Multitype controlled branching processes in cell kinetics
M. González Velasco, C. Minuesa Abril, I. M. del Puerto García
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. In this work, 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 populations was introduced in Yakovlev et al. (2008)[JASA, 103(484), 1357-1366]. We propose a controlled two-type branching process to describe the embedded discrete branching structure of the 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.
Palabras clave / Keywords: branching processes, Bayesian inference, disparity measure, cell kinetics
Programado
Sesión invitada SI01 Procesos Estocásticos: Modelización y Aplicaciones I (Organizadora: Inés Mª del Puerto García)
30 de mayo de 2018 10:50
Sala 2
Otros trabajos en la misma sesión
P. Ramírez Cobo, R. E. Lillo Rodríguez, Y. G. Yera
P. Román Román, J. J. Serrano Pérez, F. A. Torres Ruiz
M. Molina Fernández, M. Mota Medina, A. Ramos Cantariño
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