Monitoring of Therapeutic Courses of Acute Leukemia by Application of Mathematical Models, based on Cell Kinetics.

In this study，我们构造数学模型which describe cell count behavior in acute leukemia，基本的概念cell kinetcs.我们也开发了一种方法来monitor the therapeutic effectsof chemotherapy in acute leukemia by simulating and comparing cell count behavior in the计算机，in cell kinetics的数学模型是transplanted. The following results wereobtained1.Construction of a Mathematical Model描述Cell count Behavior of Normal Granulocytic and Leukemic Cells during Chemotherapy，based on the Principles of Cell Kinetics.Kinetics of normal granulocytic and leukemic described interms of 4 compartments, including G0, G1S . G2 . M and terminally matur cells.（详细的Mathematical Model）. Mathematical models containindices relating with cell proliferation，sensitivity of cells to drug and the concentrations of the drugs in体内. This model enables us tosimulate cell count behavior of acute and chronic leukemia, as native and modified by…chemotherapeutic agents as well. The simulated kinetics proved satisfactory. as compared More chemotherapeutic agents as well. The simulated kinetics proved satisfactory as comparedwith the actural daily cell count behaviors.2. Construction of the Approximate数学模型which is applicable to Clinical follow-up of Cases with Acute leukemi . the detailed mathematicalmodels modified into an approximate model which can describe cell count behavior in leukemia，only bythe peripheral cell counts. The approximate model was applied to actual cases with acuteleukemia and parameters characteristics to individual cases was determined and compared.Individualized approximate model could simulate well the actual cell count behavior in each caseduring chemotherapy.3. Transplantation of the Detailed and Approximate Models into Personal计算机. Both detailed and approximate mathematical models被transplanted in NEC PC9801. The详细模型yielded good simulation patterns of cell count behavior during the presumedadministration of chemotherapeutic agents.The approximate modeltransplanted and coupled to daily data base of peripheral blood countings was used to depict andcompare both of actual and simulated behavior of cell counts in X-Y plotted diagrams.4.Parameters Hematological Evaluation from Applicatin of the Approximated Model to theActual Leukemic cases . forty cases of acute leukemia were mounted on approximate models and analizedfor hematologic evaluation parameters relating with the Gl transitting speed and sensitivity ofleukemic cells.Some indices reflecting clinical aggravations also found. Less

In this study, we constructed mathematical models which describe cell count behavior in acute leukemia, based on the concept of cell kinetcs. We also developed a method to monitor the therapeutic effects of chemotherapy in acute leukemia by simulating and comparing cell count behavior in the computer, in which mathematical models of cell kinetics are transplanted. The following results were obtained1.Construction of a Mathematical Model, Describing Cell count Behavior of Normal Granulocytic and Leukemic Cells during Chemotherapy, based on the Principles of Cell Kinetics.Kinetics of normal granulocytic and leukemic described in terms of 4 compartments, including G0, G1, S・G2・M and terminally matur cells. (Detailed Mathematical Model). Mathematical models contain indices relating with cell proliferation , sensitivity of cells to drug and the concentrations of the drugs in vivo. This model enables us to simulate cell count behavior of acute and chronic leukemia, as native and modified by … More chemotherapeutic agents as well. The simulated kinetics proved satisfactory. as compared with the actural daily cell count behaviors.2. Construction of the Approximate Mathematical Model which is applicable to Clinical follow-up of Cases with Acute Leukemia.The detailed mathematical models was modified into an approximate model which can describe cell count behavior in leukemia, only bythe peripheral cell counts. The approximate model was applied to actual cases with acute leukemia and parameters characteristics to individual cases was determined and compared. Individualized approximate model could simulate well the actual cell count behavior in each case during chemotherapy.3. Transplantation of the Detailed and Approximate Models into Personal Computer. Both detailed and approximate mathematical models were transplanted in NEC PC9801. The detailed model yielded good simulation patterns of cell count behavior during the presumed administration of chemotherapeutic agents.The approximate model , transplanted and coupled to daily data base of peripheral blood countings was used to depict and compare both of actual and simulated behavior of cell counts in X-Y plotted diagrams.4. Hematological Evaluation of Parameters Obtained from Applicatin of the Approximated Model to the Actual Leukemic Cases.Forty cases of acute leukemia were mounted on approximate models and analized for hematologic evaluation parameters relating with the Gl transitting speed and sensitivity of leukemic cells.Some indices reflecting clinical aggravations were also found. Less