圆柱体型细胞加固的数学模型及应用  

Mathematical Model of Cylindrical Cells Reinforcement and Its Application

作　　者：杨燕新[1,2] 李红波[3] 王文斌[4] 

机构地区：[1]山西农业大学文理学院,山西太谷030801 [2]首都师范大学数学科学学院,北京100048 [3]山西农业大学工学院,山西太谷030801 [4]山西农业大学生命科学学院,山西太谷030801

出　　处：《山西农业科学》2015年第6期769-772,共4页Journal of Shanxi Agricultural Sciences

基　　金：人力资源和社会保障部留学回国人员科技活动择优资助项目;山西农业大学引进人才科研启动项目(XB2009002)

摘　　要：通过抽象和概括维管束型植物的细胞次生壁结构,将细胞壁结构看作圆柱体形状,将细胞壁的加厚作为圆柱体侧壁的加固。讨论了圆柱体内最大应力在不同范围内时,对应侧壁不同的加固方式,并建立了相应侧壁加固的数学模型,最后从数学模型上,对竹子细胞次生壁上微纤丝角的规律出现做出了定量的、合理的解释。The paper visualizes and summarizes the plant cell secondary wall structure of the vascular plants. Considering the cell wall structure as cylinder shape and taking the cell wall thickening as the reinforcement of the cylinder side wall, then discusses the reinforcement＇s different way of the corresponding side wall while the maximum stress is under different range. At the same time, the mathematical models of them are set up. Final, it makes a quantitative and reasonable explanation of the regular appearance of the bamboo cell secondary wall mierofibrillar angle adopting the mathematical model.

关 键 词：细胞 次生壁 加固 数学模型 应力 

分 类 号：Q-332[生物学]