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When plated onto substrates, cell morphology and even stem cell differentiation are influenced by the stiffness of their environment. Stiffer substrates give strongly spread (eventually polarized) cells with strong focal adhesions, and…

Subcellular Processes · Quantitative Biology 2018-10-05 Samuel Bell , Anna-Lena Redmann , Eugene M. Terentjev

Power law potentials dictate interactions across scales and matter, controlling the structure and dynamics of inanimate, and living systems. Though the equilibrium distributions of particles with a power law repulsion were extensively…

Soft Condensed Matter · Physics 2025-03-04 Ido Fanto , Yuval Rosenblum , Ori Harel , Naomi Oppenheimer

The mean size of exponentially dividing E. coli cells cultured in different nutrient conditions is known to depend on the mean growth rate only. However, the joint fluctuations relating cell size, doubling time and individual growth rate…

Many mathematical models describing vegetation patterns are based on biomass--water interactions, due to the impact of this limited resource in arid and semi-arid environments. However, in recent years, a novel biological factor called…

Dynamical Systems · Mathematics 2026-04-20 Francesco Giannino , Annalisa Iuorio , Cinzia Soresina

We consider the effect of network structure on the evolution of a population. Models of this kind typically consider a population of fixed size and distribution. Here we consider eco-evolutionary dynamics where population size and…

Populations and Evolution · Quantitative Biology 2023-04-05 Karan Pattni , Wajid Ali , Mark Broom , Kieran J Sharkey

The role of activity on the hydrodynamic dispersion of bacteria in a model porous medium is studied by tracking thousands of bacteria in a microfluidic chip containing randomly placed pillars. We first evaluate the spreading dynamics of two…

The field of active matter explores the behaviors of self propelled agents out of equilibrium, with active suspensions, such as swimming bacteria in solutions, serving as impactful models. These systems exhibit spatio-temporal patterns akin…

Soft Condensed Matter · Physics 2025-08-26 Pratikshya Jena , Shradha Mishra

A spatial three level food web model with a closed nutrient cycle is presented and analyzed via Monte Carlo simulations. The time evolution of the model reveals two asymptotic states: an absorbing one with all species being extinct, and a…

Populations and Evolution · Quantitative Biology 2015-06-12 Janusz Szwabiński

We study the spreading of a bacterial colony undergoing turbulent like collective motion. We present two minimalistic models to investigate the interplay between population growth and coherent structures arising from turbulence. Using…

Fluid Dynamics · Physics 2017-04-06 Rayan Chatterjee , Abhijeet A. Joshi , Prasad Perlekar

The expansion of biological species in natural environments is usually described as the combined effect of individual spatial dispersal and growth. In the case of aquatic ecosystems flow transport can also be extremely relevant as an extra,…

Biological Physics · Physics 2016-08-30 Francesca Tesser , Jos C. H. Zeegers , Herman J. H. Clercx , Luc Brunsveld , Federico Toschi

Models of disease spreading are critical for predicting infection growth in a population and evaluating public health policies. However, standard models typically represent the dynamics of disease transmission between individuals using…

Physics and Society · Physics 2022-06-07 Christopher A. Browne , Daniel B. Amchin , Joanna Schneider , Sujit S. Datta

We propose a new scheme to infer the metabolic fluxes of cell cultures in a chemostat. Our approach is based on the Maximum Entropy Principle and exploits the understanding of the chemostat dynamics and its connection with the actual…

Statistical Mechanics · Physics 2021-09-28 Jose A. Pereiro-Morejón , Jorge Fernández-de-Cossio-Díaz , R. Mulet

Two density-dependent branching processes are considered to model predator-prey populations. For both models, preys are considered to be the main food supply of predators. Moreover, in each generation the number of individuals of each…

Probability · Mathematics 2024-07-01 Cristina Gutiérrez , Carmen Minuesa

The self-organization of microbial ecosystems involves a large variety of mechanisms, ranging from biochemical signaling to population dynamics. Among these, the role of motility regulation has been little studied, despite the importance of…

Statistical Mechanics · Physics 2025-03-18 Alberto Dinelli , Ada Altieri , Julien Tailleur

Growth patterns generated by filamentous organisms (e.g. actinomycetes and fungi) involve spatial and temporal dynamics at different length scales. Several mathematical models have been proposed in the last thirty years to address these…

Populations and Evolution · Quantitative Biology 2007-05-23 Michele Bezzi , Andrea Ciliberto

Microbial communities feature an immense diversity of species and this diversity is linked with outcomes ranging from ecosystem stability to medical prognoses. Yet the mechanisms underlying microbial diversity are under debate. While simple…

Biological Physics · Physics 2020-10-20 Amir Erez , Jaime G. Lopez , Benjamin Weiner , Yigal Meir , Ned S. Wingreen

The theory of transient growth describes how linear mechanisms can cause temporary amplification of disturbances even when the linearized system is asymptotically stable as defined by its eigenvalues. This growth is traditionally quantified…

Fluid Dynamics · Physics 2023-02-23 Peter Frame , Aaron Towne

Metagenomics has revealed hundreds of bacterial species in almost all microbiota. In a few well-studied cases, bacterial communities have been observed to coordinate their metabolic fluxes. In principle, bacteria can divide tasks to reap…

Populations and Evolution · Quantitative Biology 2016-04-12 Thibaud Taillefumier , Anna Posfai , Yigal Meir , Ned S. Wingreen

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

A binary mixture of two-different-sizes proliferating motile disks is studied. As growth is space-limited, we focus on the conditions such that there is coexistence of both large and small disks, or dominance of the larger disks. The study…

Statistical Mechanics · Physics 2024-01-29 Alejandro Almodóvar , Tobias Galla , Cristóbal López
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