title: Inferring the effect of therapy on tumors showing stochastic Gompertzian growth.
abstract: 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 cisplatin and doxorubicin+cyclophosphamide in actual murine models is presented.
authors.affiliation: Dipartimento di Scienze Economiche e Statistiche, Università di Salerno, Fisciano(Sa), Italy.
authors.forename: Giuseppina
authors.initials: G
authors.lastname: Albano
authors.forename: Virginia
authors.initials: V
authors.lastname: Giorno
authors.forename: Patricia
authors.initials: P
authors.lastname: Román-Román
authors.forename: Francisco
authors.initials: F
authors.lastname: Torres-Ruiz
mesh_terms: D000818:Animals; D049109:Cell Proliferation / Q000187:drug effects; D002945:Cisplatin / Q000494:pharmacology / Q000627:therapeutic use; D003198:Computer Simulation; D003520:Cyclophosphamide / Q000494:pharmacology / Q000627:therapeutic use; D004317:Doxorubicin / Q000494:pharmacology / Q000627:therapeutic use; D051379:Mice; D008954:Models, Biological; D009369:Neoplasms / Q000188:drug therapy* / Q000473:pathology*; D013269:Stochastic Processes
chemical_list: D004317:Doxorubicin; D003520:Cyclophosphamide; D002945:Cisplatin