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Workshop on Branching Processes and Their Applications pp 159–178Cite as

Branching processes in cell proliferation kinetics

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Part of the book series: Lecture Notes in Statistics ((LNSP,volume 197))

Abstract

This is a memorial survey paper on some joint works with Andrei Yu. Yakovlev† in the field of branching processes and their applications in cell proliferation kinetics. The following topics are considered: distributions of discrete and continuous labels, age and residual lifetime distributions, models of leukemia cell kinetics, age-dependent branching populations with randomly chosen paths of evolution as models of progenitor cell populations (in vitro) and estimating of offspring distributions, multitype branching populations with a large number of ancestors and asymptotic likelihood estimation of the basic mitotic parameters. A part of the presented results is not published yet. The paper is focused on some new ideas for branching processes theory arising in cell proliferation modeling.

Mathematics Subject Classification (2000): 60J80, 60J85, 62P10, 92D25

http://www.urmc.rochester.edu/smd/biostat/AndreiYakovlev.pdf

http://www.biology-direct.com/content/3/1/10

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Acknowledgements

The paper is supported by NIH/NINDS grant NS39511, NIH/NCI R01 grant CA134839 and NIH grant N01-AI-050020. The author would like to thank the referee for the useful remarks and suggestions.

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Authors and Affiliations

  1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 8 G. Bonchev street, 1113, Sofia, Bulgaria

    Nikolay M. Yanev

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  1. Nikolay M. Yanev
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Correspondence to Nikolay M. Yanev .

Editor information

Editors and Affiliations

  1. Fac. Ciencias, Universidad de Extremadura, Avenida Elvas s/n, Badajoz, 06071, Spain

    Miguel González Velasco

  2. Fac. Ciencias, Universidad de Extremadura, Avenida Elvas s/n, Badajoz, 06071, Spain

    Inés M. Puerto

  3. Universidad de Extremadura, Avda. Virgen del Puerto, Plasencia, 10600, Spain

    Rodrigo Martínez

  4. Fac. Ciencias, Universidad de Extremadura, Avenida Elvas s/n, Badajoz, 06071, Spain

    Manuel Molina

  5. Fac. Ciencias, Universidad de Extremadura, Avenida Elvas s/n, Badajoz, 06071, Spain

    Manuel Mota

  6. Facultad de Veterinaria, Universidad de Extradura, Avda Universidad s/n, Caceres, 10071, Spain

    Alfonso Ramos

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Yanev, N.M. (2010). Branching processes in cell proliferation kinetics. In: González Velasco, M., Puerto, I., Martínez, R., Molina, M., Mota, M., Ramos, A. (eds) Workshop on Branching Processes and Their Applications. Lecture Notes in Statistics(), vol 197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11156-3_12

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