Hazard function for cancer patients and cancer cell dynamics
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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.
- MeSH
- biologické modely MeSH
- databáze faktografické MeSH
- karcinom mortalita patologie terapie MeSH
- lidé MeSH
- metoda nejmenších čtverců MeSH
- nádory prsu mortalita patologie terapie MeSH
- nádory mortalita patologie terapie MeSH
- počítačová simulace * MeSH
- pravděpodobnostní funkce MeSH
- proliferace buněk MeSH
- proporcionální rizikové modely * MeSH
- Check Tag
- lidé MeSH
- Publikační typ
- časopisecké články MeSH
- práce podpořená grantem MeSH