Mathematical model of remission duration in acute myelogenous leukemia. 1985

B G Birkhead

A mathematical model of disease-free survival in acute myelogenous leukemia is formulated in terms of proliferation of the leukemic stem cell compartment. A survivorship function is described which allows for the possibility that some patients may be cured of their disease and which captures the main features of experimental remission-duration curves. The model is used to investigate the effect of the amount of residual disease and the growth rate of the stem cell population on the length of remissions and the chances for cure. A method of comparing clinical trials, with potential for explanatory inference, is exemplified.

UI MeSH Term Description Entries
D007167 Immunotherapy Manipulation of the host's immune system in treatment of disease. It includes both active and passive immunization as well as immunosuppressive therapy to prevent graft rejection. Immunotherapies
D008433 Mathematics The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Mathematic
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D002455 Cell Division The fission of a CELL. It includes CYTOKINESIS, when the CYTOPLASM of a cell is divided, and CELL NUCLEUS DIVISION. M Phase,Cell Division Phase,Cell Divisions,Division Phase, Cell,Division, Cell,Divisions, Cell,M Phases,Phase, Cell Division,Phase, M,Phases, M
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D013997 Time Factors Elements of limited time intervals, contributing to particular results or situations. Time Series,Factor, Time,Time Factor
D014411 Neoplastic Stem Cells Highly proliferative, self-renewing, and colony-forming stem cells which give rise to NEOPLASMS. Cancer Stem Cells,Colony-Forming Units, Neoplastic,Stem Cells, Neoplastic,Tumor Stem Cells,Neoplastic Colony-Forming Units,Tumor Initiating Cells,Cancer Stem Cell,Cell, Cancer Stem,Cell, Neoplastic Stem,Cell, Tumor Initiating,Cell, Tumor Stem,Cells, Cancer Stem,Cells, Neoplastic Stem,Cells, Tumor Initiating,Cells, Tumor Stem,Colony Forming Units, Neoplastic,Colony-Forming Unit, Neoplastic,Initiating Cell, Tumor,Initiating Cells, Tumor,Neoplastic Colony Forming Units,Neoplastic Colony-Forming Unit,Neoplastic Stem Cell,Stem Cell, Cancer,Stem Cell, Neoplastic,Stem Cell, Tumor,Stem Cells, Cancer,Stem Cells, Tumor,Tumor Initiating Cell,Tumor Stem Cell,Unit, Neoplastic Colony-Forming,Units, Neoplastic Colony-Forming
D015470 Leukemia, Myeloid, Acute Clonal expansion of myeloid blasts in bone marrow, blood, and other tissue. Myeloid leukemias develop from changes in cells that normally produce NEUTROPHILS; BASOPHILS; EOSINOPHILS; and MONOCYTES. Leukemia, Myelogenous, Acute,Leukemia, Nonlymphocytic, Acute,Myeloid Leukemia, Acute,Nonlymphocytic Leukemia, Acute,ANLL,Acute Myelogenous Leukemia,Acute Myeloid Leukemia,Acute Myeloid Leukemia with Maturation,Acute Myeloid Leukemia without Maturation,Leukemia, Acute Myelogenous,Leukemia, Acute Myeloid,Leukemia, Myeloblastic, Acute,Leukemia, Myelocytic, Acute,Leukemia, Myeloid, Acute, M1,Leukemia, Myeloid, Acute, M2,Leukemia, Nonlymphoblastic, Acute,Myeloblastic Leukemia, Acute,Myelocytic Leukemia, Acute,Myelogenous Leukemia, Acute,Myeloid Leukemia, Acute, M1,Myeloid Leukemia, Acute, M2,Nonlymphoblastic Leukemia, Acute,Acute Myeloblastic Leukemia,Acute Myeloblastic Leukemias,Acute Myelocytic Leukemia,Acute Myelocytic Leukemias,Acute Myelogenous Leukemias,Acute Myeloid Leukemias,Acute Nonlymphoblastic Leukemia,Acute Nonlymphoblastic Leukemias,Acute Nonlymphocytic Leukemia,Acute Nonlymphocytic Leukemias,Leukemia, Acute Myeloblastic,Leukemia, Acute Myelocytic,Leukemia, Acute Nonlymphoblastic,Leukemia, Acute Nonlymphocytic,Leukemias, Acute Myeloblastic,Leukemias, Acute Myelocytic,Leukemias, Acute Myelogenous,Leukemias, Acute Myeloid,Leukemias, Acute Nonlymphoblastic,Leukemias, Acute Nonlymphocytic,Myeloblastic Leukemias, Acute,Myelocytic Leukemias, Acute,Myelogenous Leukemias, Acute,Myeloid Leukemias, Acute,Nonlymphoblastic Leukemias, Acute,Nonlymphocytic Leukemias, Acute

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