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1. The Gompertz model is y' = -Aylny (A > 0), where y(t) is the mass of tumor cells at time t. The model agrees well wit
Posted: Tue Sep 07, 2021 7:31 am
by answerhappygod
- 1 The Gompertz Model Is Y Aylny A 0 Where Y T Is The Mass Of Tumor Cells At Time T The Model Agrees Well Wit 1 (27.66 KiB) Viewed 71 times
1. The Gompertz model is y' = -Aylny (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 dicline of
solutions (tumors) and to find constant
solutions. Then solve ODE. (An equivalent form to this model is r' = Aln()r. We would get the model in this problem by substitution y=)