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Most organisms grow according to simple laws, which in principle can be derived from energy conservation and scaling arguments, critically dependent on the relation between the metabolic rate B of energy flow and the organism mass m.…

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

We study the statistical underpinnings of life. We question some common assumptions about the thermodynamics of life and illustrate how, contrary to widespread belief, even in a closed system entropy growth can accompany an increase in…

Biological Physics · Physics 2019-08-23 Kate Jeffery , Robert Pollack , Carlo Rovelli

We propose an alternative to the prevailing two origin of life narratives, one based on a replicator first hypothesis, and one based on a metabolism first hypothesis. Both hypotheses have known difficulties: All known evolvable molecular…

Populations and Evolution · Quantitative Biology 2017-06-20 Nicholas Guttenberg , Nathaniel Virgo , Chris Butch , Norman Packard

Cell extrusion is an essential mechanism for controlling cell density in epithelial tissues. Another essential element of epithelia is curvature, which is required to achieve complex shapes, like in the lung or intestine. Here we introduce…

The problem of unicellular-multicellular transition is one of the main issues that is discussing in evolutionary biology. In [1] the fitness of a colony of cells is considered in terms of its two basic components, viability and fecundity.…

Populations and Evolution · Quantitative Biology 2015-06-08 Fuad Aleskerov , Denis Tverskoy

A recent experiment on zebrafish blastoderm morphogenesis showed that the viscosity ({\eta}) of a non-confluent embryonic tissue grows sharply until a critical cell packing fraction ({\phi}S). The increase in {\eta} up to {\phi}S is similar…

Soft Condensed Matter · Physics 2023-11-28 Rajsekhar Das , Sumit Sinha , Xin Li , T. R. Kirkpatrick , D. Thirumalai

The existence of temperature gradients within eukaryotic cells has been postulated as a source of natural convection in the cytoplasm, i.e. bulk fluid motion as a result of temperature-difference-induced density gradients. Recent…

Fluid Dynamics · Physics 2024-07-22 Nikhil Desai , Weida Liao , Eric Lauga

This work gives a mathematical study of tissue dynamics. We combine within-cell genome dynamics and diffusion between cells, where the synthesis of the two gives rise to the emergence of function. We introduce a concept of monotonicity and…

Other Quantitative Biology · Quantitative Biology 2016-10-17 Indika Rajapakse , Steve Smale

Growth theory has rarely considered energy despite its invisible hand in all physical systems. We develop a theoretical framework that places energy transfers at centerstage of growth theory based on two principles: (1) goods are material…

Theoretical Economics · Economics 2018-12-13 Benjamin Leiva , Octavio Ramirez , John R. Schramski

Growth (and resorption) of biological tissue is formulated in the continuum setting. The treatment is macroscopic, rather than cellular or sub-cellular. Certain assumptions that are central to classical continuum mechanics are revisited,…

Quantitative Methods · Quantitative Biology 2015-06-26 K. Garikipati , E. M. Arruda , K. Grosh , H. Narayanan , S. Calve

We review recent work on the statistical mechanics of Von Neumann's growth model and discuss its application to cellular metabolic networks. In this context, we present a detailed analysis of the physiological scenario underlying optimality…

Disordered Systems and Neural Networks · Physics 2015-06-05 Andrea De Martino , Enzo Marinari , Andrea Romualdi

Classical models of cancer focus on tumour-intrinsic genetic aberrations and immune dynamics and often overlook how the metabolic environment of healthy tissues shapes tumour development and immune efficacy. Here, we propose that…

Tissues and Organs · Quantitative Biology 2025-11-27 Naomi Iris van den Berg , Matouš Elphick , Kevin Mulder , Omar Bouricha , Omid Sadeghi-Alavijeh , Xiao Fu , Samra Turajlic

Local perturbations of individual metabolic reactions may result in different levels of lethality, depending on their roles in metabolism and the size of subsequent cascades induced by their failure. Moreover, essentiality of individual…

Molecular Networks · Quantitative Biology 2019-03-27 P. Kim , K. Han , D. -S. Lee , B. Kahng

Metabolism plays a central role in cell physiology because it provides the molecular machinery for growth. At the genome-scale, metabolism is made up of thousands of reactions interacting with one another. Untangling this complexity is key…

Molecular Networks · Quantitative Biology 2020-12-21 Varshit Dusad , Denise Thiel , Mauricio Barahona , Hector C. Keun , Diego A. Oyarzún

Metabolism of living organisms is a foundation of life. The metabolic rate (energy production per unit time) increases slower than organisms' mass. When this phenomenon is considered across different species, it is called interspecific…

Other Quantitative Biology · Quantitative Biology 2016-11-30 Yuri K. Shestopaloff

Phase change energy storage is getting increasing attention as a representative technology to achieve carbon neutrality. The phase change process exists typical phenomenon of asymmetry that affects the energy storage performance. However,…

Fluid Dynamics · Physics 2022-03-16 Xuchen Ying , Weijia Huang , Wenhua Liu , Guiliang Liu , Mo Yang

Tumor growth, which plays a central role in cancer evolution, depends on both the internal features of the cells, such as their ability for unlimited duplication, and the external conditions, e.g., supply of nutrients, as well as the…

Biological Physics · Physics 2018-06-19 Youness Azimzade , Abbas Ali Saberi , Muhammad Sahimi

Understanding the system level adaptive changes taking place in an organism in response to variations in the environment is a key issue of contemporary biology. Current modeling approaches such as the constraint-based flux balance analyses…

Molecular Networks · Quantitative Biology 2007-05-23 E. Almaas , Z. N. Oltvai , A. -L. Barabasi

We introduce a nonlinear and nonlocal model that describes the range expansion of a population resulting from growth and competition for space. This type of phenomenon underlies the expansion of colonies of immotile cells which motivated…

Analysis of PDEs · Mathematics 2026-02-26 Henri Berestycki , Antoine Mellet