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We propose a modelling framework to analyse the stochastic behaviour of heterogeneous, multi-scale cellular populations. We illustrate our methodology with a particular example in which we study a population with an oxygen-regulated…

Biological Physics · Physics 2017-09-01 Roberto de la Cruz , Pilar Guerrero , Fabian Spill , Tomás Alarcón

The cytoskeleton is essential for the maintenance of cell morphology in eukaryotes. In fission yeast for example, polarized growth sites are organized by actin whereas microtubules (MT) acting upstream control where growth occurs (La…

Cell Behavior · Quantitative Biology 2009-03-30 Dietrich Foethke , Tatyana Makushok , Damian Brunner , Francois Nedelec

We consider a random process on recursive trees, with three types of events. Vertices give birth at a constant rate (growth), each edge may be removed independently (fragmentation of the tree) and clusters (or trees) are frozen with a rate…

Probability · Mathematics 2022-09-07 Vincent Bansaye , Chenlin Gu , Linglong Yuan

We study a stochastic epidemic model consisting of elements (organisms in a community or cells in tissue) with fixed positions, in which damage or disease is transmitted by diffusing agents ("signals") emitted by infected individuals. The…

Populations and Evolution · Quantitative Biology 2015-06-05 Fernando P. Faria , Ronald Dickman

The development of multicellular organisms proceeds through a series of morphogenetic and cell-state transitions, transforming homogeneous zygotes into complex adults by a process of self-organization. Many of these transitions are achieved…

Tissues and Organs · Quantitative Biology 2020-07-08 Jake Cornwall Scoones , Deb Sankar Banerjee , Shiladitya Banerjee

The conventional framework for defining and understanding phases of matter requires thermodynamic equilibrium. Extensions to non-equilibrium systems have led to surprising insights into the nature of many-body thermalization and the…

We propose an ``active XY model'' that incorporates key elements of both the classical XY model and the Vicsek model to study the role of topological defects in active matter systems. This model features self-propelled particles with XY…

Soft Condensed Matter · Physics 2026-04-17 Shun Inoue , Satoshi Yukawa

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

Cells generally convert nutrient resources to useful products via energy transduction. Accordingly, the thermodynamic efficiency of this conversion process is one of the most essential characteristics of living organisms. However, although…

Biological Physics · Physics 2016-05-04 Yusuke Himeoka , Kunihiko Kaneko

We present the Brownian dynamics simulation of active colloidal suspension in two dimensions, where the self-propulsion speed of a colloid is regulated according to the local density sensed by it. The role of concentration-dependent…

Soft Condensed Matter · Physics 2021-01-29 Francis Jose , Shalabh K. Anand , Sunil P. Singh

We present a framework in which the transition between a many-body localised (MBL) phase and an ergodic one is symmetry breaking. We consider random Floquet spin chains, expressing their averaged spectral form factor (SFF) as a function of…

Statistical Mechanics · Physics 2021-10-26 S. J. Garratt , J. T. Chalker

During wound healing, fish keratocyte cells undergo galvanotaxis where they follow a wound-induced electric field. In addition to their stereotypical persistent motion, keratocytes can develop circular motion without a field or oscillate…

Biological Physics · Physics 2024-12-17 Ifunanya Nwogbaga , Brian A. Camley

The cambium is a meristematic tissue in plant stems. Here, cell divisions occur that are required for radial growth of plant stems. Daughters of cell divisions within the cambium differentiate into woody xylem cells towards the inside of…

Cell Behavior · Quantitative Biology 2025-02-17 K. S. Bagdassarian , J. P. Etchells , N. S. Savage

Within a mathematical model, the process of interaction of the metabolic processes such as glycolysis and gluconeogenesis is studied. As a result of the running of two opposite processes in a cell, the conditions for their interaction and…

Other Quantitative Biology · Quantitative Biology 2017-07-19 V. I. Grytsay

Cell stiffness is a key determinant of how cells deform, migrate, and adapt to mechanically restrictive environments, yet existing single-cell stiffness assays remain difficult to combine with molecular analysis and downstream functional…

Cell Behavior · Quantitative Biology 2026-04-02 Yuhao Zhang , Luyao Zhao , Zhengfu Huang , Kenan Song , Xianqiao Wang , Xianyan Chen , Jin Xie , Yiping Zhao , He Li , Leidong Mao , Yong Teng , Yang Liu

How are granular details of stochastic growth and division of individual cells reflected in smooth deterministic growth of population numbers? We provide an integrated, multiscale perspective of microbial growth dynamics by formulating a…

The basic process of the innate immune system when phagocyte (white blood cell) engulf or swallow a target particle (bacterium or dead cell), is called phagocytosis. We apply the phase field approach in the spirit of [1], that couples the…

Biological Physics · Physics 2021-11-15 Mohammad Abu Hamed , Alexander A. Nepomnyashchy

Constrained-occupancy self-consistent-field ($\Delta$SCF) methods and many-body perturbation theories (MBPT) are two strategies for obtaining electronic excitations from first-principles. Using the two distinct approaches, we study the O…

Materials Science · Physics 2017-03-08 Yufeng Liang , John Vinson , Sri Pemmeraju , Walter Drisdell , Eric Shirley , David Prendergast

As cells grow and divide under a given environment, they become crowded and resources are limited, as seen in bacterial biofilms and multicellular aggregates. These cells often show strong interactions through exchanging chemicals, as in…

Cell Behavior · Quantitative Biology 2017-02-08 Jumpei F Yamagishi , Nen Saito , Kunihiko Kaneko

We develop and study the hydrodynamic theory of flocking with autochemotaxis. This describes large collections of self-propelled entities all spontaneously moving in the same direction, each emitting a substance which attracts the others…

Soft Condensed Matter · Physics 2024-01-19 Maxx Miller , John Toner
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