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A mathematical theory of size distributions in tissue culture

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Abstract

A model for growth of a tissue culture consisting of cell clumps is given. A set of equations for following the size distribution of clumps is used to determine total biomass accumulation. Existence and uniqueness of a solution to the equations is proved, and estimates of the biomass growth is given in a number of situations.

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This research has been supported in part by the United States Army Research Office under grant # ARO-DAAG-29-79-C-0161

On leave from: Université de Nancy I - UER. Sc. Mathématiques, Boite Postale, F-239-54506 Vandoeuvre les Nancy-Cedex, France

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Chipot, M., Edelstein, L. A mathematical theory of size distributions in tissue culture. J. Math. Biology 16, 115–130 (1983). https://doi.org/10.1007/BF00276052

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  • DOI: https://doi.org/10.1007/BF00276052

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