GOOD CONTINUATION IN 3D: THE NEUROGEOMETRY OF STEREO VISION.

Classical good continuation for image curves is based on 2D position and orientation. It is supported by the columnar organization of cortex, by psychophysical experiments, and by rich models of (differential) geometry. Here we extend good continuation to stereo. We introduce a neurogeometric model, in which the parametrizations involve both spatial and orientation disparities. Our model provides insight into the neurobiology, suggesting an implicit organization for neural interactions and a well-defined 3D association field. Our model sheds light on the computations underlying the correspondence problem, and illustrates how good continuation in the world generalizes good continuation in the plane.

A sub-Riemannian model of the visual cortex with frequency and phase.

In this paper, we present a novel model of the primary visual cortex (V1) based on orientation, frequency, and phase selective behavior of V1 simple cells. We start from the first-level mechanisms of visual perception, receptive profiles. The model interprets V1 as a fiber bundle over the two-dimensional retinal plane by introducing orientation, frequency, and phase as intrinsic variables. Each receptive profile on the fiber is mathematically interpreted as rotated, frequency modulated, and phase shifted Gabor function. We start from the Gabor function and show that it induces in a natural way the model geometry and the associated horizontal connectivity modeling of the neural connectivity patterns in V1. We provide an image enhancement algorithm employing the model framework. The algorithm is capable of exploiting not only orientation but also frequency and phase information existing intrinsically in a two-dimensional input image. We provide the experimental results corresponding to the enhancement algorithm.

How uncertainty bounds the shape index of simple cells.

We propose a theoretical motivation to quantify actual physiological features, such as the shape index distributions measured by Jones and Palmer in cats and by Ringach in macaque monkeys. We will adopt the uncertainty principle associated to the task of detection of position and orientation as the main tool to provide quantitative bounds on the family of simple cells concretely implemented in primary visual cortex.Mathematics Subject Classification (2000)2010: 62P10, 43A32, 81R15.

Vitamin E supplementation and oxidative status of peripheral blood mononuclear cells and lymphocyte subsets in hemodialysis patients.

Increased oxidative damage to cell membrane constituents causes profound changes in the membrane cytoarchitecture and modifications of the membrane physiological properties, e.g., the ability to respond to hormonal stimuli. In uremic patients receiving intermittent hemodialysis, a metabolic block of the phosphate pentose shunt has been described. This leads to insufficient detoxication of the hydroxyl radicals formed within the cells and therefore to increased oxidative damage to the polyunsaturated fatty acid constituents of the cell membranes. Vitamin E is known to reduce this oxidative damage and its harmful effects. We studied vitamin E (alpha-tocopherol acetate) administration in 10 chronically uremic patients receiving intermittent hemodialysis for positive effects on cell membrane-receptor response. The patients were studied before and after treatment for the extent of oxidative damage in peripheral mononuclear cells and for response to monoclonal antibodies to specific markers of T-lymphocyte subsets. After vitamin E treatment, oxidative damage decreased, and the membranes of peripheral mononuclear cells contained greater amounts of some unsaturated fatty acids. This is in agreement with a modification of the membrane phenotype markers of T-lymphocyte subsets and seems to confirm in vivo that changes in membrane structure first induced by increased oxidative damage due to the blockage of the phosphate pentose shunt can be reduced by the antioxidant action of vitamin E, which significantly influences the expression of membrane determinants.

Erythrocyte membrane lipid peroxidation before and after vitamin E supplementation in children with cholestasis.

In 10 children with chronic cholestasis and without neurologic signs, we evaluated lipid peroxidation and vitamin E levels in serum and in the erythrocytes before and after a therapeutic trial with alpha-tocopherol. We also studied the effects of vitamin E administration on hematocrit and hemoglobin values and on reticulocyte and erythrocyte counts. Plasma and erythrocyte malonyldialdehyde (MDA) values were significantly higher compared with normal control values, whereas plasma and erythrocyte tocopherol measurements were lower. Oral administration of high doses of vitamin E (300 mg/day for 15 days) resulted in lower serum MDA levels, whereas serum vitamin levels did not change significantly. In erythrocytes, the MDA decreased but not to control levels, and vitamin E increased but to lower values than normal. Hematologic values also improved. We conclude that longer treatment might be necessary to completely reverse the oxidative damage associated with vitamin E deficiency in children with cholestasis.

