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We present a data-driven framework for the multiscale modeling of anisotropic finite strain elasticity based on physics-augmented neural networks (PANNs). Our approach allows the efficient simulation of materials with complex underlying…

Computational Engineering, Finance, and Science · Computer Science 2024-10-07 Karl A. Kalina , Jörg Brummund , WaiChing Sun , Markus Kästner

We investigate morphologies of proliferating cellular tissue using a newly developed numerical simulation model for mechanical cell division. The model reproduces structures of simple multi-cellular organisms via simple rules for selective…

Soft Condensed Matter · Physics 2018-11-20 Pranav Madhikar , Jan Åström , Björn Baumeier , Mikko Karttunen

We describe a computational model for studying the complexity of self-assembled structures with active molecular components. Our model captures notions of growth and movement ubiquitous in biological systems. The model is inspired by…

Data Structures and Algorithms · Computer Science 2013-01-15 Damien Woods , Ho-Lin Chen , Scott Goodfriend , Nadine Dabby , Erik Winfree , Peng Yin

Spatial self-organization emerges in distributed systems exhibiting local interactions when nonlinearities and the appropriate propagation of signals are at work. These kinds of phenomena can be modeled with different frameworks, typically…

Cell Behavior · Quantitative Biology 2016-11-23 Adriano Bonforti , Salva Duran-Nebreda , Raul Montañez , Ricard Solé

The mechanics of granular media at low liquid saturation levels remain poorly understood. Macroscopic mechanical properties are affected by microscale forces and processes, such as capillary forces, inter-particle friction, liquid flows,…

Soft Condensed Matter · Physics 2017-09-04 Filippo Bianchi , Marcel Thielmann , Roman Mani , Dani Or , Hans Juergen Herrmann

Traditional top-down robotic design often lacks the adaptability needed to handle real-world complexities, prompting the need for more flexible approaches. Therefore, this study introduces a novel cellular plasticity model tailored for…

Robotics · Computer Science 2024-08-13 Trevor R. Smith , Thomas J. Smith , Nicholas S. Szczecinski , Sergiy Yakovenko , Yu Gu

For long it has been known that specific patterns of folding are necessary for an optimally functioning brain. For instance, lissencephaly and polymicrogyria can lead to severe mental retardation, short life expectancy, epileptic seizures,…

Biological Physics · Physics 2020-04-03 Lucas da Costa Campos , Raphael Hornung , Gerhard Gompper , Jens Elgeti , Svenja Caspers

In many tissues, cell type varies over single-cell length-scales, creating detailed spatial heterogeneities fundamental to physiological function. To gain understanding of this relationship between tissue function and detailed structure,…

This paper presents a method for the optimization of multi-component structures comprised of two and three materials considering large motion sliding contact and separation along interfaces. The structural geometry is defined by an explicit…

Optimization and Control · Mathematics 2017-01-24 Matthew Lawry , Kurt Maute

Stochastic agent-based models can account for millions of cells with spatiotemporal movement that can be a function of different factors. However, these simulations can be computationally expensive. In this work, we develop a novel…

Numerical Analysis · Mathematics 2019-09-11 Michael A. Yereniuk , Sarah D. Olson

When it is polarised, a cell develops an asymmetric distribution of specific molecular markers, cytoskeleton and cell membrane shape. Polarisation can occur spontaneously or be triggered by external signals, like gradients of signalling…

Analysis of PDEs · Mathematics 2013-01-18 Vincent Calvez , Nicolas Meunier , Nicolas Muller , Raphael Voituriez

The structure of random sphere packings in mechanical equilibrium in prescribed stress states, as studied by molecular dynamics simulations, strongly depends on the assembling procedure. Frictionless packings in the limit of low pressure…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jean-Noel Roux

A growing body of research indicates that structural plasticity mechanisms are crucial for learning and memory consolidation. Starting from a simple phenomenological model, we exploit a mean-field approach to develop a theoretical framework…

Neurons and Cognition · Quantitative Biology 2024-06-19 Gianmarco Tiddia , Luca Sergi , Bruno Golosio

This work deals with the generation of theoretical correlation matrices with specific sparsity patterns, associated to graph structures. We present a novel approach based on convex optimization, offering greater flexibility compared to…

Signal Processing · Electrical Eng. & Systems 2025-02-26 Ali Fakhar , Kévin Polisano , Irène Gannaz , Sophie Achard

Variable-density cellular structures can overcome connectivity and manufacturability issues of topologically optimized structures, particularly those represented as discrete density maps. However, the optimization of such cellular…

Computational Engineering, Finance, and Science · Computer Science 2022-06-08 Jun Wang , Wei Wayne Chen , Daicong Da , Mark Fuge , Rahul Rai

The shapes of cell membranes are largely regulated by membrane associated, curvature active, proteins. We use a numerical model of the membrane with elongated membrane inclusions, recently developed by us, which posses spontaneous…

Biological Physics · Physics 2013-02-08 N. Ramakrishnan , P. B. Sunil Kumar , John H. Ipsen

Experimental studies of cell motility in culture have shown that under adequate conditions these living organisms possess the ability to organize themselves into complex structures. Such structures may exhibit a synergy that greatly…

Statistical Mechanics · Physics 2021-10-27 G. Nakamura , M. Badoual , E. Fabiani , C. Deroulers

Tensor methods have become a promising tool to solve high-dimensional problems in the big data era. By exploiting possible low-rank tensor factorization, many high-dimensional model-based or data-driven problems can be solved to facilitate…

Optimization and Control · Mathematics 2019-08-22 Chunfeng Cui , Cole Hawkins , Zheng Zhang

We study the dynamics of proliferating cell collectives whose microscopic constituents' growth is inhibited by macroscopic growth-induced stress. Discrete particle simulations of a growing collective show the emergence of concentric-ring…

Biological Physics · Physics 2024-05-17 Scott Weady , Bryce Palmer , Adam Lamson , Taeyoon Kim , Reza Farhadifar , Michael J. Shelley

An analytical model based on variational principles for a thin-walled stiffened plate subjected to axial compression is presented. A system of nonlinear differential and integral equations is derived and solved using numerical continuation.…

Materials Science · Physics 2014-06-10 M. Ahmer Wadee , Maryam Farsi