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  • Mathematics and Statistics  (5)
  • Chronic pancreatitis  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Therapeutische Pankreasgangocclusion bei chronischer Pankreatitis: Klinische, exokrine und endokrine Konsequenzen bei 12monatiger Nachbeobachtung (1985)
    Springer
    Langenbeck's archives of surgery 363 (1985), S. 149-163 
    Details
    ISSN: 1435-2451
    Keywords: Endocrine pancreatic function ; Endoscopic pancreatic duct occlusion ; Exocrine pancreatic function ; Chronic pancreatitis ; Intraoperative pancreatic duct occlusion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Zusammenfassung Ziel der therapeutischen Pankreasgangocclusion (PGO) bei chronischer Pankreatitis ist die Erhaltung der endokrinen Restfunktion durch Atrophisierung und somit Eliminierung des die chronische Entzündung unterhaltenden exokrinen Pankreasparenchyms. Eine effiziente und anhaltende Eliminierung des exokrinen Parenchyms wird bislang nur durch intraoperative PGO im Rahmen der partiellen Duodenopankreatektomie erreicht. Die endokrine Pankreasfunktion wird durch partielle Pankreasresektion im Rahmen der partiellen Duodenopankreatektomie um ca. 40% reduziert, durch intraoperative PGO jedoch nicht weiter beeinflußt. Keinerlei Reduktion der endokrinen Pankreasfunktion fand sich nach endoskopischer PGO, deren Effekt auf die Eliminierung des exokrinen Parenchyms allerdings noch verbesserungsbedürftig ist.
    Notes: Summary Therapeutic pancreatic duct occlusion (PDO) is applied to preserve endocrine pancreatic function by atrophizing and thus eliminating chronically inflamed exocrine pancreatic parenchyma. So far, efficient and lasting elimination of exocrine parenchyma is brought about only by intraoperative PDO upon partial duodenopancreatectomy. While partial duodenopancreatectomy itself reduces endocrine pancreatic function by about 40%, intraoperative PDO does not further impair endocrine function. Endocrine function is not affected at all by endoscopic PDO, which has to be improved, however, concerning its eliminatory effect on exocrine pancreatic parenchyma.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01261289
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    156. Einfluß der Pankreasgangocclusion (PGO) auf exo-und endokrine Langzeitfunktion im Rahmen der Behandlung der chronischen Pankreatitis (CP) (1985)
    Springer
    Langenbeck's archives of surgery 366 (1985), S. 611-611 
    Details
    ISSN: 1435-2451
    Keywords: Chronic pancreatitis ; Duct occlusion ; Endocrine function ; Chronische Pankreatitis ; Pankreasgangocclusion ; Endokrine Funktion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Zusammenfassung Wir untersuchten, ob mit PGO exokrines Parenchym eliminiert und damit die chronische Entzündung beendet, dabei aber die endokrine Funktion erhalten werden kann. Methode: Die Entzündungsaktivität (Pankreas-Isoamylase, Lipase und Trypsin), exokrine (sekretinstimuliertes Trypsin) und endokrine Funktion (basal und maximal stimuliertes Insulin und C-Peptid) wurden bei Patienten mit Whipplescher Operation und PGO (A), mit endoskopischer PGO (B) sowie mit alleiniger Drainageoperation (C) verglichen. Ergebnisse: Allein Konzept A konnte die Entzündungsparameter normalisieren und gleichzeitig die postoperative endokrine Kapazität über 18 Monate konstant erhalten.
    Notes: Summary We carried out a study to see if therapeutic PDO can terminate chronic inflammation by eliminating exocrine parenchyma and can preserve endocrine function in the treatment of CP.Method: Inflammatory activity (pancreatic isoamylase, lipase, and trypsin), exocrine (secretin-stimulated trypsin), and endocrine pancreatic function (basal and maximal stimulated serum insulin and C peptide) were determined in patients with Whipple's operation (A), with endoscopic duct occlusion (B), and with draining procedures (C) in a follow-up period of 18 months.Results: Only therapy A eliminated chronic inflammatory processes effectively enough while still preserving the remaining endocrine pancreatic function. Endoscopic PDO and drainage procedures cannot achieve these results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01836755
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A finite element method and stabilization method for a non-linear tricomi problem (1994)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 17 (1994), S. 681-695 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We prove using the Faedo-Galerkin method the existence of a generalized solution of an initial-boundary value problem for the non-linear evolution equation0 ≤ Q ≤ 2, in a cylinder QT = Ω × (0, T), where T u = yuxx + uyy is the Tricomi operator and l(u) a special differential operator of first order. We then show that the approximate generalized solution of problem (*) converges to the approximate generalized solution of the corresponding stationary boundary value problem as t → ∞.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670170903
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  • 4
    Electronic Resource
    Electronic Resource
    Existence and uniqueness for an equation of mixed type in a rectangle (1982)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 4 (1982), S. 307-316 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: A boundary value problem is considered for an equation of mixed type in a rectangle. An energy method is used to prove uniqueness for appropriate boundary conditions. Similar considerations for the adjoint problem allow one to prove the existence of a generalized solution to the problem. It is also shown that the energy method leads naturally to a finite element method. The method is described for a special case and convergence is shown for the resulting numerical procedure.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670040121
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    The two-dimensional, linear, orthotropic plate: The traction problem (1986)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 8 (1986), S. 102-116 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: In [13] we extended the analysis of Ciarlet and Destuynder [5] to the clamped orthotropic plate. For the present paper we shall apply these methods to the orthotropic plate under traction. In particular, we shall be considering the type of problem posed in Friedrichs and Dressler [10] for the isotropic plate and make use of the fact that the variational problem will split just as was the case for the partial differential equation formulation. With the present approach we shall be able to produce a proper convergence analysis for the formal asymptotics used in Friedrichs and Dressler.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670080108
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Uniqueness theorems for a nonlinear Tricomi problem and the related evolution problem (1995)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 18 (1995), S. 591-601 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We consider an initial-boundary value problem for the non-linear evolution equation in a cylinder Qt = Ω × (0, t), where T[u] = yuxx + uyy is the Tricomi operator and l(u) a special differential operator of first order. In [10] we proved the existence of a generalized solution of problem (1) and the existence of a generalized solution of the corresponding stationary boundary value problem (non-linear Tricomi problem) In this paper we give sufficient conditions for the uniqueness of these solutions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670180802
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    On uniqueness of Neumann-Tricomi problem in R2 (1980)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 2 (1980), S. 168-177 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We consider the equation of mixed type (k(y) ⋛ 0 whenever y ⋛ 0) in a region G which is bounded by the curves: A piecewise smooth curve Γ lying in the half-plane y 〉 0 which intersects the line y = 0 at the points A(-1, 0) and B(0, 0). For y 〈 0 by a piecewise smooth curve Γ through A which meets the characteristic of (1) issued from B at the point P and the curve Γ which consists of the portion PB of the characteristic through B. We obtain sufficient conditions for the uniqueness of the solution of the problem L[u] = f, dnu: = k(y)uxdy - uydx|γ0 = = Ψ(s) for a “general” function k(y), when r(x, y) is not necessarily zero and Γ1 is of a more general form then in the papers of V. P. Egorov [6], [7].
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670020204
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    Paper (German National Licenses)
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