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The experimental actualisation of organoids modelling organs from brains to pancreases has revealed that much of the diverse morphologies of organs are emergent properties of simple intercellular "rules" and not the result of top-down…

Tissues and Organs · Quantitative Biology 2019-10-07 Julius B. Kirkegaard , Bjarke F. Nielsen , Ala Trusina , Kim Sneppen

The task of learning patterns is typically associated with systems that update parameters on fixed architectures, such as neural networks, where learning proceeds through continuous optimization. Here, we demonstrate that pattern learning…

Disordered Systems and Neural Networks · Physics 2026-04-29 Shabeeb Ameen , Tao Zhang , J. M. Schwarz

Materials with J-shaped stress-strain behavior under uniaxial stretching, where strength increases as deformation progresses, have been developed through various materials designs. On the other hand, polymer materials that progressively…

Soft Condensed Matter · Physics 2024-11-08 Rikima Kuwada , Shuto Ito , Yuta Shimoda , Haruka Fukunishi , Ryota Onishi , Daisuke Ishii , Mikihiro Hayashi

Inspired by the quest for shape-shifting structures in a range of applications, we show how to create morphable structural materials using a neutrally stable unit cell as a building block. This unit cell is a self-stressed hinged structure…

Soft Condensed Matter · Physics 2021-10-18 Gaurav Chaudhary , S Ganga Prasath , Edward Soucy , L Mahadevan

States of self-stress, tensions and compressions of structural elements that result in zero net forces, play an important role in determining the load-bearing ability of structures ranging from bridges to metamaterials with tunable…

Soft Condensed Matter · Physics 2015-08-06 Jayson Paulose , Anne S. Meeussen , Vincenzo Vitelli

As hydrodynamic simulations increase in scale and resolution, identifying structures with non-trivial geometries or regions of general interest becomes increasingly challenging. There is a growing need for algorithms that identify a variety…

Instrumentation and Methods for Astrophysics · Physics 2016-02-17 Duncan Forgan , Ian Bonnell , William Lucas , Ken Rice

Biologically inspired pressure actuated cellular structures can alter their shape through pressure variations. Previous work introduced a computational framework for pressure actuated cellular structures which was limited to two cell rows…

Quantitative Methods · Quantitative Biology 2017-04-10 Markus Pagitz , Remco I. Leine

Many mechanical structures, both engineered and biological, combine heavy rigid elements such as bones and beams with lightweight flexible ones such as cables and membranes. These are referred to as tensegrities, reflecting that cables can…

Soft Condensed Matter · Physics 2025-08-27 Vishal Sudhakar , William Stephenson , James P. McInerney , D. Zeb Rocklin

During quasi-static dynamics of granular systems, the stress and structure self-organise, but there is currently no quantitative measure or understanding of this phenomenon. Such an understanding is essential because local structural…

Soft Condensed Matter · Physics 2024-10-29 Xiaoyu Jiang , Raphael Blumenfeld , Takashi Matsushima

Stress transmission in planar open-cell cellular solids is analysed using a recent theory developed for marginally rigid granular assemblies. This is made possible by constructing a one-to-one mapping between the two systems. General…

Materials Science · Physics 2009-11-07 Raphael Blumenfeld

This paper presents the equilibrium and stiffness study of clustered tensegrity structures (CTS) considering pulley sizes. We first derive the geometric relationship between clustered strings and pulleys, where the nodal vector is chosen as…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Shuo Ma , Yiqian Chen , Muhao Chen , Robert E. Skelton

To understand cell migration, it is crucial to gain knowledge on how cells exert and integrate forces on/from their environment. A quantity of prime interest for biophysicists interested in cell movements modeling is the intracellular…

Cell Behavior · Quantitative Biology 2022-09-14 Hélène Delanoë-Ayari , Alice Nicolas

The present paper is concerned with the formulation of new assembly methods of bi-material tensegrity prisms, and the experimental characterization of the compressive response of such structures. The presented assembly techniques are easy…

One of the essential questions in the area of granular matter is, how to obtain macroscopic tensorial quantities like stress and strain from ``microscopic'' quantities like the contact forces in a granular assembly. Different averaging…

Statistical Mechanics · Physics 2007-05-23 Marc Lätzel , Stefan Luding , Hans J. Herrmann

A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell.…

Biological Physics · Physics 2015-05-30 Makiko Nonomura

Previous work introduced a lower-dimensional numerical model for the geometric nonlinear simulation and optimization of compliant pressure actuated cellular structures. This model takes into account hinge eccentricities as well as…

Quantitative Methods · Quantitative Biology 2017-07-31 Markus Pagitz , Remco I. Leine

Consider a graph G with n vertices. In this paper we study geometric conditions for an n-tuple of points in R^d to admit a tensegrity with underlying graph G. We introduce and investigate a natural stratification, depending on G, of the…

Combinatorics · Mathematics 2008-07-01 Franck Doray , Oleg Karpenkov , Jan Schepers

Open cellular solids usually possess random microstructures that may contain a characteristic length scale, such as the cell size. This gives rise to size dependent mechanical properties where large systems behave differently from small…

Materials Science · Physics 2018-01-03 Stefan Liebenstein , Stefan Sandfeld , Michael Zaiser

Cell layers eliminate unwanted cells through the extrusion process, which underlines healthy versus flawed tissue behaviors. Although several biochemical pathways have been identified, the underlying mechanical basis including the forces…

Soft Condensed Matter · Physics 2023-04-20 Siavash Monfared , Guruswami Ravichandran , Jose E. Andrade , Amin Doostmohammadi

We present a continuum model of the coupling between cells and substrate that accounts for some of the observed substrate-stiffness dependence of cell properties. The cell is modeled as an elastic active gel, adapting recently developed…

Cell Behavior · Quantitative Biology 2015-05-28 Shiladitya Banerjee , M. Cristina Marchetti