Numerical Study Of Tumor Blood Perfusion And Oxygen Concentration Of Anti-angiogenic Drug Action

Tumor, which kills average 7 million people per year, is one of the most fatal diseases. Anti-angiogenesis therapy is a new strategy established by Professor Folkman.It aims to inhibit biochemical target of tumor vessel growth using anti-angiogenesis factor. By reducing the number of growing and transporting vessel endothelial cells, anti-genesis therapy could inhibit the growth of tumor vessel, and restrict the growth of tumor. This article uses mathematical simulation method to study the tumor hemodynamics and oxygen distribution under the anti-angiogenesis drug-Endostatin. Through the discussion about the change of micro-environment considering the effect of 'vascular normalization', we bring some theoretical evidence and information for tumor clinical research.Results and Conclusion1.Numerical simulation of tumor oxygen concentrationBased on the vessel lattice generated by numerical model, we calculated the distribution of oxygen concentration.We consider oxygen diffusion from around tissue and oxygen transportation from mother vessel to tumor area. Meanwhile, we consider the change of hametocritic caused by brush phenomenon during tumor growth and the reduced vascular oxygen transporting ability caused by vessel catabolism.The simulation results show the existence of hypoxia in tumor area.2.Numerical simulation of tumor hemodynamics under anti-angiogenesis drugs-EndostatinBased on the tumor vessel lattice generated by numerical model under anti-angiogenesis drug, we calculated new tumor hemodynamics.According to clinical research on Endostatin, we establish three possible assumptions on vessel permeability, and then analyzes the influence of permeability on tumor hemodynamics.The results show that Endostatin could release the high pressure gradient inside tumor. And during the vascular normalization stage, direction of pressure gradient turns to tumor in certain tissue area. And this environment would benefit drug transportation of tumor therapy.3.Oxygen concentration under anti-angiogenesis drug-EndostatinBased on the tumor hemodynamics simulation under anti-angiogenesis drug, we calculate the distribution of tumor oxygen concentration. After the injection of anti-angiogenesis drug, oxygen concentrated in the center of tumor before and after the normalization stage.And oxygen concentration reaches a highest point in the edge of tumor where full of vessels.Innovations of this article:1.Traditional tumor oxygen calculation mostly focus on hexagon lattice.And our study is based on tumor lattice which generated by random work model and owns more physiological information. Though our model caused more complicated calculation, we get credible result.2.During the hemodynamics simulation, we bring about experimental research on anti-angiogenesis such as Endostatin and VEGF.We establish three possible assumptions on permeability and discuss the influence of interstitial pressure. Furthermore, we consider the possibility of combination therapy during the vessel normalization stage.3.We calculate the oxygen concentration under anti-angiogenesis drug injection and discuss the change of oxygen concentration and its reason in and out the stage of vessel normalization.All studies above haven't been reported yet.