| HOROVÁ, Ivanka, Zdeněk POSPÍŠIL and Jiří ZELINKA. Hazard function for cancer patients and cancer cell dynamics. Journal of Theoretical Biology. Elsevier, 2009, vol. 258, No 3, p. 437-443. ISSN 0022-5193. |
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@article{807047,
author = {Horová, Ivanka and Pospíšil, Zdeněk and Zelinka, Jiří},
article_number = {3},
keywords = {Random censorship model; Hazard function; Dynamic model; Kernel estimate},
language = {eng},
issn = {0022-5193},
journal = {Journal of Theoretical Biology},
title = {Hazard function for cancer patients and cancer cell dynamics},
url = {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},
volume = {258},
year = {2009}
}
TY - JOUR
ID - 807047
AU - Horová, Ivanka - Pospíšil, Zdeněk - Zelinka, Jiří
PY - 2009
TI - Hazard function for cancer patients and cancer cell dynamics
JF - Journal of Theoretical Biology
VL - 258
IS - 3
SP - 437-443
EP - 437-443
PB - Elsevier
SN - 00225193
KW - Random censorship model
KW - Hazard function
KW - Dynamic model
KW - Kernel estimate
UR - 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
N2 - 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.
ER -
HOROVÁ, Ivanka, Zdeněk POSPÍŠIL and Jiří ZELINKA. Hazard function for cancer patients and cancer cell dynamics. \textit{Journal of Theoretical Biology}. Elsevier, 2009, vol.~258, No~3, p.~437-443. ISSN~0022-5193.
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