Statistical properties of subgroups of free groups

The usual way to investigate the statistical properties of finitely generated subgroups of free groups, and of finite presentations of groups, is based on the so-called word-based distribution: subgroups are generated (finite presentations are determined) by randomly chosen k-tuples of reduced words, whose maximal length is allowed to tend to infinity. In this paper we adopt a different, though equally natural point of view: we investigate the statistical properties of the same objects, but with respect to the so-called graph-based distribution, recently introduced by Bassino, Nicaud and Weil. Here, subgroups (and finite presentations) are determined by randomly chosen Stallings graphs whose number of vertices tends to infinity. Our results show that these two distributions behave quite differently from each other, shedding a new light on which properties of finitely generated subgroups can be considered frequent or rare. For example, we show that malnormal subgroups of a free group are negligible in the raph-based distribution, while they are exponentially generic in the word-based distribution. Quite surprisingly, a random finite presentation generically presents the trivial group in this new distribution, while in the classical one it is known to generically present an infinite hyperbolic group.

Is the Spanish Inheritance and Gift Tax incompatible with the free movement of workers and capital?: The reasoned opinion of the EU Commission IP/10/513

The aim of my speech is answering to the question if the Spanish Inheritance and Gift Tax is incompatible with the free movement of workers and capital. We are going to pay special attention to the European Commission’s request to Spain to change its Inheritance and Gift Tax provisions for Non-Residents or Assets held abroad. In order to answer to the question mentioned above five points will be explained. At first place I am going to describe the infrengement procedure established in the Article 258 that the EU Commission can follow when a Member State doesn’t comply with Community Law. At second place, we are going to explain what is the content of the EU Commission delivered on 5th of may 2010 regarding the spanish Inheritance and Gift Tax. Then, we will analise what establishes the Community Law regarding the freedom of workers and capital and how they are understood by the EU Court of Justice in similar cases. Finally, we are going to provide possible amendments that Spain could undertake.

MMP-9 as predictive factor for response and progression free survival in breast cancer patients treated with bevacizumab and pegylated liposomal doxorubicin. A multicenter, single-arm phase II trial (SAKK24/06). On behalf of the Swiss Group for Clinical Cancer Research (SAKK).

The benefit of bevacizumab (Bv) has been shown in different tumors including colorectal cancer, renal cancer, pulmonary non-small cell cancer and also breast cancer. However to date, there is no established test evaluating the angiogenic status of a patient and monitoring the effects of anti-angiogenic treatments. Tumor angiogenesis is the result of a balance between multiple pro- and anti¬angiogenic molecules. There is very little published clinical data exploring the impact of the anti-angiogenic therapy on the different angiogenesis-related molecules and the potential role of these molecules as prognostic or predictive factors.

The antibody response in mice to carrier-free synthetic polymers of Plasmodium falciparum circumsporozoite repetitive epitope is I-Ab-restricted: possible implications for malaria vaccines.

The immunogenicity of a novel synthetic peptide consisting of an average of 40 (Asn-Ala-Asn-Pro) repeats of the circumsporozoite protein of Plasmodium falciparum, (NANP)40, was studied in mice without using any carrier proteins. First, high titers of anti-(NANP)40 antibodies could be obtained after immunization of C57BL/6 mice. These antibodies also reacted with an extract of mosquitoes infected with P. falciparum sporozoites. C57BL/6 nu/nu mice did not produce antibodies against (NANP)40. Secondly, when 14 strains of mice with nine different H-2 haplotypes were immunized with (NANP)40 without carrier, only H-2b mice were found to produce anti-(NANP)40 antibodies, whereas all non-H-2b mice were consistently unresponsive. This response was demonstrated to be I-A-linked by using recombinant and mutant mice. I-Ab [B10.A(5R)] mice produced anti-(NANP)40 antibodies as well as H-2b inbred mice. B6CH-2bm12 I-Ab-mutant mice showed only a very low response. Third, the antibody response against (NANP)40 could be induced in nonresponder mice by immunization with the peptide coupled to a carrier protein. In view of the existence of such an exceptional H-2b restriction in the response to sporozoite synthetic peptides in mice, the triggering of peptide-specific T cell responses in humans receiving sporozoite malaria vaccines might be difficult to achieve.

