Author:
Lee Chinsan,Yang Grace L.
Abstract
Asymptotic formulas for means and variances of a multitype decomposable age-dependent supercritical branching process are derived. This process is a generalization of the Kendall–Neyman–Scott two-stage model for tumor growth. Both means and variances have exponential growth rates as in the case of the Markov branching process. But unlike Markov branching, these asymptotic moments depend on the age of the original individual at the start of the process and the life span distribution of the progenies.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference15 articles.
1. Convergence of general branching processes and functionals thereof
2. A mathematical model for relating the drug sensitivity of tumors to their spontaneous mutation rate;Goldie;Ca. Treat. Rep.,1979
3. Quantitative model for multiple levels of drug resistance in clinical tumors;Goldie;Ca. Treat. Rep.,1983
4. Do Cells Cycle?
5. An age-dependent stochastic model for carcinogenesis
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献