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For non-motile microorganisms, spatial expansion in quiescent fluids is presumed to be limited by diffusion. We report that microbial colonies can explosively circumvent this constraint through a self-amplifying physical process. As…

Soft Condensed Matter · Physics 2025-12-19 Jimreeves David , Shashi Thutupalli

A fundamental issue discussed in evolutionary biology is the transition from unicellular to multicellular organisms. Here we develop non-robust models provided in [1] and attempt to get robust models investigated how differentiation of…

Populations and Evolution · Quantitative Biology 2015-12-15 Denis Tverskoy

We model the growth of a cell population using a piecewise deterministic Markov branching tree. In this model, each cell splits into two offspring at a division rate $B(x)$, which depends on its size $x$. The size of each cell increases…

Probability · Mathematics 2024-09-06 Nathalie Krell

The dynamics of molecular collisions in a macroscopic body are encoded by the parameter Thermodynamic entropy - a statistical measure of the number of molecular configurations that correspond to a given macrostate. Directionality in the…

Populations and Evolution · Quantitative Biology 2020-05-22 Lloyd Demetrius , Christian Wolf

In the growth of bacterial colonies, a great variety of complex patterns are observed in experiments, depending on external conditions and the bacterial species. Typically, existing models employ systems of reaction-diffusion equations or…

Biological Physics · Physics 2019-11-12 Lautaro Vassallo , David Hansmann , Lidia A. Braunstein

Nutrient limitation is one of the most common triggers of antibiotic tolerance and persistence. Here, we present two microfluidic setups to study how spatial and temporal variation in nutrient availability lead to increased survival of…

Quantitative Methods · Quantitative Biology 2020-10-29 Stefany Moreno-Gámez , Alma Dal Co , Simon van Vliet , Martin Ackermann

We incorporate the generic hierarchical architecture of foodwebs into a "{\it unified}" model that describes both "micro" and "macro" evolutions within a single theoretical framework. This model describes the "micro" -evolution in detail by…

Statistical Mechanics · Physics 2009-11-10 Debashish Chowdhury , Dietrich Stauffer

We introduce a general theoretical framework to study the shape dynamics of actively growing and remodeling surfaces. Using this framework we develop a physical model for growing bacterial cell walls and study the interplay of cell shape…

Biological Physics · Physics 2016-04-08 Shiladitya Banerjee , Norbert F. Scherer , Aaron R. Dinner

Understanding the emergence and evolution of multicellularity and cellular differentiation is a core problem in biology. We develop a quantitative model that shows that a multicellular form emerges from genetically identical unicellular…

Populations and Evolution · Quantitative Biology 2017-02-07 Iaroslav Ispolatov , Martin Ackermann , Michael Doebeli

A model of mutation rate evolution for multiple loci under arbitrary selection is analyzed. Results are obtained using techniques from Karlin (1982) that overcome the weak selection constraints needed for tractability in prior studies of…

Populations and Evolution · Quantitative Biology 2013-02-04 Lee Altenberg

Cellular metabolism, the integrated interconversion of thousands of metabolic substrates through enzyme-catalyzed biochemical reactions, is the most investigated complex intercellular web of molecular interactions. While the topological…

Molecular Networks · Quantitative Biology 2015-06-26 E. Almaas , B. Kovacs , T. Vicsek , Z. N. Oltvai , A. -L. Barabasi

Measurements of cell size dynamics have established the adder principle as a robust mechanism of cell size homeostasis. In this framework, cells add a nearly constant amount of size during each cell cycle, independent of their size at…

Quantitative Methods · Quantitative Biology 2026-01-01 Sayeh Rezaee , Cesar Nieto , Abhyudai Singh

Biological systems operate under simultaneous energetic and informational constraints, yet direct evidence that such constraints shape real metabolic networks is limited. The Network-Weighted Action Principle predicts that networks under…

Molecular Networks · Quantitative Biology 2026-05-08 Martin G. Frasch

This paper theoretically analyzes a phenomenological stochastic model for bacterial growth. This model comprises cell division and the linear growth of cells, where growth rates and cell cycles are drawn from lognormal distributions. We…

Biological Physics · Physics 2016-06-28 Ken Yamamoto , Jun-ichi Wakita

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

Standard game theory cannot describe microbial interactions mediated by diffusible molecules. Nevertheless, we show that one can still model microbial dynamics using game theory with parameters renormalized by diffusion. Contrary to…

Populations and Evolution · Quantitative Biology 2015-05-26 Rajita Menon , Kirill S. Korolev

Cells adapt to different conditions by altering a vast number of components, which is measurable using transcriptome analysis. Given that a cell undergoing steady growth is constrained to sustain each of its internal components, the…

Cell Behavior · Quantitative Biology 2014-07-15 Kunihiko Kaneko , Chikara Furusawa , Tetsuya Yomo

In a recent paper by Ambr\'osio et al. [arXiv:2405.14799], it was shown that the gravitational force law of the Modified Newtonian Dynamics (MOND) phenomenology can be derived within the framework of entropic gravity and the holographic…

General Relativity and Quantum Cosmology · Physics 2024-06-05 Julius Lehmann

Uncovering the quantitative laws that govern the growth and division of single cells remains a major challenge. Using a unique combination of technologies that yields unprecedented statistical precision, we find that the sizes of individual…

Exact law of mortality dynamics in changing populations and environment is derived. The law is universal for all species, from single cell yeast to humans. It includes no characteristics of animal- environment interactions (metabolism etc)…

Populations and Evolution · Quantitative Biology 2009-11-10 Mark Ya. Azbel'
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