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Through mechanical forces, biological cells remodel the surrounding collagen network, generating striking deformation patterns. Tethers-tracts of high densification and fiber alignment-form between cells, thinner bands emanate from cell…

The statistical properties of intra-chromosome maps obtained by a genome-wide chromosome conformation capture method (Hi-C) are described in the framework of the hierarchical crumpling model of heteropolymer chain with quenched disorder in…

Genomics · Quantitative Biology 2013-12-02 L. Nazarov , M. V. Tamm , S. K. Nechaev , V. A. Avetisov

Vascular and non-vascular cells often form an interconnected network in vitro, similar to the early vascular bed of warm blooded embryos. Our time-lapse recordings show that the network forms by extending sprouts, i.e., multicellular linear…

Cell Behavior · Quantitative Biology 2009-11-13 Andras Szabo , Erica D. Perryn , Andras Czirok

In this paper, we study pattern formations in an aggregation and diffusion cell migration model with Dirichlet boundary condition. The formal continuum limit of the model is a nonlinear parabolic equation with a diffusivity which can become…

Analysis of PDEs · Mathematics 2020-11-30 Lianzhang Bao

Multicellular organisms exhibit a high degree of structural organization with specific cell types always occurring in characteristic locations. The conventional framework for describing the emergence of such consistent spatial patterns is…

Tissues and Organs · Quantitative Biology 2022-05-11 Chandrashekar Kuyyamudi , Shakti N. Menon , Sitabhra Sinha

The proper functioning of multicellular organisms requires the robust establishment of precise proportions between distinct cell-types. This developmental differentiation process typically involves intracellular regulatory and stochastic…

Cell Behavior · Quantitative Biology 2016-06-22 Benjamin Pfeuty , Kunihiko Kaneko

We examine a spatially discrete reaction diffusion model based on the interactions that create a periodic pattern in the Drosophila eye imaginal disc. This model is capable of generating a regular hexagonal pattern of gene expression behind…

Molecular Networks · Quantitative Biology 2010-01-26 Matthew W. Pennington , David K. Lubensky

A promising direction in drug development is to exploit the ability of natural killer cells to kill antibody-labeled target cells. Monoclonal antibodies and drugs designed to elicit this effect typically bind cell-surface epitopes that are…

Cell Behavior · Quantitative Biology 2015-05-18 Ryan N. Gutenkunst , Daniel Coombs , Toby Star , Michael L. Dustin , Byron Goldstein

Turing mechanisms can yield a large variety of patterns from noisy, homogenous initial conditions and have been proposed as patterning mechanism for many developmental processes. However, the molecular components that give rise to Turing…

Molecular Networks · Quantitative Biology 2015-06-22 Tamás Kurics , Denis Menshykau , Dagmar Iber

Many essential cellular processes, including cell division and the establishment of cell polarity during embryogenesis, are regulated by pattern-forming proteins. These proteins often need to bind to a substrate, such as the cell membrane,…

Soft Condensed Matter · Physics 2025-10-08 Amélie Chardac , Michael M. Norton , Jonathan Touboul , Guillaume Duclos

The clonal expansion of T cells during an infection is tightly regulated to ensure an appropriate immune response against invading pathogens. Although experiments have mapped the trajectory from expansion to contraction, the interplay…

Dynamical Systems · Mathematics 2021-10-08 Pantea Pooladvand , Peter S. Kim , Barbara Fazekas de St Groth

Cell migration plays a fundamental role in numerous physiological processes, including embryonic development, wound healing, and cancer metastasis. While cell-cell adhesion is known to regulate motion by shaping cell morphology and…

Biological Physics · Physics 2026-03-09 Anh Q. Nguyen , Pradip K. Bera , Jacob Notbohm , Dapeng Bi

We study the dynamics of pattern formation in a minimal model for active mixtures made of microtubules and molecular motors. We monitor the evolution of the (conserved) microtubule density and of the (non-conserved) nematic order parameter,…

Soft Condensed Matter · Physics 2020-05-25 Ivan Maryshev , Alexander Morozov , Andrew B. Goryachev , Davide Marenduzzo

Migratory and tissue resident cells exhibit highly branched morphologies to perform their function and to adapt to the microenvironment. Immune cells, for example, display transient branched shapes while exploring the surrounding tissues.…

Biological Physics · Physics 2024-04-02 Jiayi Liu , Javier Boix-Campos , Jonathan E. Ron , Johan M. Kux , Nir S. Gov , Pablo J. Sáez

Researching the specificity of TCR contributes to the development of immunotherapy and provides new opportunities and strategies for personalized cancer immunotherapy. Therefore, we established a TCR generative specificity detection…

Quantitative Methods · Quantitative Biology 2024-07-30 Tengyao Tu , Wei Zeng , Kun Zhao , Zhenyu Zhang

We discovered that certain patterns called injective patterns remain stable during the revolution process, allowing us to create many reversible CA simply by using them to design the revolution rules. By examining injective patterns, we…

Computational Complexity · Computer Science 2023-09-28 Defu Lin , Weilin Chen , Chen Wang , Junchi Ma , Chao Wang

Motivation: The activity of the adaptive immune system is governed by T-cells and their specific T-cell receptors (TCR), which selectively recognize foreign antigens. Recent advances in experimental techniques have enabled sequencing of…

Biomolecules · Quantitative Biology 2023-08-28 Anna Weber , Jannis Born , María Rodríguez Martínez

Intracellular protein patterns regulate a variety of vital cellular processes such as cell division and motility, which often involve dynamic changes of cell shape. These changes in cell shape may in turn affect the dynamics of…

Pattern Formation and Solitons · Physics 2023-07-19 Laeschkir Würthner , Andriy Goychuk , Erwin Frey

During migration cells exhibit a rich variety of seemingly random migration patterns, which makes unraveling the underlying mechanisms that control cell migration a daunting challenge. For efficient migration cells require a mechanism for…

Biological Physics · Physics 2020-08-19 Jonathan E. Ron , Pascale Monzo , Nils Gauthier , Raphael Voituriez , Nir S. Gov

In multicellular systems, adhesion complexes, such as those composed of E-cadherin and associated catenins, mechanically couple neighboring cells by directly linking their actin-based cytoskeletal assemblies. However, the mechanics of how…

Biological Physics · Physics 2025-09-18 XinXin Du , Ido Lavi , Michael J. Shelley