A Layered Model for the Growth of Solid Tumors in Vascular Phase
We divide a solid tumor in vascular phase into a vascular layer, an oxygen-diffusion layer, an oxygen-resistant layer and a necrotic layer outside-to-inside, and have constructed a layered model for tumor growth. The actual growth curves of the tumors have been obtained by using different invasion speeds of the vascular layer. The simulative calculation results indicate that the angiogenesis rate is positively correlated with malignant degree of the tumors, if the tumors enter vascular phase, survival time of tumor patients is about 1-4 years, but the tumor patients without angiogenesis can live with tumor.
Long Chen, Yongkang Zhang, Aixing Feng, Zhenying Xu, Boquan Li and Han Shen
K. H. Zhan et al., "A Layered Model for the Growth of Solid Tumors in Vascular Phase", Applied Mechanics and Materials, Vol. 43, pp. 736-739, 2011