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  • Articles: DFG German National Licenses  (3)
  • Opus Repository ZIB  (153)
  • 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
    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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  • 5
    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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  • 6
    Publication Date: 2019-01-29
    Description: We consider an optimal control problem from hyperthermia treatment planning and its barrier regularization. We derive basic results, which lay the groundwork for the computation of optimal solutions via an interior point path-following method. Further, we report on a numerical implementation of such a method and its performance at an example problem.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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  • 7
    Publication Date: 2022-01-07
    Description: In optimal control problems with nonlinear time-dependent 3D PDEs, full 4D discretizations are usually prohibitive due to the storage requirement. For this reason gradient and quasi-Newton methods working on the reduced functional are often employed. The computation of the reduced gradient requires one solve of the state equation forward in time, and one backward solve of the adjoint equation. The state enters into the adjoint equation, again requiring the storage of a full 4D data set. We propose a lossy compression algorithm using an inexact but cheap predictor for the state data, with additional entropy coding of prediction errors. As the data is used inside a discretized, iterative algorithm, lossy coding maintaining an error bound is sufficient.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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  • 8
    Publication Date: 2019-01-29
    Description: Regional hyperthermia is a cancer therapy aiming at heating tumors using phased array applicators. This article provides an overview over current mathematical challenges of delivering individually optimal treatments. The focus is on therapy planning and identification of technical as well as physiological quantities from MR thermometry measurements.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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  • 9
    Publication Date: 2019-05-10
    Description: Reasons for the failure of adaptive methods to deliver improved efficiency when integrating monodomain models for myocardiac excitation are discussed. Two closely related techniques for reducing the computational complexity of linearly implicit integrators, deliberate sparsing and splitting, are investigated with respect to their impact on computing time and accuracy.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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  • 10
    Publication Date: 2022-01-07
    Description: This paper presents concepts and implementation of the finite element toolbox Kaskade 7, a flexible C++ code for solving elliptic and parabolic PDE systems. Issues such as problem formulation, assembly and adaptivity are discussed at the example of optimal control problems. Trajectory compression for parabolic optimization problems is considered as a case study.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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