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Since its introduction in 1952, Turing's (pre-)pattern theory ("the chemical basis of morphogenesis") has been widely applied to a number of areas in developmental biology. The related pattern formation models normally comprise a system of…

Cell Behavior · Quantitative Biology 2020-10-28 Fiona R Macfarlane , Mark AJ Chaplain , Tommaso Lorenzi

Compared with traditional design methods, generative design significantly attracts engineers in various disciplines. In thiswork, howto achieve the real-time generative design of optimized structures with various diversities and…

Computational Engineering, Finance, and Science · Computer Science 2024-01-23 Zongliang Du , Xinyu Ma , Wenyu Hao , Yuan Liang , Xiaoyu Zhang , Hongzhi Luo , Xu Guo

Convergent extension of epithelial tissue is a key motif of animal morphogenesis. On a coarse scale, cell motion resembles laminar fluid flow; yet in contrast to a fluid, epithelial cells adhere to each other and maintain the tissue layer…

Biological Physics · Physics 2024-10-04 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

Traditional robotic mechanisms contain a series of rigid links connected by rotational joints that provide powered motion, all of which is controlled by a central processor. By contrast, analogous mechanisms found in nature, such as octopus…

Computational Engineering, Finance, and Science · Computer Science 2023-11-06 Anurag Bhattacharyya , Jin-Young Kim , Lee R. Alacoque , Kai A. James

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

Metamaterials exhibit materials response deviation from conventional elasticity. This phenomenon is captured by the generalized elasticity as a result of extending the theory at the expense of introducing additional parameters. These…

Computational Engineering, Finance, and Science · Computer Science 2021-06-10 Bilen Emek Abali , Emilio Barchiesi

In this paper, we study the anisotropy classes of the fourth order elastic tensors of the relaxed micromorphic model, also introducing their second order counterpart by using a Voigt-type vector notation. In strong contrast with the usual…

Architectural transformations play a key role in the evolution of complex systems, from design algorithms for metamaterials to flow and plasticity of disordered media. Here, we develop a general framework for the evolution of the linear…

Soft Condensed Matter · Physics 2020-02-20 Anne S. Meeussen , Erdal C. Oguz , Martin van Hecke , Yair Shokef

The complexity of condensed matter arises from emergent behaviors that cannot be understood by analyzing individual constituents in isolation. While traditional condensed-matter approaches-developed primarily for ideal crystalline…

Materials Science · Physics 2025-09-30 Elisabetta Nocerino

Organogenesis involves large deformations and complex shape changes that require elaborate mechanical regulation. Models of tissue biomechanics have been introduced to account for the coupling between mechanical response and biochemical…

Soft Condensed Matter · Physics 2025-04-16 Patrick W. Alford , Luiza Angheluta , Jorge Vinals

In this paper the relaxed micromorphic material model for anisotropic elasticity is used to describe the dynamical behavior of a band-gap metamaterial with tetragonal symmetry. Unlike other continuum models (Cauchy, Cosserat, second…

The architecture of mechanical metamaterialsis designed to harness geometry, non-linearity and topology to obtain advanced functionalities such as shape morphing, programmability and one-way propagation. While a purely geometric framework…

Soft Condensed Matter · Physics 2018-02-14 Corentin Coulais , Chris Kettenis , Martin van Hecke

The adaptive and surprising emergent properties of biological materials self-assembled in far-from-equilibrium environments serve as an inspiration for efforts to design nanomaterials and their properties. In particular, controlling the…

Statistical Mechanics · Physics 2023-07-07 Shriram Chennakesavalu , Sreekanth K. Manikandan , Frank Hu , Grant M. Rotskoff

The inverse design of microstructures plays a pivotal role in optimizing metamaterials with specific, targeted physical properties. While traditional forward design methods are constrained by their inability to explore the vast…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Tianyang Xue , Haochen Li , Longdu Liu , Paul Henderson , Pengbin Tang , Lin Lu , Jikai Liu , Haisen Zhao , Hao Peng , Bernd Bickel

Recently, 3D generative models have shown promising performances in structure-based drug design by learning to generate ligands given target binding sites. However, only modeling the target-ligand distribution can hardly fulfill one of the…

Biomolecules · Quantitative Biology 2024-03-22 Xiangxin Zhou , Xiwei Cheng , Yuwei Yang , Yu Bao , Liang Wang , Quanquan Gu

In the development of active animate materials, electromechanical coupling is highly attractive to realize mechanoresponsive functionality. Piezoelectricity is the most utilized electromechanical phenomenon due to the wide availability of…

A topology optimization method is presented for the design of periodic microstructured materials with prescribed homogenized nonlinear constitutive properties over finite strain ranges. The mechanical model assumes linear elastic isotropic…

Computational Engineering, Finance, and Science · Computer Science 2020-05-20 Reza Behrou , Maroun Abi Ghanem , Brianna C. Macnider , Vimarsh Verma , Ryan Alvey , Jinho Hong , Ashley F. Emery , Hyunsun Alicia Kim , Nicholas Boechler

In contrast to conservative systems, in nonlinear media with gain and loss the dynamics of localized topological structures can exhibit unique features that can be controlled externally. We propose a robust mechanism to perform topological…

Pattern Formation and Solitons · Physics 2019-12-11 B. A. Kochetov , O. G. Chelpanova , V. R. Tuz , A. I. Yakimenko

The understanding of morphogenesis in living organisms has been renewed by tremendous progressin experimental techniques that provide access to cell-scale, quantitative information both on theshapes of cells within tissues and on the genes…

Biological Physics · Physics 2015-09-30 Sham Tlili , Cyprien Gay , Francois Graner , Philippe Marcq , François Molino , Pierre Saramito

The inverse design of metasurfaces faces inherent challenges due to the nonlinear and highly complex relationship between geometric configurations and their electromagnetic behavior. Traditional optimization approaches often suffer from…