Inferring the effect of therapy on tumors showing stochastic Gompertzian growth

Giuseppina Albano (1) , Virginia Giorno (2) , Patricia Román-Román (3) , Francisco Torres-Ruiz (3)

1 UNISA - Università degli Studi di Salerno = University of Salerno
2 Dipartimento di Informatica [Fisciano]
3 Departamento de Estadistica e Investigacion Operativa

The present work deals with a Gompertz-type diffusion process, which includes in the drift term a time-dependent function C(t) representing the effect of a therapy able to modify the dynamics of the underlying process. However, in experimental studies is not immediate to deduce the functional form of C(t) from a treatment protocol. So a statistical approach is proposed in order to estimate this function, when a control group and one or more treated groups are observed. In order to validate the proposed strategy a simulation study for several interesting functional forms of C(t) has been carried out. Finally, an application to infer the net effect of cisplatine and doxorubicin+ cyclophosphamide in actual murine models is presented.

Mots clés: Gompertz diffusion process; Therapy; Tumor growth

Domaines: Sciences du Vivant [q-bio]

Giuseppina Albano, Virginia Giorno, Patricia Román-Román, Francisco Torres-Ruiz. Inferring the effect of therapy on tumors showing stochastic Gompertzian growth. Journal of Theoretical Biology, 2011, 276 (1), pp.67. ⟨10.1016/j.jtbi.2011.01.040⟩. ⟨hal-00682407⟩