Abstract

Tumor angiogenesis is a process of growing new blood vessels from existing ones. The process of inhibiting tumor angiogenesis is anti-angiogenesis. There is a high incidence of Cluster of Differentiation 147 (CD147) on tumor surfaces and this is an important contributing factor to drive tumor angiogenesis. In this paper, mathematical models of anti-angiogenesis are presented which inculcates injecting a generalized anti-CD147 drug into the tumor tissue. Equations relating to the concentrations of Endothelial Cells (ECs), Tumor Angiogenesis Factors (TAFs), Fibronectin, Matrix Metallo Proteinases (MMPs), CD147, anti-CD147 drug and tumor cells are modeled as Partial Differential Equations (PDEs). The drug-receptor binding kinetics are considered in the model. Different drug dose options are also examined. The effect of the drug on EC migration are presented. The simulations are performed using COMSOL Multiphysics 5.4 software and a particular anti-CD147 drug is used for the simulations. The results indicate that the anti-CD147 drug considered in the simulations, help in slowing down the angiogenesis process with sufficient drug dose conditions as expected. Under specific conditions, these results agree well with the existing theoretical and experimental results. Further, it is seen that the application of the drug on EC migration effectively curbs the angiogenesis process.