On the effect of a therapy able to modify both the growth rates in a Gompertz stochastic model.
A Gompertz-type diffusion process characterized by the presence of exogenous factors in the drift term is considered. Such a process is able to describe the dynamics of populations in which both the intrinsic rates are modified by means of time-dependent terms. In order to quantify the effect of such terms the evaluation of the relative entropy is made. The first passage time problem through suitable boundaries is studied. Moreover, some simulation results are shown in order to capture the dependence of the involved functions on the parameters. Finally, an application to tumor growth is presented and simulation results are shown.
Dip. di Scienze Economiche e Statistiche, Università di Salerno, Italy. pialbano@unisa.it
Giuseppina
G
Albano
Virginia
V
Giorno
Patricia
P
Román-Román
Francisco
F
Torres-Ruiz
D000465:Algorithms; D016923:Cell Death; D003198:Computer Simulation; D006801:Humans; D055641:Mathematical Concepts; D008954:Models, Biological; D009369:Neoplasms / Q000473:pathology* / Q000628:therapy*; D013269:Stochastic Processes
First passage time; Non homogeneous Gompertz process; Relative entropy