RUDN University soil scientists were able to visualise for the first time the activity of the phosphatase enzyme in the soil surrounding the roots of a plant by simultaneously using zymography and a fibre optic acidity sensor. This helped them to see how the plants “adjust” their root system to the environment. The study was published in the journal Soil Biology and Biochemistry.

RUDN University bioengineers have created magnetic nanocontainers for “smart” delivery of drugs in the body. Thanks to them, the active substance enters only certain organs or tissues, which reduces the risk of side effects. In an experiment on mice, it was shown that nanocontainers are non-toxic and not dangerous. The results of the study are published in the journal Polymers.

A RUDN University chemist has created a catalyst for wastewater treatment that removes paracetamol – one of the most commonly prescribed antipyretics. This medicine is excreted from the body through the kidneys and enters the sewage, where it does not decompose and can pose a threat to people and the environment. The chemist managed to create a catalyst based on silver sulfide, zinc oxide, and graphene oxide to decompose paracetamol under light irradiation. The study is published in the journal Separation and Purification Technology.

Mathematical modeling in Biomedicine

The laboratory is a structural subdivision of the Mathematical Institute. S. M. Nikolsky specializes in the field of mathematical modeling.

TypeLaboratory

Scientific center of nonlinear problems of mathematical physics

The center is a structural subdivision of the S.M. Nikol’skii Mathematical Institute specializes in the field of mathematical physics.

TypeCenter

Heidelberg, Germany

University

Giessen, Germany

University

Joint research work with H.-O.-Walther, an employee of Justus Liebig University. Sufficient terms of hyperbolicity and stability of periodic solutions of nonlinear functional-differential equations were obtained. The results of the work are reflected in the articles: - Walter H.-O., Skubachevskii A. L. On hyperbolicity of rapidly oscillating periodic solutions to functional differential equations. // Journal “Functional analysis and its applications”, Vol. 39, is. 1, M., 2005, p. 82-85. - Walter X-Skubachevskii A. L. On hyperbolicity of solutions with irrational periods of some functional differential equations. // Journal “Proceedings of the Russian Higher School Academy of Sciences”, Vol. 402. №2, M., 2005, p. 151-154.

Field of cooperation: hyperbolicity of periodic solutions of nonlinear functional-differential equations.

Munich, Germany

University

- Publication of joint works in high-rated journals

We are working on the joint article “Spherical symmetric stationary solutions of the Vlasov – Poisson equation” with J. Batt, an employee of Ludwig Maximilian University of Munich.

Jena, Germany

University

- Publication of joint works in high-rated journals.

Joint research work with D. Haroske, an employee of Friedrich Schiller University Jena. Evaluation of the uniform modulus of continuity for Bessel potentials, accurate evaluation of the majorant of modules of continuity and optimal embedding for generalized Bessel potentials were obtained, optimal Calderon space for Bessel potentials and optimal Calderon space for generalized Bessel potentials were built.

Hannover, Germany

University

- Publication of joint papers in high-rated journals

Mathematicians of RUDN University (Professor B. Yu. Sternin, Professor A. Y. Savin) with mathematicians of the University of Hannover (Prof. Dr. Elmar Schrohe) analyze actual problems of elliptic theory and noncommutative geometry in joint scientific works. In particular, an explicit uniformization for elliptic operators associated with groups of shift operators was found out. The terms for the Fredholm property of the operators associated with groups of quantized canonical transformations were obtained.

A.Yu. Savin, B.Yu. Sternin, E. Schrohe, “Index problem for elliptic operators associated with a diffeomorphism of a manifold and uniformization”, Proceedings of the Russian Higher School Academy of Sciences, 441:5 (2011), 593–596; A.Yu. Savin, B.Yu. Sternin, E. Schrohe, “Index problem for elliptic operators associated with a diffeomorphism of a manifold and uniformization”, Dokl. Math., 84:3 (2011), 846-849

A.Yu. Savin, B.Yu. Sternin, E. Schrohe, “On the Index Formula for an Isometric Diffeomorphism”, Journal of Mathematical Sciences, 201:6 (2014), 818–829

A.Yu. Savin, E. Schrohe, B. Sternin, “Uniformization and Index of Elliptic Operators Associated with Diffeomorphisms of a Manifold”, Russian Journal of Mathematical Physics, 22:3 (2015), “410–420”

Padova, Italy

University

- Publication of joint works in high-rated journals.

Accurate stability evaluation for the variation of eigenvalues of nonnegative selfadjoint elliptic operators of arbitrary even order when changing the open sets on which they are defined were obtain with P. D. Lamberti, M. Lanza de Cristoforis, Feleqi E. This evaluation is expressed in terms of Lebesgue measure of the symmetric difference of open sets. The boundary terms of Dirichlet and Neumann were analyzed.

Field of cooperation: spectral theory.

Baku, Azerbaijan

Research Institute

- Publication of joint works in high-rated journals.

Field of cooperation: theory of operators in Morrie type spaces.

Ramat-Gan, Israel

University

- Publication of joint works in high-rated journals.

The terms that ensure the boundedness of Hausdorff operators in Morrie spaces were obtained together with E. Liflyand. The classes of Hausdorff operators for which the necessary and sufficient terms of boundedness coincide were described.

Praga, Czech Republic

Research Institute

- Publication of joint works in high-rated journals.

Necessary and sufficient terms for the boundedness of fractional maximal operators in general Morrie local spaces are for a wide class of admissible values of numerical parameters were obtained together with A. Gogatishvili. Sufficient and necessary terms for this kind of limitation for a certain range of parameters were obtained.

Uppsala, Sweden

University

Joint research work with A. Bouchnita. Mathematical models and computer programs for describing the coagulation of blood in the stream considering biochemical reactions in the plasma and aggregation of platelets were developed. The terms of normal clot growth and thrombosis were obtained. Two articles are in print this year.

Nashville, USA

University

Joint research work with M. Koury. The mathematical model was developed, computer calculations and comparisons with experimental data of erythropoiesis functioning on the basis of erythroblastic islands were carried out. The development of multiple myeloma and its effect on erythropoiesis were investigated. Various treatment protocols of patients were modeled and compared with clinical data.

Barcelona, Spain

University

Joint research work with A. Meyerhans. The study of the spread of viral infection in body tissues on the basis of reaction-diffusion and hybrid discrete-continuous models of immune response.

Lyon, France

University

Joint research work with C. Dumontet, P. Nony. Mathematical modeling of variousdiseases: leukaemia, lymphoma, lymphodema, mucoviscidosis, thrombosis. Simulation of clinical trials.

St. Gallen, Switzerland

Research Centre

Parametric models of the geometry of the lymph node were developed. Models were developed and topological properties of a network of fibroblastic reticular cells were analyzed. The features of lymph flow in the network of lymph node conduits were studied.

Heidelberg, Germany

Research Centre

The components of the system model describing the regulation of energy metabolism of cells in normoxia and hypoxia were developed.