2. MATRIX-DIGESTING ENZYMES [14] Matrix-digesting enzymes are sometimes produced by cancer cells to digest the tissue surrounding the tumour, allowing it to grow and spread. In solid tumours, the enzymes are produced only by the cells on the surface of the tumor. Suppose the diameter, d of a spherical tumour is growing at a rate of g mm/year. Answer the following questions: (a) Using the information that the tumour diameter is growing at a rate of g mm/year, write the diameter, d of the tumor as a function of time, d (t)?[2] (b) Suppose the rate of enzyme production, P is proportional to the surface area, S of the tumor by the following equation: where k, is the proportionality constant. i. Find (Sod) (t) and interpret it.[7] ii. Find (Po Sod) (t) and interpret it.[5] P(S) = kS (2)​