Title: A two-type controlled branching process as model in cell kinetics
Authors: Miguel Gonzalez Velasco - University of Extremadura (Spain) [presenting]
Carmen Minuesa Abril - University of Extremadura (Spain)
Ines M del Puerto - University of Extremadura (Spain)
Abstract: Branching processes are relevant models in the development of theoretical approaches to problems in applied fields as, for instance, molecular biology, cell biology, epidemiology, and genetics. We deal with problems arising in cell biology. More specifically, we focus our attention on experimental data generated by time-lapse video recording of cultured oligodendrocyte cells. A reducible age-dependent branching process with emigration to model such population has been previously introduced. We propose a two-type controlled branching process to describe the embedded discrete branching structure of such an age-dependent branching process. In this context, we tackle the estimation of the offspring distribution of the cell population. We address this problem from a Bayesian framework by making use of disparity measures. Statistical inference results are applied to a real data set.