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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 new phase-field model of solidification which allows efficient computations in the regime when interface kinetic effects dominate over capillary effects. The asymptotic analysis required to relate the parameters in the…

Condensed Matter · Physics 2007-05-23 Kalin Vetsigian , Nigel Goldenfeld

Phase interfaces in melting and solidification processes are strongly affected by the presence of convection in the liquid. One way of modeling their transient evolution is to couple an incompressible flow model to an energy balance in…

Fluid Dynamics · Physics 2018-01-11 Alexander G. Zimmerman , Julia Kowalski

Progresses in additive manufacturing technologies allow the realization of finely graded microstructured materials with tunable mechanical properties. This paves the way to a wealth of innovative applications, calling for the combined…

Analysis of PDEs · Mathematics 2023-07-10 Stefano Almi , Ulisse Stefanelli

In numerous solution-processed thin films, a complex morphology resulting from liquid-liquid phase separation (LLPS) or from polycrystallization arises during the drying or subsequent processing steps. The morphology has a strong influence…

Applied Physics · Physics 2022-06-28 Olivier J. J. Ronsin , Jens Harting

We introduce a new phase-field model which allows for simulation of incoherent solid/solid transformations. Contrary to previous models which impose coherency at the interface, the zero shear-stress condition characteristic of incoherent…

Materials Science · Physics 2007-05-23 Jerome Paret

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

Facial 3D Morphable Models are a main computer vision subject with countless applications and have been highly optimized in the last two decades. The tremendous improvements of deep generative networks have created various possibilities for…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 Stathis Galanakis , Baris Gecer , Alexandros Lattas , Stefanos Zafeiriou

Large-scale numerical simulations underpin modern scientific discovery but remain constrained by prohibitive computational costs. AI surrogates offer acceleration, yet adoption in mission-critical settings is limited by concerns over…

Machine Learning · Computer Science 2025-09-30 Dawei Gao , Dali Wang , Zhuowei Gu , Qinglei Cao , Xiao Wang , Peter Thornton , Dan Ricciuto , Yunhe Feng

Engineering simple, artificial models of living cells allows synthetic biologists to study cellular functions under well-controlled conditions. Reconstituting multicellular behaviors with synthetic cell-mimics is still a challenge because…

Biomolecules · Quantitative Biology 2021-04-29 Imre Banlaki , Francois-Xavier Lehr , Henrike Niederholtmeyer

The present endeavor numerically exploits the use of a phase-field model to simulate and investigate fracture patterns, deformation mechanisms, damage, and mechanical responses in a human vertebra after the incision of pedicle screws under…

Computational Engineering, Finance, and Science · Computer Science 2023-06-21 Deison Preve , Pietro Lenarda , Daniele Bianchi , Alessio Gizzi

In the effort to aid cytologic diagnostics by establishing automatic single cell screening using high throughput digital holographic microscopy for clinical studies thousands of images and millions of cells are captured. The bottleneck lies…

Image and Video Processing · Electrical Eng. & Systems 2024-10-28 Julia Sistermanns , Ellen Emken , Gregor Weirich , Oliver Hayden , Wolfgang Utschick

Flow-matching generative models are increasingly used to simulate cell responses to biological perturbations. However, the design space for building such models is large and underexplored. We systematically analyse the design space of flow…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Charles Jones , Emmanuel Noutahi , Jason Hartford , Cian Eastwood

Phase-field models have proven indispensable for deciphering the microstructure complexities inherent in multicomponent systems. The confluence of varying phase molar volumes presents unique challenges. Understanding the impact of molar…

Materials Science · Physics 2025-03-25 Chengyin Wu , Yanzhou Ji

Space-saving design is a requirement that is encountered in biological systems and the development of modern technological devices alike. Many living organisms dynamically pack their polymer chains, filaments or membranes inside of…

Soft Condensed Matter · Physics 2014-07-18 Roman Vetter , Falk K. Wittel , Hans J. Herrmann

We discuss the role coarse-grained models play in the investigation of the structure and thermodynamics of bilayer membranes, and we place them in the context of alternative approaches. Because they reduce the degrees of freedom and employ…

Soft Condensed Matter · Physics 2009-11-11 Marcus Mueller , Kirill Katsov , Michael Schick

We here introduce a novel scheme for generating smoothly-varying infill graded microstructural (IGM) configurations from a given menu of generating cells. The scheme was originally proposed for essentially improving the variety of…

Computational Engineering, Finance, and Science · Computer Science 2020-05-20 Dingchuan Xue , Yichao Zhu , Xu Guo

We present feature finding and tracking algorithms in 3D in living cells, and demonstrate their utility to measure metrics important in cell biological processes. We developed a computational imaging hybrid approach that combines automated…

Biological Physics · Physics 2015-04-06 Kemp Plumb , Sarah Elaz , Vincent Pelletier , Maria L. Kilfoil

We present a MATLAB-based framework for two- and three-dimensional fast Fourier transforms on multiple GPUs for large-scale numerical simulations using the pseudo-spectral Fourier method. The software implements two complementary multi-GPU…

Mathematical Software · Computer Science 2026-03-31 Maik Punke , Marco Salvalaglio

This contribution presents a diffuse framework for modeling cracks in heterogeneous media. Interfaces are depicted by static phase-fields. This concept allows the use of non-conforming meshes. Another phase-field is used to describe the…

Materials Science · Physics 2020-05-11 Arne Claus Hansen-Dörr , Franz Dammaß , René de Borst , Markus Kästner