Hazard function for cancer patients and cancer cell dynamics

JOURNAL OF THEORETICAL BIOLOGY

卷:258

Article; Proceedings Paper

Horova, Ivana¹  Pospisil, Zdenek¹  Zelinka, Jiri¹ 

[1] Masaryk Univ, Fac Sci, Dept Math & Stat, CZ-61137 Brno, Czech Republic

关键词: Random censorship model;    Hazard function;    Dynamic model;    Kernel estimate;   

DOI  :  10.1016/j.jtbi.2008.06.014

来源: Elsevier

【 摘 要 】

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. (C) 2008 Elsevier Ltd. All rights reserved.

【 授权许可】

Free