Red blood cells are known to change shape in response to local flow co
nditions. Deformability affects red blood cell physiological function
and the hydrodynamic properties of blood. The immersed boundary method
is used to simulate three-dimensional membrane-fluid how interactions
for cells with the same internal and external fluid viscosities. The
method has been validated for small deformations of an initially spher
ical capsule in simple shear flow for both neo-Hookean and the Evans-S
kalak membrane models. Initially oblate spheroidal capsules are simula
ted and it is shown that the red blood cell membrane exhibits asymptot
ic behavior as the ratio of the dilation modulus to the extensional mo
dulus is increased and a good approximation of local area conservation
is obtained. Tank treading behavior is observed and its period calcul
ated. (C) 1998 American Institute of Physics.