15 research outputs found

    Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov--Burgers system revisited

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    We consider the Burgers-type system studied by Foursov, w_t &=& w_{xx} + 8 w w_x + (2-4\alpha)z z_x, z_t &=& (1-2\alpha)z_{xx} - 4\alpha z w_x + (4-8\alpha)w z_x - (4+8\alpha)w^2 z + (-2+4\alpha)z^3, (*) for which no recursion operator or master symmetry was known so far, and prove that the system (*) admits infinitely many local generalized symmetries that are constructed using a nonlocal {\em two-term} recursion relation rather than from a recursion operator.Comment: 10 pages, LaTeX; minor changes in terminology; some references and definitions adde

    Almost integrable evolution equations

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    Integrable systems and number theory

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    Phospholipid asymmetry during erythropoiesis. A study on Friend erythroleukemic cells and mouse reticulocytes

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    The distribution of phospholipids over the outer and inner layers of the plasma membranes of differentiated Friend erythroleukemic cells (Friend cells) and mouse reticulocytes has been determined. Phosphatidylcholine, phosphatidylethanolamine and phosphatidylinositol were found to be distributed symmetrically over both layers, sphingomyelin was found to be enriched in the outer layer (80–85%) and phosphatidylserine appeared to be present mainly in the inner layer (80–90%) of the plasma membranes of differentiated Friend cells. The outer layer of reticulocyte membranes contains 50–60% of the phosphatidylcholine, 20% of the phosphatidylethanolamine, 82–85% of the sphingomyelin and 40–42% of the phosphatidylinositol. All of the phosphatidylserine is present in the inner layer. The results show, that the asymmetric distribution of phospholipids, typical for erythrocyte membranes, is partially apparent already at an early stage of erythropoiesis, the proerythroblast, while the final organization of phospholipid distribution takes place at some stage during enucleation of the enormoblast and release of the reticulocyte into the blood stream

    Phospholipid organization in monkey erythrocytes upon Plasmodium knowlesi infection

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    The phospholipid organization in monkey erythrocytes upon Plasmodium knowlesi infection has been studied. Parasitized and nonparasitized erythrocytes from malaria-infected blood were separated and pure erythrocyte membranes from parasitized cells were isolated using Affi-Gel beads. In this way, the phospholipid content and composition of (i) the membrane of nonparasitized cells, (ii) the erythrocyte membrane of parasitized cells and (iii) the parasite could be determined. The phospholipid content and composition of the erythrocyte membranes of nonparasitized and parasitized cells and erythrocytes from chloroquine-treated monkeys cured from malaria, were the same as in normal erythrocytes. The phospholipid content of the parasite increased during its development, but its composition remained unchanged. Three independent techniques, i.e., treatment of intact cells with phospholipase A2 and sphingomyelinase C, fluorescamine labeling of aminophospholipids and a phosphatidylcholine-transfer protein-mediated exchange procedure have been applied to assess the disposition of phospholipids in: (i) erythrocytes from healthy monkeys, (ii) nonparasitized and parasitized erythrocytes from monkeys infected with Plasmodium knowlesi, and (iii) erythrocytes from monkeys that had been cured from malaria by chloroquine treatment. The results obtained by these experiments do not show any abnormality in phospholipid asymmetry in the erythrocyte from malaria-infected (splenectomized) monkeys, neither in the nonparasitized cells, nor in the parasitized cells at any stage of parasite development. Nevertheless, a considerable degree of lipid bilayer destabilization in the membrane of the parasitized cells is apparent from the enhanced exchangeability of the PC from those cells, as well as from their increased permeability towards fluorescamine
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