Poisson convergence on continuous time branching random walks and multistage carcinogenesis.
A theorem for Poisson convergence on realizations of two-dimensional Branching Random Walks with an underlying continuous time Markov Branching Process is proved. This result can be used to gain an approximation for the number of cells having sustained a certain deficiency after a long time in multistage carcinogenesis.
D000818:Animals; D002471:Cell Transformation, Neoplastic; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D009369:Neoplasms / Q000209:etiology*; D013997:Time Factors