Exact representations for tumour incidence for some density-dependent models | Zendy

P.R. Parthasarathy | Zendy; Klaus Dietz | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Exact representations for tumour incidence for some density-dependent models

Author(s) -

P.R. Parthasarathy,

Klaus Dietz

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.2655

Subject(s) - birth–death process , mathematics , carcinogenesis , fraction (chemistry) , constant (computer programming) , stochastic process , process (computing) , stochastic modelling , statistics , statistical physics , demography , biology , cancer , genetics , physics , chemistry , computer science , population , organic chemistry , sociology , programming language , operating system

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research