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Abstract This paper considers the hydrodynamics of low Reynolds number shape fluctuations of incompressible fluid cells with incompressible membrane boundaries. It is assumed that the membrane can be characterized by a shear modulus μ, a bending modulus kc , an intrinsic mean curvature Co , and a surface viscosity ηM. The problem is formulated for the general case, and is solved analytically in the spherical limit. The observable hydrodynamics is found to depend sensitively on membrane parameters, and in particular a marked difference between solid and fluid behaviour is apparent.
Mark Peterson (Wed,) studied this question.