title: An Improved Model of Nonuniform Coleochaete Cell Division.
abstract: Cell division is a key biological process in which cells divide forming new daughter cells. In the present study, we investigate continuously how a Coleochaete cell divides by introducing a modified differential equation model in parametric equation form. We discuss both the influence of "dead" cells and the effects of various end-points on the formation of the new cells' boundaries. We find that the boundary condition on the free end-point is different from that on the fixed end-point; the former has a direction perpendicular to the surface. It is also shown that the outer boundaries of new cells are arc-shaped. The numerical experiments and theoretical analyses for this model to construct the outer boundary are given.
authors.affiliation: Department of Mathematics, Shanghai University , Shanghai, China .
authors.forename: Yuandi
authors.initials: Y
authors.lastname: Wang
authors.affiliation: Department of Mathematics, Shanghai University , Shanghai, China .
authors.forename: Jinyu
authors.initials: J
authors.lastname: Cong
mesh_terms: D002455:Cell Division; D003198:Computer Simulation; D008954:Models, Biological; D057949:Streptophyta / Q000166:cytology*
keywords: cell division; differential equation; mathematical model