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- Development of an approach to proactive diagnosis of schizophrenia based on cross-correlation analysis of encephalogram signals (collaborators: Serge Timashev, Sergey Demin, Oleg Panischev, Alexander Kaplan)
- Development of a nanoscale surface characterization method to estimate the photosensitizing efficiency of photodynamic therapy (collaborators: Anna Solovieva, Victoria Timofeeva, Nadezhda Aksenova, Pavel Misurkin, Serge Timashev, Sergey Polyakov, Utkur Mirsaidov)
- Development of kinetic mathematical models describing the epigenetic inactivation of tumor suppressor genes (collaborators: Sergey Polyakov)
- Development of mathematical models describing the partial pore blocking in micro- and ultrafiltration
- Selectivity-permeation analysis of existing mathematical models for micro- and ultrafiltration: Physical mechanisms and practical formulas
- Analysis of the stochastic variability of X-ray emission from accreting black hole GRS 1915+105 using flicker-noise spectroscopy (collaborators: Joseph Neilsen, Serge Timashev)
- Identification of earthquake precursors in the hydrogeochemical and geoacoustic data for the Kamchatka peninsula using flicker-noise spectroscopy
(collaborators: G.V. Ryabinin, V.A. Gavrilov, S.F. Timashev)
- Analysis of chatter in stainless steel turning using flicker-noise spectroscopy
(collaborators: Grzegorz Litak, Serge Timashev, Rafal Rusinek)
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