Online ISSN: 2515-8260

Keywords : mathematical model


Temperature change in the density of states and band gap of a semiconductor

Dadamirzaev Muzaffar Gulomkodirovich; Sharibaev Nosir Yusupjanovich

European Journal of Molecular & Clinical Medicine, 2021, Volume 8, Issue 1, Pages 679-684

In this work, the temperature dependence of the density of states is investigated using a mathematical model. The temperature broadening of the allowed bands in semiconductors is estimated. A convenient formula for calculating the temperature dependence of the bandgap of silicon is obtained using the approximation. Comparison of the experimental curve of the temperature dependence of the band gap and the curve according to the obtained formula for silicon showed agreement.

Numerical Study of Tumor Growth : Tumor Development, Tumor Cells Movement and Cell–Matrix Interactions

Neeta D. Kankane; Dhanke Jyoti Atul

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 2, Pages 5483-5496

In this paper we present a mathematical model of the tumor development, tumor cells movement and cell–matrix interactions. This model is considered tumor cells, concentration of oxygen, concentration of nutrient, changes in their microenvironment (tumor angiogenic factors (TAF), extracellular matrices (ECM)) and their matrix of blood vessels, expressed by a chain of discrete tips. With this mathematical model and the results of numerical simulation, the cell properties are closely individual-based cell interactions, can affecting the tumor shape, the tumor’s final structure and also discussed which of these interactions is perhaps tumor cells are discrete. Also we described the procedure of tumor development and the changes in microenvironment from avascular to vascular phase, indicating that the matrix of blood vessels develops step by step as the tumor grows.

Mathematical Modelling of Supply Chain under Current COVID’19 Business scenario with the Review Study on the Fuzzy Logic based Supply Chains

B. Nishanth; S. Priyanka; Venkatesh Kannan; A. Muhammad Raheel Basha; J. Dinesh; R. Muruganandham; V. Harish

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 2, Pages 4972-4981

Organisation should focus on raw material flow, and process flow for the smooth running of supply chain. And the success of the supply chain depends on the demand aspects of the market too. Designing a supply chain does involve many challenges in all the flows mentioned above. This article is a review study of Fuzzy logic has been applied in modelling the supply chain. Besides the article also suggests briefly the initial requirements of evolving a mathematical model for an integrated supply chain

Mathematical modeling of Glucose, Insulin, -Cell Mass: Homotopy Perturbation Method Approach

K. Saranya; T. Iswarya; V. Mohan; K. E. Sathappan; L. Rajendran

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 2, Pages 3513-3530

kinetics. This paper provides the theoretical and numerical solutions of the
nonlinear differential equation system.The homotopy perturbation method (HPM) is used to find
analytical expressions of the glucose, Insulin, and  -cell mass respectively. A comparison is
also provided between analytical approximation and numerical simulation. A reasonable
agreement between theoretical and simulation results is founded.

Pharmacokinetic Studies Of "Fensulkal" Suppositories And Mathematical Modeling Of Their Parameters.

Tillaeva U.M .; Kamal S. Rizaev

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 3, Pages 3306-3316

In recent years, research on the pharmacokinetics of medicinal substances has become of exceptional importance both in terms of increasing the efficiency and safety of drug treatment of various diseases. In the development of a drug, the determining factor becomes the need to ensure a uniform release of the drug from the form-forming component, which is established in in vitro and in vivo experiments. Pharmacokinetic studies of the non-steroidal anti-inflammatory drug phenylglyoxylic acid derivative fensulcal in rectal dosage form suppositories have been studied. The studies were carried out according to the developed methods for the detection and release of fensulcal in biological fluid. According to the dynamics of release in in vivo experiments , it was found that the maximum concentration of fensulcal in the blood was reached after 1 hour. The study of the parameters in the in vitro and in vivo experiments led to the need to calculate the degree of their correlation. A high degree of correlation was established. The results on the value of the correlation coefficient indicating the existence of a direct relationship between the intensity of release in experiments in vitro and its entry into the blood in vivo after rectal administration of suppositories to animals.
To assess the effect of a drug and its routes of administration on the rate of absorption of drugs and bioavailability, formalization of their pharmacokinetics was carried out in the form of a one- or two- part model . To assess the pharmacokinetics of Fensulkal suppositories, model-independent parameters were calculated taking into account a 2-chamber model. The results indicate that the maximum amount of fensulcal in the blood is observed 1 hour after administration (P <0.05 ). After reaching the maximum concentration, fensulcal is distributed in organs and tissues at a speed of 504.03 / min. Elimination of the drug proceeded at a lower rate, K β , h -1 = 0.0182. The constants of the fensulcal transition from the central to the peripheral chamber and vice versa are calculated. From the presented data follows K 21 >> K 12 , which indicates the absence of drug accumulation in the tissues.