- 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 66 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 wit
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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
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=)