1 research outputs found
On the first exit time problem for a Gompertz-type tumor growth
A stochastic model describing tumor growth based on
Gompertz law is considered. We pay attention on the tumor size at time
detection. We assume the initial state as a random variable since it may
suffer from errors due to measurement and diagnostics. The aim of the
present work is to study the first exit time problem for the resulting
stochastic process. A numerical analysis is also performed for particular
choices of the initial distribution