Mathematical Modeling of Cryochemical Formation of Medicinal Substances in Nanoforms. The Role of Temperature and Dimensional Parameters
Author:
Astashova Irina1, Chechkin Gregory1, Filinovskiy Alexey1, Morozov Yuriy2, Shabatina Tatyana2
Affiliation:
1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory, 1, 119991, Moscow, RUSSIA 2. Faculty of Chemistry, Lomonosov Moscow State University, Leninskie Gory, 1-3, 119991, Moscow, RUSSIA
Abstract
The work is aimed at creating a mathematical model of cryochemical synthesis of nanoforms of pharmaceutical substances. The therapeutic efficacy of pharmaceutical substances largely depends on the size and morphology of the particles. Reducing the particle size of pharmaceutical substances to nanoscale makes it possible to obtain highly effective drugs, which makes it possible to use smaller doses of drugs and, thus, reduce side effects and toxicity. Cryochemical synthesis is one of the most powerful methods for obtaining nanoforms of medicament. The method, which is completely new, is based on sublimation or evaporation of the initial pharmaceutical substance under high vacuum conditions and the introduction of the resulting vapors into an inert gas stream, followed by low-temperature condensation of the flow of molecules of the substance from the gas phase on the cooled surface. The first step in the mathematical modeling of cryochemical synthesis processes is the calculation of the temperature field in the carrier gas flow interacting with the cooled surface. For this purpose, a stationary equation of thermal conductivity with mass transfer is used for the one-dimensional case. We prove existence and uniqueness theorems of the solution. Analytical solutions of the equation for Dirichlet, Neumann and Robin boundary conditions are found.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Subject
General Agricultural and Biological Sciences,General Biochemistry, Genetics and Molecular Biology,General Medicine,General Neuroscience
Reference36 articles.
1. Synthesis and functional properties of nanoforms bioactive and medical substances, Edited by M. Y. Melnikov and L. I. Trachtenberg, Moscow, Techno-Sphere. 2019, 383 pp. 2. Shabatina Tatyana I., Vernaya Olga I., Shabatin Vladimir P., Evseeva Iuliia V., Melnikov Michail Ya., Fitch Andrew N., Chernyshev Vladimir V. Cryochemically Obtained Nanoforms of Antimicrobial Drug Substance Dioxidine and Their Physico-chemical and Structural Properties, Crystals, 2018, v. 8, No 7, p. 298. 3. Vernaya O. I., Shabatin V. P., Shabatina T. I., Khvatovb D. I., Semenov A. M., Yudina T. P., Danilov V. S. Cryochemical Modification, Activity, and Toxicity of Dioxidine Nanoforms, Russian Journal of Physical Chemistry A, Pleiades Publishing, Ltd (Road Town, United Kingdom), 2017, v. 91, No 2, pp. 229–232. 4. S. Domingos, V. André, S. Quaresma, I. C. B. Martins, M. F. Minas Da Piedade and M. T. Duarte, J. Pharm. Pharmacol., 2015, 67, 830. 5. K. M. R. Srivalli and B. Mishra, Saudi Pharm. J., 2016, 24, 386.
|
|