A tumor may be regarded as a population of multiplying cells. It is found empirically that the "birth rate" of the cells in a tumor decreases exponentially with time, so that B(1) = Boe-at (where a and Bo are positive constants), and hence dP = Boe-at P, P(0) = Po. dt Solve this initial value problem for P(t) = Po exp ( (1 –ea"). Observe that P(t) approaches the finite limiting popula- tion Po exp (Bo/a) as t → +o.

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