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Active systems across scales, ranging from molecular machines to human crowds, are usually modeled as assemblies of self-propelled particles driven by internally generated forces. However, these models often assume memoryless dynamics and…

Statistical Mechanics · Physics 2025-12-10 Marc Besse , Raphaël Voituriez

Little is known theoretically about the associative memory capabilities of neural networks in which information is encoded not only in the mean firing rate but also in the timing of firings. Particularly, in the case that the fraction of…

Disordered Systems and Neural Networks · Physics 2009-10-31 Toshio Aoyagi , Masaki Nomura

Networks of filamentous actin (F-actin) are important for the mechanics of most animal cells. These cytoskeletal networks are highly dynamic, with a variety of actin-associated proteins that control cross-linking, polymerization and force…

Soft Condensed Matter · Physics 2021-08-09 S. Arzash , P. M. McCall , J. Feng , M. L. Gardel , F. C. MacKintosh

An elementary cellular automaton with memory is a chain of finite state machines (cells) updating their state simultaneously and by the same rule. Each cell updates its current state depending on current states of its immediate neighbours…

Cellular Automata and Lattice Gases · Physics 2018-03-16 Genaro J. Martinez , Andrew Adamatzky , Kenichi Morita

We investigate the mechanical interplay between the spatial organization of the actin cytoskeleton and the shape of animal cells adhering on micropillar arrays. Using a combination of analytical work, computer simulations and in vitro…

The directed polymerization of actin networks is an essential element of many biological processes, including cell migration. Different theoretical models considering the interplay between the underlying processes of polymerization, capping…

Subcellular Processes · Quantitative Biology 2013-04-16 Julian Weichsel , Krzysztof Baczynski , Ulrich S. Schwarz

A capsule is a group of neurons whose activity vector represents the instantiation parameters of a specific type of entity such as an object or an object part. We use the length of the activity vector to represent the probability that the…

Computer Vision and Pattern Recognition · Computer Science 2017-11-09 Sara Sabour , Nicholas Frosst , Geoffrey E Hinton

In cells, cytoskeletal filament networks are responsible for cell movement, growth, and division. Filaments in the cytoskeleton are driven and organized by crosslinking molecular motors. In reconstituted cytoskeletal systems, motor activity…

Branched actin networks exert pushing forces in eukaryotic cells, and adapt their stiffness to their environment. The physical basis for their mechanics and adaptability is however not understood. Indeed, here we show that their high…

We present a statistical mechanical study of stiff polymers, motivated by experiments on actin filaments and the considerable current interest in polymer networks. We obtain simple, approximate analytical forms for the force-extension…

Soft Condensed Matter · Physics 2009-11-13 Abhijit Ghosh , Joseph Samuel , Supurna Sinha

Neurites, the long cellular protrusions that form the routes of the neuronal network are capable to actively extend during early morphogenesis or to regenerate after trauma. To perform this task, they rely on their cytoskeleton for…

Biological Physics · Physics 2016-03-23 Pierre Recho , Antoine Jérusalem , Alain Goriely

The use of recurrent neural networks to represent the dynamics of unstable systems is difficult due to the need to properly initialize their internal states, which in most of the cases do not have any physical meaning, consequent to the…

Neural and Evolutionary Computing · Computer Science 2019-11-05 Simone Pozzoli , Marco Gallieri , Riccardo Scattolini

The polymerization of actin via branching at a cell membrane containing nucleation-promoting factors is simulated using a stochastic-growth methodology. The polymerized-actin distribution displays three types of behavior: a) traveling…

Biological Physics · Physics 2015-05-19 Anders E. Carlsson

Neurons, as eukaryotic cells, have powerful internal computation capabilities. One neuron can have many distinct states, and brains can use this capability. Processes of neuron growth and maintenance use chemical signalling between cell…

Neurons and Cognition · Quantitative Biology 2025-12-10 Robert Worden

Traditionally, physical models of associative memory assume conditions of equilibrium. Here, we consider a prototypical oscillator model of associative memory and study how active noise sources that drive the system out of equilibrium, as…

Disordered Systems and Neural Networks · Physics 2023-07-26 Matthew Du , Agnish Kumar Behera , Suriyanarayanan Vaikuntanathan

The cytoskeleton -- a collection of polymeric filaments, molecular motors, and crosslinkers -- is a foundational example of active matter, and in the cell assembles into organelles that guide basic biological functions. Simulation of…

Soft Condensed Matter · Physics 2022-06-13 Wen Yan , Saad Ansari , Adam Lamson , Matthew A. Glaser , Meredith Betterton , Michael J. Shelley

The associative memory model is a typical neural network model, which can store discretely distributed fixed-point attractors as memory patterns. When the network stores the memory patterns extensively, however, the model has other…

Neurons and Cognition · Quantitative Biology 2014-11-27 Shin Murata , Yosuke Otsubo , Kenji Nagata , Masato Okada

The ability of cells to move through small spaces depends on the mechanical properties of the cellular cytoskeleton and on nuclear deformability. In mammalian cells, the cytoskeleton is comprised of three interacting, semi-flexible polymer…

Biological Physics · Physics 2021-10-27 Sarthak Gupta , Alison E. Patteson , J. M. Schwarz

Traffic and pedestrian systems consist of human collectives where agents are intelligent and capable of processing available information, to perform tactical manoeuvres that can potentially increase their movement efficiency. In this study,…

Adaptation and Self-Organizing Systems · Physics 2023-02-08 Danny Raj M , Arvind Nayak

Contractile forces are essential for many developmental processes involving cell shape change and tissue deformation. Recent experiments on reconstituted actomyosin networks, the major component of the contractile machinery, have shown that…

Biological Physics · Physics 2012-05-31 Shenshen Wang , Peter G. Wolynes
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