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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Computing and visualization in science 3 (2000), S. 115-120 
    ISSN: 1433-0369
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. In the clinical cancer therapy regional hyperthermia certain nonlinear perfusion effects inside and outside the tumor seem to play a significant role. A stationary model of such effects leads to a nonlinear Helmholtz term within an elliptic boundary value problem. The present paper reports about the application of a recently designed adaptive multilevel FEM (code NEWTON-KASKADE) to this problem. For two 3D virtual patients, nonlinear and linear models are compared. Moreover, the numerical efficiency of the new algorithm is compared with a former application of an adaptive FEM to the corresponding non stationary model PDE.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Naunyn-Schmiedeberg's archives of pharmacology 356 (1997), S. 671-677 
    ISSN: 1432-1912
    Keywords: Key words Rat anococcygeus muscle ; Muscarinic ; receptor subtypes ; Muscarinic agonists ; Muscarinic ; antagonists ; M3 receptors ; Stereoselectivity ; Hexahydro-difenidol
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract The present study was designed to characterize the postjunctional muscarinic receptors mediating contraction in rat anococcygeus muscle by means of a series of muscarinic agonists and subtype-preferring key muscarinic antagonists. Cumulative addition of muscarinic agonists elicited concentration-dependent contractions with the following rank order of potency (pD2 values): (+)-muscarine (6.36) ≥ oxotremorine M (6.21) ≥ arecaidine propargyl ester (APE) (6.18) 〉 carbachol (5.68)=(±)-methacholine (5.65) 〉 4-(4-chlorophenyl-carbamoyloxy)-2-butynyltrimethylammonium chloride (4-Cl-McN-A-343) (4.28) 〉 4-(3-chlorophenylcarbamoyloxy)-2-butynyltrimethylammonium chloride (McN-A-343) (3.89). (+)-Muscarine, oxotremorine M, carbachol and (±)-methacholine behaved as full agonists, whereas APE, 4-Cl-McN-A-343 and McN-A-343 displayed partial agonism. The contractile responses of the rat anococcygeus muscle to (±)-methacholine were competitively antagonized by pirenzepine (pA2=6.92), 11-[[4-[4-(diethylamino)butyl]-1-piperidinyl]acetyl] 5,11-dihydro-6H-pyrido(2,3-b)(1,4)-benzodiazepine-6-one (AQ-RA 741; pA2=6.75), himbacine (pA2=7.11), (±)-p-fluoro-hexahydro-sila-difenidol (p-F-HHSiD; pA2=7.68) and the (R)- and (S)-enantiomers of hexahydro-difenidol [(R)-HHD: pA2=8.52; (S)-HHD: pA2=6.06]. A comparison of the pA2 values derived from studies of contraction in rat anococcygeus muscle with literature binding (pKi values) and functional affinities (pA2 values) obtained at native M1-M4 receptors strongly suggests that the postjunctional muscarinic receptors mediating contraction in rat anococcygeus muscle are of the M3 subtype.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1534-4681
    Keywords: Sentinel lymph nodes ; Frozen section ; Macrometastases ; Micrometastases
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract Background: Routine intraoperative frozen section (FS) of sentinel lymph nodes (SLN) can detect metastatic disease, allowing immediate axillary dissection and avoiding the need for reoperation. Routine FS is also costly, increases operative time, and is subject to false-negative results. We examined the benefit of routine intraoperative FS among the first 1000 patients at Memorial Sloan Kettering Cancer Center who had SLN biopsy for breast cancer. Methods: We performed SLN biopsy with intraoperative FS in 890 consecutive breast cancer patients, none of whom had a back-up axillary dissection planned in advance. Serial sections and immunohistochemical staining for cytokeratins were performed on all SLN that proved negative on FS. The sensitivity of FS was determined as a function of (1) tumor size and (2) volume of metastatic disease in the SLN, and the benefit of FS was defined as the avoidance of a reoperative axillary dissection. Results: The sensitivity of FS ranged from 40% for patients with T1a to 76% for patients with T2 cancers. The volume of SLN metastasis was highly correlated with tumor size, and FS was far more effective in detecting macrometastatic disease (sensitivity 92%) than micrometastases (sensitivity 17%). The benefit of FS in avoiding reoperative axillary dissection ranged from 4% for T1a (6 of 143) to 38% for T2 (45 of 119) cancers. Conclusions: In breast cancer patients having SLN biopsy, the failure of routine intraoperative FS is largely the failure to detect micrometastatic disease. The benefit of routine intraoperative FS increases with tumor size. Routine FS may not be indicated in patients with the smallest invasive cancers.
    Type of Medium: Electronic Resource
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  • 4
    Title: Numerische Mathematik 3 : Adaptive Lösung partieller Differentialgleichungen; 3
    Author: Deuflhard, Peter
    Contributer: Weiser, Martin
    Year of publication: 2011
    Pages: X, 432 S.
    Series Statement: Numerische Mathematik 3
    ISBN: 978-3-11-021802-2
    Type of Medium: Book
    Language: German
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  • 5
    Book
    Book
    De Gruyter,
    Title: Inside Finite Elements /
    Author: Weiser, Martin
    Publisher: De Gruyter,
    Year of publication: 2016
    Pages: XI, 146 Seiten
    Series Statement: Graduate
    ISBN: 978-3-11-037317-2
    Type of Medium: Book
    Language: English
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  • 6
    Title: Numerische Mathematik 3 : Adaptive Lösung partieller Differentialgleichungen; 3
    Author: Deuflhard, Peter
    Contributer: Weiser, Martin
    Edition: 2. Aufl.
    Year of publication: 2020
    Series Statement: Numerische Mathematik 3
    ISBN: 978-3-11-069168-9
    Type of Medium: Book
    Language: German
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  • 7
    Book
    Book
    Berlin :De Gruyter,
    Title: Adaptive numerical solutions of PDEs /
    Author: Deuflhard, Peter
    Contributer: Weiser, Martin
    Publisher: Berlin :De Gruyter,
    Year of publication: 2012
    Pages: XI, 421 S.
    Series Statement: de Gruyter textbook
    ISBN: 978-3-11-028310-5
    Type of Medium: Book
    Language: English
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  • 8
    Title: Numerische Mathematik /
    Author: Deuflhard, Peter
    Contributer: Hohmann, Andreas , Bornemann, Folkmar , Weiser, Martin
    Publisher: Berlin :de Gruyter
    Series Statement: De-Gruyter-Lehrbuch
    Type of Medium: Book
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  • 9
    Publication Date: 2019-01-29
    Description: In the clinical cancer therapy of regional hyperthermia nonlinear perfusion effects inside and outside the tumor seem to play a not negligible role. A stationary model of such effects leads to a nonlinear Helmholtz term within an elliptic boundary value problem. The present paper reports about the application of a recently designed adaptive multilevel FEM to this problem. For several 3D virtual patients, nonlinear versus linear model is studied. Moreover, the numerical efficiency of the new algorithm is compared with a former application of an adaptive FEM to the corresponding instationary model PDE.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
    Format: application/pdf
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  • 10
    Publication Date: 2019-01-29
    Description: The paper presents a new affine invariant theory on asymptotic mesh independence of Newton's method in nonlinear PDEs. Compared to earlier attempts, the new approach is both much simpler and more natural from the algorithmic point of view. The theory is exemplified at collocation methods for ODE boundary value problems and at finite element methods for elliptic PDE problems.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
    Format: application/pdf
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