Rekonstruktion von Oberkieferdefekten mit einem freien Skapula-angle-Lappen [Reconstruction of maxillary defects using a free scapular angle flap].

BACKGROUND: In addition to prosthetic rehabilitation, maxillary defects can also be surgically reconstructed. Soft-tissue reconstruction employs a radial forearm or latissimus dorsi muscle flap, while bony reconstruction can be achieved using a fibula, iliac crest, or scapular flap. Reconstruction using a scapular flap is further divided into two subgroups: the traditional scapular flap with the circumflex scapular artery as the donor vessel and the scapular angle flap with the angular artery originating from the thoracodorsal artery as the donor vessel. MATERIALS AND METHODS: We report on four patients who underwent successful reconstruction with a free scapular angle flap between 2009 and 2011, following maxillary resection due to malignancy. RESULTS: Vertical positioning of the scapular angle flap enables reconstruction of the facial contour, whereas its horizontal alignment and microvascular anastomosis makes a bony reconstruction of the hard palate possible. CONCLUSIONS: The versatility, low rate of donor site morbidity and shape of the scapular angle flap--which resembles that of the hard palate--render it ideal for plastic reconstruction. The suitability of bone quality for dental rehabilitation with implants is a topic of controversial discussion. The scapular angle flap represents an alternative to obturator prosthesis for the reconstruction of maxillary defects ≥ grade I according to Okay et al.

Short-course thymoglobulin induction and steroid-free immunosuppressive regimen in renal transplantation

Purpose: Optimal induction and maintenance immunosuppressive therapies in renal transplantation are still a matter of debate.Chronic corticosteroid usage is a major cause of morbidity but steroid-free immunosuppression (SF) can result in unacceptably high rates of acute rejection and even graft loss. Methods and materials: We have conducted a prospective openlabelled clinical trial in the Geneva-Lausanne Transplant Network from March 2005 to May 2008. 20 low immunological risk (<20% PRA, no DSA) adult recipients of a primary kidney allograft received a 4-day course of thymoglobulin (1.5 mg/kg/d) with methylprednisolone and maintenance based immunosuppression of tacrolimus and entericcoated mycophenolic acid (MPA). The control arm consisted of 16 matched recipients treated with basiliximab induction, tacrolimus, mycophenolate mofetil and corticosteroids. Primary endpoints were the percentage of recipients not taking steroids and the percentage of rejection-free recipients at 12 months.Secondary end points were allograft survival at 12 months and significant thymoglobulin and/or other drugs side effects. Results: In the SF group, 85% of the kidney recipients remained steroid-free at 12 months. The 3 cases of steroids introduction were due to one acute tubulo-interstitial rejection occurring at day 11, one tacrolimus withdrawal due to thrombotic microangiopathy and one MPA withdrawal because of multiple sinusitis and CMV reactivations. No BK viremia was detected nor CMV disease. The 6 CMV negative patients who received a positive CMV allograft had a symptomatic primoinfection after their 6-month course valgancyclovir prophylaxis. In the steroid-based group, 3 acute rejection episodes (acute humoral rejection, acute tubulointerstitial Banff IA and vascular Banff IIA) occurred in 2 recipients, 3 BK virus nephropathies were diagnosed between 45 and 135 days post transplant No side effects were associated with thymoglobulin infusion.In the SF group, 4 recipients presented severe leukopenia or agranulocytosis and one recipient had febrile hepatitis leading to transient MPA withdrawal. Discontinuation of MPA was needed in 2 patients for recurrent sinusitis and CMV reactivations. Patient and graft survival was 100% in both groups at 12 month follow-up. Conclusion: Steroid-free with short-course thymoglobulin induction therapy was a safe protocol in low-risk renal transplant recipients. Lower rates of acute rejection and BK virus infections episodes were seen compared to the steroid-based control group. A longer follow-up will be needed to determine whether this SF immunosuppressive regimen will result in higher graft and patient survival.

