Mathematical models for order of mutation problem in myeloproliferative neoplasm: non-additivity and non-commutativity

Abstract

In some patients of myeloproliferative neoplasm, two genetic mutations can be found: JAK2 V617F and TET2. When one mutation is present or not, the other mutation has different effects on regulating gene expressions. Besides, when both mutations are present, the order of occurrence might make a difference. In this paper, we build nonlinear ordinary differential equation models and Markov chain models to explain such phenomena.