Exact representations for tumour incidence for some density-dependent models
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2655 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |