Red Blood Cells as Elastic Surfaces
Eugenio Aulisa, Stone Fields, Magdalena Toda
TL;DR
This paper models red blood cell shapes as elastic surfaces using the Helfrich-Canham functional, analyzing specific geometric forms and their suitability as shape approximations.
Contribution
It demonstrates that Cassinian ovals generally do not satisfy the RBC shape equation, providing insights into shape modeling limitations.
Findings
Cassinian ovals do not solve the RBC shape equation
The sphere is the only limiting case that does
Conditions for effective shape approximation are discussed
Abstract
We study red blood cells using the Helfrich-Canham functional: due to their lipid bilayer structure, RBCs are naturally modeled using the theory of elastic surfaces. In this study, we demonstrate that Cassinian ovals, except for the limiting case of the round sphere, do not solve the shape equation. We further discuss conditions under which they may serve as effective approximations.
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