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Models for confluent biological tissues often describe the network formed by cells as a triple-junction network, similar to foams. However, higher order vertices or multicellular rosettes are prevalent in developmental and {\it in vitro}…

Biological Physics · Physics 2019-02-20 Le Yan , Dapeng Bi

Decision-making is the process of selecting an action among alternatives, allowing biological and artificial systems to navigate complex environments and optimize behavior. While neural systems rely on neuron-based sensory processing and…

Biological Physics · Physics 2025-06-17 Lisa Schick , Emily Eichenlaub , Fabian Drexel , Alexander Mayer , Siyu Chen , Marcus Roper , Karen Alim

Liquid-liquid phase separation has emerged as a fundamental mechanism underlying intracellular organization, with evidence for it being reported in numerous different systems. However, there is a growing concern regarding the lack of…

Soft Condensed Matter · Physics 2022-12-09 Mrityunjay Kothari , Tal Cohen

Cell motion inside dense tissues governs many biological processes, including embryonic development and cancer metastasis, and recent experiments suggest that these tissues exhibit collective glassy behavior. To make quantitative…

Biological Physics · Physics 2016-04-27 Dapeng Bi , Xingbo Yang , M. Cristina Marchetti , M. Lisa Manning

Dynamics maintaining diversity of cell types in a multi-cellular system are studied in relationship with the plasticity of cellular states. By adopting a simple theoretical framework for intra-cellular chemical reaction dynamics with…

Cell Behavior · Quantitative Biology 2007-05-23 Hiroaki Takagi , Kunihiko Kaneko

Continuum models for the spatial dynamics of growing cell populations have been widely used to investigate the mechanisms underpinning tissue development and tumour invasion. These models consist of nonlinear partial differential equations…

Tissues and Organs · Quantitative Biology 2019-07-15 Mark AJ Chaplain , Tommaso Lorenzi , Fiona R Macfarlane

Confluent cell monolayers and epithelia tissues show remarkable patterns and correlations in structural arrangements and actively-driven collective flows. We simulate these properties using multiphase field models. The models are based on…

Soft Condensed Matter · Physics 2021-12-08 Dennis Wenzel , Axel Voigt

The hippocampus supports spatial navigation by encoding cognitive maps through collective place cell activity. We model the place cell population as non-negative spatial embeddings derived from the spectral decomposition of multi-step…

Neurons and Cognition · Quantitative Biology 2025-10-28 Minglu Zhao , Dehong Xu , Deqian Kong , Wen-Hao Zhang , Ying Nian Wu

Many critical biological processes, like wound healing, require confluent cell monolayers/bulk tissues to transition from a jammed solid-like to a fluid-like state. Although numerical studies anticipate changes in the cell shape alone can…

Soft Condensed Matter · Physics 2024-01-25 Pragya Arora , Souvik Sadhukhan , Saroj Kumar Nandi , Dapeng Bi , A K Sood , Rajesh Ganapathy

Cellular differentiation and evolution are stochastic processes that can involve multiple types (or states) of particles moving on a complex, high-dimensional state-space or "fitness" landscape. Cells of each specific type can thus be…

Populations and Evolution · Quantitative Biology 2014-11-17 Tom Chou , Yu Wang

T1 transitions, which are localised cell rearrangements, play an important role in the fluidization of epithelial monolayers. Using a multi-phase field model and an active elastic solid model, we show that although each cell undergoes T1…

Biological Physics · Physics 2025-02-11 Harish P. Jain , Richard D. J. G. Ho , Luiza Angheluta

A macroscopic theory for describing cellular states during steady-growth is presented, which is based on the consistency between cellular growth and molecular replication, as well as the robustness of phenotypes against perturbations.…

Populations and Evolution · Quantitative Biology 2021-02-08 Kunihiko Kaneko , Chikara Furusawa

In development and homeostasis, multi-cellular systems exhibit spatial and temporal heterogeneity in their biochemical and mechanical properties. Nevertheless, it remains unclear how spatiotemporally heterogeneous forces affect the…

Soft Condensed Matter · Physics 2022-02-18 Takaki Yamamoto , Daniel M. Sussman , Tatsuo Shibata , M. Lisa Manning

Tumor cells develop different features to adapt to environmental conditions. A prominent example is the ability of tumor cells to switch between migratory and proliferative phenotypes, a phenomenon known as go-or-grow mechanism. It is…

Tissues and Organs · Quantitative Biology 2014-07-14 Katrin Böttger , Haralambos Hatzikirou , Anja Voss-Boehme , Miguel A. Herrero , Andreas Deutsch

A rigorous understanding of how multicellular behaviors arise from the actions of single cells requires quantitative frameworks that bridge the gap between genetic circuits, the arrangement of cells in space, and population-level behaviors.…

Molecular Networks · Quantitative Biology 2016-02-18 Théo Maire , Hyun Youk

In processes such as embryo shaping, wound healing, and malignant cell invasion, epithelial cells transition between dispersed phases, where the cells move independently, and condensed phases, where they aggregate and deform to close gaps,…

Soft Condensed Matter · Physics 2024-09-25 Anshuman Pasupalak , Zeng Wu , Massimo Pica Ciamarra

Motivated by recent understandings in the stochastic natures of gene expression, biochemical signaling, and spontaneous reversible epigenetic switchings, we study a simple deterministic cell population dynamics in which subpopulations grow…

Populations and Evolution · Quantitative Biology 2014-08-04 Hong Qian

The observation that phenotypic variability is ubiquitous in isogenic populations has led to a multitude of experimental and theoretical studies seeking to probe the causes and consequences of this variability. Whether it be in the context…

Populations and Evolution · Quantitative Biology 2022-02-18 Ethan Levien , Jiseon Min , Jane Kondev , Ariel Amir

We study an opinion formation model by the means of a co-evolving complex network where the vertices represent the individuals, characterised by their evolving opinions, and the edges represent the interactions among them. The network…

Physics and Society · Physics 2015-06-19 Enrique Burgos , Laura Hernandez , Horacio Ceva , Roberto P. J. Perazzo

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