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In the book is represented the computer model of the behavior of gas bubble both in the Earth's conditions and in the conditions of the acceleration of gravity change. The computer model of the behavior of gas bubbles in the vibrating liquid with a change of the acceleration of the gravity is shown. The developed computer models have been proved experimentally during the process of the conducted tests on the board of the flying laboratory (FL) IL-76 K and showed the possibility of their practical use for the simulation of the behavior of real gas bubbles in the life-support systems and power supply technological processes of automatic spacecraft, in the conditions of real space flight. The computer system of optimal interpolation prognosis illustrates, which permits to create the medico-mathematical model of tumor, numerically reflecting all laws governing the flow of tumor process after the conducted treatment, to plan the optimum tactics of postoperative control, of the selection of the periods of test survey and regimes of the preventive treatment of oncological patients, to determine the effectiveness of the used methods of treatment of the oncological patients.