Bubble model analysis on the cell formation of a green alga

Kai Zeng; Nanjun Yan; Yuandi Wang; Zhigang Zhou

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Bubble model analysis on the cell formation of a green alga

Bubble model analysis on the cell formation of a green alga

作者：

Kai Zeng Nanjun Yan Yuandi Wang Zhigang Zhou

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Green

algae

CELL

mathematical

model

BUBBLE

differential

equation

variational

principle

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.

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篇名	Bubble model analysis on the cell formation of a green alga
来源期刊	生物数学学报:英文版	学科	数学
关键词	Green algae CELL mathematical model BUBBLE differential equation variational principle
年，卷（期）	2020,（5）	所属期刊栏目
研究方向		页码范围	21-31
页数	11页	分类号	O17
字数		语种
DOI