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Optimal control analysis in the chemotherapy of IgG multiple myeloma

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Abstract

This paper uses the Gompertzian model for the growth of a cancer cell population subject to losses due to the action of cycle nonspecific therapy for the determination of a chemotherapy program obtained from optimal control theory. Application of the analysis to control of the bone cancer IgG multiple myeloma is presented. The program obtained from optimal control theory is compared with clinical results.

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Authors and Affiliations

  1. Aerospace and Mechanical Engineering, University of Arizona, 85721, Tucson, Arizona, U.S.A.

    George W. Swan (Visiting Professor) & Thomas L. Vincent

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  1. George W. Swan
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  2. Thomas L. Vincent
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Swan, G.W., Vincent, T.L. Optimal control analysis in the chemotherapy of IgG multiple myeloma. Bltn Mathcal Biology 39, 317–337 (1977). https://doi.org/10.1007/BF02462912

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  • DOI: https://doi.org/10.1007/BF02462912

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