Nonparametric analysis of stathmokinesis
type: Item
instance of: scholarly article
title: Nonparametric analysis of stathmokinesis
zbMATH Open document ID: 0605.92003
DOI: 10.1016/0025-5564(85)90027-6
author: Marek Kimmel
published in: Mathematical Biosciences
publication date: 1985-01-01T00:00:00Z
review text: The nonparametric analysis of the stathmokinetic experiment presented in this paper is an extension of procedures by \textit{P. Jagers}, see Bull. Math. Biol. 45, 507-519 (1983; Zbl 0517.92019) and \textit{R. G. Staudte}, in M. Rotenberg (ed.), Biomathematics and cell kinetics, Proc. Workshop, Asilomar/Calif. 1981, 233-239 (1981). The method allows one to estimate, under very general assumptions, the first two moments of the residence time in successive cell cycle phases. Approximate formulae for the mean square errors of the estimates are derived. Applications include experimental stathmokinetic data for various cell lines, both analyzed and not analyzed previously. Comparison proves that the nonparametric method is very accurate whenever it can be applied. Results of analysis of the stathmokinetic data are also discussed from the viewpoint of the variability of the cell cycle generation time.
Mathematics Subject Classification ID: 92B05
Mathematics Subject Classification ID: 92F05
Mathematics Subject Classification ID: 62P10
zbMATH DE Number: 3978886
zbMATH Keywords: stathmokinesis
zbMATH Keywords: estimation of moments
zbMATH Keywords: nonparametric estimation
zbMATH Keywords: stathmokinetic experiment
zbMATH Keywords: residence time in successive cell cycle phases
zbMATH Keywords: mean square errors
zbMATH Keywords: variability of the cell cycle generation time
MaRDI profile type: Publication
full work available at URL: 0025-5564(85)90027-6
OpenAlex ID: W1974395186
cites work: A method for the measurement of variability in cell lifetimes
cites work: Stochastic models for cell kinetics
cites work: Cellular population dynamics. I. Model construction and reformulation
cites work: Cellular population dynamics. II. Investigation of solutions
cites work: Q3941227
description: scientific article; zbMATH DE number 3978886