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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…

软凝聚态物质 · 物理学 2024-11-20 Steven J. Chisolm , Emily Guo , Vignesh Subramaniam , Kyle D. Schulze , Thomas E. Angelini

We study the spatial patterns formed by a system of interacting particles where the mobility of any individual is determined by the population crowding at two different spatial scales. In this way we model the behavior of some biological…

Spatial self-organization emerges in distributed systems exhibiting local interactions when nonlinearities and the appropriate propagation of signals are at work. These kinds of phenomena can be modeled with different frameworks, typically…

细胞行为 · 定量生物学 2016-11-23 Adriano Bonforti , Salva Duran-Nebreda , Raul Montañez , Ricard Solé

Using numerical simulations, we study the dynamical evolution of particles interacting via competing long-range repulsion and short-range attraction in two dimensions. The particles are compressed using a time-dependent quasi-one…

软凝聚态物质 · 物理学 2017-12-06 D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

Many types of mammalian cells exert active contractile forces and mechanically deform their elastic substrate, to accomplish biological functions such as cell migration. These substrate deformations provide a mechanism by which cells can…

软凝聚态物质 · 物理学 2022-02-22 Subhaya Bose , Patrick S. Noerr , Ajay Gopinathan , Arvind Gopinath , Kinjal Dasbiswas

New model equations are derived for dynamics of self-aggregation of finite-size particles. Differences from standard Debye-Huckel and Keller-Segel models are: the mobility of particles depends on the configuration of their neighbors and…

斑图形成与孤子 · 物理学 2009-11-11 Darryl D. Holm , Vakhtang Putkaradze

New model equations are derived for dynamics of self-aggregation of finite-size particles. Differences from standard Debye-Huckel and Keller-Segel models are: a) the mobility $\mu$ of particles depends on the locally-averaged particle…

斑图形成与孤子 · 物理学 2009-11-11 Darryl D. Holm , Vakhtang Putkaradze

We present a comprehensive computational study of the collective behavior emerging from the competition between self-propulsion, excluded volume interactions and velocity-alignment in a two-dimensionnal model of active particles. We…

软凝聚态物质 · 物理学 2018-01-08 Aitor Martín-Gómez , Demian Levis , Albert Díaz-Guilera , Ignacio Pagonabarraga

The interplay between space and evolution is an important issue in population dynamics, that is in particular crucial in the emergence of polymorphism and spatial patterns. Recently, biological studies suggest that invasion and evolution…

概率论 · 数学 2016-08-16 Nicolas Champagnat , Sylvie Méléard

The emergence of collective motion, also known as flocking or swarming, in groups of moving individuals who orient themselves using only information from their neighbors is a very general phenomenon that is manifested at multiple spatial…

统计力学 · 物理学 2016-04-26 David A. Quint , Ajay Gopinathan

The spatial arrangement of individuals is thought to overcome the dilemma of cooperation: When cooperators engage in clusters they might share the benefit of cooperation while being more protected against non-cooperating individuals, which…

种群与进化 · 定量生物学 2013-04-18 Anatolij Gelimson , Jonas Cremer , Erwin Frey

Cooperation often depends on individuals avoiding exploitation and interacting preferentially with other cooperators. We explore how context-dependent migration influences the evolution of cooperation in spatially structured populations.…

种群与进化 · 定量生物学 2025-09-03 Dhaker Kroumi

Alignment interactions in active matter are typically modeled as relaxational dynamics toward local consensus. In unbounded systems, this makes alignment effectively decoupled from local density and therefore unable to sustain self-confined…

软凝聚态物质 · 物理学 2026-04-10 Julian Giraldo-Barreto , Viktor Holubec

Continuum models for the spatial dynamics of growing cell populations have been widely used to investigate the mechanisms underpinning tissue development and tumour invasion. These models consist of nonlinear partial differential equations…

组织与器官 · 定量生物学 2019-07-15 Mark AJ Chaplain , Tommaso Lorenzi , Fiona R Macfarlane

This paper presents a mathematical framework for modeling the dynamics of heterogeneous populations. Models describing local and non-local growth and transport processes, dependent on dynamically changing population structures, appear in a…

偏微分方程分析 · 数学 2023-10-02 Christian Düll , Piotr Gwiazda , Anna Marciniak-Czochra , Jakub Skrzeczkowski

Deformable self-propelled particles provide us with one of the most important nonlinear dissipative systems, which are related, for example, to the motion of microorganisms. It is emphasized that this is a subject of localized objects in…

软凝聚态物质 · 物理学 2015-06-17 M. Tarama , Y. Itino , A. M. Menzel , T. Ohta

Understanding how cooperation can evolve in populations despite its cost to individual cooperators is an important challenge. Models of spatially structured populations with one individual per node of a graph have shown that cooperation,…

种群与进化 · 定量生物学 2024-12-30 Alix Moawad , Alia Abbara , Anne-Florence Bitbol

We report three-dimensional particle mechanics static calculations that predict the microstructure evolution during die-compaction of elastic spherical particles up to relative densities close to one. We employ a nonlocal contact…

软凝聚态物质 · 物理学 2016-08-03 Marcial Gonzalez , Alberto M. Cuitino

We study the collective dynamics of repulsive self-propelled particles. The particles are governed by coupled equations of motion that include polar self-propulsion, damping of velocity and of polarity, repulsive particle-particle…

统计力学 · 物理学 2017-01-04 Takayuki Hiraoka , Takashi Shimada , Nobuyasu Ito

Biological adhesion is a critical mechanical function of complex organisms operating at multiple scales. At the cellular scale, cell-cell adhesion is remarkably tunable to enable both cohesion and malleability during development,…

软凝聚态物质 · 物理学 2022-03-07 Dimitri Kaurin , Pradeep K. Bal , Marino Arroyo
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