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Updated: May 14, 2026

Precise, High-throughput Analysis of Bacterial Growth
Published on: September 19, 2017
On the effect of a therapy able to modify both the growth rates in a Gompertz stochastic model
Giuseppina Albano1, Virginia Giorno, Patricia Román-Román
1Dip. di Scienze Economiche e Statistiche, Università di Salerno, Italy. pialbano@unisa.it
Abstract:
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.
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