美丽背后的机制：黄金比例出现在红细胞形状中
The Mechanism Behind Beauty: Golden Ratio Appears in Red Blood Cell Shape
摘要：
在过去的二十年中，在渗透压$Δp$和张应力$λ$均为零的条件下，利用Helfrich模型导出了具有负自发曲率$c_{0}$的人红细胞（RBC）的严格解（RS）。通过对红细胞形态的拟合，预测了红细胞的负黄金分割比$c_{0}R_{0}$为-1.62，其中$R_{0}$是红细胞面积相同的球体的半径。在这封信中，还发现$ρ_{max}$ / $ρ_{B}\approx$ 1.6显示出近似美丽的红细胞黄金截面，其中$ρ_{max}$是红细胞的半径，$ρ_{B}$是红细胞最大厚度处的半径。通过完整的数值计算，我们发现$c_{0}R_{0}$的负黄金比例之美背后的机制是经济的表面积和足够的变形能力之间的平衡，以通过脾脏，所谓的“体能测试”。
英文摘要：
In the past two decades, under the conditions that both the osmotic pressure $Δp$ and tensile stress $λ$ equal zero, a rigorous solution (RS) of human red blood cell (RBC) with a minus spontaneous curvature $c_{0}$ has been derived with Helfrich model. And, by fitting with observed shapes of RBC, $c_{0}R_{0}$ has been predicted to be -1.62 as minus golden ratio, where $R_{0}$ is the radius of a sphere with the same area of RBC. In this Lett., it is also found $ρ_{max}$ /$ρ_{B}\approx$ 1.6 shows a approximately beautiful golden cross section of RBC, where $ρ_{max}$ is the radius of RBC and $ρ_{B}$ is the radius at maximal thickness of RBC. With a complete numerical calculation, we find the mechanism behind the beauty that minus golden ratio of $c_{0}R_{0}$ is the balance between economical surface area and enough deformability to pass spleen, the so called "physical fitness test".
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
