HOROVÁ, Ivanka, Zdeněk POSPÍŠIL a Jiří ZELINKA. Hazard function for cancer patients and cancer cell dynamics. Journal of Theoretical Biology. Elsevier, 2009, roč. 258, č. 3, s. 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 a Jiří ZELINKA. Hazard function for cancer patients and cancer cell dynamics. \textit{Journal of Theoretical Biology}. Elsevier, 2009, roč.~258, č.~3, s.~437-443. ISSN~0022-5193.
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