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  Pressure-driven collective growth mechanism of planar cell colonies

Metzner, C., Lange, J., Krauss, P., Wunderling, N., Übelacker, J., Martin, F., Fabry, B. (2018): Pressure-driven collective growth mechanism of planar cell colonies. - Journal of Physics D: Applied Physics, 51, 304004.
https://doi.org/10.1088/1361-6463/aace4c

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 Creators:
Metzner, C.1, Author
Lange, J.1, Author
Krauss, P.1, Author
Wunderling, Nico2, Author              
Übelacker, J.1, Author
Martin, F.1, Author
Fabry, B.1, Author
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: The growth of cell colonies is determined by the migration and proliferation of the individual cells. This is often modeled with the Fisher–Kolmogorov (FK) equation, which assumes that cells diffuse independently from each other, but stop to proliferate when their density reaches a critial limit. However, when using measured, cell-line specific parameters, we find that the FK equation drastically underestimates the experimentally observed increase of colony radius with time. Moreover, cells in real colonies migrate radially outward with superdiffusive trajectories, in contrast to the assumption of random diffusion. We demonstrate that both dicrepancies can be resolved by assuming that cells in dense colonies are driven apart by repulsive, pressure-like forces. Using this model of proliferating repelling particles, we find that colony growth exhibits different dynamical regimes, depending on the ratio between a pressure-related equilibrium cell density and the critial density of proliferation arrest.

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 Dates: 2018
 Publication Status: Finally published
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1088/1361-6463/aace4c
PIKDOMAIN: Earth System Analysis - Research Domain I
eDoc: 8429
Research topic keyword: Nonlinear Dynamics
Model / method: Nonlinear Data Analysis
Working Group: Whole Earth System Analysis
 Degree: -

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Title: Journal of Physics D: Applied Physics
Source Genre: Journal, SCI, Scopus, p3
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Pages: - Volume / Issue: 51 Sequence Number: 304004 Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/1911181