Events

What is the origin of the high brain complexity that explains the deep intricacies and refined levels of cognitive integration in the brain to form, for example, memory and consciousness?

We consider a periodic parabolic singularly perturbed boundary value problem for the Tikhonov system: a singularly perturbed system with fast and slow equations. An asymptotic approximation of the solution to the problem is constructed, conditions for the existence of a solution and its asymptotic stability according to Lyapunov are obtained for these solutions as solutions to the corresponding initial-boundary value problems for this system, both in the case of various types of quasi-monotonicity and in the case of its violation.

A finite additive measure will be constructed on a separable Hilbert space, invariant with respect to a shift to any vector. Invariance will allow us to construct smoothed functions differentiable along any coordinate direction, embedded in quadratically integrable functions, as well as tightly defined Laplace operator and Hamiltonian of an infinite-dimensional quantum oscillator. By analogy with the finite-dimensional case (Yu.N.Orlov, V.Zh.Sakbaev, D.V.Zavadsky), an approximation of the evolution of a quantum oscillator will be proved by averaging random shifts in the coordinate and pulse representations.

The uncontrollable proliferation of human papillomavirus (HPV) can cause severe cervical cancer. The objective of this work is to study the optimal control of HPV viral replication and its consequence in reducing cervical cancer cells. For this purpose, the dynamics involving healthy cells, HPV and cervical cancer cells will be modelled by a system of five differential equations.

This presentation is dedicated to the modification of the Biginelli reaction for the synthesis of trisubstituted imidazoles from readily available acyclic N, N-bis-nucleophiles, 2-oxoaldehydes and 1,3-dicarbonyl compounds. Most of the synthesized products were successfully used in the subsequent photocyclization reaction to form structurally interesting polycyclic molecules. The replacement of N, N-bis-nucleophiles to ketenaminals allowed to carry out a similar process in a chemoselective manner to obtain a diverse library of fused polyheterocycles including pyrrolo[2,1-b]thiazoles, pyrrolo[1,2-a]imidazoles and imidazo[1,2-a] quinolines.

The interdepartmental scientific seminar “The pragmatic and semantic basis of the thematic cluster “Education” in modern English-language media discourse” is aimed at introducing participants to the presentation of issues related to the educational sphere addressed in the English-language media and the Internet.

The scientific seminar is dedicated to improving the quality of teaching foreign languages and cultures in accordance with the new challenges posed to humanitarian education; expanding active contacts with scientists and teachers of foreign languages and humanities from leading universities, raising the status of foreign languages and humanities, developing the academic reputation of the RUDN University named after Patrice Lumumba and the incoming mobility of leading scientists.

The lecture will cover the basics of this theory including the existence of saddle points, methods of their approximation and numerical algorithms. The connections between minimax formulations and nonlinear boundary value problems involving variational inequalities will also be shown.

The talk will address the question of control, by distributed source, of scalar conservation laws and of abstract evolution equations. Questions of attainability and backward constructions are also studied. For the case of scalar conservation laws with strictly convex flux (like the Hopf equation), an almost optimal result on subdomain control is established.

The talk is devoted to the theory of matrix quasi-elliptic operators. For some classes of quasi-elliptic operators, isomorphism theorems in special weighted Sobolev spaces are formulated. The results obtained are applied to the study of solvability of equations and systems of Sobolev type.

In various physiological and biological functions, bioactive materials as a key technique or procedure hold promise for the achievement of therapeutic effects in animals or humans. Recently, due to the outstanding features of biomaterials, more attention has been concerned to their applications in industry and medicine.

Sanofi is the world leader in human vaccines, suppling of over 2.5 million doses of vaccines every day allowing immunize more than half a billion people per year against 20 diseases. Mathematical modelling efforts applied to vaccine production aim to accelerate innovation, optimize process design and operation, provide better control and reduce experimentation. Here we will present some examples of mathematical models of different production stages as well as different techniques which are used in Marcy l'Etoile Site of Sanofi, the world's largest vaccine research, development and production site.

This talk examines the possibility of constructing a set of complex numbers, in which it is possible to determine an order relation between its elements for use in solving mathematical problems.

