In order to consider the effect of membrane fluidity upon the mechanical property of biological cell suspensions, we have calculated the complex intrinsic viscosity
of spherical shell structures with material incompressibility in suspension as a function of the dimensionless frequency
together with the parameters of
,
,
,
, where a is the radius of the cell, d is the width of the membrane, η, ηm, and
are the viscosities of the medium, of the membrane and of the internal region of the cell, γ and
the surface tensions at the outer and the inner side of the membrane respectively, and w the angular frequency. The result is simply represented by two dispersions as follows:
. Here i is the imaginary unit,
,
,
,
,
and
.
