Effects of shock waves on living tissue cells and its deformation process using a mathematical model

In this study, damage of living: tissue cells. (red blood cells and cancer cells) and experimental cell models (microcapsules) by plane shock waves is carried out experimentally. In addition, the effects of physical condition on the degree of damage are evaluated by constructing:an appropriate mathe matical model. To explain these phenomena, the red blood cells and the micr ocapsules are modeled mathematically as two spherical elastic shells filled with liquid. The fundamental equations express the oscillation of the sphe rical elastic shell in response to the incident pressure wave in the surrou nding fluid. Frequency responses of the elastic shell model of two living t issue cells with mutual interaction in water are analyzed. From the results of this analysis, the effects of (1) the risetime of shock waves, (2) the distance between cells on shock-induced damage, (3) the concentration of su spended cells and (4) the incidence angle of shock waves are discussed. It is found that effects of these parameters are large in certain cases.