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.

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.

Estudi de la configuració magnètica de l'experiment LTP (LISA Technology Package)

La Teoria de la Relativitat General preveu que quan un objecte massiu és sotmès a una certa acceleració en certes condicions ha d’emetre ones gravitacionals. Es tracta d’un tipus d’on altament energètica però que interacciona amb la matèria de manera molt feble i el seu punt d’emissió és força llunyà. Per la qual cosa la seva detecció és una tasca extraordinàriament complicada. Conseqüentment, la detecció d’aquestes ones es creu molt més factible utilitzant instruments situats a l’espai. Amb aquest objectiu, neis la missió LISA (Laser Interferometer Space Antenna). Es tracta aquesta d’una missió conjunta entre la NASA i l’ESA amb llançament previst per 2020-2025. Per reduir els riscs que comporta una primera utilització de tecnologia no testejada, unit a l’alt cost econòmic de la missió LISA. Aquesta missió contindrà instruments molt avançats: el LTP (LISA Technoplogy Package), desenvolupat per la Unió Europea, que provarà la tecnologia de LISA i el Drag Free flying system, que s’encarregarà de provar una sèrie de propulsors (thrusters) utilitzats per al control d’actitud i posició de satèl•lit amb precisió de nanòmetres. Particularment, el LTP, està composat per dues masses de prova separades per 35 centímetres, i d’un interferòmetre làser que mesura la variació de la distància relativa entre elles. D’aquesta manera, el LTP mesurarà les prestacions dels equips i les possibles interferències que afecten a la mesura. Entre les fonts de soroll es troben, entre d’altres, el vent i pressió de radiació solar, les càrregues electrostàtiques, el gradient tèrmic, les fluctuacions de voltatge o les forces internes. Una de les possibles causes de soroll és aquella que serà l’objecte d’estudi en aquest projecte de tesi doctoral: la presència dintre del LTP de camps magnètics, que exerceixen una força sobre les masses de prova, la seva estimació i el seu control, prenent en compte les caracterírstiques magnètiques de l’experiment i la dinàmica del satèl•lit.

Clustering or scattering: the underlying reason for regulating distance among retail outlets

Concerns on the clustering of retail industries and professional services in main streets had traditionally been the public interest rationale for supporting distance regulations. Although many geographic restrictions have been suppressed, deregulation has hinged mostly upon the theory results on the natural tendency of outlets to differentiate spatially. Empirical evidence has so far offered mixed results. Using the case of deregulation of pharmacy establishment in a region of Spain, we empirically show how pharmacy locations scatter, and that there is not rationale for distance regulation apart from the underlying private interest of very few incumbents.

How does a hilly urban environment influence daily physical activity in obese individuals?

Background: Increases in physical activity (PA) are promoted by walking in an outdoor environment. Along with walking speed, slope is a major determinant of exercise intensity, and energy expenditure. The hypothesis was that in free-living conditions, a hilly environment diminishes PA to a greater extent in obese (OB) when compared with control (CO) individuals. Methods: To assess PA types and patterns, 28 CO (22 ± 2 kg/m2) and 14 OB (33 ± 4 kg/m2) individuals wore during an entire day 2 accelerometers and 1 GPS device, around respectively their waist, ankle and shoulder. They performed their usual PA and were asked to walk an additional 60 min per day. Results: The duration of inactivity and activity with OB individuals tended to be, respectively, higher and lower than that of CO individuals (P = .06). Both groups spent less time walking uphill/downhill than on the level (20%, 19%, vs. 61% of total walking duration, respectively, P < .001). However OB individuals spent less time walking uphill/downhill per day than CO (25 ± 15 and 38 ± 15 min/d, respectively, P < 0.05) and covered a shorter distance per day (3.8 km vs 5.2 km, P < 0.01). Conclusions: BMI and outdoor topography should also be considered when prescribing extra walking in free-living conditions.

Consolidació de la Plataforma COMalaWEB com a eina Web d'autoaprenentatge per a l'EEES

La plataforma d’e-learning: COMalaWEB és una eina multimedia de suport a l’estudi, l’experimentació i l’adquisició de tècniques d’autoaprenentatge. COMalaWEB s’ofereix com a punt de trobada entre estudiants, professors i altres professionals relacionats amb el mon de les telecomunicacions i/o de la docència universitària. Mitjançant el present projecte s’ha dut a terme la consolidació de la plataforma COMalaWEB com a eina WWW d'autoaprenentatge per a l'EEES (Estudis de Bachelor i de Màster): Dins de la plataforma s’hi ha integrat un Laboratori Virtual per a comunicacions analògiques i digitals (LaViCAD) que ofereix activitats experimentals amb un gran ventall de possibilitats que van des de les demostracions teòriques fins a l’emulació de sistemes de comunicacions quotidians com per exemple la televisió digital o el sistema Wifi dels sistemes WLAN. L’altre gran component de la plataforma es la base de dades de continguts empaquetada en unitats bàsiques anomenades objectes de coneixement, organitzada en cursos, integren tant continguts teòrics com un conjunt d’exercicis proposats per a aprofundir cadascun dels temes tractats. Amb l’actual projecte s’ha treballat en les següents línies d’actuació: - Integració dels simuladors del laboratori LAVICAD a la plataforma d’autoaprenentatge. - Creació de base de dades de recursos docents basats en paquets SCORM per a oferir materials docents de tipus teòric i col·leccions d’exercicis resolts en el marc de les diferents assignatures participants en el projecte. - Creació de base de dades de tipus qüestionari per a oferir exercicis a treballar en el marc de les diferents assignatures participants en el projecte. - Inserció de metodologies docents basades en els anteriors recursos en diferents assignatures d’estudis d’enginyeria i de màster.

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.

Parents, television and cultural change

This paper develops a model of cultural transmission where television plays a central role for socialization. Parents split their free time between educating their children which is costly and watching TV which though entertaining might socialize the children to the wrong trait. The free to air television industry maximizes advertisement revenue. We show that TV watching is increasing in cultural coverage, cost of education, TV's entertainment value and decreasing in the perceived cultural distance between the two traits. A monopolistic television industry captures all TV watching by both groups if the perceived cultural distance between groups is small relative to the TV's entertainment value. Otherwise, more coverage will be given to the most profitable group where profitability increases in group size, advertisement sensitivity and perceived cultural distance. This leads to two possible steady states where one group is larger but both groups survive in the long run. Competition in the media industry might lead to cultural extinction but only if one group is very insensitive to advertisement and not radical enough not to watch TV. We briefly discuss the existing evidence for the empirical predictions of the model.