Kendall's advanced theory of statistics
Kendall's advanced theory of statistics
On the distribution of mutants in cell populations with both forward and backward mutation
SIAM Journal on Applied Mathematics
Stochastic modeling of carcinogenesis by state space models: a new approach
Mathematical and Computer Modelling: An International Journal
Stochastic modeling of carcinogenesis: Some new insights
Mathematical and Computer Modelling: An International Journal
| Hi-index | 0.98 |
In this paper, I have shown that under some mild conditions, the number of initiated cells in an extended two-stage model of carcinogenesis can be approximated by a diffusion process. By using this approximation, I have derived the probability distribution for the number of initiated cells in terms of Laguerre polynomials under normal prevention conditions. This follows from the fact that many of the dietary components are antioxidants which would neutralize the hydroxyl free radicals and hence, reduce the proliferation rates of initiated cells to interrupt or slow down the promotion stage in carcinogenesis.