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Stochastic Models for Cell Proliferation

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Mathematical Problems in Biology

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 2))

Abstract

The growth and form of any biological tissue are determined by the division rates of proliferating cells, the dynamic relationship between proliferating and quiescent cells and the growth of the cells themselves. This paper develops a model for cell proliferation which is valid when a cell population has experienced relatively constant conditions for a number of generations, with generation times variable but successive generation times uncorrelated. The object is to show how modeling has led to methods for analysing data from thymidine-labelling experiments of the sort that are being done by biologists interested in the proliferative characteristics of cells, especially in studies of tumour growth and the development of meristematic tissue in plants.

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References

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© 1974 Springer-Verlag Berlin · Heidelberg

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Macdonald, P.D.M. (1974). Stochastic Models for Cell Proliferation. In: van den Driessche, P. (eds) Mathematical Problems in Biology. Lecture Notes in Biomathematics, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45455-4_22

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  • DOI: https://doi.org/10.1007/978-3-642-45455-4_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06847-1

  • Online ISBN: 978-3-642-45455-4

  • eBook Packages: Springer Book Archive

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