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Drug delivery mathematical modeling for pressure controlled bioreactor

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Abstract

We analyze a mathematical model for drug delivery monitoring subject to flow-through bioreactor. We use a convection–diffusion–reaction model combined with PID control. Enzyme-containing bioreactor converts a prodrug into an active drug. This approach connects two aspects of drug delivery, mechanical pumps and prodrugs. Drug delivery monitoring is performed by adjusting the prodrug inflow pressure. We model several dynamic treatment regimes. A combined algorithm of treatment regimes can be used for personalized treatment. A control-aided system allows us to reduce the impact of pumping fluctuations, diffusion slowdown, and drug production rate reduction.

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Authors and Affiliations

  1. Institute of Biochemistry, Vilnius University, Vilnius, Lithuania

    Valdas Laurinavičius

  2. Institute of Computer Science, Vilnius University, Vilnius, Lithuania

    Feliksas Ivanauskas & Anatolij Nečiporenko

Authors
  1. Valdas Laurinavičius
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  2. Feliksas Ivanauskas
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  3. Anatolij Nečiporenko
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Correspondence to Anatolij Nečiporenko.

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Laurinavičius, V., Ivanauskas, F. & Nečiporenko, A. Drug delivery mathematical modeling for pressure controlled bioreactor. J Math Chem 57, 1973–1982 (2019). https://doi.org/10.1007/s10910-019-01050-z

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  • DOI: https://doi.org/10.1007/s10910-019-01050-z

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