Hazard function for cancer patients and cancer cell dynamics
| Authors | |
|---|---|
| Year of publication | 2009 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Theoretical Biology |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6WMD-4SV5VBY-1&_user=835458&_coverDate=06%2F07%2F2009&_rdoc=13&_fmt=high&_orig=browse&_srch=doc-info(%23toc%236932%232009%23997419996%231089098%23FLA%23display%23Volume)&_cdi=6932&_sort=d&_docanch |
| Field | Applied statistics, operation research |
| Keywords | Random censorship model; Hazard function; Dynamic model; Kernel estimate |
| Description | 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. |
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