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 [Formula: see text]. 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.

中文翻译：

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一种绿藻细胞形成的气泡模型分析

利用变分原理，对细胞和分裂这一由一系列主要形态进化和生物学机制产生的复杂过程进行数学模拟。具有满足单元壁边界条件的微分方程组群来自对最小总长度的分析。找到了细胞几何形成的双泡模型，并在这里研究了三泡模型的机制。一个有趣的事实是，对于双气泡和三气泡，在单元边缘的相同交叉点处任意两条切线之间的每个角度都等于 [公式：参见文本]。除了推导这些微分方程模型外，这些理论还应用于具体的实验数据分析，