Open AccessA Branching Cell Population Model Allowing for Cell Death
Author(s) -
Mounir Aout
Publication year - 2006
Publication title -
journal of mathematics and statistics
Language(s) - English
Resource type - Journals
eISSN - 1558-6359
pISSN - 1549-3644
DOI - 10.3844/jmssp.2006.373.377
Subject(s) - branching process , supercritical fluid , mathematics , birth–death process , branching (polymer chemistry) , population , context (archaeology) , extinction probability , statistical physics , type (biology) , population model , population size , statistics , demography , biology , thermodynamics , physics , materials science , sociology , composite material , paleontology , ecology
We use multi-type branching processes to describe a general cell population model allowing for cell death. Unlike the case without cell death, the process can be subcritical, critical or supercritical. Since we are interested in the supercritical case where the process can escape extinction with positive probability, we give conditions ensuring the supercriticality. In this context, we show the existence of the Malthusian parameter and the stable birth-type distribution which we get analytically under additional assumptions