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It is now widely recognized that mechanical interactions between cells play a crucial role in epithelial morphogenesis, yet understanding the mechanisms through which stress and deformation affect cell behavior remains an open problem due…

Tissues and Organs · Quantitative Biology 2017-01-20 Nicholas Noll , Madhav Mani , Idse Heemskerk , Sebastian Streichan , Boris I. Shraiman

The vertex model is widely used to describe the dynamics of epithelial tissues, because of its simplicity and versatility and the direct inclusion of biophysical parameters. Here, it is shown that quite generally, when cells modify their…

Soft Condensed Matter · Physics 2020-11-25 Fernanda Perez-Verdugo , Jean-Francois Joanny , Rodrigo Soto

Cell-based, mathematical modeling of collective cell behavior has become a prominent tool in developmental biology. Cell-based models represent individual cells as single particles or as sets of interconnected particles, and predict the…

Cell Behavior · Quantitative Biology 2019-03-12 Henri B. Wolff , Lance A. Davidson , Roeland M. H. Merks

We introduce an active version of the recently proposed finite Voronoi model of epithelial tissue. The resultant Active Finite Voronoi (AFV) model enables the study of both confluent and non-confluent geometries and transitions between…

Soft Condensed Matter · Physics 2023-11-08 Junxiang Huang , Herbert Levine , Dapeng Bi

In order to describe two-dimensionally packed cells in epithelial tissues both mathematically and physically, there have been developed several sorts of geometrical models, such as the vertex model, the finite element model, the…

Biological Physics · Physics 2014-11-19 Yukitaka Ishimoto , Yoshihiro Morishita

Vertex Models, as used to describe cellular tissue, have an energy controlled by deviations of each cell area and perimeter from target values. The constrained nonlinear relation between area and perimeter leads to new mechanical response.…

Soft Condensed Matter · Physics 2022-07-04 Arthur Hernandez , Michael F. Staddon , Mark J. Bowick , M. Cristina Marchetti , Michael Moshe

A continuum model of epithelial tissue mechanics was formulated using cellular-level mechanical ingredients and cell morphogenetic processes, including cellular shape changes and cellular rearrangements. This model can include finite…

Tissues and Organs · Quantitative Biology 2017-09-06 Shuji Ishihara , Philippe Marcq , Kaoru Sugimura

Epithelial tissues dynamically reshape through local mechanical interactions among cells, a process well captured by vertex models. Yet their many tunable parameters make inference and optimization challenging, motivating computational…

Accurate and efficient modeling of soft-tissue interactions is fundamental for advancing surgical simulation, surgical robotics, and model-based surgical automation. To achieve real-time latency, classical Finite Element Method (FEM)…

The fundamental understanding of how cells physically interact with each other and their environment is key to understanding their organisation in living tissues. Over the past decades several computational methods have been developed to…

Quantitative Methods · Quantitative Biology 2026-01-22 Paul Van Liedekerke , Jiří Pešek , Kevin Alessandri , Dirk Drasdo

The dynamics of active viscoelastic surfaces plays an important role in biological systems. One prominent example is the actin cortex, a thin bio-polymer sheet underneath the outer membrane of biological cells which combines active…

A continuum description is built to characterize the stationary and transient deformations of confluent tissues subject to heterogeneous activities. By defining a coarse-grained texture matrix field to represent the shape and size of cells,…

Biological Physics · Physics 2023-08-10 Fernanda Pérez-Verdugo , Rodrigo Soto

Using a mean field approach and simulation, we study the non-linear mechanical response of the vertex model (VM) of biological tissue under compression and dilation. The VM is known to exhibit a transition between rigid and fluid-like, or…

Soft Condensed Matter · Physics 2023-03-14 Arthur Hernandez , Michael F. Staddon , Michael Moshe , M. Cristina Marchetti

We theoretically explore fluidization of epithelial tissues by active T1 neighbor exchanges. We show that the geometry of cell-cell junctions encodes important information about the local features of the energy landscape, which we support…

Soft Condensed Matter · Physics 2018-08-31 Matej Krajnc , Sabyasachi Dasgupta , Primož Ziherl , Jacques Prost

Cellular mechanics plays an important role in epithelial morphogenesis, a process wherein cells reshape and rearrange to produce tissue-scale deformations. However, the study of tissue-scale mechanics is impaired by the difficulty of direct…

Cell Behavior · Quantitative Biology 2020-04-01 Nicholas Noll , Sebastian J. Streichan , Boris I. Shraiman

Epithelial cell monolayers show remarkable displacement and velocity correlations over distances of ten or more cell sizes that are reminiscent of supercooled liquids and active nematics. We show that many observed features can be described…

Soft Condensed Matter · Physics 2020-04-22 Silke Henkes , Kaja Kostanjevec , J. Martin Collinson , Rastko Sknepnek , Eric Bertin

Active nematics is an emerging paradigm for characterising biological systems. One aspect of particularly intense focus is the role active nematic defects play in these systems, as they have been found to mediate a growing number of…

Soft Condensed Matter · Physics 2024-01-25 Andrew Killeen , Thibault Bertrand , Chiu Fan Lee

Several models have been proposed to describe the dynamics of epithelial tissues undergoing morphogenetic changes driven by apical constriction pulses, which differ in where the constriction is applied, either at the perimeter or medial…

Soft Condensed Matter · Physics 2021-06-03 Fernanda Pérez-Verdugo , Germán Reig , Mauricio Cerda , Miguel L. Concha , Rodrigo Soto

We present a hybrid vertex/cell-centred model for mechanically simulating planar cellular monolayers undergoing cell reorganisation. Cell centres are represented by a triangular nodal network, while the cell boundaries are formed by an…

Cell Behavior · Quantitative Biology 2017-05-17 Payman Mosaffa , Antonio Rodríguez-Ferran , José J. Muñoz

Video-Action Models (VAMs) have emerged as a promising framework for embodied intelligence, learning implicit world dynamics from raw video streams to produce temporally consistent action predictions. Although such models demonstrate strong…

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