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Many chemotactic bacteria inhabit environments in which chemicals appear as localized pulses and evolve by processes such as diffusion and mixing. We show that, in such environments, physical limits on the accuracy of temporal gradient…

Biological Physics · Physics 2016-01-19 Andrew M. Hein , Douglas R. Brumley , Francesco Carrara , Roman Stocker , Simon A. Levin

Cellular decision making allows cells to assume functionally different phenotypes in response to microenvironmental cues, without genetic change. It is an open question, how individual cell decisions influence the dynamics at the tissue…

In this work, we introduce a cross-diffusion model that couples population density and occupied area to investigate how internal pressure drives growth and motility. By blending nonlinear nonlocal interactions with porous-medium diffusion…

Analysis of PDEs · Mathematics 2025-08-01 Alexis Béjar-López , Rafael Granero-Belinchón , Carlos Pulido , Juan Soler

We consider here a logistic equation, modeling processes of nonlocal character both in the diffusion and proliferation terms. More precisely, for populations that propagate according to a L\'evy process and can reach resources in a…

Analysis of PDEs · Mathematics 2016-01-22 Luis Caffarelli , Serena Dipierro , Enrico Valdinoci

We study, numerically and analytically, the forced transport of deformable containers through a narrow constriction. Our central aim is to quantify the competition between the constriction geometry and the active forcing, regulating whether…

Soft Condensed Matter · Physics 2015-02-10 Remy Kusters , Thijs van der Heijden , Badr Kaoui , Jens Harting , Cornelis Storm

A coupled map is suggested to investigate various spatial or temporal designs in biology: Several cells (or tissues) in an organ are considered as connected to each other in terms of some molecular diffusions or electrical potential…

General Physics · Physics 2011-06-07 Caglar Tuncay

While fields like Artificial Life have made huge strides in quantifying the mechanisms that distinguish living systems from non-living ones, particular mechanisms remain difficult to reproduce in silico. Known as open-endedness, we've been…

Biological Physics · Physics 2024-07-18 Alyssa M Adams , Eliott Jacopin , Praful Gagrani , Olaf Witkowski

In this paper we introduce a space-dependent multiscale model to describe the spatial spread of an infectious disease under uncertain data with particular interest in simulating the onset of the COVID-19 epidemic in Italy. While virus…

Populations and Evolution · Quantitative Biology 2021-08-31 Giulia Bertaglia , Walter Boscheri , Giacomo Dimarco , Lorenzo Pareschi

Motility is an essential factor for an organism's survival and diversification. With the advent of novel single-cell technologies, analytical frameworks and theoretical methods, we can begin to probe the complex lives of microscopic motile…

Eukaryotic cells perform chemotaxis by determining the direction of chemical gradients based on stochastic sensing of concentrations at the cell surface. To examine the efficiency of this process, previous studies have investigated the…

Cell Behavior · Quantitative Biology 2025-02-06 Kento Nakamura , Tetsuya J. Kobayashi

Highly-optimized complex transport networks serve crucial functions in many man-made and natural systems such as power grids and plant or animal vasculature. Often, the relevant optimization functional is non-convex and characterized by…

Biological Physics · Physics 2016-09-23 Henrik Ronellenfitsch , Eleni Katifori

Cell-to-cell variability is inherent to numerous biological processes, including cell migration. Quantifying and characterizing the variability of migrating cells is challenging, as it requires monitoring many cells for long time windows…

Biological Physics · Physics 2021-05-06 David B. Brückner , Alexandra Fink , Joachim O. Rädler , Chase P. Broedersz

The combination of protrusions and retractions in the movement of polarized cells leads to understand the effect of possible synchronisation between the two ends of the cells. This synchronisation, in turn, could lead to different dynamics…

Cell Behavior · Quantitative Biology 2021-09-21 Gissell Estrada-Rodriguez , Benoit Perthame

Human travelling behaviours are markedly regular, to a large extent, predictable, and mostly driven by biological necessities (\eg sleeping, eating) and social constructs (\eg school schedules, synchronisation of labour). Not surprisingly,…

Understanding and predicting human migration patterns is a central challenge in population dynamics research. Traditional physics-inspired gravity and radiation models represent migration flows as functions of attractiveness using…

Applications · Statistics 2024-12-03 Aric Cutuli , Upmanu Lall , Michael J. Puma , Émile Esmaili , Rachata Muneepeerakul

Localized receptive fields -- neurons that are selective for certain contiguous spatiotemporal features of their input -- populate early sensory regions of the mammalian brain. Unsupervised learning algorithms that optimize explicit…

Machine Learning · Computer Science 2025-01-30 Leon Lufkin , Andrew M. Saxe , Erin Grant

At the continuous level, we consider two types of tumor growth models: the cell density model, which is based on the fluid mechanical construction, is more favorable for scientific interpretation and numerical simulations; and the free…

Analysis of PDEs · Mathematics 2019-10-28 Jian-Guo Liu , Min Tang , Li Wang , Zhennan Zhou

We propose a novel mechanism of cell motility, which relies on the coupling of actin polymerization at the cell membrane to geometric confinement. We consider a polymerizing viscoelastic cytoskeletal gel confined in a narrow channel, and…

Soft Condensed Matter · Physics 2009-02-13 R. J. Hawkins , M. Piel , G. Faure-Andre , A. M. Lennon-Dumenil , J. F. Joanny , J. Prost , R. Voituriez

Physical thermodynamic and kinetic, chemical and biological reasoning restrict the spatial dimensions of living cells and confine them to between one and one hundred micrometers. Cells should necessarily be macroscopic, dissipative objects,…

Biological Physics · Physics 2017-05-12 Edward Bormashenko , Alexander Voronel

This study builds upon a model proposed by Joanny and collaborators that examines the dynamics of interfaces between two distinct cell populations, particularly during tumor growth in healthy tissues. This framework leads to the…

Analysis of PDEs · Mathematics 2024-09-20 Juan Campos , Carlos Pulido , Juan Soler