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Solid tumor survives by the generation of micro-vessels around it. This phenomenon is known as angiogenesis. Angiogenesis is governed by two factors, namely Tumor Angiogenic Factor (TAF) secreted by the tumor cells and tissue Fibronectin (FNT) concentration in the extra-cellular space. These two factors help in mobilization of endothelial cells from nearby blood vessels. At the initial phase of angiogenesis, neighboring blood vessels affect in formation of capillary sprouts. In this work we have develop an analytical model to make a correlation between tumor system, vasculature system of the cancer milieu and peripheral blood circulatory system. This, in turn, could be an effective and clinically relevant approach for tracking the tumor growth and its angiogenesis with a quantitative manner.