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Cellular self-assembly and organization are fundamental steps for the development of biological tissues. In this paper, within the framework of a cellular automata model, we address how an ordered tissue pattern spontaneously emerges from a…

生物物理 · 物理学 2019-10-24 Debangana Mukhopadhyay , Rumi De

For the first time the phenomenon of cellular structure coarsening are consistently analysed from the positions of kinetic, hydrodynamic and stochastodynamic theories of nonequilibrium statistical systems. Thereby micro-, meso- and…

凝聚态物理 · 物理学 2015-06-25 S. B. Goryachev

Stochastic geometry provides a powerful framework for modelling complex random structures, with applications in physics, materials science, biology, and other fields. The three-dimensional microstructure of polycrystalline materials is…

数学物理 · 物理学 2025-07-22 Oleksandr Kornijčuk , Luděk Heller , Zbyněk Pawlas , Viktor Beneš

A discrete tensegrity framework can be thought of as a graph in Euclidean n-space where each edge is of one of three types: an edge with a fixed length (bar) or an edge with an upper (cable) or lower (strut) bound on its length. Roth and…

度量几何 · 数学 2009-09-29 Ted Ashton

We present a general, constructive procedure to find the basis for tensors of arbitrary order subject to linear constraints by transforming the problem to that of finding the nullspace of a linear operator. The proposed method utilizes…

数学物理 · 物理学 2025-07-15 Ravi G. Patel , Reese E. Jones , D. Thomas Seidl , Brian N. Granzow , Jan N. Fuhg

We introduce a computational framework for the topology optimization of cellular structures with spatially varying architecture, which is applied to functionally graded truss lattices under quasistatic loading. We make use of a first-order…

其他凝聚态物理 · 物理学 2022-05-31 Bastian Telgen , Ole Sigmund , Dennis M. Kochmann

Tensegrity mechanisms have several interesting properties that make them suitable for a number of applications. Their analysis is generally challenging because the static equilibrium conditions often result in complex equations. A class of…

机器人学 · 计算机科学 2017-05-24 P Wenger , Damien Chablat

Stress tensors are derived for the multiparticle collision dynamics algorithm, a particle-based mesoscale simulation method for fluctuating fluids, resembling those of atomistic or molecular systems. Systems with periodic boundary…

软凝聚态物质 · 物理学 2009-11-13 Roland G. Winkler , Chien-Cheng Huang

We investigate a continuum mechanical model for an adherent cell on two dimensional adhesive micropatterned substrates. The cell is modeled as an isotropic and homogeneous elastic material subject to uniform internal contractile stresses.…

生物物理 · 物理学 2013-12-30 Shiladitya Banerjee , Rastko Sknepnek , M. Cristina Marchetti

Disordered hyperuniform dispersions are exotic amorphous two-phase materials characterized by an anomalous suppression of long-wavelength volume-fraction fluctuations, endowing them with novel physical properties. While such unusual…

软凝聚态物质 · 物理学 2019-03-12 Jaeuk Kim , Salvatore Torquato

We apply a recently developed model of cytoskeletal force generation to study a cell intrinsic contractility, as well as its response to external loading. The model is based on a non-equilibrium thermodynamic treatment of the…

亚细胞过程 · 定量生物学 2015-06-19 Mirko Maraldi , Clara Valero , Krishna Garikipati

The quest for wave channeling and manipulation has driven a strong research effort on topological and architected materials, capable of propagating localized electromagnetical or mechanical signals. With reference to an elastic structural…

经典物理 · 物理学 2019-02-20 G. Bordiga , L. Cabras , A. Piccolroaz , D. Bigoni

For natural frequency optimization of engineering structures, cellular composites have been shown to possess an edge over solid. However, existing multiscale design methods for cellular composites are either computationally exhaustive or…

计算工程、金融与科学 · 计算机科学 2021-06-14 Liwei Wang , Anton van Beek , Daicong Da , Yu-Chin Chan , Ping Zhu , Wei Chen

We review the mathematical formalism underlying the modelling of stochasticity in biological systems. Beginning with a description of the system in terms of its basic constituents, we derive the mesoscopic equations governing the dynamics…

种群与进化 · 定量生物学 2012-11-05 Alan J. McKane , Tommaso Biancalani , Tim Rogers

The complexity of the cells can be described and understood by a number of networks such as protein-protein interaction, cytoskeletal, organelle, signalling, gene transcription and metabolic networks. All these networks are highly dynamic…

分子网络 · 定量生物学 2007-07-26 Mate S. Szalay , Istvan A. Kovacs , Tamas Korcsmaros , Csaba Bode , Peter Csermely

Jammed packings of granular materials display complex mechanical response. For example, the ensemble-averaged shear modulus $\left\langle G \right\rangle$ increases as a power-law in pressure $p$ for static packings of soft spherical…

Complex systems are usually represented as an intricate set of relations between their components forming a complex graph or network. The understanding of their functioning and emergent properties are strongly related to their structural…

数据分析、统计与概率 · 物理学 2014-01-08 Sergio Gomez , Alberto Fernandez , Clara Granell , Alex Arenas

An investigation on the additive manufacturing and the experimental testing of 3D models of tensegrity prisms and columns is presented. An electron beam melting facility (Arcam EBM S12) is employed to 3D print structures composed of…

材料科学 · 物理学 2015-04-07 A. Amendola , E. Hernandez-Nava , R. Goodall , I. Todd , R. E. Skelton , F. Fraternali

Understanding how living organisms spontaneously develop complex functional structures inspires innovative approaches in engineering design. Here, we introduce a decentralized generative model based on morphogenesis to autonomously grow…

应用物理 · 物理学 2025-09-15 Thomas Fromentèze , Philippe Michaud , Ali Hassny , Vincent Pateloup

We study the solution of the system of equations describing the dynamical evolution of spontaneous ruptures generated in a prestressed elastic-gravitational deforming body and governed by rate and state friction laws. We propose an…

计算物理 · 物理学 2019-08-26 Maarten V. de Hoop , Kundan Kumar , Ruichao Ye