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In this work we propose mathematical model of important scientific and technical problem – estimating of remaining lifetime of constructions elements subjected to high temperature fatigue. The differential equation, with initial and final conditions, for assessing the remaining lifetime of three-dimensional solid was obtained. This mathematical model is formulated, based on energetic approach. Proposed...
Optimization of dialysis needs methods for quantitative assessment of hydraulic and oncotic pressure well as fluid and solute transport in body compartments. A mathematical model describing dynamics of these quantities during dialysis is presented. During dialysis, the blood volume often decreases; therefore, model includes the cardiovascular system. Mechanisms which react to blood volume loses are...
The model analyzed in this paper is based on the model set forth by V.A. Kuznetsov and M.A. Taylor, which describes a competition between the tumor and immune cells. Kuznetsov and Taylor assumed that tumor-immune interactions can be described by a Michaelis-Menten function. In the present paper a simplified version of the Kuznetsov-Taylor model (where immune reactions are described by a bilinear term)...
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