1995/09/01 by Chinsan Lee, Grace L. Yang · 5 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #Applied mathematics #Branching (polymer chemistry) #Branching process #Cancer Genomics and Diagnostics #Combinatorics #Exponential distribution #Exponential function #Generalization #Markov chain #Markov process #Mathematical Biology Tumor Growth #Mathematical analysis #Mathematics #Statistics #Supercritical fluid
paper · doi:10.2307/3215115
published in Journal of Applied Probability 32(3), 591-608 (Cambridge University Press)
openalex publication_date 1995/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
Asymptotic formulas for means and variances of a multitype decomposable age-dependent supercritical branching process are derived. This process is a generalization of the Kendall–Neyman–Scott two-stage model for tumor growth. Both means and variances have exponential growth rates as in the case of the Markov branching process. But unlike Markov branching, these asymptotic moments depend on the age of the original individual at the start of the process and the life span distribution of the progenies.