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r and nutrient distributions pete to control the tumor cell proliferation and therefore ultimately the size of the tumor. ? The predicted spatially heterogeneous steadystates of these two chemicals correspond to observed regions of cellular heterogeneity in actual solid tumors. A tumor growth model (continued) ? Use Turing’ s prepattern theory to study the growth and invasion of tumors ? Experimental results have demonstrated that tumor cells secrete both growth inhibiting and growthactivating chemicals in an autocrine manner and that the balance and interaction between these factors play an important role in the development and progression of tumors. A tumor growth model (continued) ? System of reactiondiffusion equations on the surface of a sphere u: concentration of growthpromoting factor v: concentration of growthinhibiting factor A tumor growth model (continued) Protein‐ Protein Interaction Network: ?Metabolic insulin signaling pathways models Definition of Variables Mathematical Formulation Working Plan ? Seminars ? Workshops ? Focus problems ? Regular seminars 謝謝觀看 /歡迎下載 BY FAITH I MEAN A VISION OF GOOD ONE CHERISHES AND THE ENTHUSIASM THAT PUSHES ONE TO SEEK ITS FULFILLMENT REGARDLESS OF OBSTACLES. BY FAITH I BY FAITH