Bounding the residual finiteness of free groups

"Vegeu el resum a l'inici del document del fitxer adjunt."

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.

Immigrants'assimilation process in a segmented labor market

While much of the literature on immigrants' assimilation has focused on countries with a large tradition of receiving immigrants and with flexible labor markets, very little is known on how immigrants adjust to other types of host economies. With its severe dual labor market, and an unprecedented immigration boom, Spain presents a quite unique experience to analyze immigrations' assimilation process. Using data from the 2000 to 2008 Labor Force Survey, we find that immigrants are more occupationally mobile than natives, and that much of this greater flexibility is explained by immigrants' assimilation process soon after arrival. However, we find little evidence of convergence, especially among women and high skilled immigrants. This suggests that instead of integrating, immigrants occupationally segregate, providing evidence consistent with both imperfect substitutability and immigrants' human capital being under-valued. Additional evidence on the assimilation of earnings and the incidence of permanent employment by different skill levels also supports the hypothesis of segmented labor markets.

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.

Bacillus thuringiensis: fermentation process and risk assessment: a short review

Several factors make the local production of Bacillus thuringiensis (Bt) highly appropriate for pest control in developing nations. Bt can be cheaply produced on a wide variety of low cost, organic substrates. Local production results in considerable savings in hard currency which otherwise would be spent on importation of chemical and biological insecticides. The use of Bt in Brazil has been limited in comparison with chemical insecticides. Although Bt is imported, some Brazilian researchers have been working on its development and production. Fermentation processes (submerged and semi-solid) were applied, using by-products from agro-industries. As the semi-solid fermentation process demonstrated to be interesting for Bt endotoxins production, it could be adopted for small scale local production. Although promising results had been achieved, national products have not been registered due to the absence of a specific legislation for biological products. Effective actions are being developed in order to solve this gap. Regardless of the biocontrol agents being considered atoxic and harmless to the environment, information related to direct and indirect effects of microbials are still insufficient in many cases. The risk analysis of the use of microbial control agents is of upmost importance nowadays, and is also discussed.