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We consider complex clustered networks with a gradient structure, where sizes of the clusters are distributed unevenly. Such networks describe more closely actual networks in biophysical systems and in technological applications than…

Chaotic Dynamics · Physics 2015-06-26 Xingang Wang , Liang Huang , Ying-Cheng Lai , Choy Heng Lai

Multi-Modal Learning (MML) integrates information from diverse modalities to improve predictive accuracy. While existing optimization strategies have made significant strides by mitigating gradient direction conflicts, we revisit MML from a…

Machine Learning · Computer Science 2026-02-09 Peizheng Guo , Jingyao Wang , Wenwen Qiang , Jiahuan Zhou , Changwen Zheng , Gang Hua

Many biological, physical, and social interactions have a particular dependence on where they take place. In living cells, protein movement between the nucleus and cytoplasm affects cellular response (i.e., proteins must be present in the…

Molecular Networks · Quantitative Biology 2012-10-11 Heather A. Harrington , Elisenda Feliu , Carsten Wiuf , Michael M. P. Stumpf

Collective response to external directional cues like electric fields plays a pivotal role in processes such as tissue development, regeneration, and wound healing. In this study we focus on the impact of anisotropy in cell shape and local…

Cell Behavior · Quantitative Biology 2024-04-09 Kurmanbek Kaiyrbekov , Brian A. Camley

Experimental evidence lends support to the conjecture that the ability of chains of cells to sense the gradient of an external chemical concentration could rely on cell-to-cell communication. This is the basis for the gradient sensing…

Quantitative Methods · Quantitative Biology 2021-02-24 Dallas Foster , Collin Victor , Brian Frost , Juan M. Restrepo

Collections of cells exhibit coherent migration during morphogenesis, cancer metastasis, and wound healing. In many cases, bigger clusters split, smaller sub-clusters collide and reassemble, and gaps continually emerge. The connections…

Biological Physics · Physics 2021-03-31 Ushasi Roy , Andrew Mugler

Recent studies revealed complex convergence dynamics in gradient-based methods, which has been little understood so far. Changing the step size to balance between high convergence rate and small generalization error may not be sufficient:…

Machine Learning · Computer Science 2021-04-07 Ilona Kulikovskikh

Biological cells are able to accurately sense chemicals with receptors at their surfaces, allowing cells to move towards sources of attractant and away from sources of repellent. The accuracy of sensing chemical concentration is ultimately…

Subcellular Processes · Quantitative Biology 2015-05-14 Robert G. Endres , Ned S. Wingreen

The adaptive immune system constantly remodels its lymphocyte repertoire for better protection against future pathogens. Its ability to improve antigen recognition on the fly relies on somatic mutation and selective expansion of B…

Biological Physics · Physics 2022-09-29 Hongda Jiang , Shenshen Wang

Single eukaryotic cells commonly sense and follow chemical gradients, performing chemotaxis. Recent experiments and theories, however, show that even when single cells do not chemotax, clusters of cells may, if their interactions are…

Cell Behavior · Quantitative Biology 2016-07-04 Brian A. Camley , Juliane Zimmermann , Herbert Levine , Wouter-Jan Rappel

Here we characterized an information measure for cell polarity that applies to non-motile cells responding to a chemical gradient. The central idea is that polarization represents information about the direction of the gradient. We applied…

Cell Behavior · Quantitative Biology 2025-04-14 Tau-Mu Yi

Uncovering latent community structure in complex networks is a field that has received an enormous amount of attention. Unfortunately, whilst potentially very powerful, unsupervised methods for uncovering labels based on topology alone has…

Social and Information Networks · Computer Science 2018-06-29 James P Gilbert , Jamie Twycross

Swarming or collective motion of living entities is one of the most common and spectacular manifestations of living systems having been extensively studied in recent years. A number of general principles have been established. The…

Cell Behavior · Quantitative Biology 2014-06-06 Elod Mehes , Tamas Vicsek

This work reports on two results. At first we revisit the Berg and Purcell calculation that provides a lower bound to the error in concentration measurement by cells, by considering the realistic case when the cell starts measuring the…

Subcellular Processes · Quantitative Biology 2022-04-06 Vaibhav Wasnik

This article makes two novel contributions to spatial political and conflict research using grid data. First, it develops a theory of how uncertainty specific to grid data affects inference. Second, it introduces a comprehensive robustness…

Methodology · Statistics 2022-11-11 Akisato Suzuki

In contexts ranging from embryonic development to bacterial ecology, cell populations migrate chemotactically along self-generated chemical gradients, often forming a propagating front. Here, we theoretically show that the stability of such…

Biological Physics · Physics 2022-06-07 Ricard Alert , Alejandro Martínez-Calvo , Sujit S. Datta

A tensor provides a concise way to codify the interdependence of complex data. Treating a tensor as a d-way array, each entry records the interaction between the different indices. Clustering provides a way to parse the complexity of the…

Machine Learning · Computer Science 2020-05-26 Derek DeSantis , Phillip J. Wolfram , Katrina Bennett , Boian Alexandrov

Autologous chemotaxis is the process in which cells secrete and detect molecules to determine the direction of fluid flow. Experiments and theory suggest that autologous chemotaxis fails at high cell densities because molecules from other…

Biological Physics · Physics 2023-05-08 Louis González , Andrew Mugler

During development, highly ordered structures emerge as cells collectively coordinate with each other. While recent advances have clarified how individual cells process and respond to external signals, understanding collective cellular…

Biological Physics · Physics 2026-02-05 Ashutosh Tripathi , Jörn Dunkel , Dominic J. Skinner

Motile biological cells in tissue often display the phenomenon of durotaxis, i.e. they tend to move towards stiffer parts of substrate tissue. The mechanism for this behavior is not completely understood. We consider simplified models for…

Biological Physics · Physics 2019-01-03 Charles R. Doering , Xiaoming Mao , Leonard M. Sander