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We present a generic mechanism by which reproducing microorganisms, with a diffusivity that depends on the local population density, can form stable patterns. It is known that a decrease of swimming speed with density can promote separation…

种群与进化 · 定量生物学 2010-07-13 M. E. Cates , D. Marenduzzo , I. Pagonabarraga , J. Tailleur

Growth-fragmentation processes model systems of cells that grow continuously over time and then fragment into smaller pieces. Typically, on average, the number of cells in the system exhibits asynchronous exponential growth and, upon…

概率论 · 数学 2023-06-08 Emma Horton , Alexander R. Watson

Neurons regulate the distribution of signaling components across an extended tree-like cellular structure using both local and global feedback control. This is hypothesized to allow homeostatic control of the electrical activity of a neuron…

适应与自组织系统 · 物理学 2021-04-27 Saeed Aljaberi , Adriano Bellotti , Timothy O'Leary , Fulvio Forni

How cells maintain a stable size has fascinated scientists since the beginning of modern biology, but has remained largely mysterious. Recently, however, the ability to analyze single bacteria in real time has provided new, important…

细胞行为 · 定量生物学 2015-04-02 Suckjoon Jun , Sattar Taheri-Araghi

We are interested in modeling some two-level population dynamics, resulting from the interplay of ecological interactions and phenotypic variation of individuals (or hosts) and the evolution of cells (or parasites) of two types living in…

概率论 · 数学 2011-01-21 Sylvie Méléard , Sylvie Roelly

We study the surface fluctuations of a tissue with a dynamics dictated by cell-rearrangement, cell-division, and cell-death processes. Surface fluctuations are calculated in the homeostatic state, where cell division and cell death…

生物物理 · 物理学 2015-12-22 Thomas Risler , Aurélien Peilloux , Jacques Prost

Neural activity exhibits a vast range of timescales that can be several fold larger than the membrane time constant of individual neurons. Two types of mechanisms have been proposed to explain this conundrum. One possibility is that large…

神经元与认知 · 定量生物学 2019-03-26 Manuel Beiran , Srdjan Ostojic

The aim of this study is to compare the growth speed of different cell populations measured by their Malthus parameter. We focus on both the age-structured and size-structured equations. A first population (of reference) is composed of…

概率论 · 数学 2017-03-02 Adélaïde Olivier

The proper functioning of multicellular organisms requires the robust establishment of precise proportions between distinct cell-types. This developmental differentiation process typically involves intracellular regulatory and stochastic…

细胞行为 · 定量生物学 2016-06-22 Benjamin Pfeuty , Kunihiko Kaneko

Cell colonies of bacteria, tumour cells and fungi, under nutrient limited growth conditions, exhibit complex branched growth patterns. In order to investigate this phenomenon we present a simple hybrid cellular automaton model of cell…

生物物理 · 物理学 2007-05-23 P. Gerlee , A. R. A Anderson

The evolutionary success of bacteria lies in their ability to form complex surface-associated communities in diverse biophysical settings. However, it remains poorly understood how compliance of soft surfaces, measured in terms of their…

软凝聚态物质 · 物理学 2025-08-05 Garima Rani , Anupam Sengupta

Microbes require several complex organic molecules for growth. A species may obtain a required factor by taking up molecules released by other species or by synthesizing the molecule. The patterns of uptake and synthesis set a flow of…

种群与进化 · 定量生物学 2014-02-27 Steven A. Frank

Signal duration (e.g. the time scales over which an active signaling intermediate persists) is a key regulator of biological decisions in myriad contexts such as cell growth, proliferation, and developmental lineage commitments.…

分子网络 · 定量生物学 2008-02-20 Jason W. Locasale

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…

生物物理 · 物理学 2016-06-28 Ken Yamamoto , Jun-ichi Wakita

Yeast cells grown in culture can spontaneously synchronize their respiration, metabolism, gene expression and cell division. Such metabolic oscillations in synchronized cultures reflect single-cell oscillations, but the relationship between…

基因组学 · 定量生物学 2014-06-16 Nikolai Slavov , David Botstein , Amy Caudy

Hydrodynamics is known to have strong effects on the kinetics of phase separation. There exist open questions on how such effects manifest in systems under confinement. Here, we have undertaken extensive studies of the kinetics of phase…

软凝聚态物质 · 物理学 2025-11-03 Saikat Basu , Suman Majumder , Raja Paul , Subir K. Das

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…

概率论 · 数学 2024-09-06 Nathalie Krell

Cells within living soft biological tissues seem to promote the maintenance of a mechanical state within a defined range near a so-called set-point. This mechanobiological process is often referred to as mechanical homeostasis. During this…

The analysis of network dynamics is oftentimes restricted to networks with one-dimensional internal dynamics. Here, we show how symmetry explains the relation between behavior of systems with one-dimensional internal dynamics and with…

动力系统 · 数学 2026-03-25 Sören von der Gracht , Eddie Nijholt , Bob Rink

To maintain renewing epithelial tissues in a healthy, homeostatic state, (stem) cell divisions and differentiation need to be tightly regulated. Mechanisms of homeostatic control often rely on crowding control: cells are able to sense the…

组织与器官 · 定量生物学 2023-01-16 Cristina Parigini , Philip Greulich