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The collective behavior of molecular motor proteins have been investigated in the literature using models to describe the long-time dynamics of a unidimensional continuum motor distribution. Here, we consider the phenomena related to the…

Subcellular Processes · Quantitative Biology 2008-03-20 Daniel Gomes Lichtenthaler , Carla Goldman

Cell movement and intercellular signaling occur simultaneously during the development of tissues, but little is known about how movement affects signaling. Previous theoretical studies have shown that faster moving cells favor…

Cell Behavior · Quantitative Biology 2012-05-09 Koichiro Uriu , Saul Ares , Andrew C. Oates , Luis G. Morelli

Cell movement has essential functions in development, immunity and cancer. Various cell migration patterns have been reported and a general rule has recently emerged, the so-called UCSP (Universal Coupling between cell Speed and cell…

Analysis of PDEs · Mathematics 2019-12-17 Christèle Etchegaray , Nicolas Meunier , Raphael Voituriez

We study the phase behavior of polar Active Brownian Particles moving in two-spatial dimensions and interacting through volume exclusion and velocity alignment. We combine particle-based simulations of the microscopic model with a simple…

Soft Condensed Matter · Physics 2018-12-26 Elena Sese-Sansa , Ignacio Pagonabarraga , Demian Levis

We use a three-dimensional formulation of the cell vertex model to describe the mechanical properties of a confluent planar monolayer of prismatic cells. Treating cell height as a degree of freedom, we reduce the model to a two-dimensional…

Biological Physics · Physics 2025-08-29 Natasha Cowley , Sarah Woolner , Oliver E. Jensen

Various multicellular tissues show chiral morphology. Experimental studies have shown this can originate from cell chirality. However, no theory has been proposed to connect the cellular chiral torque and multicellular chiral morphogenesis.…

Soft Condensed Matter · Physics 2021-01-04 Takaki Yamamoto , Tetsuya Hiraiwa , Tatsuo Shibata

Cell motility underlies many biological processes, including cancer metastasis, bacterial infection, and evolutionary adaptation. We introduce a non-equilibrium single-cell motility model inspired by the generalized Langevin equation, which…

Biological Physics · Physics 2026-01-27 Anton Klimek , Prince V. Baruah , Prerna Sharma , Roland R. Netz

Cell-cell adhesion plays a vital role in the development and maintenance of multicellular organisms. One of its functions is regulation of cell migration, such as occurs, e.g. during embryogenesis or in cancer. In this work, we develop a…

Tissues and Organs · Quantitative Biology 2024-03-08 Anna Zhigun , Mabel Lizzy Rajendran

Growing monolayers of rod-shaped bacteria exhibit local alignment similar to extensile active nematics. When confined in a channel or growing inward from a ring, the local nematic order of these monolayers changes to a global ordering with…

Soft Condensed Matter · Physics 2024-11-04 Blake Langeslay , Gabriel Juarez

We found evidence of dynamic scaling in the spreading of MDCK monolayer, which can be characterized by the Hurst exponent ${\alpha} = 0.86$ and the growth exponent ${\beta} = 0.73$, and theoretically and experimentally clarified the…

Cell Behavior · Quantitative Biology 2021-01-04 Toshiki Oguma , Hisako Takigawa-Imamura , Takashi Miura

The persistent motion of bacteria produces clusters with a stationary cluster size distribution (CSD). Here we develop a minimal model for bacteria in a narrow channel to assess the relative importance of motility diversity (i.e.…

Soft Condensed Matter · Physics 2020-11-19 Pablo de Castro , Saulo Diles , Rodrigo Soto , Peter Sollich

Cell invasion and spatial pattern formation are two distinct manifestations of cellular self-organisation in development, regeneration, and disease. Here, we develop and analyse a unified theoretical framework that links these two seemingly…

Tissues and Organs · Quantitative Biology 2026-04-30 Carles Falcó , Samuel W. S. Johnson , Mohit P. Dalwadi , Philip K. Maini

We show how multiplexing influences propagating fronts in multilayer networks of coupled bistable oscillators. Using numerical simulation, we investigate both deterministic and noise-sustained propagation. In particular, we demonstrate that…

Adaptation and Self-Organizing Systems · Physics 2023-06-28 Vladimir V. Semenov , Sarika Jalan , Anna Zakharova

Developing epithelial tissues coordinate cell proliferation and mechanical forces to achieve proper size and shape. As epithelial cells tightly adhere together to form the confluent tissue, the distribution of cell areas significantly…

Biological Physics · Physics 2026-01-22 Michael F. Staddon , Natalie A. Dye , Marko Popović , Frank Jülicher

We consider a minimal go-or-grow model of cell invasion, whereby cells can either proliferate, following logistic growth, or move, via linear diffusion, and phenotypic switching between these two states is density-dependent. Formal analysis…

Analysis of PDEs · Mathematics 2024-04-18 Carles Falcó , Rebecca M. Crossley , Ruth E. Baker

It is known that mechanical interactions couple a cell to its neighbors, enabling a feedback loop to regulate tissue growth. However, the interplay between cell-cell adhesion strength, local cell density and force fluctuations in regulating…

Soft Condensed Matter · Physics 2020-02-12 Abdul Malmi-Kakkada , Xin Li , Sumit Sinha , D. Thirumalai

Cell shape has long been used to discern cell phenotypes and states, but the underlying premise has not been quantitatively tested. Here, we show that a single cell image can be used to discriminate its migration behavior by analyzing a…

Cell Behavior · Quantitative Biology 2023-09-29 Xiuxiu He , Kuangcai Chen , Ning Fang , Yi Jiang

Local stresses in a tissue, a collective property, regulate cell division and apoptosis. In turn, cell growth and division induce active stresses in the tissue. As a consequence, there is a feedback between cell growth and local stresses.…

Soft Condensed Matter · Physics 2024-05-06 Sumit Sinha , Xin Li , Abdul N Malmi-Kakkada , D. Thirumalai

Numerous problems in development, regeneration, and disease involve simultaneous evolution of both spatial organization and the internal state of the constituents in addition to local interactions and crowding. This motivates us to study a…

Soft Condensed Matter · Physics 2026-04-09 Yagyik Goswami

The rheology of biological tissue plays an important role in many processes, from organ formation to cancer invasion. Here, we use a multi-phase field model of motile cells to simulate active microrheology within a tissue monolayer. When…

Soft Condensed Matter · Physics 2022-10-12 Austin Hopkins , Michael Chiang , Benjamin Loewe , Davide Marenduzzo , M. Cristina Marchetti