BulDML at Institute of Mathematics and Informatics >
IMI Periodicals >
Pliska Studia Mathematica Bulgarica >
2011 Volume 20 >

Please use this identifier to cite or link to this item:

Title: Em Estimation of the Offspring Distribution in Mutitype Branching Processes - a Model in Cell Kinetics
Authors: Daskalova, Nina
Keywords: multitype branching processes
offspring distribution
maximum likelihood estimation
expectation maximization
stochastic context-free grammars
inside-outside algorithm
cell kinetics modelling
Issue Date: 2011
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Pliska Studia Mathematica Bulgarica, Vol. 20, No 1, (2011), 45p-52p
Abstract: Multitype branching processes (MTBP) have been proven to be very useful models in cell kinetics. A typical example is the process of oligodendrocyte generation in cell culture, which is regarded as two-type branching process. Usually, such a process is not observable in the sense of the whole tree, but only as the "generation" at given moment in time, which consist of the number of cells of every type. An EM-type algorithm is used to obtain a maximum likelihood (ML) estimation of the offspring distribution. The performance of the presented algorithm is assessed using simulated data.
Description: 2000 Mathematics Subject Classification: 60J80, 60J85, 62P10, 92D25.
ISSN: 0204-9805
Appears in Collections:2011 Volume 20

Files in This Item:

File Description SizeFormat
Pliska-20-2011-045-052.pdf1.08 MBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.


Valid XHTML 1.0!   Creative Commons License