Open AccessModel biological population by branching processes
Author(s) -
Antoanela Terzieva
Publication year - 2017
Publication title -
biomath communications
Language(s) - English
Resource type - Journals
eISSN - 2367-5241
pISSN - 2367-5233
DOI - 10.11145/bmc.2017.01.161
Subject(s) - branching process , branching (polymer chemistry) , population , division (mathematics) , mathematics , stochastic modelling , type (biology) , markov process , statistical physics , combinatorics , biology , statistics , physics , ecology , demography , sociology , materials science , arithmetic , composite material
Consider a population of two or more different types of cells that at the end of life create two new cells through cell division. We model the population dynamics using a multitype branching stochastic processes. Under consideration are processes of Bieneme-Galton-Watson and of Bellman-Harris for the Markovian case. drawn Conclusions about the expected number of particles of each type after a random time are drawn. The proposed models could be applicable not only for populations of a unicellular organisms, but also for sets of objects which operate a certain period of time and then split into two new objects or change their type.