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[4] 5. Individual cancer cells have been observed to split into as many as 5 cells during one round of cell division. Assume a cancer

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[4] 5. Individual cancer cells have been observed to split into as many as 5 cells during one round of cell division. Assume a cancer cell can complete the cell cycle in 18 hours. [2] (a) Suppose that No cancer cells are present in a tumor. Assuming that one round of cell division can produce anywhere between two and five daughter cells and that the cell count can be modelled as a exponential function of the form N(t) = Ae, what is the minimum number of cells expected after 3 days? What is the maximum? [2] (b) If the number of daughter cells per cell division is a fixed constant b (for some 2

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