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Morphogenesis involves complex shape changes of biological tissues. Yet, tissue shape changes depend on tissue rheology, which in turn arises from the interplay of large numbers of cells. Here, we link cell- and tissue-scale mechanics by…

Soft Condensed Matter · Physics 2026-02-27 Shalabh Kumar Anand , Matthias Merkel

The development of complex multicellular organisms from a single parent cell is a highly orchestrated process that cells conduct collectively without central guidance, creating intricate dynamic patterns essential for development and…

Soft Condensed Matter · Physics 2025-05-29 Siavash Monfared , Aleksandra Ardaševa , Amin Doostmohammadi

The organization of cells within tissues plays a vital role in various biological processes, including development and morphogenesis. As a result, understanding how cells self-organize in tissues has been an active area of research. In our…

Soft Condensed Matter · Physics 2023-10-09 Kanaya Malakar , Rafael I. Rubenstein , Dapeng Bi , Bulbul Chakraborty

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…

Soft Condensed Matter · Physics 2018-11-20 Pranav Madhikar , Jan Åström , Björn Baumeier , Mikko Karttunen

The emergence of multicellularity and developmental programs are among the major problems of evolutionary biology. Traditionally, research in this area has been based on the combination of data analysis and experimental work on one hand and…

Populations and Evolution · Quantitative Biology 2014-03-14 Ricard V. Solé , Salva Duran-Nebreda

Tree-based models have achieved great success in a wide range of real-world applications due to their effectiveness, robustness, and interpretability, which inspired people to apply them in vertical federated learning (VFL) scenarios in…

Machine Learning · Computer Science 2025-04-04 Bingchen Qian , Yuexiang Xie , Yaliang Li , Bolin Ding , Jingren Zhou

By modifying and calibrating an active vertex model to experiments, we have simulated numerically a confluent cellular monolayer spreading on an empty space and the collision of two monolayers of different cells in an antagonistic migration…

Soft Condensed Matter · Physics 2021-04-02 L. L. Bonilla , A. Carpio , C. Trenado

We introduce a generic, purely mechanical model for environment sensitive motion of mammalian cells that is applicable to chemotaxis, haptotaxis, and durotaxis as modes of motility. It is able to theoretically explain all relevant…

Cell Behavior · Quantitative Biology 2016-05-09 Patrick Bitter , Kristof Leon Beck , Peter Lenz

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

Computational modelling is helpful for elucidating the cellular mechanisms driving biological morphogenesis. Previous simulation studies of blood vessel growth based on the Cellular Potts model (CPM) proposed that elongated, adhesive or…

Cell Behavior · Quantitative Biology 2015-09-07 Dimitrios Palachanis , András Szabó , Roeland M. H. Merks

A distinguishing feature of a multicellular living system is that it operates at various scales, from the intracellular to organismal. Very little is known at present on how tissue level properties are related to cell and subcellular…

Biological Physics · Physics 2007-06-26 Elijah Flenner , Francoise Marga , Adrian Neagu , Ioan Kosztin , Gabor Forgacs

Multiphase field models have emerged as an important computational tool for understanding biological tissue while resolving single-cell properties. While they have successfully reproduced many experimentally observed behaviors of living…

Soft Condensed Matter · Physics 2025-02-13 Michael Chiang , Austin Hopkins , Benjamin Loewe , Davide Marenduzzo , M. Cristina Marchetti

Rapid advance of experimental techniques provides an unprecedented in-depth view into complex developmental processes. Still, little is known on how the complexity of multicellular organisms evolved by elaborating developmental programs and…

Molecular Networks · Quantitative Biology 2021-07-16 Somya Mani , Tsvi Tlusty

Filaments are ubiquitous within the microscopic world. They occur frequently in both biological and industrial environments and display varied and rich dynamics. Their wide range of applications has spurred the development of a special…

Fluid Dynamics · Physics 2023-03-31 Lyndon Koens , Benjamin J. Walker

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

We present a rotationally invariant viscous vertex model that accounts for both cortical and bulk dissipation of cells. The vanishing substrate-friction limit is enforced via Lagrange multipliers, which also provides a framework for…

Biological Physics · Physics 2026-03-31 Shao-Zhen Lin , Sham Tlili , Jean-François Rupprecht

Tissue dynamics and collective cell motion are crucial biological processes. Their biological machinery is mostly known, and simulation models such as the "active vertex model" (AVM) exist and yield reasonable agreement with experimental…

Soft Condensed Matter · Physics 2023-11-16 Gloria Triguero-Platero , Falko Ziebert , Luis L. Bonilla

Epithelia are confluent cell layers that self-organize into polygonal networks whose geometry encodes their mechanical state. A principal driver is the tunable contractility of the actomyosin cortex, which links cell-junction tension to…

Soft Condensed Matter · Physics 2025-12-16 Sulaimaan Lim , Julien Vermot , Chiu Fan Lee

Coordinated and cooperative motion of cells is essential for embryonic development, tissue morphogenesis, wound healing and cancer invasion. A predictive understanding of the emergent mechanical behaviors in collective cell motion is…

Biological Physics · Physics 2022-10-04 Michael F. Staddon , Michael P. Murrell , Shiladitya Banerjee

The Voronoi-based cellular model is highly successful in describing the motion of two-dimensional confluent cell tissues. In the homogeneous version of this model, the energy of each cell is determined solely by its geometric shape and…

Cell Behavior · Quantitative Biology 2018-11-07 Eial Teomy , David A. Kessler , Herbert Levine