title: Hazard function for cancer patients and cancer cell dynamics.
abstract: The aim of the paper is to develop a procedure for an estimate of an analytical form of a hazard function for cancer patients. Although a deterministic approach based on cancer cell population dynamics yields the analytical expression, it depends on several parameters which should be estimated. On the other hand, a kernel estimate is an effective nonparametric method for estimating hazard functions. This method provides the pointwise estimate of the hazard function. Our procedure consists of two steps: in the first step we find the kernel estimate of the hazard function and in the second step the parameters in the deterministic model are obtained by the least squares method. A simulation study with different types of censorship is carried out and the developed procedure is applied to real data.
authors.affiliation: Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Kotlarska 2, CZ-61137 Brno, Czech Republic. horova@math.muni.cz
authors.forename: Ivana
authors.initials: I
authors.lastname: Horová
authors.forename: Zdenek
authors.initials: Z
authors.lastname: Pospísil
authors.forename: Jirí
authors.initials: J
authors.lastname: Zelinka
mesh_terms: D001943:Breast Neoplasms / Q000401:mortality / Q000473:pathology / Q000628:therapy; D002277:Carcinoma / Q000401:mortality / Q000473:pathology / Q000628:therapy; D049109:Cell Proliferation; D003198:Computer Simulation; D016208:Databases, Factual; D006801:Humans; D016018:Least-Squares Analysis; D016013:Likelihood Functions; D008954:Models, Biological; D009369:Neoplasms / Q000401:mortality* / Q000473:pathology* / Q000628:therapy; D016016:Proportional Hazards Models