Hazard function for cancer patients and cancer cell dynamics

Journal of Theoretical Biology

Volumn 258, Issue 3, 2009, Pages 437-443

  Horová, Ivana ^a   Pospíšil, Zdeněk ^a   Zelinka, Jiří ^a  

^a MASARYK UNIVERSITY   (Czech Republic)

Author keywords

Dynamic model; Hazard function; Kernel estimate; Random censorship model

Indexed keywords

ANALYTICAL METHOD; CANCER; CYTOLOGY; HEALTH IMPACT; LEAST SQUARES METHOD; NUMERICAL MODEL; PUBLIC HEALTH;

ARTICLE; CANCER CELL; CANCER PATIENT; CANCER RESEARCH; CELL POPULATION; HAZARD ASSESSMENT; KERNEL METHOD; MOLECULAR DYNAMICS; NONPARAMETRIC TEST; PRIORITY JOURNAL; SIMULATION;

BREAST NEOPLASMS; CARCINOMA; CELL PROLIFERATION; COMPUTER SIMULATION; DATABASES, FACTUAL; HUMANS; LEAST-SQUARES ANALYSIS; LIKELIHOOD FUNCTIONS; MODELS, BIOLOGICAL; NEOPLASMS; PROPORTIONAL HAZARDS MODELS;

EID: 67349281698     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2008.06.014     Document Type: Article

References (18)

1. Collett D. Modelling Survival Data in Medical Research (2003), Chapman & Hall/CRC, Boca Raton, London, New York, Washington, DC
2. Dolečková, M., Horová, I., Budíková, M., Hon, Z., 2006. Breast Carcinoma: Statistical Evaluation. In: Proceedings of XXX. BOD, 41-45 (in Czech).
3. Hougaard P. Analysis of Multivariate Data (2001), Springer, New York, Berlin, Heidelberg
4. Horová I., and Zelinka J. Kernel estimates of hazard functions for biomedical data sets. Chapter in Statistical Methods for Biostatistics and Related Fields (2007) 63-86
5. Horová I., Vieu P., and Zelinka J. Optimal choice of nonparametric estimates of a density and of its derivatives. Stat. Decision 20 (2002) 355-378
6. Horová I., Zelinka J., and Budíková M. Estimates of hazard functions for carcinoma data sets. Environmetrics 17 (2006) 239-255
7. Horová I., Pospíšil Z., and Zelinka J. Semiparametric estimation of hazard function for cancer patients. Sankhya 69 3 (2008) 494-513
8. Jiang, J., Marron, J.S., 2003. SiZer for censored density and hazard estimation, preprint.
9. Kaplan E.L., and Meier P. Nonparametric estimation from incomplete observations. J. Am. Stat. Assoc. 53 (1958) 457-481
10. Kozusko F., and Bajzer Z. Combining Gompertzian growth and cell population dynamics. Math. Biosci. 185 (2003) 153-167
11. Marron J.S., and Nolan D. Canonical kernels for density estimation. Stat. Probab. Lett. 7 (1989) 195-199
12. Müller, H.G., 1988. Nonparametric Analysis of Longitudinal Data. Lecture Notes in Statistics, vol. 46, Springer, Berlin, Heidelberg.
13. Müller H.G., and Wang J.L. Nonparametric analysis of changes in hazard rates for censored survival data: an alternative change-point models. Biometrika 77 2 (1990) 305-314
14. Pospíšil, Z., 2005. Gompertzian hazard function. In: The 4th International Conference Aplimat, Slovak University of Technology, Bratislava, pp. 341-346.
15. Soumarová R., Horová H., Růžičková J., Čoupek P., Šlampa P., Šeneklová Z., Petráková K., Budíková M., and Horová I. Local and distant failure in patients with stage I and II carcinoma of the breast treated with breast-conserving surgery and radiation therapy. Radiační Onkol. 2 1 (2002) 17-24 (in Czech, English summary)
16. Tanner M.A., and Wong W.H. Data-based nonparametric estimation of the hazard function with applications to model diagnostis and exploratory analysis. J. Am. Stat. Assoc. 79 35 (1984) 174-182
17. Therneau T.M., and Grambsch P.M. Modeling Survival Data: Extending the Cox Model (2000), Springer, New York
18. Uzunogullari U., and Wang J.L. A comparison of hazard rate estimators for left truncated and right censored data. Biometrika 79 2 (1992) 297-310