Prediction of Phagocyte Transmigration for Foreign Body Responses to Subcutaneous Biomaterial Implantations Using Differential Transform Method

Abstract

The complexity of the multiple interactive reactions of various cells/proteins and biochemical processes during phagocyte transmigration for foreign body responses to subcutaneous biomaterial implants have been studied through developed kinetics-based predictive models which have been numerically analyzed. However, the need for direct relationship between the kinetic-based predictive models parameters and the requirements for continuous insights into the significance of various process parameters affecting the phenomena have led to the quest for developing analytical solutions. Therefore, in this work, differential transform method is used to develop analytical solutions for the prediction of phagocyte transmigration for foreign body responses to subcutaneous biomaterial implants. The approximate analytical solutions are used to study the effect of various model parameters on phagocyte transmigration to foreign body responses in biomaterial implantation. The results of the analytical solutions are agreement with the results of the previous studies.