Hazard function for cancer patients and cancer cell dynamics

Abstract

Abstract. 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 of hazard functions. This method provides the pointwise estimate of the hazard function. Our procedure consists in 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.

Effects of cathepsin K on Emdogain-induced hard tissue formation by human periodontal ligament stem cells

“…The in vitro results of the latter study were in accord with the findings presented herein. Furthermore, cell morphology changes always indicate functional changes (Deegan et al ., ), and these changes are associated with extracellular matrix‐mediated cell dynamics (Horova et al ., ; Kirkland and Dobson, ). As mentioned earlier, CTSK actively regulates the extracellular matrix (Lutgens et al ., ; Ishida and Okabe, ) and is involved in altering cell/molecular dynamics (Ma et al ., ).…”