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We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

Analysis of PDEs · Mathematics 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

Treating the epithelium as an incompressible fluid adjacent to a viscoelastic stroma, we find a novel hydrodynamic instability that leads to the formation of protrusions of the epithelium into the stroma. This instability is a candidate for…

Biological Physics · Physics 2012-03-09 Markus Basan , Jean-Francois Joanny , Jacques Prost , Thomas Risler

Solving population balance equations, we derive analytical steady-state cell size distributions for single-lineage experiments, such as the mother machine. These experiments are fundamentally different from batch cultures where populations…

Populations and Evolution · Quantitative Biology 2023-09-13 Arthur Genthon

Investigations of natural variation among cells within a population are essential for understanding the stochastic nature of tissue cell deformation under applied load. In the existing literature, the population variation of single-cell…

Cell Behavior · Quantitative Biology 2011-07-14 John M. Maloney , Krystyn J. Van Vliet

The reproduction of a living cell requires a repeatable set of chemical events to be properly coordinated. Such events define a replication cycle, coupling the growth and shape change of the cell membrane with internal metabolic reactions.…

Cell Behavior · Quantitative Biology 2007-05-23 J. Macia , R. V. Sole

Biological tissues exhibit diverse mechanical and rheological behaviors during morphogenesis. While much is known about tissue phase transitions controlled by structural order and cell mechanics, key questions regarding how tissue-scale…

Soft Condensed Matter · Physics 2026-04-29 Pengyu Yu , Fridtjof Brauns , M. Cristina Marchetti

The shapes of epithelial tissues result from a complex interplay of contractile forces in the cytoskeleta of the cells in the tissue, and adhesion forces between them. A host of discrete, cell-based models describe these forces by assigning…

Soft Condensed Matter · Physics 2019-02-27 Pierra A. Haas , Raymond E. Goldstein

We present a computational model to study the spatiotemporal dynamics of the epidermis homeostasis under normal and pathological conditions. The model consists of a population kinetics model of the central transition pathway of keratinocyte…

Molecular Networks · Quantitative Biology 2014-12-24 Hong Zhang , Wenhong Hou , Laurence Henrot , Marc Dumas , Sylvianne Schnebert , Catherine Heus , Jin Yang

A biological system achieve homeostasis when there is a regulated quantity that is maintained within a narrow range of values. Here we consider homeostasis as a phenomenon of network dynamics. In this context, we improve a general theory…

Molecular Networks · Quantitative Biology 2024-05-08 João Luiz de Oliveira Madeira , Fernando Antoneli

Purpose of review: The epithelial-Mesenchymal Transition (EMT) and the generation of Cancer Stem Cells (CSC) are two fundamental aspects contributing to tumor growth, acquisition of resistance to therapy, formation of metastases, and tumor…

Molecular Networks · Quantitative Biology 2018-11-07 Federico Bocci , Herbert Levine , José Nelson Onuchic , Mohit Kumar Jolly

Mounting evidence underscores the prevalent hierarchical organization of cancer tissues. At the foundation of this hierarchy reside cancer stem cells, a subset of cells endowed with the pivotal role of engendering the entire cancer tissue…

Applications · Statistics 2023-08-21 Shuli Chen , Yuman Wang , Da Zhou , Jie Hu

Tumors are defined by their intense proliferation, but sometimes cancer cells turn senescent and stop replicating. In the stochastic cancer model in which all cells are tumorigenic, senescence is seen as the result of random mutations,…

Tissues and Organs · Quantitative Biology 2013-08-29 Caterina A. M. La Porta , Stefano Zapperi , James P. Sethna

Coordinated motion of cell monolayers during epithelial wound healing and tissue morphogenesis involves mechanical stress generation. Here we propose a model for the dynamics of epithelial expansion that couples mechanical deformations in…

Soft Condensed Matter · Physics 2015-06-09 Shiladitya Banerjee , Kazage J. C. Utuje , M. Cristina Marchetti

We consider the decision making by mammalian cells, looking them as dynamic systems with rhythms. We calculate the effective dimension of the cell division model of the healthy mammalian cells consistent with the data: it is described via a…

Cell Behavior · Quantitative Biology 2015-12-18 David B. Saakian

In multicellular organisms, epithelial cells form layers separating compartments responsible for different physiological functions. At the early stage of epithelial layer formation, each cell of an aggregate defines an inner and an outer…

Cell Behavior · Quantitative Biology 2010-02-09 A. Veglio , A. Gamba , M. Nicodemi , F. Bussolino , G. Serini

Epithelial tissues are continuously exposed to cyclic stretch. Physiological stretching has been found to regulate soft tissue function at the molecular, cellular, and tissue scales, allowing tissues to preserve their homeostasis and adapt…

Biological Physics · Physics 2024-12-18 Eleni Papafilippou , Lucia Baldauf , Guillaume Charras , Alexandre Kabla , Alessandra Bonfanti

Phase separating systems that are maintained away from thermodynamic equilibrium via molecular processes represent a class of active systems, which we call active emulsions. These systems are driven by external energy input for example…

Soft Condensed Matter · Physics 2019-06-07 Christoph A. Weber , David Zwicker , Frank Jülicher , Chiu Fan Lee

Recent advancements in the ability to construct three-dimensional (3D) tissues and organoids from stem cells and biomaterials have not only opened abundant new research avenues in disease modeling and regenerative medicine but also have…

Tissues and Organs · Quantitative Biology 2017-07-27 Richard J. McMurtrey

Macroscopic properties and shapes of biological tissues depend on the remodelling of cell-cell junctions at the microscopic scale. We propose a theoretical framework that couples a vertex model of solid confluent tissues with the dynamics…

Soft Condensed Matter · Physics 2020-12-02 Clement Zankoc , Matej Krajnc

Multiple myeloma is a plasma cell cancer that leads to a dysregulated bone remodeling process. We present a partial differential equation model describing the dynamics of bone remodeling with the presence of myeloma tumor cells. The model…

Cell Behavior · Quantitative Biology 2015-11-18 Catherine E. Patterson , Bruce P. Ayati , Sarah A. Holstein