Abstract
The Voronoi-based cellular model is highly successful in describing the motion of two-dimensional confluent cell tissues. In the homogeneous version of this model, the energy of each cell is determined solely by its geometric shape and size, and the interaction between adjacent cells is a by-product of this additive energy. We generalize this model so as to allow zero or partial contact between cells. We identify several phases, two of which (solid confluent and liquid confluent) were found in previous studies that imposed confluency as well as others that were not. Transitions in this model may be relevant for understanding both normal development as well as cancer metastasis.
Original language | English |
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Article number | 042418 |
Journal | Physical Review E |
Volume | 98 |
Issue number | 4 |
DOIs | |
State | Published - 31 Oct 2018 |
Bibliographical note
Publisher Copyright:© 2018 American Physical Society.
Funding
E.T. and D.A.K. acknowledge the support of the United States–Israel Binational Science Foundation, Grant No. 2015619. H.L. acknowledges the support of the NSF Grant No. PHY-1605817.
Funders | Funder number |
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National Science Foundation | PHY-1605817 |
United States-Israel Binational Science Foundation | 2015619 |