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1.
Bull Math Biol ; 80(5): 1084-1110, 2018 05.
Article in English | MEDLINE | ID: mdl-28536994

ABSTRACT

We describe here a simple model for the interaction between leukemic cells and the autologous immune response in chronic phase chronic myelogenous leukemia (CML). This model is a simplified version of the model we proposed in Clapp et al. (Cancer Res 75:4053-4062, 2015). Our simplification is based on the observation that certain key characteristics of the dynamics of CML can be captured with a three-compartment model: two for the leukemic cells (stem cells and mature cells) and one for the immune response. We characterize the existence of steady states and their stability for generic forms of immunosuppressive effects of leukemic cells. We provide a complete co-dimension one bifurcation analysis. Our results show how clinical response to tyrosine kinase inhibitors treatment is compatible with the existence of a stable low disease, treatment-free steady state.


Subject(s)
Leukemia, Myeloid, Chronic-Phase/immunology , Models, Immunological , Antineoplastic Agents/therapeutic use , Autoimmunity , Humans , Leukemia, Myeloid, Chronic-Phase/drug therapy , Mathematical Concepts , Protein Kinase Inhibitors/therapeutic use , Protein-Tyrosine Kinases/antagonists & inhibitors
2.
Oncoimmunology ; 5(5): e1122159, 2016 May.
Article in English | MEDLINE | ID: mdl-27467931

ABSTRACT

Many chronic myelogenous leukemia (CML) patients in chronic phase who respond well to imatinib therapy show fluctuations in their leukemic loads in the long-term. We developed a mathematical model of CML that incorporates the intervention of an autologous immune response. Our results suggest that the patient's immune system plays a crucial role in imatinib therapy in maintaining disease control over time. The observed BCR-ABL/ABL oscillations in such patients provide a signature of the autologous immune response.

3.
Cancer Res ; 75(19): 4053-62, 2015 Oct 01.
Article in English | MEDLINE | ID: mdl-26359456

ABSTRACT

Imatinib and other tyrosine kinase inhibitors (TKI) have improved treatment of chronic myelogenous leukemia (CML); however, most patients are not cured. Deeper mechanistic understanding may improve TKI combination therapies to better control the residual leukemic cell population. In analyzing our patients' data, we found that many patients who otherwise responded well to imatinib therapy still showed variations in their BCR-ABL transcripts. To investigate this phenomenon, we applied a mathematical model that integrates CML and an autologous immune response to the patients' data. We define an immune window or a range of leukemic loads for which the autologous immune system induces an improved response. Our modeling results suggest that, at diagnosis, a patient's leukemic load is able to partially or fully suppress the autologous immune response developed in a majority of patients, toward the CML clone(s). Imatinib therapy drives the leukemic population into the "immune window," allowing the patient's autologous immune cells to expand and eventually mount an efficient recognition of the residual leukemic burden. This response drives the leukemic load below this immune window, allowing the leukemic population to partially recover until another weaker immune response is initiated. Thus, the autologous immune response may explain the oscillations in BCR-ABL transcripts regularly observed in patients on imatinib.


Subject(s)
Antineoplastic Agents/pharmacology , Computer Simulation , Fusion Proteins, bcr-abl/biosynthesis , Gene Expression Regulation, Neoplastic/immunology , Imatinib Mesylate/pharmacology , Immunologic Surveillance , Leukemia, Myelogenous, Chronic, BCR-ABL Positive/immunology , Models, Biological , Neoplastic Stem Cells/metabolism , Protein Kinase Inhibitors/pharmacology , Transcription, Genetic/immunology , Antineoplastic Agents/therapeutic use , Cell Differentiation , Clone Cells/pathology , Fusion Proteins, bcr-abl/genetics , Humans , Imatinib Mesylate/therapeutic use , Leukemia, Myelogenous, Chronic, BCR-ABL Positive/drug therapy , Leukemia, Myelogenous, Chronic, BCR-ABL Positive/metabolism , Neoplastic Stem Cells/immunology , Protein Kinase Inhibitors/therapeutic use , RNA, Messenger/biosynthesis , RNA, Messenger/genetics , RNA, Neoplasm/biosynthesis , RNA, Neoplasm/genetics , Remission Induction , Treatment Outcome , Tumor Burden
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