Lack of oxidative damage in serum polyunsaturated fatty acids before and after dialysis in chronic uremic patients.

We described previously that in the erythrocytes and mononuclear blood cells from uremic patients on chronic hemodialysis, the membrane concentrations of malonyldialdehyde (MDA), resulting from peroxidation of polyunsaturated fatty acids (PUFA) in the membrane itself increased, and the concentrations of vitamin E (VIT E), the major antioxidizing agent, were lower. In the present study we analysed whether similar oxidative damage is seen in the serum from hemodialysis patients and whether the serum fatty acid pattern is affected. No evidence was found of oxidative damage in the serum during hemodialysis, serum concentrations of MDA and VIT E remaining constant before and after dialysis. No change was observed in serum pattern of PUFA, particularly linoleic acid. We therefore assume that the oxidative damage described in uremic patients is mainly intracellular.

Platelet lipid peroxidation in haemodialysis patients: effects of vitamin E supplementation.

In haemodialysis patients, increased concentrations of malonyldialdehyde and decreased vitamin E content indicate lipid peroxidation in the platelets from oxidative damage. The same process has been described in red blood cells and in mononuclear cells in peripheral blood. However, platelet aggregation is within normal limits and does not change after treatment with vitamin E. On the other hand vitamin E supplementation reverts completely the biochemical abnormality of the platelets.

Discrepancies between serum and erythrocyte concentrations of vitamin E in hemodialysis patients: role of HDL-bound fraction of vitamin E.

Recently, we have demonstrated that hemodialysis (HD) patients have higher serum and lower erythrocyte concentrations of vitamin E than controls. It is known that transfer of vitamin E from serum to erythrocyte is mostly due to high-density lipoproteins (HDL). For a better definition of the pattern of distribution of vitamin E in HD patients, we have dosed the amount of vitamin bound to serum HDL fraction. In 8 patients and in 8 healthy controls, we have determined the concentration of serum erythrocyte and HDL-bound vitamin E. The latest was obtained on an ultracentrifuged HDL fraction. HDL fractions from HD patients have been found to contain larger amounts of vitamin E than controls. The previously described higher serum and lower erythrocyte concentrations of vitamin E in HD patients have been confirmed in the study. The deficit of vitamin E in the membranes of erythrocytes from HD patients has been shown to be the result of increased consumption of the vitamin in the erythrocyte membranes, where it represents the major antioxidant agent. However, the finding of increased amounts of vitamin bound to HDL in HD patients suggests that the transfer of the vitamin to the erythrocyte membranes may also be defective.

Relationship between red blood cell lipid peroxidation, plasma hemoglobin, and red blood cell osmotic resistance before and after vitamin E supplementation in hemodialysis patients.

It has been reported that increased peroxidation of the polyunsaturated fatty acids in the erythrocyte membranes is one of the causes of chronic hemolysis in uremic patients on hemodialysis and that therapeutic doses of vitamin E are effective in reducing peroxidation, improving the hematocrit. The present study shows how the reduced peroxidation, induced by a course with therapeutic doses of vitamin E, is paralleled by a significant reduction of plasma hemoglobin concentrations at the end of the dialysis and by a significant improvement of erythrocyte osmotic resistance. The findings lead to the suggestion that the administration of tocopherol to patients on chronic hemodialysis for end-stage renal disease may be beneficial in improving anemia, acting via a reduction of lipid peroxidation of the red blood cell membranes. Whether this can reduce the need for the transfusions can be assessed only with a longitudinal long-term study, which is also necessary to determine whether the preliminary findings of this report have important clinical applications.

Effects of alpha-tocopherol administration on red blood cell membrane lipid peroxidation in hemodialysis patients.

The result of vitamin E treatment in 19 uremic patients in chronic hemodialysis is evaluated. In particular, the levels of erythrocyte malonyldialdehyde (MDA) and vitamin E were determined, and the fatty acid composition of red blood cell (RBC) membrane before and after treatment with parenterally administered vitamin E. A decrease of RBC MDA levels, an increase of RBC vitamin E concentrations, and a decreased saturated fatty acid to unsaturated fatty acid ratio were found after treatment with vitamin E. There was a statistically significant increase of the packed RBC volume.