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As an effective method to deliver external materials into biological cells,microinjection has been widely applied in the biomedical field. However, thecognition of cell mechanical property is still inadequate, which greatly limitsthe efficiency and success rate of injection. Thus, a new rate-dependentmechanical model based on membrane theory is proposed for the first time. Inthis model, an analytical equilibrium equation between the injection force andcell deformation is established by considering the speed effect ofmicroinjection. Different from the traditional membrane-theory-based model, theelastic coefficient of the constitutive material in the proposed model ismodified as a function of the injection velocity and acceleration, effectivelysimulating the influence of speeds on the mechanical responses and providing amore generalized and practical model. Using this model, other mechanicalresponses at different speeds can be also accurately predicted, including thedistribution of membrane tension and stress and the deformed shape. To verifythe validity of the model, numerical simulations and experiments are carriedout. The results show that the proposed model can match the real mechanicalresponses well at different injection speeds.

Cell Biomechanical Modeling Based on Membrane Theory with Considering Speed Effect of Microinjection