The integration of 5G technologies is becoming a must for mobile network operations (MNOs) to remain efficient in the marketplace and efficiently Multi-access edge computing (MEC) is one of the key elements of solving critical problems in telecommunications. Optimizing application placement in MEC-based networks requires including as many options as possible for better deployment.

The challenges of examining random partitions of space are a significant class of problems in the theory of geometric transformations. Richard Miles calculated moments of areas and perimeters of any order (including expectation) of the random division of space in 1972.

The career of a teacher has always been considered prestigious and honorable. What qualities and competencies should a teacher have? At the lecture, we will talk about the necessary competencies for working with electronic databases, registers of unique identifiers of researchers, forms of virtual scientific communication, analytical tools for presenting the results of scientific activity and choosing a journal for their publication and personal publication strategy.

Turing instability of coexistence homogeneous steady-state for reaction-diffusion systems in population biology often leads to stationary patterns.

In this talk, we will present some results on global existence and scattering for the damped inhomogeneous nonlinear Schrödinger equation. We will first discuss a local well-posedness theory which enables us to reach the critical case and to unify results for the homogenous case and the inhomogeneous.

The talk will cover topics related to Boyarsky-Meyers estimates of gradients of solutions of boundary value problems for elliptic equations.

The meeting was initiated with the aim of establishing academic links between students for the further joint projects implementation. Event participants will have a unique opportunity to exchange information about projects in the field of environmental protection and sustainable resources use.

Acyl(imidoyl)ketenes are highly reactive heterocumulenes that enable diversity-oriented synthesis of various drug-like heterocycles. Such ketenes, bearing heterocyclic substituents, afford angularly fused pyridin-2(1H)-ones in their [4+2]-cyclodimerization reactions. We have utilized this property for the development of a new synthetic approach to pharmaceutically interesting pyrido[2,1-b][1,3]benzothiazol-1-ones via the [4+2]-cyclodimerization of acyl(1,3-benzothiazol-2-yl)ketenes generated in situ. The thermal behaviors of 3-aroylpyrrolo[2,1-c][1,4]benzothiazine-1,2,4-triones and 3-benzoylpyrrolo[2,1-b][1,3]benzothiazole-1,2-dione (two new types of [e]-fused 1H-pyrrole-2,3-diones) have been studied by thermal analysis and HPLC to elucidate their capability to be a source of acyl(1,3-benzothiazol-2-yl)ketenes. As a result, we have found that only 3-aroylpyrrolo[2,1-c][1,4]benzothiazine-1,2,4-triones are suitable for this. The experimental results are supplemented with computational DFT studies of the possible reaction mechanisms that demonstrate that thermolysis of 3-aroylpyrrolo[2,1-c][1,4]benzothiazine-1,2,4-triones proceeds through an unprecedented cascade of two thermal decarbonylations.

The Department of International Law, represented by Ph.D. Associate Professor of the Department of International Law M.V. Ilyashevich is holding a scientific seminar generally titled as "Ensuring International Security: Problems and challenges".

The isocyanide is an interesting and unique functional group in organic chemistry. The carbon atom in isocyanide can act as a nucleophile, as an electrophile, as a carbine involved in formal [1 + 4] cycloaddition, and as a radical acceptor to form imidoyl radical reaction intermediates. Its nature of the isocyanide makes it capable reacting with different strategies with various reactants under reaction conditions. As a result, the reaction of isocyanide were usually carried out via unpredictable way and obtained unexpected products. In this presentation, numerous unexpected isocyanide-based multicomponent reactions from our research group will be presented.

Recently, the preparation of neoteric functional materials with multicomponent reactions strategy has interestingly enhanced the union of materials chemistry. The main components (amine, carboxylic, or carbonyl groups) of MCRs are usually present in the materials structure or can be easily announced on their surfaces. Hence, materials can contribute in MCRs for the greatly talented modified/functionalized materials synthesis. In this presentation, the design and functionalization/modification of nano-materials and natural polymers with application in the catalytically chemical transformations and in the CO2 fixation will be presented.