Certain biomembrane shapes like cylinders, spheres, tori, biconcave discoids, and Delaunay surfaces form a geometric group independent of the specific biomembrane equation when pressure, tension, and bending moduli meet particular conditions.
This solution is not a numerical approximation but a closed-form mathematical function: sinψ=C 0ρln(ρ/ρ B),(28) whereC 0 <0 for bioconcave shape of RBC
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Liquid Crystal Theory of Biomembranes
Certain biomembrane shapes like cylinders, spheres, tori, biconcave discoids, and Delaunay surfaces form a geometric group independent of the specific biomembrane equation when pressure, tension, and bending moduli meet particular conditions.