?A model for tumor growth is given by the Gompertz equation$$\frac{d V}{d t}=a(\ln b-\ln
Chapter 8, Problem 54(choose chapter or problem)
A model for tumor growth is given by the Gompertz equation
$$\frac{d V}{d t}=a(\ln b-\ln V) V$$
where \({a}\) and \({b}\) are positive constants and \({V}\) is the volume of the tumor measured in .
(a) Find a family of solutions for tumor volume as a function of time.
(b) Find the solution that has an initial tumor volume of \(V(0)=1 \quad {mm}^{3}\).
Equation Transcription:
= a(ln b - ln V)V
a
b
V
mm3
V(0) = 1 mm3
Text Transcription:
dV/dt = a(ln b - ln V)V
a
b
V
mm^3
V(0) = 1 mm^3
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