Dynamical modeling of chronic myeloid leukemia progression and the development of mutations

Mathematical models have already been developed to describe the dynamics of the chronic myeloid leukemia (CML). However, most of them mainly focus on the short term dynamics and response to the treatment with drugs such as imatinib or the relapse upon cessation of treatment. In this paper, we aim to study the dynamics of CML which represents the first human cancer for the molecularly targeted therapy again. First, we propose a new mathematical model of CML which based on the known biology knowledges. And then we analyze its qualitative and dynamical properties. Combining the clinical data and theoretical analysis, we demonstrate that our model is biologically plausible and also computationally viable. Second, we demonstrate that this model can characterize the dynamics of the CML infection and the development of mutation, and is also validated by clinical data.