International Research Collaboration

City

Heidelberg, Germany

Subject of cooperation:
Joint research with Prof. Willy Yeager on mathematical modeling of sepsis.
Result of cooperation:

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

About partner:
Start of cooperation: 2015.

City

St. Gallen, Switzerland

Subject of cooperation:
Joint research with Prof. Ludwig Burkhardt's group on “Mathematical modeling of spatial structure and functioning of lymphoid organs”.
Result of cooperation:

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.

About partner:
Start of cooperation: 2000.

City

Lyon, France

Subject of cooperation:
Mathematical modeling of various diseases and clinical trials on virtual patients.
Result of cooperation:

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

About partner:
Start of cooperation: 2012.

City

Barcelona, Spain

Subject of cooperation:
Multiscale and spatial models of immune response.
Result of cooperation:

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.

About partner:
Start of cooperation: 2016.

City

Nashville, USA

Subject of cooperation:
Mathematical modeling of erythropoiesis and blood cancers such as multiple myeloma. Development of optimal chemotherapy methods for patients with multiple myeloma.
Result of cooperation:

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.

About partner:
Start of cooperation: 2012.

City

Uppsala, Sweden

Subject of cooperation:
Development of new modeling methods in Biomedicine based on discrete-continuous approaches in which biological cells are considered as individual objects, intracellular regulation is modeled by ordinary differential equations, and intercellular concentrations were described by partial differential equations. Application of these methods to modeling of various physiological processes.
Result of cooperation:

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.

About partner:
Start of cooperation: 2018.

City

Praga, Czech Republic

Subject of cooperation:
- Conducting joint research in the field of operator theory in Morrie type spaces.
- Publication of joint works in high-rated journals.
Result of cooperation:

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.

About partner:
Start of cooperation: 2010.

City

Ramat-Gan, Israel

Subject of cooperation:
- Conducting joint research in the field of operator theory in Morrie type spaces.
- Publication of joint works in high-rated journals.
Result of cooperation:

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.

About partner:
Start of cooperation: 2017.

City

Baku, Azerbaijan

Subject of cooperation:
- Conducting joint research in the field of operator theory in Morrie type spaces.
- Publication of joint works in high-rated journals.

City

Padova, Italy

Subject of cooperation:
- Conducting joint research in the field of spectral theory.
- Publication of joint works in high-rated journals.
Result of cooperation:

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.

A full list of joint works can be found here

About partner:
Start of cooperation: 2006.
Field of cooperation: spectral theory.