Coaction of intercellular adhesion and cortical tension specifies tissue surface tension
- aPrinceton Center for Theoretical Science, Princeton University, Princeton, NJ 08544;
- bUniversity of Medicine and Dentistry of New Jersey-Robert Wood Johnson Medical School, Piscataway, NJ 08854;
- cDepartment of Molecular Biology, Princeton University, Princeton, NJ 08544; and
- dLewis-Sigler Institute for Integrative Genomics, Princeton University, Princeton, NJ 08544
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Edited* by Barry H. Honig, Columbia University/Howard Hughes Medical Institute, New York, NY, and approved June 7, 2010 (received for review March 20, 2010)
Abstract
In the course of animal morphogenesis, large-scale cell movements occur, which involve the rearrangement, mutual spreading, and compartmentalization of cell populations in specific configurations. Morphogenetic cell rearrangements such as cell sorting and mutual tissue spreading have been compared with the behaviors of immiscible liquids, which they closely resemble. Based on this similarity, it has been proposed that tissues behave as liquids and possess a characteristic surface tension, which arises as a collective, macroscopic property of groups of mobile, cohering cells. But how are tissue surface tensions generated? Different theories have been proposed to explain how mesoscopic cell properties such as cell–cell adhesion and contractility of cell interfaces may underlie tissue surface tensions. Although recent work suggests that both may be contributors, an explicit model for the dependence of tissue surface tension on these mesoscopic parameters has been missing. Here we show explicitly that the ratio of adhesion to cortical tension determines tissue surface tension. Our minimal model successfully explains the available experimental data and makes predictions, based on the feedback between mechanical energy and geometry, about the shapes of aggregate surface cells, which we verify experimentally. This model indicates that there is a crossover from adhesion dominated to cortical-tension dominated behavior as a function of the ratio between these two quantities.
- differential adhesion hypothesis
- differential interfacial tension hypothesis
- mathematical modeling
- cell aggregate geometry
- self-assembly
Footnotes
- 1To whom correspondence should be addressed. E-mail: eschoetz{at}princeton.edu.
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Author contributions: M.L.M. and E.-M.S. designed research; M.L.M., R.A.F., M.S.S., and E.-M.S. performed research; M.L.M., R.A.F., and E.-M.S. analyzed data; and M.L.M., R.A.F., M.S.S., and E.-M.S. wrote the paper.
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The authors declare no conflict of interest.
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*This Direct Submission article had a prearranged editor.
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This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1003743107/-/DCSupplemental.




