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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

Cell growth in size is a complex process coordinated by intrinsic and environmental signals. In a recent work [Tzur et al., Science, 2009, 325:167-171], size distributions in an exponentially growing population of mammalian cells were used…

Cell Behavior · Quantitative Biology 2015-06-16 Yucheng Hu , Tianqi Zhu

Cells generally convert external nutrient resources to support metabolismand growth. Understanding the thermodynamic efficiency of this conversion is essential to determine the general characteristics of cellular growth. Using a simple…

Subcellular Processes · Quantitative Biology 2015-06-19 Yusuke Himeoka , Kunihiko Kaneko

Most microorganisms regulate their cell size. We review here some of the mathematical formulations of the problem of cell size regulation. We focus on coarse-grained stochastic models and the statistics they generate. We review the…

Cell Behavior · Quantitative Biology 2018-01-03 Po-Yi Ho , Jie Lin , Ariel Amir

The prevalence of multicellular organisms is due in part to their ability to form complex structures. How cells pack in these structures is a fundamental biophysical issue, underlying their functional properties. However, much remains…

Establishing a quantitative connection between the population growth rate and the generation times of single cells is a prerequisite for understanding evolutionary dynamics of microbes. However, existing theories fail to account for the…

Populations and Evolution · Quantitative Biology 2017-09-19 Jie Lin , Ariel Amir

A rigorous understanding of how multicellular behaviors arise from the actions of single cells requires quantitative frameworks that bridge the gap between genetic circuits, the arrangement of cells in space, and population-level behaviors.…

Molecular Networks · Quantitative Biology 2016-02-18 Théo Maire , Hyun Youk

Continuous cultures of mammalian cells are complex systems displaying hallmark phenomena of nonlinear dynamics, such as multi-stability, hysteresis, as well as sharp transitions between different metabolic states. In this context…

Molecular Networks · Quantitative Biology 2019-03-01 Jorge Fernandez-de-Cossio-Diaz , Roberto Mulet

The spatiotemporal coordination and regulation of cell proliferation is fundamental in many aspects of development and tissue maintenance. Cells have the ability to adapt their division rates in response to mechanical constraints, yet we do…

Quantitative Methods · Quantitative Biology 2024-04-25 Carles Falcó , Daniel J. Cohen , José A. Carrillo , Ruth E. Baker

Various rod-shaped bacteria such as the canonical gram negative Escherichia coli or the well-studied gram positive Bacillus subtilis divide symmetrically after they approximately double their volume. Their size at division is not constant,…

Cell Behavior · Quantitative Biology 2015-06-18 Ariel Amir

Cells coexist together in colonies or as tissues. Their behaviour is controlled by an interplay between intercellular forces and biochemical regulation. We develop a simple model of the cell cycle, the fundamental regulatory network…

Biological Physics · Physics 2021-08-04 Jintao Li , Simon K. Schnyder , Matthew S. Turner , Ryoichi Yamamoto

The work is devoted to the analysis of cell population dynamics where cells make a choice between differentiation and apoptosis. This choice is based on the values of intracellular proteins whose concentrations are described by a system of…

Cell Behavior · Quantitative Biology 2016-03-30 Malay Banerjee , Vitaly Volpert

I consider how cell shape and environmental geometry affect the rate of nutrient capture and the consequent maximum growth rate of a cell, focusing on rod-like species like \textit{E.\ coli}. Simple modeling immediately implies that it is…

Biological Physics · Physics 2014-03-27 Jonathan Landy

We consider thermodynamic systems with finitely many degrees of freedom and subject to an external control action. We derive some basic results on the dependence of the relative entropy production rate on the controlling force. Applications…

Mathematical Physics · Physics 2007-05-23 M. Pavon , F. Ticozzi

The rate at which individual bacterial cells grow depends on the concentrations of cellular components such as ribosomes and proteins. These concentrations continuously fluctuate over time and are inherited from mother to daughter cells,…

Populations and Evolution · Quantitative Biology 2024-08-21 Yaïr Hein , Farshid Jafarpour

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

Originally motivated by the morphogenesis of bacterial microcolonies, the aim of this article is to explore models through different scales for a spatial population of interacting, growing and dividing particles. We start from a microscopic…

Analysis of PDEs · Mathematics 2025-01-07 Marie Doumic , Sophie Hecht , Marc Hoffmann , Diane Peurichard

We measure different contributions to entropy production in a living functional epithelial tissue. We do this by extracting the functional dynamics of development while at the same time quantifying fluctuations. Using the translucent…

Soft Condensed Matter · Physics 2023-01-25 Mark Olenik , Jake Turley , Stephen Cross , Helen Weavers , Paul Martin , Isaac Chenchiah , Tanniemola Liverpool

The complexity of gene regulatory networks in multicellular organisms makes interpretable low-dimensional models highly desirable. An attractive geometric picture, attributed to Waddington, visualizes the differentiation of a cell into…

Biological Physics · Physics 2024-12-12 Gautam Reddy

We study the effect of correlations in generation times on the dynamics of population growth of microorganisms. We show that any non-zero correlation that is due to cell-size regulation, no matter how small, induces long-term oscillations…

Populations and Evolution · Quantitative Biology 2019-03-27 Farshid Jafarpour
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