Johnny Ottesen

• 
  Mathematical Modeling of Leukemia and MPNs
  Johnny Ottesen

  Inflammation trigs and drives leukemia and the related Myeloproliferative Neoplasm (MPNs) diseases through the innate immune system while leukemia and MPNs stimulates the inflammatory responds of the adaptive immune system fighting the malign cells of the diseases. Where the two-way coupling of tumorous cancer and the adaptive immune system has drawn some attention during the last decades and inspired to immuno- and gene-therapy, leukemia and MPNs have been left unnoticed with respect to such coupling. Furthermore, the two-way coupling of leukemia and MPNs, and the innate immune system is by the large left unstudied with respect to treatments and preventive measures. We pose a novel mathematical model of development of leukemia and MPNs taking these two-way couplings into account. The model is validated against human data. It follows that the innate immune response is crucial in the development and treatment of leukemia and MPNs. Steady states and their stability are determine analytically and it is discuss how the model may be used for optimizing treatment. Geometric singular perturbation theory suggest a reduced model which shows excellent agreement with the full model.