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Collective motion is ubiquitous in nature; groups of animals, such as fish, birds, and ungulates appear to move as a whole, exhibiting a rich behavioral repertoire that ranges from directed movement to milling to disordered swarming.…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Conor Heins , Beren Millidge , Lancelot da Costa , Richard Mann , Karl Friston , Iain Couzin

Diffusion processes are governed by external triggers and internal dynamics in complex systems. Timely and cost-effective control of infectious disease spread critically relies on uncovering the underlying diffusion mechanisms, which is…

Populations and Evolution · Quantitative Biology 2022-02-09 Minkyoung Kim , Dean Paini , Raja Jurdak

The movement of organisms and cells can be governed by occasional long distance runs, according to an approximate L\'evy walk. For T cells migrating through chronically-infected brain tissue, runs are further interrupted by long pauses, and…

Biological Physics · Physics 2020-03-06 Gissell Estrada-Rodriguez , Heiko Gimperlein , Kevin J. Painter , Jakub Stocek

Transitions between solid-like and fluid-like states in living tissues have been found in steps of embryonic development and in stages of disease progression. Our current understanding of these transitions has been guided by experimental…

Soft Condensed Matter · Physics 2024-11-20 Steven J. Chisolm , Emily Guo , Vignesh Subramaniam , Kyle D. Schulze , Thomas E. Angelini

In this paper we present an individual-based mechanical model that describes the dynamics of two contiguous cell populations with different proliferative and mechanical characteristics. An off-lattice modelling approach is considered…

Analysis of PDEs · Mathematics 2020-01-14 Tommaso Lorenzi , Philip J. Murray , Mariya Ptashnyk

We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

Analysis of PDEs · Mathematics 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

Artificial immune systems, more specifically the negative selection algorithm, have previously been applied to intrusion detection. The aim of this research is to develop an intrusion detection system based on a novel concept in immunology,…

Artificial Intelligence · Computer Science 2016-11-17 Julie Greensmith , Jamie Twycross , Uwe Aickelin

We propose a minimal mathematical model to explain long-range coordination of dynamics of multiple cells in epithelial spreading, which may be induced, under different conditions, by a chemical signal, or mechanical stress, or both. The…

Biological Physics · Physics 2009-11-30 L. M. Pismen , S. Y. Shvartsman

Mathematical models are vital interpretive and predictive tools used to assist in the understanding of cell migration. There are typically two approaches to modelling cell migration: either micro-scale, discrete or macro-scale, continuum.…

Cell Behavior · Quantitative Biology 2018-08-16 Enrico Gavagnin , Christian A. Yates

There is increasing interest in the analysis of biological tissue, its organization and its dynamics with the help of mathematical models. In the ideal case emergent properties on the tissue scale can be derived from the cellular scale.…

Tissues and Organs · Quantitative Biology 2009-11-13 Tilo Beyer , Michael Meyer-Hermann

We extend a model for the morphology and dynamics of a crawling eukaryotic cell to describe cells on micropatterned substrates. This model couples cell morphology, adhesion, and cytoskeletal flow in response to active stresses induced by…

Cell Behavior · Quantitative Biology 2015-06-17 Brian A. Camley , Yanxiang Zhao , Bo Li , Herbert Levine , Wouter-Jan Rappel

Recent experiments demonstrate a temperature control of the electric conduction through a ferrocene-based molecular junction. Here we examine the results in view of determining means to distinguish between transport through single-particle…

Mesoscale and Nanoscale Physics · Physics 2018-02-23 Miguel A. Sierra , David Sánchez , Alvar R. Garrigues , Enrique del Barco , Lejia Wang , Christian A. Nijhuis

We introduce and study methods for inferring and learning from correspondences among neurons. The approach enables alignment of data from distinct multiunit studies of nervous systems. We show that the methods for inferring correspondences…

Neurons and Cognition · Quantitative Biology 2015-01-28 Ashish Kapoor , E. Paxon Frady , Stefanie Jegelka , William B. Kristan , Eric Horvitz

The ability of eukaryotic cells to squeeze through constrictions is limited by the stiffness of their large and rigid nucleus. However, migrating cells are often able to overcome this limitation and pass through constrictions much smaller…

Biological Physics · Physics 2023-12-20 Sirine Amiri , Yirui Zhang , Andonis Gerardos , Cécile Sykes , Pierre Ronceray

Mathematical models describing the spatial spreading and invasion of populations of biological cells are often developed in a continuum modelling framework using reaction-diffusion equations. While continuum models based on linear diffusion…

Cellular Automata and Lattice Gases · Physics 2024-01-23 Matthew J Simpson , Keeley M Murphy , Scott W McCue , Pascal R Buenzli

The skin forms an efficient barrier against the environment, and rapid cutaneous wound healing after injury is therefore essential. Healing of the uppermost layer of the skin, the epidermis, involves collective migration of keratinocytes,…

Cell Behavior · Quantitative Biology 2015-07-31 Matthias Jörg Fuhr , Michael Meyer , Eric Fehr , Gilles Ponzio , Sabine Werner , Hans Jürgen Herrmann

The shape of a cell influences and it is influenced by interactions with its neighbouring partners. Here, we introduce a coarse-grained model of non-reciprocal interactions between single-cell organisms to study emergent morphologies during…

Soft Condensed Matter · Physics 2025-06-17 Maitane Muñoz-Basagoiti , Michael Wassermair , Miguel Amaral , Buzz Baum , Anđela Šarić

How do groups of individuals achieve consensus in movement decisions? Do individuals follow their friends, the one predetermined leader, or whomever just happens to be nearby? To address these questions computationally, we formalize…

Machine Learning · Statistics 2020-05-20 Chainarong Amornbunchornvej , Tanya Berger-Wolf

Quantifying the outcomes of cells collisions is a crucial step in building the foundations of a kinetic theory of living matter. Here, we develop a mechanical theory of such collisions by first representing individual cells as extended…

Biological Physics · Physics 2019-12-11 Pierre Recho , Thibaut Putelat , Lev Truskinovsky

The collective migration of epithelial groups of cells plays a central role in processes such as embryo development, wound healing, and cancer invasion. While finite cell clusters are known to collectively migrate in response to external…