摘要
Mathematical simulation for cell and division,a complex process resulting from a series of major morphological evolution and biological mechanisms,is shown by using variational principle.Groups of differential equation systems with boundary conditions for the cell walls satisfying come out from analysis on minimally total length.Double bubble model for cell geometric formation is found and a mechanism for tri-bubble model is also investigated here.An interesting fact is that every angle between any two tangent lines at the same intersections of cell edges for both double bubble and tri-bubble is equal to 27r/3.In addition to the derivation of these differential equation models,these theories are also applied to the specific experimental data analysis,and it is found that the model is very consistent with the experimental results.
基金
This work is partly supported by Shanghai University Fund (D.72-0101-00-013)
The authors thank Prof. Jian Li in the department of Chemistry, Shangliai Universityfor his help in experimental preparation.
