A new elementary proof for M-stationarity under MPCC-GCQ for mathematical programs with complementarity constraints

It is known in the literature that local minimizers of mathematical programs with complementarity constraints (MPCCs) are so-called M-stationary points, if a weak MPCC-tailored Guignard constraint qualification (called MPCC-GCQ) holds. In this paper we present a new elementary proof for this result. Our proof is significantly simpler than existing proofs and does not rely on deeper technical theory such as calculus rules for limiting normal cones. A crucial ingredient is a proof of a (to the best of our knowledge previously open) conjecture, which was formulated in a Diploma thesis by Schinabeck.Comment: 7 page

Transanal endoscopic microsurgical excision of rectal tumors: Indications and results

Transanal endoscopic microsurgery (TEM) allows local excision of rectal tumors located 4 to 18 cm above the anal verge. The technique is not yet generally established because of the necessary special instrumentation and tools, the unusual technical aspects of the approach, and the stringent patient selection criteria. The aim of this prospective, descriptive study was to analyze the currently accepted indications for TEM and to evaluate the use of this procedure for treating rectal cancer. Over a 4-year period 50 patients aged 31 to 86 years (mean 64 years) underwent TEM for treatment of rectal tumors located 12 cm above the anal verge (range 4-18 cm). The local complication rate was 4%. Altogether, 76% of lesions were benign, and 24% were T1 and T2 tumors. Of 12 cancer cases, 4 required reoperation by total mesorectal resection; the other 8 are currently under follow-up management. Over the follow-up period of 30.6 months (range 11-54 months) the recurrence rate of T1 tumors was 8.3%. TEM is a minimally invasive surgical technique that may benefit a small, specific population of patients with rectal tumors. Compared with conventional transanal resection, TEM provides superior exposure of tumors higher up in the rectum (i.e., up to 18 cm from the anal verge). The greater precision of resection combined with low morbidity (10%, relative to that of anterior resection) and short duration of hospitalization (5.5 days) make this technique a reliable and in some cases more effective surgical approach than laparotomy and low anterior resectio

Increased surface expression of CD18 and CD11b in leukocytes after tourniquet ischemia during elective hand surgery

The surface expression of β2-integrins was investigated in leukocytes from patients undergoing ischemia induced by tourniquet application for elective hand surgery. Blood samples were obtained before initiation, at the end of ischemia, and after 15 minutes of reperfusion from ischemic and contralateral arms of five patients. Comparable expression of CD18, CD11a, CD11b, and CD11c could be detected by immunofluorescence in leukocytes from samples drawn from either arm before tourniquet application. In contrast, a significant increase in the expression of CD18 was detectable in monocytes, granulocytes, and lymphocytes from the ischemic arm compared with that in the nonischemic contralateral control, at the end of the ischemia time (80 ± 16 minutes). A significantly increased expression of CD11b, but not CD11a or CD11c, determinants was also observed in granulocytes and monocytes. Concomitantly, a significant reduction in the percentages of granulocytes in samples from ischemic areas was detectable. After 15 minutes of reperfusion, differences in the expression of these adhesion molecules were no longer significant. The expression of the genes encoding interleukins IL-1α, IL-1β, and IL-6 and tumor necrosis factor alpha (TNFα) proinflammatory cytokines was also studied by reverse polymerase chain reaction (rPCR) in peripheral blood mononuclear cells (PBMCs) obtained from the same samples in three patients. IL-1β or IL-6 gene expression was never observed. Expression of IL-1α and TNFα genes, as detected in two patients, was not related with induction of ischemia. However, in these patients expression of one or both these genes was observed in samples derived from the ischemic but not the control arm after 15 minutes of reperfusion. These data document that overexpression of adhesion molecules and sequestration of leukocytes take place following short ischemia times, as routinely applied clinically for minor surgical procedure

Active Antigen-specific Immunotherapy of Melanoma: from Basic Science to Clinical Investigation

Advanced-stage melanoma here dismal prognosis, and novel therapeutic approaches are urgently required. The possibility of taking advantage of the immune response of patients for its treatment has been an appealing concept for almost a century. Only during the last decade, however, has the molecular identification of tumor-associated antigens (TAAs) offered the possibility of vaccinating patients (e.g., active induction of TAA-specific immune responses). Active antigen-specific immunotherapy (AASIT) is currently being investigated in a number of clinical centers as a treatment option for advanced-stage melanoma. A large number of melanoma TAAs have been molecularly characterized and are being used in vaccination trials in various molecular forms and according to various immunization protocols. Here we provide a short overview on melanoma TAAs, the technologies currently in use to induce specific cytotoxic T-lymphocyte (CTL) responses in vivo, and their monitoring. We also propose a tentative AASIT agenda for the next few years, aiming at improving the capacity to induce and monitor TAA-specific immune responses and to verify their clinical effectivenes

Calcium Complexes Having Different Amidinate Ligands - Synthesis and Structural Diversity

A one-pot reaction of α-diimine ligand 1,4-disubstituted diazabutadienes (DAD) with potassium benzyl and anhydrous calcium iodide in 1:1:1 molar ratio afforded unprecedented 3-phenylprop-2-ene-di-amido calcium compound [κ2-(THF)4Ca{DippNC(=CHPh)CH2NDipp}] (1) (Dipp = 2,6-diisopropylphenyl) in good yield. The solid-state structure of the compound 1 revealed the formation of dianionic 3-phenylprop-2-ene-di-amido ligand having an exocyclic olefinic bond derived from neutral α-diimine fragment. However, analogous reactions with three different carbodiimides (RN=C=NR; R=Cy, iPr and tBu) with alkyl potassium and anhydrous calcium diiodide yielded corresponding homoleptic calcium compounds with amidinato ligand [κ2-(THF)2Ca{RN=C(CH2Ph)NR}2] [R=Cy (2), iPr (3) and tBu (4)]. A separate reaction of DAD ligand, LiCH2SiMe3 and anhydrous ZnCl2 in diethylether solvent produced tri-coordinated zinc compound [κ2- {DippN=C(CH2SiMe3)CH2NDipp}Zn[κ1-{DippN=C(CH2SiMe3)CH2N-Dipp}] (5) having amidinato moieties in the zinc coordination sphere in high yield. Molecular structures of compounds 2–5 in their solid states were also established

Einfluss von Impfungen und Kontaktreduktionen auf die dritte Welle der SARS-CoV-2-Pandemie und perspektivische Rückkehr zu prä-pandemischem Kontaktverhalten

Das im Epidemiologischen Bulletin 13/2021 vorgestellte mathematische Modell schätzt die voraussichtlichen Effekte der COVID-19-Impfung in der Bevölkerung in Deutschland und vergleicht mögliche Strategien zur Priorisierung einzelner Bevölkerungsgruppen bei Knappheit der verfügbaren Impfstoffdosen. Das Modell ermöglicht nicht nur die Abbildung des aktuellen Infektionsgeschehens, sondern kann über Fragestellungen zur Impfstrategie hinaus auch Strategien zur Lockerung der bestehenden bzw. die Wiederaufnahme von Kontaktbeschränkungen analysieren. Dabei können saisonale Effekte auf die Übertragung von SARS-CoV-2 sowie der Einfluss neuer Virusvarianten berücksichtigt werden