Сollaboration in one of our joint research projects on the mathematical research on foundations of N-spinor algebra of pseudo-Finsler spaces. Our team includes highly professional researchers in this field of science and together with power of your National Supercomputer Centre (Centro Nacional dе Supercomputación) we can reach impressive results.

The brief description of the project is as follows. We generalize two-spinor algebra of Minkowski space to N-spinor algebra of pseudo-Finsler spaces whose metrics are algebraic forms of Nth degree with respect to coordinates. A scalar N-product of N-spinors generalizes the well-known symplectic product and is invariant under transformations of the group SL(N, C). Since SL(2, C) is locally isomorphic to the proper orthochronous Lorentz group, we can embed main relativistic constructions into the pseudo-Finsler geometric background. In particular, we can write pseudo-Finsler generalizations of all the relativistic quantum wave equations. It turns out that pseudo-Finsler quantum wave equations unify wave functions of particles with different spins (without supersymmetry). Development of quantum theory of interacting particles in the above pseudo-Finsler spaces requires calculations of multiple integrals over multidimensional momentum spaces. These calculations are very cumbersome because the integrals include multidimensional Cayley determinants (hyperdeterminants). We intend to calculate such hyperdeterminants and, possibly, integrals with the help of computer algebra systems. Numerical calculations in these problems are less valuable.

Main goals of this joint project are to develop the international collaboration which leads to publication of articles in journals with high citation index, register joint intellectual properties that could be monetized in future as an introduction into the different fields of economics (or science) or into the production processes of such enterprises as CERN and world educational centers and universities.

We also want to note that:

pseudo-Finsler spaces are a generalization of Riemannian spaces, but modern software applications for research in this area are still poorly developed;

supercomputing results represent an important scientific contribution to the field of fundamental physics;

the mathematical base, including the generalization of hyperdeterminants (as an iterated construction based on the Cayley hyperdeterminant), is also poorly developed in the modern mathematical software tools.

Our project is aimed at the development and scientific positioning of these points, which is quite promising for the development of world science and further joint projects.

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“Development of theoretical foundations, logical-mathematical and hardware support of bioreactors for the needs of regenerative, restorative and experimental medicine”.

The aim of the proposed project is to develop a generalized mathematical solution and a logical core (software) of the bioreactors for the needs of regenerative, restorative and experimental medicine and biology, as well as for the design and application of evolutionarily developed biological engineering solutions in science and technology.

The urgent task of modern medicine and transplantation is the development of artificial organs, which are identical in their functional characteristics to the recipient’s organs. This became possible due to the development of tissue engineering, cellular technologies and modern materials science. Materials for reconstructive medicine should have a chemical and supramolecular structure, which ensure effective adhesion and proliferation of stem and somatic cells, and the kinetics of matrix resorption. Polymeric materials should have biocompatibility, predictable resorption, and the absence of toxicity of both the materials themselves and their degradation products. The production of these materials and structures, their successful in vivo testing was the result of a comprehensive scientific study on the modification of the structure and properties (deformation-strength, viscoelastic, etc.) of polymers approved for medical use, as well as the production of composite fibers, nanofibers, sponges, containing chitin nanofibrils as fillers. The structure of such nanocomposite matrices ensures good cell adhesion and their efficient proliferation. The electric field applied to the polymer matrix promotes the proliferative activity of cells, stimulates the process of tissue regeneration of one or another organ. Therefore, the goal of this project is to develop electroconductive materials for tissue engineering based on bioresorbable, biocompatible polymers, as well as a comprehensive study of their electrophysical, strength and deformation properties.

As a result, a fundamentally new class of polymeric materials will be obtained, which are characterized by electrical conductivity, strength and elastic characteristics close to those of the tissues of a living organism. In recent years, materials with such properties have been called mimic materials. An important property of such materials is the biocompatibility of both the materials themselves and the products of their degradation, the predicted rate of resorption. Such materials will be developed for the first time.

The information obtained will be used to establish the correlation dependences of the electrophysical characteristics of the developed materials with the adhesion and proliferation of somatic cells. Such a comprehensive study will be conducted for the first time.

The development will use machine learning, data processing and decision-making processes, which is useful in training students and young professionals. The results of the study can be used as the basis for the formation of training programs for personnel in biotechnological disciplines – specialists-organizers of biotechnological processes in technology and medicine. Competitive advantages in target markets lie in a limited number of proposals for software solutions for engineering and in the prevalence of scientific software solutions aimed at disclosing and modelling living processes and structures.

About Us. RUDN University is one of the 104 best universities in the world according to the Round University Ranking in terms of teaching quality, and is in the top five in national ratings. RUDN University is the first Russian university to be awarded 5 stars in 5 categories of the international QS Stars rating. The first among the Russian universities in internationalization.

The University was founded on 5th February, 1960 by the USSR Government. On 22nd February, 1961, the RUDN University was named after Patrice Lumumba — one of the symbols of the African peoples’ fight for independence. Students and academics could be free to pursue their learning, teaching, and research activities at , without being subject to political context, but firmly directed to the grand principles of friendship and mutual support.On February 5, 1992, by the decision of the Government of Russia, the University was renamed to Peoples’ Friendship University of Russia.

**Russian School of Modern Cybernetics (RSMC)**

A project of a creation an educational, research and development incubator of start-ups and breakthrough technologies in the field of truly reasoning and intelligent artificial systems.

The fundamental scientific base is P.K. Anohin ‘s Functional Systems Paradigm (PFS), a holistic worldview platform that explains the goal driven adaptive behavior and arrangement of any living system from a simple neuron to a society.

Its cyber interpretation is a scientific and applied task solved within the framework of the RSMC, which allows the modeling of a living and its properties, such as thinking, mind, intelligence, etc., in specialized laboratories, where personnel of the future, already today involved in unique projects and developments, will be prepared.

Successful teams will be allocated to independent start-ups with the prospect of entering IPO.