Construction of a generalized model of the harmful substances biochemical destruction process kinetics under conditions of substrate inhibition using the methods of simulation modeling
Journal Title: Восточно-Европейский журнал передовых технологий - Year 2019, Vol 3, Issue 10
Abstract
<p>For the purpose of obtaining the complete range of solutions for substrate inhibition of varying intensity, the mechanism of enzyme kinetics in a biocell was modeled by a multi-channel queuing system. A full range of solutions is required to make a well-grounded choice of a unified generalizing formula. The process of biodegradation with substrate inhibition was described mathematically using the method of dynamics of averages. For specific destruction rate, a full range of solutions <em>V<sub>n</sub></em> of the system from minimum <em>n</em>=2 to limiting <em>n</em>→∞ order was found. It was established that the parameters of the curve shape for the solution with minimum inhibition intensity <em>V</em><sub>2</sub> substantially stand out from the general series of the spectrum formulas. The value of the coordinate of function maximum (<em>n</em>=2) <em>V</em><sub>2</sub> is by 1.42 times higher than that of dependence (<em>n</em>=3) <em>V</em><sub>3</sub>.</p><p>In the numerical experiment, the physical test was simulated by description with the help of the method of the least squares of the data, assigned by the calculation from the formulas of different structures, bearing in mind a sporadic random error. The series of numerical experiments demonstrated the capability of the formula of limiting order formula <em>V<sub>e</sub></em> to describe the dependences of the whole spectrum of solutions. During describing the intermediate ratio <em>V</em><sub>3</sub> with the help of formulas <em>V</em><sub>2</sub> and <em>V</em><sub>e</sub>, the benefit is the possible range of changing the concentrations, which is by 1.5‒2 times larger at the same relative error for dependence <em>V<sub>е</sub></em>. For critical minimal order, an average relative error is sure not to exceed five percent. An increase in random error always result in statistical equality, in accuracy of describing by formulas of minimal <em>V</em><sub>2</sub> and limiting orders <em>V<sub>e</sub></em> of the data, assigned by calculation of second-order dependences. Statistical equality is achieved at the ratio of a random error to the initial error equal to ≥2.4.</p><p>Collectively, the importance of the results of numerical modeling of a physical experiment involves proving the possibility of using the formula of limiting order <em>V<sub>e</sub></em> as unified when describing the biodegradation processes with different mechanisms of substrate inhibition. This conclusion is proved by the adequate (<em>R</em><sup>2</sup>=0.9396‒0.9953) description with the help of the dependence of limiting order of experimental data on five harmful substances with varying inhibition degrees. A large amount of calculation allowed achieving a definite result – we obtained the unified formula that makes it possible to proceed to scientifically grounded design calculations for bio-treatment plants.</p>
Authors and Affiliations
Ganna Bakharievа, Tetiana Falalieieva, Serhii Petrov, Iryna Mezentseva, Borys Kobylianskyi, Ihor Tolkunov, Oleksandr Bondarenko
Keywords
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- EP ID EP666482
- DOI 10.15587/1729-4061.2019.166571
- Views 55
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