Coherent modelling switch between pointwise and distributed representations of cell aggregates

DOI10.1007/s00285-016-1042-0zbMath1367.35166OpenAlexW2461943535WikidataQ48156590 ScholiaQ48156590MaRDI QIDQ515830

Luigi Preziosi, Marco Scianna, Annachiara Colombi

Publication date: 17 March 2017

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: http://porto.polito.it/2645185/

zbMATH Keywords

hybrid systemscell differentiationmultiscale modelingmultiscale dynamicscell phenotypic transition

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Cell movement (chemotaxis, etc.) (92C17) PDEs in connection with mechanics of particles and systems of particles (35Q70)

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Cites Work

• Adding adhesion to a chemical signaling model for somite formation
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• A nonlocal model for contact attraction and repulsion in heterogeneous cell populations
• Global nonexistence for a semilinear Petrovsky equation
• A review of mathematical models for the formation of vascular networks
• Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
• A continuum approach to modelling cell-cell adhesion
• A hybrid mathematical model for self-organizing cell migration in the zebrafish lateral line
• Multiscale Developments of the Cellular Potts Model
• A Measure-Theoretic Model for Collective Cell Migration and Aggregation

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