scholarly journals Mathematical Model of Kinetics of Antigens Accumulation in the Process of Periodical Submerged Cultivation of Vibrio cholerae 569В Inaba with Limitation as Regards Carbonic Substrate

Author(s):  
A. V. Komissarov ◽  
A. K. Nikiforov ◽  
S. N. Zadokhin ◽  
S. A. Eremin ◽  
O. A. Volokh ◽  
...  
Author(s):  
A. V. Komissarov ◽  
A. K. Nikiforov ◽  
S. N. Zadokhin ◽  
S. A. Eremin ◽  
O. A. Volokh ◽  
...  

Presented is mathematical model of kinetics of the process of O-antigen and cholera toxin synthesis during periodical submerged cultivation of V. cholerae 569В Inaba with limitation as regards carbonic substrate. The proposed model is based upon analysis of experimental data on V. cholerae 569В Inaba biomass and antigens accumulation, rate of growth and antigens release, and glucose utilization. Using Mathcad 15.0 software calculated are coefficients of differential equations entering into the mathematical model. Comparison of predicted and experimental data demonstrates that relative error of determination of concentrations of the synthesized substances, glucose and cholera vibrio is between 5 and 20 %. The proposed model permits to determine maximum output of final products and specify the parameters of cultivation process performance at different initial conditions.


2020 ◽  
Vol 36 (3) ◽  
pp. 82-89
Author(s):  
O.V. Gromova ◽  
O.S. Durakova ◽  
S.V. Generalov ◽  
L.F. Livanova ◽  
O.A. Volokh

Том 36(2020) №3 стр. 82-89; DOI 10.21519/0234-2758-2020-36-3-82-89А.В. Гаева1*, О.В. Громова1, О.С. Дуракова1, С.В. Генералов1, Л.Ф. Ливанова1, О.А. Волох1 Определение специфической активности компонентов холерной химической вакцины с использованием культуры клеток 1ФКУЗ «Российский научно-исследовательский противочумный институт «Микроб»» Федеральной службы по надзору в сфере защиты прав потребителей и благополучия человека, Саратов 410005 *[email protected] Поступила - 2019-11-26; После доработки - 2020-03-16; Принята к публикации - 2020-05-15 Список литературы Описаны методы определения динамики продукции токсинов штаммом Vibrio cholerae 569B при глубинном культивировании в биореакторе и антигенной активности специфической фракции холерогена-анатоксина по анатоксинсвязыванию с использованием клеточных культур. Показана высокая степень соответствия результатов, полученных методами, применяемыми для контроля этапов производства холерной химической вакцины и рассмотренными в данной работе. Отмечено, что применение клеточной линии СНО-К1 наиболее перспективно для замены биомоделей на промежуточных этапах контроля активных компонентов холерной химической вакцины. Разработанный методический подход впервые предлагается использовать на этапах производства холерной бивалентной химической вакцины. культура клеток, Vibrio cholerae, холерная химическая вакцина, контроль производства, холера. Vol 36(2020) N 3 p. 82-89; DOI 10.21519/0234-2758-2020-36-3-82-89A.V. Gaeva1*, O.V. Gromova1, O.S. Durakova1, S.V. Generalov1, L.F. Livanova1, O.A. Volokh1 Determination of Specific Activity of Cholera Chemical Vaccine Components using Cell Culture 1Russian Research Anti-Plague Institute «Microbe» of the Federal Service for Surveillance on Consumer Rights Protection and Human Wellbeing, Saratov, 410005 *[email protected] Received - 26.11.2019; Accepted - 15.05.2020 References The methods has been described to determine the dynamics of toxin production by the Vibrio cholerae 569B strain during submerged cultivation in bioreactor and of the antigenic activity of specific choleragen anatoxin fraction by anatoxin binding levels using cell cultures. High degree of consistency was observed between the results obtained via the method under consideration and those obtained via control methods at different stages of cholera chemical vaccine production. It was shown that the CHO-K1 cell line is the most promising substitute for biomodels at the intermediate stages of control of active cholera chemical vaccine components. The developed methodological approach was first proposed for use at the stages of cholera chemical bivalent vaccine manufacturing. cell culture, Vibrio cholerae, cholera chemical vaccine, production control, cholera.


