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The capability of cells to form surface extensions to non-locally probe the surrounding environment plays a key role in cell migration. The existing mathematical models for migration of cell populations driven by this non-local form of…

Cell Behavior · Quantitative Biology 2025-12-24 Tommaso Lorenzi , Nadia Loy , Chiara Villa

Deciphering the control principles of metabolism and its interaction with other cellular functions is central to biomedicine and biotechnology. Yet, understanding the efficient control of metabolic fluxes remains elusive for large-scale…

Molecular Networks · Quantitative Biology 2015-09-04 Georg Basler , Zoran Nikoloski , Abdelhalim Larhlimi , Albert-László Barabási , Yang-Yu Liu

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

Life is a nonequilibrium phenomenon: metabolism provides a continuous supply of energy that drives nearly all cellular processes. However, very little is known about how much energy different cellular processes use, i.e. their energetic…

Biological Physics · Physics 2023-03-29 Easun Arunachalam , William Ireland , Xingbo Yang , Dan Needleman

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

Metabolic reactions of single-cell organisms are routinely observed to become dispensable or even incapable of carrying activity under certain circumstances. Yet, the mechanisms as well as the range of conditions and phenotypes associated…

Molecular Networks · Quantitative Biology 2009-01-21 Takashi Nishikawa , Natali Gulbahce , Adilson E. Motter

In a previous paper we have introduced a phenomenological model of cell metabolism and of the cell cycle to simulate the behavior of large tumor cell populations (Chignola R and Milotti E, Phys. Biol. 2 (2005) 8-22). Here we describe a…

Biological Physics · Physics 2009-11-13 Roberto Chignola , Alessio Del Fabbro , Chiara Dalla Pellegrina , Edoardo Milotti

During overflow metabolism, cells excrete glycolytic byproducts when growing under aerobic conditions in a seemingly wasteful fashion. While potentially advantageous for microbes with finite oxidative capacity, its role in higher organisms…

Living systems continuously transform matter and energy through the chemical processes that constitute their metabolism. The overall metabolic rate of an organism correlates positively with its body mass, however both the exact scaling…

Soft Condensed Matter · Physics 2026-03-19 Efe Ilker , Michael Hinczewski , Xingbo Yang , Frank Jülicher

Quantitative studies of cell metabolism are often based on large chemical reaction network models. A steady state approach is suited to analyze phenomena on the timescale of cell growth and circumvents the problem of incomplete experimental…

Molecular Networks · Quantitative Biology 2019-02-20 A. De Martino , D. De Martino , E. Marinari

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

Nutrient gradients and limitations play a pivotal role in the life of all microbes, both in their natural habitat as well as in artificial, microfluidic systems. Spatial concentration gradients of nutrients in densely packed cell…

Understanding the dependence and interplay between architecture and function in biological networks has great relevance to disease progression, biological fabrication and biological systems in general. We propose methods to assess the…

Quantitative Methods · Quantitative Biology 2009-10-17 Soumen Roy , Vladimir Filkov

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

The dynamics of cellular pattern formation is crucial for understanding embryonic development and tissue morphogenesis. Recent studies have shown that human dermal fibroblasts cultured on liquid crystal elastomers can exhibit an increase in…

Biological Physics · Physics 2023-08-25 Mengyang Gu , Xinyi Fang , Yimin Luo

Elementary flux modes (EFMs) are pathways through a metabolic reaction network that connect external substrates to products. Using EFMs, a metabolic network can be transformed into its macroscopic counterpart, in which the internal…

Optimization and Control · Mathematics 2014-10-13 Hildur Æsa Oddsdóttir , Erika Hagrot , Véronique Chotteau , Anders Forsgren

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

Organisms adapt to fluctuating environments by regulating their dynamics, and by adjusting their phenotypes to environmental changes. We model population growth using multitype branching processes in random environments, where the offspring…

Probability · Mathematics 2009-12-08 Clément Dombry , Christian Mazza , Vincent Bansaye

High-throughput techniques are leading to an explosive growth in the size of biological databases and creating the opportunity to revolutionize our understanding of life and disease. Interpretation of these data remains, however, a major…

Molecular Networks · Quantitative Biology 2009-11-11 Roger Guimera , Luis A. Nunes Amaral

Cancer cells are often seen to prefer glycolytic metabolism over oxidative phosphorylation even in the presence of oxygen-a phenomenon termed the Warburg effect. Despite significant strides in the decades since its discovery, a clear basis…

Subcellular Processes · Quantitative Biology 2026-02-02 B. Vibishan , Mohit Kumar Jolly , Akshit Goyal