Compartmental mathematical modeling of immune system - melanoma competition

This paper deals with a preliminary model developed to sketch the immune response stimulated by the administration of OT1 activated cytotoxic T cells with Anti-CD 137 immunostimulatory monoclonal antibodies against melanoma cells. We model two compartments: the injection point compartment where the treatment is administered and the skin compartment where melanoma tumor cells proliferate. To model the migration of OT1 T cells and Antibodies from the injection to the skin compartment we use delay differential equations (DDE). We then present preliminary results showing the immune response entitled with the use of the treatment.

This paper deals with a preliminary model developed to sketch the immuneresponse stimulated by the administration of OT1 activated cytotoxic T cells withAnti-CD 137 immunostimulatory monoclonal antibodies against melanoma cells.We model two compartments: the injection point compartment where the treat-ment is administered and the skin compartment where melanoma tumor cells pro-liferate. To model the migration of OT1 T cells and Antibodies from the injec-tion to the skin compartment we use delay dierential equations (DDE). We thenpresent preliminary results showing the immune response entitled with the use ofthe treatment.