exact representations for tumour incidence for some density-dependent models
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ID: 195194
2005
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Abstract
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.
| Reference Key |
parthasarathy2005internationalexact
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|---|---|
| Authors | ;P. R. Parthasarathy;Klaus Dietz |
| Journal | structural engineering and mechanics |
| Year | 2005 |
| DOI |
10.1155/IJMMS.2005.2655
|
| URL | |
| Keywords |
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