期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
DOI：10.1155/IJMMS.2005.2655
出版社：Hindawi Publishing Corporation
摘要：Carcinogenesis is a multistage random process involving generic
changes and stochastic proliferation and differentiation of normal
cells and genetically altered stem cells. In this paper, we
present the probability of time to tumour onset for a
carcinogenesis model wherein the cells grow according to a
birth and death process with density-dependent birth and death
rates. This is achieved by transforming the underlying system of
difference equations which results in a continued fraction. This
continued fraction approach helps us to find the complete
solutions. The popular Moolgavkar-Venzon-Knudson (MVK)
model assumes constant birth, death, and transition rates.
