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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Bulletin of mathematical biology 35 (1973), S. 549-563 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A method is presented for the simultaneous determination of (i) the blood flow to the organs and (ii) the cardiac output. Part I of the paper deals with the analysis of ann compartment (organ) vascular system model. The data, employed in the analysis, consists of continuous monitoring of the amounts of indicatorM i in the organs (or compartments). An analysis for determination of the cardiac output and the absolute flows to the organs is presented. Since it is difficult to isolate certain organ systems and measure the amounts of indicator in them exclusively, a more realistic model of then compartment vascular system is presented in Part II. Herein, the analysis has accounted for the finite transit time, of the indicator, from one organ system to another. Further, estimation theory is employed to make estimates of blood flow to different organs by taking note of (i) the measurement errors due to the detectors' monitoring (for an organ system) some combination ofM i 's instead of theM i for the particulari th organ and (ii) noise uncertainties introduced by the measuring instruments.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Studia logica 31 (1973), S. 39-46 
    ISSN: 1572-8730
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Philosophy
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Studia logica 31 (1973), S. 47-47 
    ISSN: 1572-8730
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Philosophy
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Studia logica 32 (1973), S. 51-66 
    ISSN: 1572-8730
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Philosophy
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 24 (1973), S. 517-524 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Zusammenfassung Wenn die Frequenz eines einfachen Pendels sich langsam und analytisch glatt ändert, dann ist die Totaländerung der Wirkung exponentiell klein. Diese Änderung wird hier für eine Klasse von praktischen Frequenzfunktionen zur ersten Näherung berechnet.
    Notes: Abstract If the frequency of a simple pendulum varies with time τ slowly and analytically smoothly, then the total change in its action is exponentially small (Part I). This change is computed here to the first approximation for a class of frequency functions ω (τ) of practical interest.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Studia logica 32 (1973), S. 67-67 
    ISSN: 1572-8730
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Philosophy
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Mathematische Zeitschrift 134 (1973), S. 303-315 
    ISSN: 1432-1823
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Calcified tissue international 13 (1973), S. 295-303 
    ISSN: 1432-0827
    Keywords: Hydroxyapatite ; Crystallization ; Kinetics ; Phosphonates ; Inhibition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine , Physics
    Description / Table of Contents: Résumé Le taux de croissance cristalline de l'hydroxyapatite dans des solutions supersaturées stables de phosphate de calcium a été étudié dans des conditions reproductibles à 25° et à un pH constant de 7,4 en présence de phosphonates organiques HEDP, 1-hydroxyethylidine 1, d'acide 1-diphosphonique, NTMP, nitrilo-tri (méthylène acide phosphonique), ENTMP N,N,N′N′ éthylène diamine-tetra (méthylène acide phosphonique), TENTMP triethylène-diamine tetra-(méthylène acide phosphonique). Il semble que l'action nette d'inhibition des produits surajoutés sur le taux de croissance cristalline est en rapport avec des liaisons de chélation fortes et de substitution inerte avec les ions calcium situés au niveau des noeuds et zones de dislocations de la surface cristalline d'HAP. Les résultats de cette étude montre que le ligand ENTMP potentiellement hexadenté est plus efficace comme inhibition de croissance cristalline que le NTMP tétradenté ou le HED tridenté. L'inéfficacité générale des monophosphonates comme inhibiteurs de croissance cristalline confirme la conclusion que les ions calcium sont complexés à la surface, empêchant par suite un dépôt ultérieur de phosphate de calcium au niveau de cette zone. La concentration relativement faible de phosphonate surajouté, comparée à la concentration en ion calcium, exclut la chélation du calcium dans la solution comme facteur important de l'inhibition de croissance cristalline observée.
