Stochastic Nonlinear Gompertz Model of Tumour Growth

In this communication, based upon the deterministic Gompertz growth law. a stochastic nonlinear model of tumour growth is proposed to model the conventional size-dependent therapy strategy of tumours. The probability density function of the size of the tumour obeys a nonlinear Fokker-Planck equation which can be solved analytically. It is found that during the cancer treatments the dose intensity should not be decreased at. ally time because this will allow the tumour to relapse, and that tire late logarithmic intensification therapy could be the optimal therapeutic strategy.