-scale cellular organization has revealed the scale-free nature and robustness of metabolic and protein…

Molecular Networks · Quantitative Biology 2007-05-23 Hiroki R. Ueda , John B. Hogenesch

Metabolomics is becoming a mature part of analytical chemistry as evidenced by the growing number of publications and attendees of international conferences dedicated to this topic. Yet, a systematic treatment of the fundamental structure…

Quantitative Methods · Quantitative Biology 2019-06-19 Age K. Smilde , Thomas Hankemeier

Monod's law is a widely accepted phenomenology for bacterial growth. Since it has the same functional form as the Michaelis--Menten equation for enzyme kinetics, cell growth is often considered to be locally constrained by a single…

Cell Behavior · Quantitative Biology 2025-10-14 Jumpei F. Yamagishi , Tetsuhiro S. Hatakeyama

Metabolic scaling is one of the most important patterns in biology. Theory explaining the 3/4-power size-scaling of biological metabolic rate does not predict the non-linear scaling observed for smaller life forms. Here we present a new…

Biological Physics · Physics 2024-03-04 Mark E. Ritchie , Christopher P. Kempes

Many of the chemical reactions that take place within a living cell are irreversible. Due to evolutionary pressures, the number of allowable reactions within these systems are highly constrained and thus the resulting metabolic networks…

Molecular Networks · Quantitative Biology 2013-03-04 Jonathan J Crofts , Ernesto Estrada

We propose to model the dynamics of metabolic networks from a systems biology point of view by four dynamical structure elements: potential function, transverse matrix, degradation matrix, and stochastic force. These four elements are…

Molecular Networks · Quantitative Biology 2007-05-23 P. Ao

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

Making sense of complex inhomogeneous systems composed of many interacting species is a grand challenge that pervades basically all natural sciences. Phase separation and pattern formation in reaction-diffusion systems have been largely…

Soft Condensed Matter · Physics 2025-06-04 Joshua F. Robinson , Thomas Machon , Thomas Speck

Liquid chromatography mass spectrometry (LC-MS)-based metabolomics and exposomics aim to measure detectable small molecules in biological samples. The results facilitate hypothesis-generating discovery of metabolic changes and disease…

Quantitative Methods · Quantitative Biology 2026-01-06 Xujun Che , Xiuxia Du , Depeng Xu

Metabolic networks consist of linked functional components, or modules. The mechanism underlying metabolic network modularity is of great interest not only to researchers of basic science but also to those in fields of engineering. Previous…

Molecular Networks · Quantitative Biology 2012-09-14 Kazuhiro Takemoto