Description of cellular patterns by Dirichlet domains: The two-dimensional case Export

@article{Honda1978doc, abstract = {An attempt was made to describe cellular patterns by Dirichlet domains, that are convex polygons which cover a plane without leaving any gaps or overlaps and can be simply determined by a small number of parameters. In order to examine the accuracy of the description, the deviation value was defined. Dirichlet domains were shown to describe some cellular patterns (cultured monolayer cells, epithelial cells in tissue, etc.) with relatively small deviation values. Dirichlet domains were also used for simulation of an experiment in which contiguous cells migrated to fill a space after removal of a single cell in an epithelial sheet.}, author = {Honda, Hisao}, citeulike-article-id = {833578}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/0022-5193(78)90315-6}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6WMD-4F1SV94-1RF/2/da69faa78cd9665af1b8256db75d5909}, day = {6}, doi = {10.1016/0022-5193(78)90315-6}, journal = {Journal of Theoretical Biology}, keywords = {cells, dirichlet\_domains, tissue\_modelling}, month = {June}, number = {3}, pages = {523--543}, posted-at = {2006-09-07 12:42:57}, priority = {2}, title = {Description of cellular patterns by Dirichlet domains: The two-dimensional case}, url = {http://dx.doi.org/10.1016/0022-5193(78)90315-6}, volume = {72}, year = {1978} }

TY - JOUR ID - Honda1978doc L3 - citeulike-article-id:833578 N2 - An attempt was made to describe cellular patterns by Dirichlet domains, that are convex polygons which cover a plane without leaving any gaps or overlaps and can be simply determined by a small number of parameters. In order to examine the accuracy of the description, the deviation value was defined. Dirichlet domains were shown to describe some cellular patterns (cultured monolayer cells, epithelial cells in tissue, etc.) with relatively small deviation values. Dirichlet domains were also used for simulation of an experiment in which contiguous cells migrated to fill a space after removal of a single cell in an epithelial sheet. IS - 3 JF - Journal of Theoretical Biology EP - 543 TI - Description of cellular patterns by Dirichlet domains: The two-dimensional case VL - 72 SP - 523 KW - cells KW - dirichlet_domains KW - tissue_modelling AU - Honda, Hisao PY - 1978/06/06/ UR - http://dx.doi.org/10.1016/0022-5193(78)90315-6 ER -