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A topological exchange model for cell self-sorting Export

Journal of Theoretical Biology, Vol. 76, No. 4. (21 February 1979), pp. 403-414.

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representation tissue

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A new model of cell sorting based on a geometric representation (trivalent map) and its associated structure (triangulated graph) is presented. This model varies substantially from existing mathematical models in that individual cells are represented by variable n-gons, n [greater-or-equal, slanted] 3, whereas in current models cells are considered to be fixed (non-deformable) geometric, i.e. hexagonal or square objects. An exchange mechanism which operates on this graph is investigated and possible drivers are discussed.


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