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Outline of a mathematical theory of the removal of malarial parasites from the blood stream

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Abstract

By making some plausible assumptions, a set of differential equations is proposed which describes the kinetics of interaction between periodically multiplying parasites and continuously produced phagocytes. These equations establish some general conditions which are necessary in order that the number of parasites should increase or decrease. Some consequences of the equations are discussed, and some experimental procedures for the determination of the parameters entering those equations are suggested.

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Literature

  • Knisely, M. 1944. Unpublished. Personal communication to the author.

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  • Taliaferro, W. H. and H. W. Mulligan. 1937. “The Histopathology of Malaria with Special Reference to the Function and Origin of Macrophages in Defense”.The Indian Medical Research Memoirs,29, 1–138.

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Landahl, H.D. Outline of a mathematical theory of the removal of malarial parasites from the blood stream. Bulletin of Mathematical Biophysics 6, 93–104 (1944). https://doi.org/10.1007/BF02478239

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  • DOI: https://doi.org/10.1007/BF02478239

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