The present invention provides a method of treating Philadelphia positive (Ph+) leukemia, such as Philadelphia chromosome positive acute lymphoblastic leukemia (Ph+ ALL) or chronic myeloid leukemia (CML), in a human patient population comprising the steps of(a) administering a predetermined fixed amount of a Bcr-Abl tyrosine kinase inhibitor, such as Imatinib, or a pharmaceutically acceptable salt thereof to human patients suffering from a Ph+ leukemia,(b) collecting at least one blood sample from said patients,(c) determining the plasma trough level (Cmin) of the Bcr-Abl tyrosine kinase inhibitor or of a metabolite thereof as well as the MMR rates,(d) assessing a discrimination potential of trough plasma concentrations for MMR and identifying a Cmin threshold for optimal sensitivity and specificity and(e) adjusting the dose of the inhibitor of the Bcr-Abl tyrosine kinase or a pharmaceutically acceptable salt thereof applied to the individual patients from said patient population and, optionally, future patients suffering from a Ph+ leukemia in a manner that a Cmin is achieved in each single patient equal to or higher than the Cmin threshold obtained under step (d).