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In: Advanced Math

Gompertz growth in tumors. The Gompertz model is y' = - Ay In y (A > 0), where y(t) is the mass of tumor cells at time t.


Gompertz growth in tumors. The Gompertz model is y' = - Ay In y (A > 0), where y(t) is the mass of tumor cells at time t. The model agrees well with clinical observations. The declining growth rate with increasing y > 1 corresponds to the fact that cells in the interior of a tumor may die because of insufficient oxygen and nutrients. Use the ODE to discuss the growth and decline of solutions (tumors) and to find constant solutions. Then solve the ODE.

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Expert Solution

Given that

the Gompertz model is y'=-Ay ln y(A>0)

Colby Messinger answered 2 years ago
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