(10 points) An engineer is trying to grow a piece of skin 1mm thick and 5cm5cm. As a first calculation assume that the skin cell doubling time is 48hrs, and the death rate is 4% of the living cells die per day. a. For this cell line, what is the growth rate constant? [Hint: units of hr1 ] b. What is the death rate constant? [Hint: units of hr1 ] c. Write the differential equation combining growth and death. [Hint: d( cells)/dt = ] d. Model the skin cells as 3m thick by 10m10m wide blocks, fitting snugly together. If there were 105 cells /cm2 seeded onto a very thin 5cm5cm biodegradable substrate, how many cells would there be in 1 week? e. How many days would it take to grow a skin tissue that is 1mm thick (forced upward growth, not sideways)