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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

While experiments and computer simulations to study biological phenomena are usually performed in diluted in vitro conditions, such phenomena happen inside the cell, an environment densely packed with diverse macromolecules. Here, we revise…

Biomolecules · Quantitative Biology 2026-05-22 Apoorva Mathur , Vanessa Regina Miranda , Ariane Nunes-Alves

Our knowledge of how individual cells self-organize to form complex multicellular systems is being revolutionized by a data outburst, coming from high-throughput experimental breakthroughs such as single-cell RNA sequencing and spatially…

Cell Behavior · Quantitative Biology 2021-04-20 Gabriel Torregrosa , Jordi Garcia-Ojalvo

Bacterial cells navigate around their environment by directing their movement along chemical gradients. This process, known as chemotaxis, can promote the rapid expansion of bacterial populations into previously unoccupied territories.…

Populations and Evolution · Quantitative Biology 2022-06-08 Avaneesh V. Narla , Jonas Cremer , Terry Hwa

While the impact of crowding on the diffusive transport of molecules within a cell is widely studied in biology, it has thus far been neglected in traffic systems where bulk behavior is the main concern. Here, we study the effects of…

Adaptation and Self-Organizing Systems · Physics 2015-06-11 Jay Samuel L. Combinido , May T. Lim

Cell cultures exhibit rich and complex behaviors driven by dynamic metabolic interactions among cells. In this work, we present a model that captures these interactions through a framework inspired by statistical mechanics. Using Monte…

Biological Physics · Physics 2025-09-25 A. R. Batista-Tomás , C. Díaz-Faloh , R. Mulet

In a previous paper we have introduced a phenomenological model of cell metabolism and of the cell cycle to simulate the behavior of large tumor cell populations (Chignola R and Milotti E, Phys. Biol. 2 (2005) 8-22). Here we describe a…

Biological Physics · Physics 2009-11-13 Roberto Chignola , Alessio Del Fabbro , Chiara Dalla Pellegrina , Edoardo Milotti

The maintenance of the proliferative cell niche is critical to epithelial tissue morphology and function. In this paper we investigate how current modelling methods can result in the erroneous loss of proliferative cells from the…

Tissues and Organs · Quantitative Biology 2021-09-01 Claire Miller , Edmund Crampin , James Osborne

This study develops an equation for describing three-dimensional membrane transformation through proliferation of its component cells regulated by morphogen density distributions on the membrane. The equation is developed in a…

Other Quantitative Biology · Quantitative Biology 2016-05-09 Hiroshi C. Ito

Cell migration is important in many biological processes, including embryonic development, cancer metastasis, and wound healing. In these tissues, a cell's motion is often strongly constrained by its neighbors, leading to glassy dynamics.…

Biological Physics · Physics 2016-01-20 Dapeng Bi , J. H. Lopez , J. M. Schwarz , M. Lisa Manning

Cell neighbor exchanges are integral to tissue rearrangements in biology, including development and repair. Often these processes occur via topological T1 transitions analogous to those observed in foams, grains and colloids. However, in…

Soft Condensed Matter · Physics 2023-05-16 Amit Das , Srikanth Sastry , Dapeng Bi

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

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

Deciphering the control principles of metabolism and its interaction with other cellular functions is central to biomedicine and biotechnology. Yet, understanding the efficient control of metabolic fluxes remains elusive for large-scale…

Molecular Networks · Quantitative Biology 2015-09-04 Georg Basler , Zoran Nikoloski , Abdelhalim Larhlimi , Albert-László Barabási , Yang-Yu Liu

In this paper we study some mathematical models describing evolution of population density and spread of epidemics in population systems in which spatial movement of individuals depends only on the departure and arrival locations and does…

Functional Analysis · Mathematics 2014-03-24 Shangbin Cui , Meng Bai

We introduce a nonlinear and nonlocal model that describes the range expansion of a population resulting from growth and competition for space. This type of phenomenon underlies the expansion of colonies of immotile cells which motivated…

Analysis of PDEs · Mathematics 2026-02-26 Henri Berestycki , Antoine Mellet

A novel mechanism for cell differentiation is proposed, based on the dynamic clustering in a globally coupled chaotic system. A simple model with metabolic reaction, active transport of chemicals from media, and cell division is found to…

adap-org · Physics 2009-10-22 Kunihiko Kaneko , Tetsuya Yomo

Bacterial swarming is a rapid mass-migration, in which thousands of cells spread collectively to colonize a surface. Physically, swarming is a natural example of active particles that use energy to generate motion. Accordingly,…

Soft Condensed Matter · Physics 2019-11-14 Avraham Be`er , Bella Ilkanaiv , Renan Gross , Daniel B. Kearns , Sebastian Heidenreich , Markus Bär , Gil Ariel

During the life cycle of bacterial cells the non-mixing of the two ring-shaped daughter genomes is an important prerequisite for the cell division process. Mimicking the environments inside highly crowded biological cells, we study the…

Soft Condensed Matter · Physics 2014-12-24 Jaeoh Shin , Andrey G Cherstvy , Ralf Metzler

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
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