Optimal control in a model of dendritic cell transfection cancer immunotherapy

Filippo Castiglione, Benedetto Piccoli

Research output: Contribution to journalArticlepeer-review

67 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)255-274
Number of pages20
JournalBulletin of Mathematical Biology
Volume68
Issue number2
DOIs
StatePublished - Feb 1 2006
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Neuroscience(all)
  • Immunology
  • Mathematics(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Environmental Science(all)
  • Pharmacology
  • Agricultural and Biological Sciences(all)
  • Computational Theory and Mathematics

Keywords

  • Autologous dendritic cells transfection
  • Cancer
  • Immunotherapy
  • Necessary conditions
  • Optimal control

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