The viscoelasticity of dispersions of spherical cells with an anisotropic membrane 1

Abstract

The rigidity of a dilutely dispersed system of spherical particles having an elastically anisotropic shell is theoretically obtained in the case of material incompressibility. Considering characteristics of biological cells the complex intrinsic viscosity [ ${\mathit{\eta }}^{\ast }$ ] of this system is numerically calculated in the case that the medium and the inside region of the shell contain viscous liquids and the shell region is made of an elastic substance. In [ ${\mathit{\eta }}^{\ast }$ ] vs. frequency curves anomalies occur at some range of anisotropic parameters. This anomaly may be called a negative relaxation, when the relaxation strength takes a negative value.