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Highly-optimized complex transport networks serve crucial functions in many man-made and natural systems such as power grids and plant or animal vasculature. Often, the relevant optimization functional is non-convex and characterized by…

Biological Physics · Physics 2016-09-23 Henrik Ronellenfitsch , Eleni Katifori

Filamentous bio-materials such as fibrin or collagen networks exhibit an enormous stiffening of their elastic moduli upon large deformations. This pronounced nonlinear behavior stems from a significant separation between the stiffnesses…

Soft Condensed Matter · Physics 2019-05-21 Robbie Rens , Carlos Villarroel , Gustavo Düring , Edan Lerner

During animal development and homeostasis, the structure of tissues, including muscles, blood vessels and connective tissues adapts to mechanical strains in the extracellular matrix (ECM). These strains originate from the differential…

Cell Behavior · Quantitative Biology 2017-03-06 Elisabeth G. Rens , Roeland M. H. Merks

Networks of elastic beams can deform either by stretching or bending of their members. The primary mode of deformation (bending or stretching) crucially depends on the specific details of the network architecture. In order to shed light on…

Soft Condensed Matter · Physics 2016-09-23 Gérald Gurtner , Marc Durand

Scaling properties of patterns formed by large contact forces are studied as a function of the applied shear stress, in two-dimensional static packings generated from the force network ensemble. An anisotropic finite-size-scaling analysis…

Soft Condensed Matter · Physics 2007-05-23 Srdjan Ostojic , Thijs J. H. Vlugt , Bernard Nienhuis

Strain stiffening of protein networks is explored by means of a finite strain analysis of a two-dimensional network model of cross-linked semiflexible filaments. The results show that stiffening is caused by non-affine network…

Soft Condensed Matter · Physics 2009-11-11 P. R. Onck , T. Koeman , T. Van Dillen , E. Van der Giessen

Active networks composed of biopolymers and motor proteins provide versatile biomimetic systems that have advanced active matter physics and deepened our understanding of cytoskeletal dynamics and self-organization under diverse stimuli. In…

We use optical tweezers microrheology and fluorescence microscopy to apply nonlinear microscale strains to entangled and crosslinked actin networks, and measure the resulting stress and actin filament deformations. We couple nonlinear…

Soft Condensed Matter · Physics 2016-10-24 Bekele Gurmessa , Shea Ricketts , Rae M. Robertson-Anderson

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

Proliferation is a defining feature of life. Through growth, division, and death, living systems consume energy and inject mass, breaking conservation laws and driving collective phenomena from biofilm formation to embryonic development.…

Statistical Mechanics · Physics 2026-03-25 Nicola Pellicciotta , Luca Angelani , Roberto Di Leonardo

Network theory is rapidly changing our understanding of complex systems, but the relevance of topological features for the dynamic behavior of metabolic networks, food webs, production systems, information networks, or cascade failures of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Dirk Helbing , Ulrich Witt , Stefan Laemmer , Thomas Brenner

In this communication, we propose a model to study the non-equilibrium process by which actin stress fibers develop force in contractile cells. The emphasis here is on the non-equilibrium thermodynamics, which is necessary to address the…

Subcellular Processes · Quantitative Biology 2014-04-25 Mirko Maraldi , Krishna Garikipati

A fundamental task in developmental biology is to identify the mechanisms which drive morphogenesis. In many cases, pattern formation is driven by the positional information determined by both the gradient of maternal factors and hard-wired…

Molecular Networks · Quantitative Biology 2007-05-23 L. Diambra , Luciano da Fontoura Costa

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

Neurons and Cognition · Quantitative Biology 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

We characterize the force state of shear-loaded granular matter by relating the macroscopic stress to statistical properties of the force network. The purely repulsive nature of the interaction between grains naturally provides an upper…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wouter G. Ellenbroek , Jacco H. Snoeijer

This work targets the influence of disorder on the relaxed structure and macroscopic mechanical properties of elastic networks. We construct network classes of different types of disorder (length, topology and stiffness), which are…

Soft Condensed Matter · Physics 2025-08-29 Stefanie Heyden , Mohit Pundir , Eric R. Dufresne , David S. Kammer

Multiple polymer networks, such as double-network elastomers comprising a sacrificial and a matrix network, exhibit exceptional mechanical resilience, commonly attributed to the formation of an extended damage zone before a crack can grow.…

Transport networks are crucial to the functioning of natural and technological systems. Nature features transport networks that are adaptive over a vast range of parameters, thus providing an impressive level of robustness in supply.…

Adaptation and Self-Organizing Systems · Physics 2017-11-28 Erik Andreas Martens , Konstantin Klemm

Molecular-motor generated active stresses drive the cytoskeleton away from equilibrium, endowing it with tunable mechanical properties that are essential for diverse functions such as cell division and motility[1-5]. Designing analogous…

Recent work in modeling the coupling between disease dynamics and dynamic social network geometry has led to the examination of how human interactions force a rewiring of connections in a population. Rewiring of the network may be…

Statistical Mechanics · Physics 2009-09-29 Leah B. Shaw , Ira B. Schwartz