Unexpected left ventricular free-wall rupture following an aortic catheter-valve implantation.

Our experience with the Sapien trans-apical aortic valve (Edwards Lifesciences Inc., Irvine, CA, USA) has been straightforward without per-procedural mortality except in 1/16 consecutive cases who developed non-apical haemorrhage early after valve implantation. We describe the case of an 84-year-old female carrying a very high operative risk (logistic EuroScore of 44%), who underwent a trans-apical stent-valve implantation for severe and symptomatic aortic valve stenosis (23 mm). Due to massive blood loss, an emergency sternotomy and cannulation for cardiopulmonary bypass resuscitation were necessary to treat (without success) an unusual and unexpected subaortic left ventricular free-wall rupture that occurred few minutes after the stent-valve positioning and implantation. To the best of our knowledge, this is the first described case of a left ventricular free-wall rupture occurring after an otherwise non-complicated standard catheter-based aortic valve replacement.

Intra- and interindividual variation in flank gland secretions of free-ranging shrews Crocidura russula

Individual differences in Rank gland secretions were examined among males of the monogamous shrew Crocidura russula during the breeding and nonbreeding seasons. Gas chromatography was used to measure intra- and interindividual variation of flank gland secretions of free-ranging shrews from different populations. The number of compounds detected by gas chromatographic analyses was correlated with body mass, flank gland size, and the presence of blood parasites in individual shrews. Very few compounds were detected from the Bank gland area of juvenile males. After they reached sexual maturity, however, the number of compounds detected from the Rank gland secretions increased significantly. At the beginning of the reproductive season 48 different compounds were detected from male flank gland secretions. In the middle of the breeding season 70 compounds were detected, while only 11 compounds were detected during the nonbreeding season. Few compounds were common to all males. There were more volatile compounds in the Bank gland secretions of males in the beginning of the breeding season than later in the breeding season. Males from the same population had fewer differences in the elution profile of compounds than males from different populations indicating that individuals from a distinct population have similar elution profiles of compounds and that each population has its own type of elution profile. No correlations were found between the number of compounds detected by gas chromatography for each male and the male's body mass or flank gland size. Blood parasites (trypanosomes, Trypanosoma crocidurae) were found in only three of 30 males investigated.

Pelvic organ prolapse surgery with and without tension-free vaginal tape in women with occult or asymptomatic urodynamic stress incontinence: a randomised controlled trial.

INTRODUCTION: We set out to determine if insertion of a retropubic tension-free vaginal tape (TVT) sling at the time of pelvic organ prolapse surgery improves continence outcomes in women with pre-operative occult stress incontinence (OSI) or asymptomatic urodynamic stress incontinence (USI). METHODS: We conducted a randomised controlled study of prolapse surgery with or without a TVT midurethral sling. The pre- and post-operative assessment at 6 months included history, physical examination and urodynamic testing. Quality of life (QOL) and treatment success was assessed with the UDI-6 SF, IIQ-7 SF and a numerical success score. The primary outcome was symptomatic stress urinary incontinence (SUI) requiring continence surgery (TVT) at 6 months. Long-term follow-up continued to a minimum of 24 months. Secondary outcomes were quality of life parameters. RESULTS: Eighty women received prolapse surgery alone (n = 43) or prolapse surgery with concurrent TVT (n = 37). Six months following prolapse surgery 3 out of 43 (7 %) patients in the no TVT group requested sling surgery compared with 0 out of 37 (0 %) in the TVT group (ARR 7 % [95 %CI: 3 to 19 %], p = 0.11). After 24 months there was one further participant in the no TVT group who received a TVT for treatment of SUI compared with none in the TVT group (4 out of 43, 9.3 % versus 0 out of 37; ARR 9.3 % [95 %CI: -1 to 22 %], p = 0.06). Both groups showed improvement in QOL difference scores for within-group analysis, without difference between groups. CONCLUSION: These results support a policy that routine insertion of a sling in women with OSI at the time of prolapse repair is questionable and should be subject to shared decision-making between clinician and patient.

