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The solution space of genome-scale models of cellular metabolism provides a map between physically viable flux configurations and cellular metabolic phenotypes described, at the most basic level, by the corresponding growth rates. By…

Molecular Networks · Quantitative Biology 2016-05-30 Daniele De Martino , Fabrizio Capuani , Andrea De Martino

In a cell or microorganism the processes that generate mass, energy, information transfer, and cell fate specification are seamlessly integrated through a complex network of various cellular constituents and reactions. However, despite the…

Statistical Mechanics · Physics 2009-10-31 H. Jeong , B. Tombor , R. Albert , Z. N. Oltvai , A. -L. Barabasi

Metabolic oscillations in single cells underlie the mechanisms behind cell synchronization and cell-cell communication. For example, glycolytic oscillations mediated by biochemical communication between cells may synchronize the pulsatile…

A hallmark of a plethora of intracellular signaling pathways is the spatial separation of activation and deactivation processes that potentially results in precipitous gradients of activated proteins. The classical Metabolic Control…

Analysis of PDEs · Mathematics 2007-05-23 Mark A. Peletier , Hans V. Westerhoff , Boris N. Kholodenko

Despite major environmental and genetic differences, microbial metabolic networks are known to generate consistent physiological outcomes across vastly different organisms. This remarkable robustness suggests that, at least in bacteria,…

Molecular Networks · Quantitative Biology 2022-05-24 Anna Paola Muntoni , Alfredo Braunstein , Andrea Pagnani , Daniele De Martino , Andrea De Martino

We explain how hierarchical organization of biological systems emerges naturally during evolution, through a transition in the units of individuality. We will show how these transitions are the result of competing selective forces operating…

Populations and Evolution · Quantitative Biology 2015-06-16 Cameron Smith , Matthieu Laneuville , Nicholas Guttenberg

Mathematical and computational models can assist in gaining an understanding of cell behavior at many levels of organization. Here, we review models in the literature that focus on eukaryotic cell motility at 3 size scales: intracellular…

Cell Behavior · Quantitative Biology 2021-01-27 Andreas Buttenschön , Leah Edelstein-Keshet

We investigate the percolation properties of a two-state (occupied - empty) cellular automaton, where at each time step a cluster of occupied sites is removed and the same number of randomly chosen empty sites are occupied again. We find a…

Statistical Mechanics · Physics 2009-10-30 Siegfried Clar , Barbara Drossel , Klaus Schenk , Franz Schwabl

A novel theory for cell differentiation is proposed, based on simulations with interacting artificial cells which have metabolic networks within, and divide into two when the final product is accumulated. Results of simulations with coupled…

adap-org · Physics 2015-06-30 Kunihiko Kaneko , Tetsuya Yomo

Biomolecular condensates are essential for cellular organization and result from phase separation in systems far from thermodynamic equilibrium. Among various models, chemically active droplets play a significant role, consisting of…

Soft Condensed Matter · Physics 2025-05-19 Jacques Fries , Roxanne Berthin , Chengjie Luo , Marie Jardat , David Zwicker , Vincent Dahirel , Pierre Illien

One of the major characteristics of living organisms is metabolic rate, which is the amount of energy produced per unit of time. When the mass of organisms increases, the metabolic rate also increases (usually as a power function of mass),…

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

The more we learn about the cytoplasm of cells, the more we realise that the cytoplasm is not uniform but instead is highly inhomogeneous. In any inhomogeneous solution, there are concentration gradients, and particles move either up or…

Subcellular Processes · Quantitative Biology 2019-04-03 Richard P. Sear

T1 transitions, which are localised cell rearrangements, play an important role in the fluidization of epithelial monolayers. Using a multi-phase field model and an active elastic solid model, we show that although each cell undergoes T1…

Biological Physics · Physics 2025-02-11 Harish P. Jain , Richard D. J. G. Ho , Luiza Angheluta

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

The metabolic activity of microbes has played an essential role in the evolution and persistence of life on Earth. Microbial metabolism plays a primary role in the flow of carbon, nitrogen and other elements through the biosphere on a…

Populations and Evolution · Quantitative Biology 2022-01-20 Chandana Gopalakrishnappa , Karna Gowda , Kaumudi Prabhakara , Seppe Kuehn

Metabolism displays striking and robust regularities in the forms of modularity and hierarchy, whose composition may be compactly described. This renders metabolic architecture comprehensible as a system, and suggests the order in which…

Molecular Networks · Quantitative Biology 2015-06-05 Rogier Braakman , Eric Smith

Within a mathematical model, the process of interaction of the metabolic processes such as glycolysis and gluconeogenesis is studied. As a result of the running of two opposite processes in a cell, the conditions for their interaction and…

Other Quantitative Biology · Quantitative Biology 2017-07-19 V. I. Grytsay

This paper concerns a model for tumor cell migration through the surrounding extracellular matrix by considering mass balance phenomena involving the chemical interactions produced on the cell surface. The well-posedness of this model is…

Analysis of PDEs · Mathematics 2015-09-03 J. Nieto , L. Urrutia

Biomolecular condensates constitute a newly recognized form of spatial organization in living cells. Although many condensates are believed to form as a result of phase separation, the physicochemical properties that determine the phase…

Biological Physics · Physics 2023-07-11 William M. Jacobs

Gradual changes in exploitation, nutrient loading, etc. produce shifts between alternative stable states (ASS) in ecosystems which, quite often, are not smooth but abrupt or catastrophic. Early warnings of such catastrophic regime shifts…

Populations and Evolution · Quantitative Biology 2009-10-07 Ariel Fernandez , Hugo Fort