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Optimal Control in a Model of Dendritic Cell Transfection Cancer Immunotherapy

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Abstract

We construct a population dynamics model of the competition among immune system cells and generic tumor cells. Then, we apply the theory of optimal control to find the optimal schedule of injection of autologous dendritic cells used as immunotherapeutic agent.

The optimization method works for a general ODE system and can be applied to find the optimal schedule in a variety of medical treatments that have been described by a mathematical model.

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Authors and Affiliations

  1. Istituto Applicazioni del Calcolo (IAC) “M. Picone,” Consiglio Nazionale delle Ricerche (CNR), Viale del Policlinico, 137-00161, Rome, Italy

    Filippo Castiglione & Benedetto Piccoli

Authors
  1. Filippo Castiglione
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  2. Benedetto Piccoli
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Correspondence to Filippo Castiglione.

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Castiglione, F., Piccoli, B. Optimal Control in a Model of Dendritic Cell Transfection Cancer Immunotherapy. Bull. Math. Biol. 68, 255–274 (2006). https://doi.org/10.1007/s11538-005-9014-3

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  • DOI: https://doi.org/10.1007/s11538-005-9014-3

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