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We review the state of the art of active fluids with particular attention to hydrodynamic continuous models and to the use of Lattice Boltzmann Methods (LBM) in this field. We present the thermodynamics of active fluids, in terms of liquid…

Soft Condensed Matter · Physics 2019-10-07 Livio Nicola Carenza , Giuseppe Gonnella , Antonio Lamura , Giuseppe Negro , Adriano Tiribocchi

We describe a percolation-type approach to modeling of the processes of aging and certain other properties of tissues analyzed as systems consisting of interacting cells. Tissues are considered as structures made of regular healthy,…

Statistical Mechanics · Physics 2016-01-28 Vladimir Privman , Vyacheslav Gorshkov , Sergiy Libert

The reaction-diffusion models have been extensively applied to explain the mechanism of pattern formations in early embryogenesis based on geometrically confined microtissues consisting of human pluripotent stem cells. Recently, mechanical…

Biological Physics · Physics 2022-11-22 Tiankai Zhao , Hongyan Yuan

We investigate morphologies of proliferating cellular tissues using a newly developed numerical simulation model for mechanical cell division and migration in 2D. The model is applied to a bimodal mixture consisting of stiff cells with a…

Soft Condensed Matter · Physics 2021-05-26 Pranav Madhikar , Jan Åström , Björn Baumeier , Mikko Karttunen

In Valence Change Memory (VCM) cells, the conductance of an insulating switching layer is reversibly modulated by creating and redistributing point defects under an external field. Accurate simulations of the switching dynamics of these…

Disordered Systems and Neural Networks · Physics 2023-01-02 Manasa Kaniselvan , Mathieu Luisier , Marko Mladenović

Biological membranes and vesicles play a central role in living systems, forming dynamic interfaces that regulate cellular organization and function. Classical descriptions of membrane mechanics that are rooted in equilibrium statistical…

Soft Condensed Matter · Physics 2026-02-24 Sreekanth Ramesh , Prashant K. Purohit , Yashashree Kulkarni

Collective cell migration is a key driver of embryonic development, wound healing, and some types of cancer invasion. Here we provide a physical perspective of the mechanisms underlying collective cell migration. We begin with a catalogue…

Biological Physics · Physics 2019-10-08 Ricard Alert , Xavier Trepat

Cell migration is frequently modelled using on-lattice agent-based models (ABMs) that employ the excluded volume interaction. However, cells are also capable of exhibiting more complex cell-cell interactions, such as adhesion, repulsion,…

Cell Behavior · Quantitative Biology 2023-07-26 Shahzeb Raja Noureen , Jennifer P. Owen , Richard L. Mort , Christian A. Yates

Abdominal CT data are limited by high annotation costs and privacy constraints, which hinder the development of robust segmentation and diagnostic models. We present a Prior-Integrated Variation Modeling (PIVM) framework, a diffusion-based…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 Dinglun He , Baoming Zhang , Xu Wang , Yao Hao , Deshan Yang , Ye Duan

Understanding active matter has led to new perspectives on biophysics and non-equilibrium dynamics. However, the development of numerical tools for simulating active fluids capable of incorporating non-trivial boundaries or inclusions has…

Soft Condensed Matter · Physics 2024-02-01 Timofey Kozhukhov , Benjamin Loewe , Tyler N. Shendruk

Previous work introduced a lower-dimensional numerical model for the geometric nonlinear simulation and optimization of compliant pressure actuated cellular structures. This model takes into account hinge eccentricities as well as…

Quantitative Methods · Quantitative Biology 2017-07-31 Markus Pagitz , Remco I. Leine

We develop a theoretical approach that uses physiochemical kinetics modelling to describe cell population dynamics upon progression of viral infection in cell culture, which results in cell apoptosis (programmed cell death) and necrosis…

Quantitative Methods · Quantitative Biology 2016-12-30 Sergii Domanskyi , Joshua E. Schilling , Vyacheslav Gorshkov , Sergiy Libert , Vladimir Privman

Recent advances in large generative models have shown that simple autoregressive formulations, when scaled appropriately, can exhibit strong zero-shot generalization across domains. Motivated by this trend, we investigate whether…

Computer Vision and Pattern Recognition · Computer Science 2026-04-27 Yuxiang Lai , Jike Zhong , Ming Li , Yuheng Li , Xiaofeng Yang

The virtual element method (VEM) allows discretization of the problem domain with polygons in 2D. The polygons can have an arbitrary number of sides and can be concave or convex. These features, among others, are attractive for meshing…

Numerical Analysis · Mathematics 2023-10-06 L. L. Yaw

This study investigates the spatial integration of agent-based models (ABMs) and compartmental models for infectious disease modeling, presenting a novel hybrid approach and examining its implications. ABMs offer detailed insights by…

Populations and Evolution · Quantitative Biology 2025-02-06 Inan Bostanci , Tim Conrad

Collocated tactile sensing is a fundamental enabling technology for dexterous manipulation. However, deformable sensors introduce complex dynamics between the robot, grasped object, and environment that must be considered for fine…

Robotics · Computer Science 2022-09-28 Miquel Oller , Mireia Planas , Dmitry Berenson , Nima Fazeli

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

The cell cytoskeleton is a striking example of "active" medium driven out-of-equilibrium by ATP hydrolysis. Such activity has been shown recently to have a spectacular impact on the mechanical and rheological properties of the cellular…

Statistical Mechanics · Physics 2015-05-13 C. Loverdo , O. Benichou , M. Moreau , R. Voituriez

The present paper extends the theory of Adaptive Virtual Element Methods (AVEMs) to the three-dimensional meshes showing the possibility to bound the stabilization term by the residual-type error estimator. This new bound enables a…

Numerical Analysis · Mathematics 2025-03-17 Stefano Berrone , Davide Fassino , Fabio Vicini

We provide a review of recent advancements in nonlocal continuous models for migration, mainly from the perspective of its involvement in embryonal development and cancer invasion. Particular emphasis is placed on spatial nonlocality…

Analysis of PDEs · Mathematics 2019-11-14 Li Chen , Kevin Painter , Christina Surulescu , Anna Zhigun
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