The following question consider the Gompertz equation, a modification for logistic growth, which is often used for modeling cancer growth

Maiclubk

Maiclubk

Answered question

2021-09-22

The following question consider the Gompertz equation, a modification for logistic growth, which is often used for modeling cancer growth, specifically the number of tumor cells. [T] The Gompertz equation has been used to model tumor growth in the human body. Starting from one tumor cell on day 1 and assuming \(α=0.1\) and a carrying capacity of 10 million cells, how long does it take to reach “detection” stage at 5 million cells?

Answer & Explanation

Tasneem Almond

Tasneem Almond

Skilled2021-09-23Added 91 answers

Octave code
syms P0 k t a.P=k(P0k)eat.vpa(solve(s(P,[P0ka],[11070.1])=5106,t))
The result is
31.464555148849334319210049495334

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