Mechanism behind the Beauty: The Golden Ratio Appeared in the Shape Red Blood Cells

doi:http://dx.doi.org/10.4208/cicp.OA-2016-0205

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	Mechanism behind the Beauty: The Golden Ratio Appeared in the Shape Red Blood Cells
	Zhang, XJ; Ou-Yang, ZC; Zhang, XJ (reprint author), Chinese Acad Sci, CAS Key Lab Theoret Phys, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
刊名	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
	2017
卷号	21 期号:2 页码:559-569
关键词	Red Blood Cell Golden Ratio
DOI	http://dx.doi.org/10.4208/cicp.OA-2016-0205
英文摘要	In the past two decades, a rigorous solution for the shape of human red blood cell (RBC) with a negative spontaneous curvature c(0) has been derived with the Helfrich model under the condition that both the osmotic pressure Delta p and tensile stress lambda are equal to zero. By fitting the experimentally observed shape of RBC, c(0)R(0) has been predicted to be -1.62, the minus golden ratio, where R-0 is the radius of a sphere which has the same surface area as RBC. In this paper, we verify this prediction by comparing experimental data with an analytical equation describing the relation between volume and surface area. Furthermore, it is also found rho max / rho B approximate to 1.6 with rho max the maximal radius and rho B the characteristic radius of RBC, showing an approximate beautiful golden cross section of RBC. On the basis of a complete numerical calculation, we propose a mechanism behind the beauty of the minus golden ratio that c(0)R(0) results from the balance between the minimization of the surface area and the requirement of adequate deformability of RBC to allow it passing through the spleen, the so called "physical fitness test".
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/22137]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Zhang, XJ (reprint author), Chinese Acad Sci, CAS Key Lab Theoret Phys, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
推荐引用方式 GB/T 7714	Zhang, XJ,Ou-Yang, ZC,Zhang, XJ . Mechanism behind the Beauty: The Golden Ratio Appeared in the Shape Red Blood Cells[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2017,21(2):559-569.
APA	Zhang, XJ,Ou-Yang, ZC,&Zhang, XJ .(2017).Mechanism behind the Beauty: The Golden Ratio Appeared in the Shape Red Blood Cells.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,21(2),559-569.
MLA	Zhang, XJ,et al."Mechanism behind the Beauty: The Golden Ratio Appeared in the Shape Red Blood Cells".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 21.2(2017):559-569.