Linear instability analysis and mechanical interfacial tension

Based on results from linear hydrodynamic analysis, a study about the influence of mechanical contribution to the interfacial tension on the mechanical stability was performed for an erythrocyte membrane model. This analysis gave the characteristic dispersion equation by solving the linearized dynamic equations. Values of the parameters related to the erythrocyte membrane were used to obtain the critical stability curves as a function of mechanical interfacial tension. The numerical values from this study were applied to calculate probable values of the total interfacial tension (sum of electrical and mechanical contributions) and the results were compared with values from literature. According to this model, the mechanical stability of membrane increases with the increasing of the mechanical surface tension. The values suggested by hydrodynamic analysis for probable values of the interfacial tension of erythrocyte membrane were among the values pointed out in the literature.