biostudies-otherUnknown16Lucian SmithJournal of Biological Systems51-80Homo sapienshttps://www.ebi.ac.uk/biostudies/studies/MODEL2001200003biostudies-other10.1142/S0218339008002435Mohammad Umer Sharif ShohanLucian SmithfalsedePillis2008 - Optimal control of mixed immunotherapy and chemotherapy of tumors&lt;notes xmlns=&quot;http://www.sbml.org/sbml/level2/version4&quot;&gt; &lt;body xmlns=&quot;http://www.w3.org/1999/xhtml&quot;&gt; &lt;pre&gt;Optimal control of mixed immunotherapy and chemotherapy of tumorsLisette Depillis, K. R. Fister , W. Gu, Tiffany Head, Kenny Maples, Todd Neal, Anand Murugan and Kenji KozaiAbstractWe investigate a mathematical population model of tumor-immune interactions. Thepopulations involved are tumor cells, specific and non-specific immune cells, and con-centrations of therapeutic treatments. We establish the existence of an optimal con-trol for this model and provide necessary conditions for the optimal control triple forsimultaneous application of chemotherapy, tumor infiltrating lymphocyte (TIL) ther-apy, and interleukin-2 (IL-2) treatment. We discuss numerical results for the combina-tion of the chemo-immunotherapy regimens. We find that the qualitative nature of ourresults indicates that chemotherapy is the dominant intervention with TIL interactingin a complementary fashion with the chemotherapy. However, within the optimal con-trol context, the interleukin-2 treatment does not become activated for the estimatedparameter ranges.2020-01-20T00:00:00Z2025-07-15T09:47:51.24Z2025-03-29T22:13:15.101ZMODEL2001200003BIOMD0000000913MODEL2001160001NCIT:C120462C132890C191MAMO_0000046GO:0002697GO:0015893GO:0070970GO:0002418GO:0045583GO:0032663GO:0072676GO:0002252GO:0046649GO:00023559606BTO:0000289P6056810.1142/S02183390080024350000616