Double-oblique free-breathing high resolution three-dimensional coronary magnetic resonance angiography.

OBJECTIVES: The goal of the present study was to develop a strategy for three-dimensional (3D) volume acquisition along the major axes of the coronary arteries. BACKGROUND: For high-resolution 3D free-breathing coronary magnetic resonance angiography (MRA), coverage of the coronary artery tree may be limited due to excessive measurement times associated with large volume acquisitions. Planning the 3D volume along the major axis of the coronary vessels may help to overcome such limitations. METHODS: Fifteen healthy adult volunteers and seven patients with X-ray angiographically confirmed coronary artery disease underwent free-breathing navigator-gated and corrected 3D coronary MRA. For an accurate volume targeting of the high resolution scans, a three-point planscan software tool was applied. RESULTS: The average length of contiguously visualized left main and left anterior descending coronary artery was 81.8 +/- 13.9 mm in the healthy volunteers and 76.2 +/- 16.5 mm in the patients (p = NS). For the right coronary artery, a total length of 111.7 +/- 27.7 mm was found in the healthy volunteers and 79.3 +/- 4.6 mm in the patients (p = NS). Comparing coronary MRA and X-ray angiography, a good agreement of anatomy and pathology was found in the patients. CONCLUSIONS: Double-oblique submillimeter free-breathing coronary MRA allows depiction of extensive parts of the native coronary arteries. The results obtained in patients suggest that the method has the potential to be applied in broader prospective multicenter studies where coronary MRA is compared with X-ray angiography.

A parameter-free approach for solving combinatorial optimization problems through biased randomization of efficient heuristics

This paper discusses the use of probabilistic or randomized algorithms for solving combinatorial optimization problems. Our approach employs non-uniform probability distributions to add a biased random behavior to classical heuristics so a large set of alternative good solutions can be quickly obtained in a natural way and without complex conguration processes. This procedure is especially useful in problems where properties such as non-smoothness or non-convexity lead to a highly irregular solution space, for which the traditional optimization methods, both of exact and approximate nature, may fail to reach their full potential. The results obtained are promising enough to suggest that randomizing classical heuristics is a powerful method that can be successfully applied in a variety of cases.

Drug uptake in a rodent sarcoma model after intravenous injection or isolated lung perfusion of free/liposomal doxorubicin.

The distribution of free and liposomal doxorubicin (Liporubicin) administered by intravenous injection (IV) or isolated lung perfusion (ILP) was compared in normal and tumor tissues of sarcoma bearing rodent lungs. A single sarcomatous tumor was generated in the left lung of 35 Fischer rats, followed 10 days later by left-sided ILP (n=20) or IV drug administration (n=12), using 100 microg and 400 microg free or liposomal doxorubicin, respectively. The tumor and lung tissue drug concentration was measured by HPLC. Free doxorubicin administered by ILP resulted in a three-fold (100 microg) and 10-fold (400 microg) increase of the drug concentration in the tumor and normal lung tissue compared to IV administration. In contrast, ILP with Liporubicin resulted in a similar drug uptake in the tumor and lung tissue compared to IV injection. For both drug formulations and dosages, ILP resulted in a higher tumor to lung tissue drug ratio but also in a higher spatial heterogeneity of drug distribution within the lung compared to IV administration. ILP resulted in a higher tumor to lung tissue drug ratio and in a more heterogeneous drug distribution within the lung compared to IV drug administration.

Cell-free reconstitution of microautophagy in yeast.

Microautophagy is the direct uptake of soluble or particulate cellular constituents into lysosomes. Here, I describe methods to reconstitute and study this process in vitro, using vacuoles (lysosomes) from the yeast Saccharomyces cerevisiae as model organelles. Protocols to grow the cells, isolate vacuoles from them, and to induce microautophagy of soluble tracers are presented.