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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…

偏微分方程分析 · 数学 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

We investigate morphologies of proliferating cellular tissue using a newly developed numerical simulation model for mechanical cell division. The model reproduces structures of simple multi-cellular organisms via simple rules for selective…

软凝聚态物质 · 物理学 2018-11-20 Pranav Madhikar , Jan Åström , Björn Baumeier , Mikko Karttunen

Substrate-based cell motility is essential for fundamental biological processes, such as tissue growth, wound healing and immune response. Even if a comprehensive understanding of this motility mode remains elusive, progress has been…

细胞行为 · 定量生物学 2016-05-23 Wieland Marth , Axel Voigt

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,…

细胞行为 · 定量生物学 2015-07-31 Matthias Jörg Fuhr , Michael Meyer , Eric Fehr , Gilles Ponzio , Sabine Werner , Hans Jürgen Herrmann

Although understanding the collective migration of cells, such as that seen in epithelial sheets, is essential for understanding diseases such as metastatic cancer, this motion is not yet as well characterized as individual cell migration.…

We propose a stochastic model for intracellular transport processes associated with the activity of molecular motors. This out-of-equilibrium model, based on a generalized Langevin equation, considers a particle immersed in a viscoelastic…

生物物理 · 物理学 2009-04-15 L. Bruno , M. A. Despósito

Cell deformability is an essential determinant for tissue-scale mechanical nature, such as fluidity and rigidity, and is thus crucial for understanding tissue homeostasis and stable developmental processes. However, numerical simulations…

组织与器官 · 定量生物学 2023-03-08 Nen Saito , Shuji Ishihara

The eukaryotic cell's cytoskeleton is a prototypical example of an active material: objects embedded within it are driven by molecular motors acting on the cytoskeleton, leading to anomalous diffusive behavior. Experiments tracking the…

软凝聚态物质 · 物理学 2021-11-12 Daniel W. Swartz , Brian A. Camley

T cells undergo large shape changes (morphodynamics) when migrating. While progress has been made elucidating the molecular basis of cell migration, statistical characterization of morphodynamics and migration has been limited, particularly…

细胞行为 · 定量生物学 2024-08-09 Yeeren I. Low

The common real-world feature of individuals migrating through a network -- either in real space or online -- significantly complicates understanding of network processes. Here we show that even though a network may appear static on…

物理与社会 · 物理学 2016-08-24 Pedro D. Manrique , Hong Qi , Minzhang Zheng , Chen Xu , Pak Ming Hui , Neil F. Johnson

Mathematical and computational models can assist in gaining an understanding of cell behavior at many levels of organization. Here, we review models in the literature that focus on eukaryotic cell motility at 3 size scales: intracellular…

细胞行为 · 定量生物学 2021-01-27 Andreas Buttenschön , Leah Edelstein-Keshet

Adhesive cell-substrate interactions are crucial for cell motility and are responsible for the necessary traction that propels cells. These interactions can also change the shape of the cell, analogous to liquid droplet wetting on adhesive…

During cell migration, cells become polarized, change their shape, and move in response to various internal and external cues. Cell polarization is defined through the spatio-temporal organization of molecules such as PI3K or small GTPases,…

生物物理 · 物理学 2016-07-07 Fabian Spill , Vivi Andasari , Michael Mak , Roger D. Kamm , Muhammad H. Zaman

In cell membranes, proteins and lipids diffuse in a highly crowded and heterogeneous landscape, where aggregates and dense domains of proteins or lipids obstruct the path of diffusing molecules. In general, hindered motion gives rise to…

软凝聚态物质 · 物理学 2010-06-16 Margaret R. Horton , Felix Höfling , Joachim O. Rädler , Thomas Franosch

Bacteria are able to respond to environmental signals by changing their rules of movement. When we take into account chemical signals in the environment, this behaviour is often called chemotaxis. At the individual-level, chemotaxis…

偏微分方程分析 · 数学 2007-05-23 Radek Erban , Hyung Ju Hwang

Collective epithelial migration leverages on topological rearrangements of the intercellular junctions, which allow cells to intercalate without loosing confluency. In silico studies have provided a clear indication that this process could…

软凝聚态物质 · 物理学 2025-02-14 Leonardo Puggioni , Dimitrios Krommydas , Luca Giomi

Confluent cell monolayers and epithelia tissues show remarkable patterns and correlations in structural arrangements and actively-driven collective flows. We simulate these properties using multiphase field models. The models are based on…

软凝聚态物质 · 物理学 2021-12-08 Dennis Wenzel , Axel Voigt

Cellular contractility, migration, and extracellular matrix (ECM) mechanics are critical for a wide range of biological processes including embryonic development, wound healing, tissue morphogenesis, and regeneration. Even though the…

生物物理 · 物理学 2023-10-17 Jaemin Kim , Mahmut Selman Sakar , Nikolaos Bouklas

In tissues, cells in direct physical contact with each other can exchange ions or molecules via protein clusters called gap junctions that form channels across the membranes of adjacent cells. Here, we use a simplified biomimetic approach,…

We consider a continuum mechanical model for the migration of multiple cell populations through parts of tissue separated by thin membranes. In this model, cells belonging to different populations may be characterised by different…

偏微分方程分析 · 数学 2021-09-28 Chiara Giverso , Tommaso Lorenzi , Luigi Preziosi