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W pracy przedstawiono wyniki rozkładów prędkości uzyskanych z modelu matematycznego SSIIM (Simulation of Sediment movements In water Intakes with Multiblock). Prędkości obliczono dla geometrii wyboju lokalnego pomierzonego w 2007 r. na i poniżej progu numer 4 (km 479+225) zlokalizowanego poniżej zbiornika retencyjnego Jeziorsko. Wykorzystany model zweryfikowano na podstawie własnych badań terenowych...
This article is devoted to the use of a mathematical model of a flood runoff for calculating rainfall runoff hydrographs from small catchments of the northwest coast of the Black Sea. The described model was tested and applied for the following catchments located in various geographical conditions, with various amounts of initial data: experimental catchments in Zacarpathian, the northwest of the...
There were formulated two general approaches to the problem under consideration indicating the experimental data sources. Mathematical symbols were introduced to denote each plant part and describe its function. There was constructed a discrete two – dimensional dynamical system that depicted Scots pine growth process followed by making suitable assumptions on its components. It has been found that...
The paper presents the structure of the database and methods for determining the necessary parameters of the properties of substances used for modeling the consequences of accidents at high-risk enterprises. The formulas for the approximation functions of thermophysical parameters and methods for obtaining the coefficients for them, as well as the formulas and methods for obtaining the coefficients...
Activated Sludge Model No. 1 (ASM1) was used in the modeling of an activated sludge system treating effluents from an oil refinery. The measurements of the diurnal variation in wastewater flow and composition at the wastewater treatment plant inlet and outlet were carried out. The calibrated model predicting the influence of changes in the wastewater composition and the operational parameters on the...
The effect of the reaction conditions (substrate concentration, enzyme dosage, and pH) on cyclodextrin production by cyclodextrin glucanotransferase from Bacillus megaterium was investigated by applying mathematical modeling methods. Adequate models were developed and they were used for determination of the optimal conditions for maximal formation of β-cyclodextrins at minimal concentrations of α-...
Istotnymi zagadnieniami związanymi bezpośrednio z modelowaniem i tym samym rozwiązywaniem równań różniczkowych związanych z przepływem wody w glebie jest zastosowanie analitycznych zależności opisujących krzywe retencyjności wodnej gleb. Zależności te mogą w znaczny sposób ułatwić, czy nawet skrócić czas wykonania bezpośrednich oznaczeń laboratoryjnych. W pracy poddano szczegółowej analizie wyznaczenie...
The composition of a synthetic culture medium for levorin biosynthesis by Streptomyces levoris 99/23 was optimised using mathematical modelling methods. The optimal concentrations of the medium components were established by means of an optimum composition design at three factor variation levels. An adequate regression model was obtained. Levorin biosynthesis by Streptomyces levoris 99/23 in the optimised...
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