Em Estimation of the Offspring Distribution in Mutitype Branching Processes - a Model in Cell Kinetics
| Data(s) |
20/12/2013
20/12/2013
2011
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| Resumo |
2000 Mathematics Subject Classification: 60J80, 60J85, 62P10, 92D25. 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. The research was partially supported by appropriated state funds for research allocated to Sofia University (contract 112/2010), Bulgaria. |
| Identificador |
Pliska Studia Mathematica Bulgarica, Vol. 20, No 1, (2011), 45p-52p 0204-9805 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #multitype branching processes #offspring distribution #maximum likelihood estimation #expectation maximization #stochastic context-free grammars #inside-outside algorithm #cell kinetics modelling |
| Tipo |
Article |
