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Mathematical model of dynamic adhesion of lymphocytes on a glass-bead column

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Abstract

A mathematical description of the process of adherence to glass of the rat thymus lymphocytes is presented. It is based on the result of previous work in which the process was studied in the course of the flow of the51Cr labelled cell suspension through the glass-bead column. The concentration of cell suspension, flow velocity and medium temperature were constant; the experiments were performed with different lengths of the bead bed. The amount of cells captured on the glass beads' surface was calculated as a function of time. Two approaches to the mathematical description of the process are presented. The first one is based on the linear equation of kinetics of cell retention on the elementary thin layer and on the transport equation of the flow of the suspension through the column. In the second one, the differential equation of the adhesion, derived from the experimental data, is discussed.

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Doroszewski, J., Jakubas, J. & Szlenk, W. Mathematical model of dynamic adhesion of lymphocytes on a glass-bead column. Bltn Mathcal Biology 38, 659–669 (1976). https://doi.org/10.1007/BF02458640

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  • DOI: https://doi.org/10.1007/BF02458640

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