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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.
Mechanism behind the Beauty: The Golden Ratio Appeared in the Shape Red Blood Cells
Source PublicationCOMMUNICATIONS IN COMPUTATIONAL PHYSICS
Language英语
KeywordRed Blood Cell Golden Ratio
AbstractIn 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".
2017
Volume21Issue:2Pages:559-569
Subject AreaPhysics
DOIhttp://dx.doi.org/10.4208/cicp.OA-2016-0205
Funding OrganizationNational Basic Research Program of China (973 program) [2013CB932803] ; National Basic Research Program of China (973 program) [2013CB932803] ; National Basic Research Program of China (973 program) [2013CB932803] ; National Basic Research Program of China (973 program) [2013CB932803] ; Joint NSFC-ISF Research Program ; Joint NSFC-ISF Research Program ; Joint NSFC-ISF Research Program ; Joint NSFC-ISF Research Program ; Israel Science Foundation [51561145002] ; Israel Science Foundation [51561145002] ; Israel Science Foundation [51561145002] ; Israel Science Foundation [51561145002] ; National Natural Science Foundation of China [51561145002] ; National Natural Science Foundation of China [51561145002] ; National Natural Science Foundation of China [51561145002] ; National Natural Science Foundation of China [51561145002]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22137
CollectionSCI期刊论文
Corresponding AuthorZhang, XJ (reprint author), Chinese Acad Sci, CAS Key Lab Theoret Phys, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Recommended Citation
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.
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