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  • 1
    ISSN: 1432-0428
    Keywords: Diabetes mellitus ; insulin injection ; aldose reductase inhibitor ; small intestine ; villi ; crypts ; muscularis externa ; stereology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The gross and microscopical dimensions of small intestines from 12-week old streptozotocin-diabetic rats receiving no therapeutic intervention were compared with those from animals receiving insulin alone or in conjunction with the aldose reductase inhibitor, ponalrestat. Four regions along each intestine were analysed stereologically. Insulin had significant beneficial effects on body weight as well as on intestinal length, width, surface area and volume. In contrast, ponalrestat did not improve body weight deficits and was associated with crypt hypertrophy and a reduced villous surface/crypt volume ratio. There were interaction effects between insulin and ponalrestat for intestinal length and primary mucosal surface area. All groups displayed significant regional differences in surface area of primary mucosa and volume of muscularis externa. Only untreated diabetic rats failed to reveal regional variation in the surface area and volume of villi. Ratios of villous surface area/crypt volume varied from region-to-region in insulin-treated diabetic rats but not in other groups. The study fails to reveal any beneficial effect of aldose reductase inhibition on the changes in intestinal morphology seen in experimental diabetes.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1432-0428
    Keywords: Diabetes mellitus ; microangiopathy ; peripheral neuropathy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Twenty diabetic patients with neuropathy underwent clinical and neurophysiological evaluation together with a detailed morphometric assessment of capillary pathology in endoneurial and epineurial microvascular beds of the sural nerve. Morphological data were compared with ten non-diabetic control subjects. There were no significant differences in control subjects between basement membrane area, endothelial cell area, endothelial cell profile number or luminal area of endoneurial when compared with epineurial capillaries. In contrast, when compared with epineurial capillaries, endoneurial capillaries from diabetic patients demonstrated a significant increase in basement membrane (p〈0.001) and endothelial cell (p〈0.001) area and a significant reduction in luminal area (p〈0.001). There was no significant difference in endothelial cell profile number between endoneurial and epineurial capillaries amongst diabetic patients. Previous studies have demonstrated a good correlation between the degree of microangiopathy and measures of neuropathic severity. In the present study increased endoneurial capillary basement membrane area was significantly related to reduced peroneal nerve conduction velocity (p〈0.001), myelinated fibre density (p〈0.001) and elevated vibration (p〈0.05) and thermal (p〈0.001) perception. Increased endothelial cell area and reduced luminal size were related to a reduced peroneal nerve conduction (p〈0.05, p〈0.01, respectively), reduced myelinated fibre density (p〈0.05, p〈0.01) and elevated thermal perception (p〈0.05, p〈0.001). Epineurial capillary basement membrane, endothelial cell and luminal area failed to relate to measures of neuropathic severity. This study has demonstrated more advanced microangiopathy and a more significant relationship to neuropathic severity in endoneurial compared with epineurial capillaries, thus providing further support for the role of microangiopathy in the pathogenesis of human diabetic neuropathy.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Constructive approximation 3 (1987), S. 265-280 
    ISSN: 1432-0940
    Keywords: Interpolation ; Equiconvergence ; Distinguished set ; Analytic functions ; Radiusof convergence ; 41A05 ; 41A25
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Letf∈A ρ (ρ〉1), whereA ρ denotes the class of functions analytic in ¦z¦ 〈ρ but not in ¦z¦≤ρ. For any positive integerl, the quantity Δ l,n−1(f; z) (see (2.3)) has been studied extensively. Recently, V. Totik has obtained some quantitative estimates for $$\overline {\lim _{n \to \infty } } \max _{\left| z \right| = R} \left| {\Delta _{l,n - 1}^ - \left( {f;z} \right)} \right|^{1/n} $$ . Here we investigate the order of pointwise convergence (or divergence) of Δ l,n−1(f; z), i.e., we study $$B_1 \left( {f;z} \right) = \overline {\lim _{n \to \infty } } \left| {\Delta _{l,n - 1} \left( {f;z} \right)} \right|^{1/n} $$ . We also study some problems arising from the results of Totik.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Constructive approximation 7 (1991), S. 315-327 
    ISSN: 1432-0940
    Keywords: 41A05 ; 41A25 ; Interpolation ; Equiconvergence ; Distinguished sets ; Analytic functions ; Radius of convergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Here we study some simple properties of (l, p) distinguished points for functions in the classA p (p〉1) in the context of Walsh equiconvergence. We give a condition which is necessary and sufficient for a set Z of points in C to be an (l, p) distinguished set. This condition seems to complement the one given earlier in [2].
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Numerical algorithms 23 (2000), S. 115-125 
    ISSN: 1572-9265
    Keywords: Birkhoff interpolation ; non-uniformly distributed nodes ; roots of unity ; Möbius transform ; Pál-type interpolation ; regularity ; 41A05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract In this paper the regularity of two interpolation problems is proved. One uses (0,1,..., r-2,r) interpolation with as nodes Möbius transforms of nth roots of unity with the point z=1 added and the other is concerned with Pál-type interpolation on the pair of polynomials (z+α)n+(1+α z)n and (z+α)n-(1+α z)n, where 0 〈 α 〈 1.
    Type of Medium: Electronic Resource
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