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We present and analyse a model for cell signalling processes in biological tissues. The model includes diffusion and nonlinear reactions on the cell surfaces, and both inter- and intracellular signalling. Using techniques from the theory of…

Analysis of PDEs · Mathematics 2020-03-12 Mariya Ptashnyk , Chandrasekhar Venkataraman

Unregistered surface meshes, especially raw 3D scans, present significant challenges for automatic computation of plausible deformations due to the lack of established point-wise correspondences and the presence of noise in the data. In…

Graphics · Computer Science 2025-09-01 Thomas Besnier , Sylvain Arguillère , Mohamed Daoudi

Neural implicit surface representations have recently emerged as popular alternative to explicit 3D object encodings, such as polygonal meshes, tabulated points, or voxels. While significant work has improved the geometric fidelity of these…

Graphics · Computer Science 2023-06-27 Yanran Guan , Andrei Chubarau , Ruby Rao , Derek Nowrouzezahrai

Numerical investigation of the interaction of electromagnetic fields with eukaryotic cells requires specifically adapted computer models. Virtual microdosimetry, used to investigate exposure, requires volumetric cell models, which are…

Cell nuclei segmentation is one of the most important tasks in the analysis of biomedical images. With ever-growing sizes and amounts of three-dimensional images to be processed, there is a need for better and faster segmentation methods.…

Computer Vision and Pattern Recognition · Computer Science 2017-02-20 Julian Arz , Peter Sanders , Johannes Stegmaier , Ralf Mikut

We present a novel method, called NeuralUDF, for reconstructing surfaces with arbitrary topologies from 2D images via volume rendering. Recent advances in neural rendering based reconstruction have achieved compelling results. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Xiaoxiao Long , Cheng Lin , Lingjie Liu , Yuan Liu , Peng Wang , Christian Theobalt , Taku Komura , Wenping Wang

3D Geometric Graph Neural Networks (GNNs) have emerged as transformative tools for modeling molecular data. Despite their predictive power, these models often suffer from limited interpretability, raising concerns for scientific…

Machine Learning · Computer Science 2025-05-06 Jingxiang Qu , Wenhan Gao , Jiaxing Zhang , Xufeng Liu , Hua Wei , Haibin Ling , Yi Liu

We introduce a novel learning-based method for encoding and manipulating 3D surface meshes. Our method is specifically designed to create an interpretable embedding space for deformable shape collections. Unlike previous 3D mesh…

Computer Vision and Pattern Recognition · Computer Science 2023-10-30 Sara Hahner , Souhaib Attaiki , Jochen Garcke , Maks Ovsjanikov

Dynamic MRI may capture temporal anatomical changes in soft tissue organs with high contrast but the obtained sequences usually suffer from limited volume coverage which makes the high resolution reconstruction of organ shape trajectories a…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Karim Makki , Amine Bohi , Augustin . C Ogier , Marc Emmanuel Bellemare

Interfacial reconstruction between two-dimensional (2D) materials and metal substrates fundamentally governs heterostructure properties, yet conventional flat substrates fail to capture the continuous crystallographic landscape. Here, we…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Li-Qun Shen , Hao-Jin Wang , Mengzhao Sun , Yang Xiang , Xin-Ning Tian , Yue Chai , Yue Yang , Feng Ding , Xiao Kong , Marc-Georg Willinger , Zhu-Jun Wang

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

Real-world objects and environments are predominantly composed of edge features, including straight lines and curves. Such edges are crucial elements for various applications, such as CAD modeling, surface meshing, lane mapping, etc.…

Computer Vision and Pattern Recognition · Computer Science 2024-05-30 Lei Li , Songyou Peng , Zehao Yu , Shaohui Liu , Rémi Pautrat , Xiaochuan Yin , Marc Pollefeys

Biomembranes adopt varying morphologies that are vital to cellular functions. Many studies use computational modeling to understand how various mechanochemical factors contribute to membrane shape transformations. Compared to…

Computational Engineering, Finance, and Science · Computer Science 2022-02-23 Cuncheng Zhu , Christopher T. Lee , Padmini Rangamani

We suggest a 3D phase field model to describe 3D cell spreading on a flat substrate. The model is a simplified version of a minimal model that was developed in [1]. Our model couples the order parameter $u$ with 3D polarization…

Biological Physics · Physics 2021-06-25 Mohammad Abu Hamed , Alexander A. Nepomnyashchy

Diffusion models are important in tissue engineering as they enable an understanding of molecular delivery to cells in tissue constructs. As three-dimensional (3D) tissue constructs become larger, more intricate, and more clinically…

Tissues and Organs · Quantitative Biology 2015-12-22 Richard J. McMurtrey

Neural implicit representations have become a popular choice for modeling surfaces due to their adaptability in resolution and support for complex topology. While previous works have achieved impressive reconstruction quality by training on…

Computer Vision and Pattern Recognition · Computer Science 2024-08-12 Lu Sang , Abhishek Saroha , Maolin Gao , Daniel Cremers

Computational models have become an essential part of exploratory protocols in cell biology, as a complement to in vivo or in vitro experiments. These virtual models have the twofold advantage of enabling access to new types of data and…

Medical Physics · Physics 2021-12-20 Maxime Vassaux , Laurent Pieuchot , Karine Anselme , Maxence Bigerelle , Jean-Louis Milan

The biological membrane, which compartmentalizes the cell and its organelles, exhibit wide variety of macroscopic shapes of varying morphology and topology. A systematic understanding of the relation of membrane shapes to composition,…

Biological Physics · Physics 2011-09-23 N. Ramakrishnan , P. B. Sunil Kumar , John H. Ipsen

Since its foundations, more than one hundred years ago, the field of structural biology has strived to understand and analyze the properties of molecules and their interactions by studying the structure that they take in 3D space. However,…

Biomolecules · Quantitative Biology 2023-02-27 Gabriele Corso

Scaling up representations for images or text has been extensively investigated in the past few years and has led to revolutions in learning vision and language. However, scalable representation for 3D objects and scenes is relatively…

Computer Vision and Pattern Recognition · Computer Science 2023-10-11 Junsheng Zhou , Jinsheng Wang , Baorui Ma , Yu-Shen Liu , Tiejun Huang , Xinlong Wang