USE OF SHYDLOVSKY, LANGMUR, MICHAELIS-MENTHEN EQUATIONS FOR CHARACTERISTICS OF MEDICINAL SUBSTANCES.
DOI:
https://doi.org/10.18372/2310-5461.68.20442Keywords:
adsorption, enzymatic reactions, surface tension, mathematical model, structural parameter non-identifiabilityAbstract
In the work based on experimental and simulated data, the issue of the reliability of determining the coefficients of the Shydlovsky, Langmuir, Michaelis-Menten equations for the characteristics of medicinal substances at small values of independent variables is considered.
The problem of determining the coefficients of Shydlovsky, Langmuir, Michaelis-Menten under different conditions of experimental experiments is identified and explained. The results of mathematical modeling of the kinetics of enzymatic catalysis and proposals for the choice of the substrate concentration interval are presented.
It is established that for small values of independent variables of the equations of Shidlovsky, Langmuir, Michaelis-Menten, when determining the coefficients, it is necessary to take into account the presence of correlation between them. It is proved that for small values of independent variables of the equations of Shidlovsky, Langmuir, Michaelis-Menten, structural non-identity of parameters of mathematical models occurs.
The analysis of the shape of the surface of the objective functions of the studied mathematical models indicates the presence of a canyon with an almost flat bottom, which complicates the calculations of reliable parameters of mathematical models
The obtained experimental results from measurements of surface tension and adsorption confirm the possibility of structural non-identity of parameters of mathematical models.
Further research will be aimed at studying and analyzing methods for obtaining reliable values of parameters of mathematical models, which can be an important step in planning the conditions for conducting experimental experiments in chemistry and chemical technology of pharmaceuticals.
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