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We provide a review of recent advancements in nonlocal continuous models for migration, mainly from the perspective of its involvement in embryonal development and cancer invasion. Particular emphasis is placed on spatial nonlocality…

Analysis of PDEs · Mathematics 2019-11-14 Li Chen , Kevin Painter , Christina Surulescu , Anna Zhigun

The mechanisms underlying collective migration, or the coordinated movement of a population of cells, are not well understood despite its ubiquitous nature. As a means to investigate collective migration, we consider a wound healing…

Cell Behavior · Quantitative Biology 2015-06-24 John T. Nardini , Douglas A. Chapnick , Xuedong Liu , David. M. Bortz

The migratory dynamics of cells in physiological processes, ranging from wound healing to cancer metastasis, rely on contact-mediated cell-cell interactions. These interactions play a key role in shaping the stochastic trajectories of…

Peripheral membrane proteins can reversibly and specifically bind to biological membranes to carry out functions such as cell signalling, enzymatic activity, or membrane remodelling. Structures of these proteins and of their lipid-binding…

Biological Physics · Physics 2023-11-14 Andreas Haahr Larsen , Laura H. John , Mark S. P. Sansom , Robin A. Corey

Multicellular tissues are the building blocks of many biological systems and organs. These tissues are not static, but dynamically change over time. Even if the overall structure remains the same there is a turnover of cells within the…

Tissues and Organs · Quantitative Biology 2021-02-12 Domenic P. J. Germano , James M. Osborne

We present a stochastic model which describes fronts of cells invading a wound. In the model cells can move, proliferate, and experience cell-cell adhesion. We find several qualitatively different regimes of front motion and analyze the…

Cell Behavior · Quantitative Biology 2009-11-13 Evgeniy Khain , Leonard M. Sander , Casey M. Schneider-Mizell

Composition is a powerful principle for systems biology, focused on the interfaces, interconnections, and orchestration of distributed processes to enable integrative multiscale simulations. Whereas traditional models focus on the structure…

Other Quantitative Biology · Quantitative Biology 2024-11-25 Eran Agmon

Cellular contractility, migration, and extracellular matrix (ECM) mechanics are critical for a wide range of biological processes including embryonic development, wound healing, tissue morphogenesis, and regeneration. Even though the…

Biological Physics · Physics 2023-10-17 Jaemin Kim , Mahmut Selman Sakar , Nikolaos Bouklas

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

This study builds upon a model proposed by Joanny and collaborators that examines the dynamics of interfaces between two distinct cell populations, particularly during tumor growth in healthy tissues. This framework leads to the…

Analysis of PDEs · Mathematics 2024-09-20 Juan Campos , Carlos Pulido , Juan Soler

Membrane tubulation is a ubiquitous process that occurs both at the plasma membrane and on the membranes of intracellular organelles. These tubulation events are known to be mediated by forces applied on the membrane either due to motor…

Soft Condensed Matter · Physics 2020-12-03 Arijit Mahapatra , Can Uysalel , Padmini Rangamani

Cell motility is one of the most fundamental phenomena underlying biological processes that maintain living organisms alive. Here we introduce a simple model to describe the motility of cells which include not only time-correlated internal…

Biological Physics · Physics 2022-07-13 T. N. Azevedo , L. G. Rizzi

The construction of a network of cell-to-cell contacts makes it possible to characterize the patterns and spatial organisation of tissues. Such networks are highly dynamic, depending on the changes of the tissue architecture caused by cell…

Tissues and Organs · Quantitative Biology 2013-06-25 Attila Csikász-Nagy , Luis M. Escudero , Martial Guillaud , Sean Sedwards , Buzz Baum , Matteo Cavaliere

Metastasis is a process of cell migration that can be collective and guided by chemical cues. Viewing metastasis in this way, as a physical phenomenon, allows one to draw upon insights from other studies of collective sensing and migration…

Biological Physics · Physics 2016-03-10 Julien Varennes , Andrew Mugler

The biomolecules in and around a living cell -- proteins, nucleic acids, lipids, carbohydrates -- continuously sample myriad conformational states that are thermally accessible at physiological temperatures. Simultaneously, a given…

Biomolecules · Quantitative Biology 2014-07-15 Cameron Mura , Charles E. McAnany

Complex network dynamics have been analyzed with models of systems of coupled switches or systems of coupled oscillators. However, many complex systems are composed of components with diverse dynamics whose interactions drive the system's…

Quantitative Methods · Quantitative Biology 2012-01-09 Matthew R. Francis , Elana J. Fertig

The extracellular matrix (ECM) is a highly complex structure through which biochemical and mechanical signals are transmitted. In processes of cell migration, the ECM also acts as a scaffold, providing structural support to cells as well as…

Cell biomechanics involve a great number of complex phenomena that are fundamental to the evolution of life itself and other associated processes, ranging from the very early stages of embryo-genesis to the maintenance of damaged structures…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Juan Olalla-Pombo , Alberto Badías , Miguel Ángel Sanz-Gómez , José María Benítez , Francisco Javier Montáns

Invasiveness, one of the hallmarks of tumor progression, represents the tumor's ability to expand into the host tissue by means of several complex biochemical and biomechanical processes. Since certain aspects of the problem present a…

Biological Physics · Physics 2009-11-13 Caterina Guiot , Nicola Pugno , Pier Paolo Delsanto , Thomas S. Deisboeck

Mechanics and biochemical signaling are both often deregulated in cancer, leading to cancer cell phenotypes that exhibit increased invasiveness, proliferation, and survival. The dynamics and interactions of cytoskeletal components control…

Biological Physics · Physics 2018-07-27 Fabian Spill , Chris Bakal , Michael Mak