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Artificial Intelligence Virtual Cells (AIVCs) aim to learn executable, decision-relevant models of cell state from multimodal, multiscale measurements. Recent studies have introduced single-cell and spatial foundation models, improved…

Artificial Intelligence · Computer Science 2025-12-03 Chengpeng Hu , Calvin Yu-Chian Chen

Eukaryotic cells adhere to extracellular matrix during the normal development of the organism, forming static adhesion as well as during cell motility. We study this process by considering a simplified coarse-grained model of a vesicle that…

Biological Physics · Physics 2021-01-05 Raj Kumar Sadhu , Samo Penič , Aleš Iglič , Nir S. Gov

Modeling membrane interactions with arbitrarily shaped colloidal particles, such as environmental micro- and nanoplastics, at the cell scale remains particularly challenging, owing to the complexity of particle geometries and the need to…

Soft Condensed Matter · Physics 2025-09-15 Didarul Ahasan Redwan , Justin Reicher , Xin Yong

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

Mathematical models come in many forms across biological applications. In the case of complex, spatial dynamics and pattern formation, stochastic models also face two main challenges: pattern data is largely qualitative, and model…

Cell Behavior · Quantitative Biology 2022-12-26 Electa Cleveland , Angela Zhu , Bjorn Sandstede , Alexandria Volkening

Vertex models are a popular approach to modeling the mechanical and dynamical properties of dense biological tissues, describing the tissue as a network of connected polygons representing the cells. Recently a class of two-dimensional…

Soft Condensed Matter · Physics 2017-08-14 Daniel M. Sussman , Matthias Merkel

In this paper homogenization of a mathematical model for plant tissue biomechanics is presented. The microscopic model constitutes a strongly coupled system of reaction-diffusion-convection equations for chemical processes in plant cells,…

Analysis of PDEs · Mathematics 2017-08-24 Andrey Piatnitski , Mariya Ptashnyk

A contemporary procedure to grow artificial tissue is to seed cells onto a porous biomaterial scaffold and culture it within a perfusion bioreactor to facilitate the transport of nutrients to growing cells. Typical models of cell growth for…

Tissues and Organs · Quantitative Biology 2018-05-01 Andrew L. Krause , Dmitry Beliaev , Robert A. Van Gorder , Sarah L. Waters

Although tissues are usually studied in isolation, this situation rarely occurs in biology, as cells, tissues, and organs, coexist and interact across scales to determine both shape and function. Here, we take a quantitative approach…

Tissues and Organs · Quantitative Biology 2023-02-07 Carles Falcó , Daniel J. Cohen , José A. Carrillo , Ruth E. Baker

In this paper we address some modelling issues related to biological growth. Our treatment is based on a recently-proposed, general formulation for growth within the context of Mixture Theory (Journal of the Mechanics and Physics of Solids,…

Tissues and Organs · Quantitative Biology 2011-11-09 H. Narayanan , E. M. Arruda , K. Grosh , K. Garikipati

Collective cell migration is a highly regulated process involved in wound healing, cancer metastasis and morphogenesis. Mechanical interactions among cells provide an important regulatory mechanism to coordinate such collective motion.…

Soft Condensed Matter · Physics 2022-06-08 Xingbo Yang , Dapeng Bi , Michael Czajkowski , Matthias Merkel , M. Lisa Manning , M. Cristina Marchetti

We present SoftSMPL, a learning-based method to model realistic soft-tissue dynamics as a function of body shape and motion. Datasets to learn such task are scarce and expensive to generate, which makes training models prone to overfitting.…

Computer Vision and Pattern Recognition · Computer Science 2020-12-11 Igor Santesteban , Elena Garces , Miguel A. Otaduy , Dan Casas

Morphogenesis, tissue regeneration and cancer invasion involve transitions in tissue morphology. These transitions, caused by collective cell migration (CCM), have been interpreted as active wetting/de-wetting transitions. This phenomenon…

Cell Behavior · Quantitative Biology 2022-08-29 Ivana Pajic-Lijakovic , Milan Milivojevic

Understanding the behaviour of biological systems requires a complex setting of in vitro and in vivo experiments, which attracts high costs in terms of time and resources. The use of mathematical models allows researchers to perform…

Computational Engineering, Finance, and Science · Computer Science 2009-11-30 Thomas Anung Basuki , Antonio Cerone , Rafael V. Carvalho

Collective cell migration governs a range of physiological and pathological processes, from tissue morphogenesis to cancer invasion, in which topological defects arise as an inevitable consequence of frequent cellular rearrangement and…

Soft Condensed Matter · Physics 2026-04-01 Jiusi Zhang , Chung Wing Chan , Bo Li , Rui Zhang

Cell rearrangements are fundamental mechanisms driving large-scale deformations of living tissues. In three-dimensional (3D) space-filling cell aggregates, cells rearrange through local topological transitions of the network of cell-cell…

Soft Condensed Matter · Physics 2024-05-03 Tanmoy Sarkar , Matej Krajnc

Virtual cell modeling aims to predict cellular responses to perturbations. Existing virtual cell models rely heavily on large-scale single-cell datasets, learning explicit mappings between gene expression and perturbations. Although recent…

Cell Behavior · Quantitative Biology 2026-03-02 Zhijian Wei , Runze Ma , Zichen Wang , Zhongmin Li , Shuotong Song , Shuangjia Zheng

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

Most conspicuous organisms are multicellular and most multicellular organisms develop somatic cells to perform specific, non-reproductive tasks. The ubiquity of this division of labor suggests that it is highly advantageous. In this paper,…

Populations and Evolution · Quantitative Biology 2008-01-18 Martin Willensdorfer

The Dynamic Template model of biological cell membranes and the cytoplasm as spatially organised fluid layers is extended to plant cells, and is shown to offer a feasible shear driven mechanism for the co-alignment of internal and external…

General Physics · Physics 2008-07-15 J. T. Lofthouse
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