We studied proliferation, migration, and secretion of NO by bone marrow multipotent mesenchymal stromal cells from Wistar rats during conditioning under hypoxic and hyperglycemic conditions and the effect of erythropoietin on these parameters. A stimulating effect of erythropoietin on cell proliferation under normal conditions and activation of cell proliferation under conditions of hypoxia and hyperglycemia were demonstrated. Erythropoietin abolishes suppression of cell proliferation in culture with normal glucose level under conditions of H2O2-induced hypoxia, while under conditions of hyperglycemia, inhibition of cell proliferation becomes more pronounced. Hypoxia promotes activation of cell migration along the growth factor concentration gradient and addition of erythropoietin to the nutrient medium leads to a decrease in cell migration activity. Erythropoietin stimulates NO production by cells cultured under the conditions of hypoxia and hyperglycemia.

The study examined the effect of VEGF and erythropoietin on proliferative and migratory activities of skin fibroblasts and multipotent mesenchymal stromal cells of human adipose tissue. VEGF stimulated proliferation and migration of fi broblasts, but produced no significant effect on functional activity of multipotent mesenchymal stem cells. Erythropoietin stimulated proliferation of both cell types, but did not affect their migration.

In this note, we prove the following conjecture by A. Akopyan and V. Vysotsky: If the convex hull of a planar curve γ covers a planar convex figure K, then length(γ) ≥ per(K) − diam(K). In addition, all cases of equality in this inequality are studied.