Mathematical modeling of bulk and directional crystallization with the moving phase transition layer

This paper is devoted to the mathematical modeling of a combined effect of directional and bulk crystallization in a phase transition layer with allowance for nucleation and evolution of newly born particles. We consider two models with and without fluctuations in crystal growth velocities, which are analytically solved using the saddle-point technique. The particle-size distribution function, solid-phase fraction in a supercooled two-phase layer, its thickness and permeability, solidification velocity, and desupercooling kinetics are defined. This solution enables us to characterize the mushy layer composition. We show that the region adjacent to the liquid phase is almost free of crystals and has a constant temperature gradient. Crystals undergo intense growth leading to fast mushy layer desupercooling in the middle of a two-phase region. The mushy region adjacent to the solid material is filled with the growing solid-phase structures and is almost desupercooled. © 2021 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons, Ltd.Russian Science Foundation, RSF: 21-79-10012The authors gratefully acknowledge financial support from the Russian Science Foundation (project no. 21-79-10012). Open Access funding enabled and organized by Projekt DEAL

IN MEMORY OF ARKADY VIKTOROVICH KRYAZHIMSKIY (1949–2014)

The article is devoted to the description of Academician Arkady Kryazhimskiy's life path. The facts of the scientific biography of Acad. Kryazhimskiy are presented with the emphasis on his outstanding contribution into the theory of dynamic inversion, the theory of differential games, and control theory. His personal talents in different spheres are also marked out

IN MEMORY OF ARKADY VIKTOROVICH KRYAZHIMSKIY (1949–2014)

The article is devoted to the description of Academician Arkady Kryazhimskiy's life path. The facts of the scientific biography of Acad. Kryazhimskiy are presented with the emphasis on his outstanding contribution into the theory of dynamic inversion, the theory of differential games, and control theory. His personal talents in different spheres are also marked out

МЕТОДИКА ИДЕНТИФИКАЦИИ ГЕНОТИПА TRICHINELLA SPIRALIS МЕТОДОМ ПОЛИМЕРАЗНОЙ ЦЕПНОЙ РЕАКЦИИ

Methods for interspecific and intraspecific differentiation of helminthes, iden-tification of genotype Trichinella spiralis using polymerase chain reaction are de-veloped. These methods detect DNA loci specific for genome T. spiralis and ena-bles to determine connection between natural and synanthropic trichinellosis in different biocenosis. Methods are based on interaction of synthesized oligonucleo-tide primers with DNA loci typical for this parasite genotype. The amplified frag-ment length is increasing. Electrophoresis of amplification products enables to vis-ualize the DNA fragments and find their molecular mass. The list of equipment and reagents is presented, the process of preparation of clinical trial materials, release of genomic DNA, preparation of reaction mixture for polymerase chain reaction, amplification and electrophoresis modes are describedРазработана методика межвидовой и внутривидо-вой дифференциации гельминтов, идентификации ге-нотипа Trichinella spiralis методом полимеразной цеп-ной реакции. Методика выявляет характерные для генома T. spiralis локусы ДНК и дает возможность устанавливать связь между природным и синантроп-ным трихинеллезом в различных биоценозах. Метод основан на взаимодействии синтезированных олиго-нуклеотидных праймеров со специфичными для дан-ного генотипа паразита локусами ДНК. Происходит рост амплифицируемого фрагмента, характерного для данного генотипа. Электрофорез продуктов амплифи-кации позволяет визуализировать фрагменты ДНК и определить их молекулярную массу. Приведен пере-чень оборудования и реактивов, дано описание про-цесса подготовки клинического материала, выделения геномной ДНК, подготовки реакционной смеси для полимеразной цепной реакции и режим проведения амплификации и электрофорез