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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Naunyn-Schmiedeberg's archives of pharmacology 306 (1979), S. 287-293 
    ISSN: 1432-1912
    Keywords: 2.4-diamino-6.7-dialkylpteridine ; Diuretics ; Micropuncture ; Tubular transport ; Rat kidney
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The excretion of the diuretic substance DADMP (2.4-diamino-6.7-dimethylpteridine) and of DMP (6.7-dimethylpterin) was studied on single nephrons of the rat kidney using microperfusion and microinjection techniques. In the proximal tubule only DADMP was reabsorbed to a significant degree. Fractional reabsorption rate was independent of the load applied and the permeability constant was found to be 2.2·10−4 cm·s−1. Similar results were obtained in nephrons in which the substances, with inulin, were injected from middle proximal tubular puncture sites and recovered in the urine. DMP appeared in the urine quantitatively and simultaneously with the injected inulin. DADMP recovery, however, was only 20–30% of the injected load during the injection period and after 2 h some 70% was recovered from the urine of both kidneys. The reabsorbed fractions were independent of the loads applied, which varied between 2·10−13 mol·min−1 and 10−9 mol·min−1. A comparison of the microperfusion and the microinfusion data suggests that the reabsorption of DADMP occurs predominantly in the proximal convolution, and it appears that the differences between the renal handling of DMP and DADMP are explicable by their different lipid solubilities.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Pflügers Archiv 375 (1978), S. 9-16 
    ISSN: 1432-2013
    Keywords: Pterins ; Micropuncture ; Tubular transport ; Rat kidney
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract In rat kidney, the rate of urinary biopterin [biopterin (B), 7,8-dihydrobiopterin (BH2), and 5,6,7,8-tetrahydrobiopterin (BH4)] excretion as measured by Crithidia assay, was found to be at least 3 times greater than the rate at which it is filtered (GFR·PBiopt.). At a renal blood flow of 6.43±1.34 ml/min per g kidney wt., biopterin concentrations in arterial and renal venous blood and plasma were similar [art. blood: 250±50 ng/ml, ren. venous blood: 247.3±50.9 ng/ml, art. plasma: 23.1±5.8 ng/ml, ren. venous plasma: 23.4±6.9 ng/ml (means±S.D.)]. 14C-BH4 and3H-inulin, infused by means of a micropump into late proximal segments of single nephrons at concentrations of 10−4–10−6 mol, were excreted at similar fractional rates (inulin: 0.85–0.97, BH4: 0.87–0.92, total recovery 1.00–1.09 and 0.99–1.11, respectively). Similar results were obtained with 6,7-dimethylpterin, but not with 6,7-dimethyl-5,6,7,8-tetrahydropterin. The latter is reabsorbed at a fractional rate of 0.20 at concentrations of 10−7 and 10−6 mol. In microperfusion studies in isolated proximal tubular segments in vivo et situ, no reabsorption of 6,7-dimethylpterin could be detected. In case of 6,7-dimethyl-5,6,7,8-tetrahydropterin (DMPH4) at concentrations of 5·10−5 and 10−5 mol/l, however, a permeability constant of 2.39·10−5 cm/s has been measured. From the fact that more biopterin leaves the kidney with urine plus venous blood than entered it is concluded that reduced biopterin is synthesized de novo in the kidney. With the exception of DMPH4, all types of biopterin are not significantly reabsorbed, but rather, are excreted into the urine due to an anisotropic permeability characteristic of the nephron.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Computing 42 (1989), S. 171-186 
    ISSN: 1436-5057
    Keywords: 65G10 ; 65H10 ; 65W05 ; CR: G. 1.0 ; G.1.5 ; Parallel methods ; nonlinear systems ; enclosures ; error bounds ; interval iterative methods ; multisplittings
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Für gewisse Systeme nichtlinearer GleichungenF(x)=0 entwicklen wir ein Verfahren, welches iterativ enge untere und obere Schranken für die Nullstellen vonF berechnet. Das Verfahren beruht auf einem Multisplitting für bestimmte Matrizen und weist so in natürlcher Weise Parallelität auf. Wir geben Kriterien für die Konvergenz der Schranken gegen die Nullstellen an und untersuchen die Konvergenzgeschwindigkeit.
    Notes: Abstract For some systems of nonlinear equationsF(x)=0 we derive an algorithm which iteratively constructs tight lower and upper bounds for the zeros ofF. The algorithm is based on a multisplitting of certain matrices thus showing a natural parallelism. We prove criteria for the convergence of the bounds towards the zeros and we investigate the speed of convergence.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Computing 44 (1990), S. 221-235 
    ISSN: 1436-5057
    Keywords: 65G10 ; 65H10 ; Newton's method ; Newton-Gauss-Seidel method ; nonlinear equations ; R-order ; interval analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Wir betrachten Modifikationen des Intervall-Newton-Verfahrens, welche zwei Ansätze miteinander verbinden: Mehrfache (z.B.s-fache) Verwendung derselben Auswertung der Jacobi-Matrix und näherungsweise Lösung der Newton-Gleichung mit einem „linearen” Iterationsprozeß. Insbesondere zeigen wir, daß dieR-Ordnung dieser Verfahrens+1 werden kann. Wir illustrieren unsere Ergebnisse an einem numerischen Beispiel.
    Notes: Abstract We consider modifications of the interval Newton method which combine two ideas: Reusing the same evaluation of the Jacobian several (says) times and approximately solving the Newton equation by some ‘linear’ iterative process. We show in particular that theR-order of these methods may becomes+1. We illustrate our results by a numerical example.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Computing 48 (1992), S. 125-128 
    ISSN: 1436-5057
    Keywords: 65H10 ; 65G10 ; Nonlinear equations ; systems of nonlinear equations ; interval Newton method ; interval Gaussian algorithm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung In der vorliegenden Arbeit werden das Intervall-Newton-Verfahren und das vereinfachte Intervall-Newton-Verfahren betrachtet, um enge Schranken für die Lösungen nichtlinearer Gleichungssysteme zu erhalten. Unter starkem Bezug auf eine Arbeit von Alefeld über diese beiden Verfahren leiten wir einen Zusammenhang zwischen den beiden Matrizen her, die in der erwähnten Veröffentlichung bei der Formulierung hinreichender Konvergenzkriterien auftreten. Desweiteren beantworten wir eine dort gestellte Frage über den Abbruch der Verfahren nach endlich vielen Schritten.
    Notes: Abstract In this paper we consider the interval Newton method and its simplified version to find tight bounds for the solutions of systems of nonlinear equations. Referring to a paper of Alefeld on this subject, we derive a connection between the two matrices used there to formulate sufficient criteria for the convergence of these methods. We also answer an open question concerning the break down of the Newton method after a finite number of steps.
    Type of Medium: Electronic Resource
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