    Abstract: Zusammenfassung Die Geschwindigkeit des Kristallwachstums von Hydroxyapatit-Kristallkeimen in stabilen übersättigten Calciumphosphatlösungen wurde unter reproduzierbaren Bedingungen studiert und zwar: bei 25°, bei einem konstanten pH von 7,4 und in Anwesenheit der organischen Phosphate HEDP=1-Hydroxy-äthylidin-1,1-Diphosphonsäure; NTMP=Nitrilo-trimethylen-Phosphonsäure; ENTMP=N,N,N′N′-Äthylendiamin-tetramethylen-Phosphonsäure; TENTMP=Triäthylendiamin-tetramethylen-Phosphonsäure. Es wird vorgeschlagen, daß die deutliche Hemmwirkung dieser zugesetzten Substanzen auf die Geschwindigkeit des Kristallwachstums durch die Bildung von starken, Substitutions-unempfindlichen Chelat-Bindungen mit den Calciumionen bedingt ist, welche an Knick- und Verschiebungsstellen auf der Kristalloberfläche von HAP vorkommen. Die Ergebnisse dieser Untersuchung zeigen, daß das potentiell sechswertige Anion ENTMP ein wirksamerer Hemmer des Kristallwachstums ist als das vierwertige NTMP oder das dreiwertige HEDP. Die allgemeine Unwirksamkeit der Monophosphonate als Kristallwachstums-Hemmer bekräftigt den Schluß, daß die Calciumionen an der Oberfläche als Chelatkomplexe gebunden sind, wodurch eine weitere Ablagerung von Calciumphosphat an dieser Wachstumsstelle verhindert wird. Die relativ niedrige Konzentration des beigefügten Phosphonats, im Vergleich mit der Konzentration der Calciumionen, schließt die Bildung von Calciumchelatkomplexen in der Lösung als wichtigen Faktor in der beobachteten Kristallwachstums-Hemmung aus.
    Notes: Abstract The rate of crystal growth of hydroxyapatite seed crystals in stable supersaturated solutions of calcium phosphate has been studied under reproducible conditions at 25° and at a constant pH of 7.40 in the presence of the organic phosphonates HEDP, 1-hydroxyethylidine 1,1-diphosphonic acid, NTMP, nitrilotri (methylene phosphonic acid); ENTMP, N,N,N′N′ ethylenediamine-tetra (methylene phosphonic acid); TENTMP, triethylenediamine tetra (methylene phosphonic acid). It is suggested that the marked inhibitory influence of the additives upon the rate of crystal growth is due to the formation of strong, substitution inert chelate bonds with the calcium ions present at kinks and dislocations on the crystal surface of HAP. The results of this study show that the potentially hexadentate ligand ENTMP is more effective as a crystal growth inhibitor than the tetradentate NTMP or the tridentate HEDP. The general ineffectiveness of the monophosphonates as crystal growth inhibitors supports the conclusion that the calcium ions are chelated at the surface thereby preventing further deposition of calcium phosphate at that growth site. The relatively low concentration of added phosphonate as compared with the calcium ion concentration rules out calcium chelation in the bulk of the solution as a significant factor in the observed crystal growth inhibition.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    International journal of biometeorology 17 (1973), S. 321-327 
    ISSN: 1432-1254
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geography , Physics
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Earth, moon and planets 8 (1973), S. 434-442 
    ISSN: 1573-0794
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Description / Table of Contents: Résumé Nous avons repris l'année dernière le projet d'une thèorie analytique de la Lune. Tous les programmes de calculs sur des séries trigonométriques littérales à coefficients rationnels ont été réécrits pour un IBM 360-65, avec de nouveaux principes quant à la structure interne des séries. Les boucles de calcul ont été programmées et nous donnons les premiers résultats. La méthode repose sur la théorie due à J. Chapront et L. Mangeney. Pour les approximations suivantes les expressions sont calculées par accroissements. Chaque fois que le développement en série du dénominateur d'un coefficient affecte la convergence de celui-ci, il est conservé.
    Notes: Abstract During the last year, the project of an analytical lunar theory was revived. All programs for computations on literal trigonometric series with rational coefficients were rewritten for an IBM 360-65 with new principles as far as the internal structure of series is concerned. The computational loops have been programmed and results of the calculations for the first loops will be presented. The method is essentially based on the theory derived by J. Chapront and L. Mangeney. To prepare the successive approximations, all the expressions are computed by incremental formulae. A special device has been prepared in order to keep the denominators only in those terms where their development in power series affects the convergence of the coefficients.
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