Author(s):  
Л.Ф. Сафиуллина

В статье рассмотрен вопрос идентифицируемости математической модели кинетики химической реакции. В процессе решения обратной задачи по оценке параметров модели, характеризующих процесс, нередко возникает вопрос неединственности решения. На примере конкретной реакции продемонстрирована необходимость проводить анализ идентифицируемости модели перед проведением численных расчетов по определению параметров модели химической реакции. The identifiability of the mathematical model of the kinetics of a chemical reaction is investigated in the article. In the process of solving the inverse problem of estimating the parameters of the model, the question arises of the non-uniqueness of the solution. On the example of a specific reaction, the need to analyze the identifiability of the model before carrying out numerical calculations to determine the parameters of the reaction model was demonstrated.


2018 ◽  
Vol 78 (9) ◽  
pp. 1916-1924 ◽  
Author(s):  
Lucie Pokorna-Krayzelova ◽  
Dana Vejmelková ◽  
Lara Selan ◽  
Pavel Jenicek ◽  
Eveline I. P. Volcke ◽  
...  

Abstract Hydrogen sulfide is a toxic and usually undesirable by-product of the anaerobic treatment of sulfate-containing wastewater. It can be removed through microaeration, a simple and cost-effective method involving the application of oxygen-limiting conditions (i.e., dissolved oxygen below 0.1 mg L−1). However, the exact transformation pathways of sulfide under microaerobic conditions are still unclear. In this paper, batch experiments were performed to study biochemical and chemical sulfide oxidation under microaerobic conditions. The biochemical experiments were conducted using a strain of Sulfuricurvum kujiense. Under microaerobic conditions, the biochemical sulfide oxidation rate (in mg S L−1 d−1) was approximately 2.5 times faster than the chemical sulfide oxidation rate. Elemental sulfur was the major end-product of both biochemical and chemical sulfide oxidation. During biochemical sulfide oxidation elemental sulfur was in the form of white flakes, while during chemical sulfide oxidation elemental sulfur created a white suspension. Moreover, a mathematical model describing biochemical and chemical sulfide oxidation was developed and calibrated by the experimental results.


2018 ◽  
Vol 14 (1) ◽  
Author(s):  
Bahador Abolpour ◽  
M. Mehdi Afsahi ◽  
Ataallah Soltani Goharrizi

Abstract In this study, reduction of in-flight fine particles of magnetite ore concentrate by methane at a constant heat flux has been investigated both experimentally and numerically. A 3D turbulent mathematical model was developed to simulate the dynamic motion of these particles in a methane content reactor and experiments were conducted to evaluate the model. The kinetics of the reaction were obtained using an optimizing method as: [-Ln(1-X)]1/2.91 = 1.02 × 10−2dP−2.07CCH40.16exp(−1.78 × 105/RT)t. The model predictions were compared with the experimental data and the data had an excellent agreement.


2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Harrond Nimjieu Takoudjou ◽  
Nicodème R. Sikame Tagne ◽  
Peguy R. Nwagoum Tuwa ◽  
Médard Fogue ◽  
Ebenezer Njeugna

In an industrial context where the use of friendly materials is encouraged, natural fibers of vegetable origin become more solicited for the reinforcement of composite materials. This work deals with the modeling of the hygro-mechanical behavior through raffia vinifera fiber during the diffusion phenomenon. The modeling of water diffusion through the raffia vinifera fiber is described by Fick’s second law and taking into account the swelling phenomenon of the fiber. The equation obtained is solved numerically by the finite difference method, and the evolution of the fiber radius as a function of time is obtained. By applying the Leibniz integration rule, a mathematical expression to predict the evolution of this radius as a function of time is proposed. It is observed numerically and analytically an increase of the dimensionless fiber radius with time up to a critical value after what one observes the saturation. This model allowed us to propose a mathematical model describing the absorption kinetics of the raffia vinifera fiber through its absorption ratio. By comparing the results of this model with the experimental results from the literature, one observes a good agreement. Moreover, the induced stresses in the fiber during the water diffusion can also be estimated with the proposed mathematical model expression of fiber. These stresses increase with time and can reach between 5 and 7 GPa. The results of this work can be used to predict the behavior of the raffia vinifera fiber inside a composite material during its development.


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