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In this contribution we investigate in mathematical modeling and efficient simulation of biological cells with a particular emphasis on effective modeling of structural properties that originate from active forces generated from…

Numerical Analysis · Mathematics 2021-11-02 Tobias Leibner , Maja Matis , Mario Ohlberger , Stephan Rave

The migratory dynamics of cells can be influenced by the complex micro-environment through which they move. It remains unclear how the motility machinery of confined cells responds and adapts to their micro-environment. Here, we propose a…

Biological Physics · Physics 2023-12-04 Johannes Flommersfeld , Stefan Stöberl , Omar Shah , Joachim O. Rädler , Chase P. Broedersz

Cells exhibit a wide variety of different shapes. This diversity poses a challenge for computational approaches that attempt to shed light on the role cell geometry plays in regulating cell physiology and behavior. The simulation platform…

Quantitative Methods · Quantitative Biology 2020-03-31 Thorsten Prüstel , Martin Meier-Schellersheim

We present a topology grounded, multiscale simulation platform for morphogenesis and biological active matter. Morphogenesis and biological active matter represent keystone problems in biology with additional, far-reaching implications…

Many living and physical systems such as cell aggregates, tissues or bacterial colonies behave as unconventional systems of particles that are strongly constrained by volume exclusion and shape interactions. Understanding how these…

Quantitative Methods · Quantitative Biology 2026-05-20 Antoine Diez , Jean Feydy

This letter is concerned with asymptotic analysis of a PDE model for motility of a eukaryotic cell on a substrate. This model was introduced in [1], where it was shown numerically that it successfully reproduces experimentally observed…

Analysis of PDEs · Mathematics 2016-04-12 Leonid Berlyand , Mykhailo Potomkin , Volodymyr Rybalko

Identifying accurate dynamic models is required for the simulation and control of various technical systems. In many important real-world applications, however, the two main modeling approaches often fail to meet requirements: first…

Machine Learning · Computer Science 2021-04-19 Manuel A. Roehrl , Thomas A. Runkler , Veronika Brandtstetter , Michel Tokic , Stefan Obermayer

Morphogenesis involves the transformation of initially simple shapes, such as multicellular spheroids, into more complex $3D$ shapes. These shape changes are governed by mechanical forces including molecular motor-generated forces as well…

Soft Condensed Matter · Physics 2023-10-13 Ajoy Maji , Kinjal Dasbiswas , Yitzhak Rabin

We describe a framework that can integrate prior physical information, e.g., the presence of kinematic constraints, to support data-driven simulation in multi-body dynamics. Unlike other approaches, e.g., Fully-connected Neural Network…

Computational Engineering, Finance, and Science · Computer Science 2024-07-12 Jingquan Wang , Shu Wang , Huzaifa Mustafa Unjhawala , Jinlong Wu , Dan Negrut

Migration of cells can be characterized by two, prototypical types of motion: individual and collective migration. We propose a statistical-inference approach designed to detect the presence of cell-cell interactions that give rise to…

Cell Behavior · Quantitative Biology 2020-03-13 Elena Agliari , Pablo J. Sáez , Adriano Barra , Matthieu Piel , Pablo Vargas , Michele Castellana

The process of morphogenesis, which can be defined as an evolution of the form of an organism, is one of the most intriguing mysteries in the life sciences. It is clear, that gene expression patterns cannot explain the development of the…

Other Quantitative Biology · Quantitative Biology 2013-07-23 Nadya Morozova , Mikhail Shubin

Cell spreading requires a major reorganisation of the actin cytoskeleton, from a cortical structure to a lamellipodium where filaments are mostly parallel to the substrate. We propose a model inspired by the physics of nematic liquid…

Biological Physics · Physics 2019-06-07 Mathieu Dedenon , Pierre Sens

From the Golgi apparatus to endosomes, organelles in the endomembrane system exhibit complex and varied morphologies that are often related to their function. Such membrane-bound organelles operate far from equilibrium due to directed…

Soft Condensed Matter · Physics 2024-11-27 S. Alex Rautu , Richard G. Morris , Madan Rao

Left-right axis specification establishes embryonic laterality through asymmetric signaling cascades originating at the cellular scale. We previously reported the presence of a directionality bias in confined pairs of endothelial (and…

Cell Behavior · Quantitative Biology 2026-03-31 Egun Im , Ghina Badih , Laetitia Kurzawa , Andreas Buttenschön , Calina Copos

A critical step in tissue engineering is the design and synthesis of 3D biocompatible matrices (scaffolds) to support and guide the proliferation of cells and tissue growth. Most existing techniques rely on the processing of scaffolds under…

Soft Condensed Matter · Physics 2020-06-16 C. S. Dias , C. A. Custodio , G. C. Antunes , M. M. Telo da Gama , J. F. Mano , N. A. M. Araujo

A mesoscopic coarse-grain model for computationally-efficient simulations of biomembranes is presented. It combines molecular dynamics simulations for the lipids, modeled as elastic chains of beads, with multiparticle collision dynamics for…

Soft Condensed Matter · Physics 2015-06-04 Mu-Jie Huang , Raymond Kapral , Alexander S. Mikhailov , Hsuan-Yi Chen

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…

Tissues and Organs · Quantitative Biology 2023-03-08 Nen Saito , Shuji Ishihara

The process of morphogenesis is an evolution of the shape of an organism together with the differentiation of its parts. This process encompasses numerous biological processes ranging from embryogenesis to regeneration following crisis such…

Other Quantitative Biology · Quantitative Biology 2019-09-23 N. Bessonov , O. Butuzova , A. Minarsky , R. Penner , C. Soule , A. Tosenberger , N. Morozova

Cellular self-assembly and organization are fundamental steps for the development of biological tissues. In this paper, within the framework of a cellular automata model, we address how an ordered tissue pattern spontaneously emerges from a…

Biological Physics · Physics 2019-10-24 Debangana Mukhopadhyay , Rumi De

Understanding how cells respond to external stimuli is a central challenge in biomedical research and drug development. Current computational frameworks for modelling cellular responses remain restricted to two-dimensional representations,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Reed Naidoo , Matt De Vries , Olga Fourkioti , Vicky Bousgouni , Mar Arias-Garcia , Maria Portillo-Malumbres , Chris Bakal