Let N(t) be the size of a tumor (in units of 106 cells) at time t (in
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Let N(t) be the size of a tumor (in units of 106 cells) at time t (in days). According to the Gompertz Model, dN/dt = N(a − b ln N), where a, b are positive constants. Show that the maximum value of N is ea/b and that the tumor increases most rapidly when N = ea/b−1.
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Given dNdt Na b ln N the critical points of N occur when N 0 and when N e ab The sign o...View the full answer
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