L^p boundedness of the wave operator for the one dimensional Schroedinger operator

Given a one dimensional perturbed Schroedinger operator H=-(d/dx)^2+V(x) we consider the associated wave operators W_+, W_- defined as the strong L^2 limits as s-> \pm\infty of the operators e^{isH} e^{-isH_0} We prove that the wave operators are bounded operators on L^p for all 1<p<\infty, provided (1+|x|)^2 V(x) is integrable, or else (1+|x|)V(x) is integrable and 0 is not a resonance. For p=\infty we obtain an estimate in terms of the Hilbert transform. Some applications to dispersive estimates for equations with variable rough coefficients are given.Comment: 26 page

Tissue-engineered trachea: History, problems and the future

This review tries to summarize the efforts over the past 20 years to construct a tissue-engineered trachea. After illustrating the main technical bottlenecks faced nowadays, we discuss what might be the solutions to these bottlenecks. You may find out why the focus in this research field shifts dramatically from the construction of a tubular cartilage tissue to reepithelialization and revascularization of the prosthesis. In the end we propose a novel concept of ‘in vivo bioreactor', defined as the design of a perfusion system inside the scaffold, and explain its potential application in the construction of a tissue-engineered trache

Mechanochemistry in polymers with supramolecular mechanophores

Mechanochemistry is a burgeoning field of materials science. Inspired by nature, many scientists have looked at different ways to introduce weak bonds into polymeric materials to impart them with function and in particular mechano-responsiveness. In the following sections, the incorporation of some of the weakest bonds, i.e. non- covalent bonds, into polymeric solids is being surveyed. This review covers sequentially π–π interactions, H-bonding and metal-ligand coordination bonds and tries to highlight some of the advantages and limitations of such systems, while providing some key perspective of what may come next in this tantalizing field

On Inverse Scattering at a Fixed Energy for Potentials with a Regular Behaviour at Infinity

We study the inverse scattering problem for electric potentials and magnetic fields in \ere^d, d\geq 3, that are asymptotic sums of homogeneous terms at infinity. The main result is that all these terms can be uniquely reconstructed from the singularities in the forward direction of the scattering amplitude at some positive energy.Comment: This is a slightly edited version of the previous pape

Non-steroidal anti-inflammatory drugs decrease the quality of pleurodesis after mechanical pleural abrasion

Objective: Non-steroidal anti-inflammatory drugs (NSAIDs) are often applied for pain management after thoracic surgery. Since these drugs diminish collagen deposition through inhibition of the prostaglandin synthesis, we investigated their effects on adhesion formation after endoscopic mechanical pleural abrasion, which is often applied in the therapy of pneumothorax. Methods: Mechanical pleural abrasion was performed unilaterally by the use of video-assisted thoracoscopic surgery technique in an established pig model. Ten animals (41.3±3.4 kg) were divided into a treatment group and a control group. In the treatment group, animals received 100 mg diclofenac (2 mg/kg body weight) orally daily for 3 weeks after surgery. At 3 weeks, all animals were sacrificed and efficacy of pleurodesis was macroscopically assessed by three independent reviewers blinded to the treatment of animals using a five-point severity pleurodesis score (from 0, no adhesions to 4, complete symphisis) and obliteration grade rating the distribution of adhesions (from 0, no adhesions to 4, adhesions in the whole chest). Microscopic evaluation was performed by two pathologists blinded to the study groups as well. A four-point score assessed the amount of collagen deposition (from 1, a few collagen fibers to 4, scar). Results: Gross observation showed more dense adhesions in control animals with a median pleurodesis score of 3.67±1.0 in comparison to 2±2.2 in the treatment group (P=0.01*, Mann-Whitney non-parametric test). Distribution of adhesions was comparable in both groups with a median obliteration score of 3.67±1.3. Histopathologic examination showed a higher amount of collagen deposition in the control group, suggesting more dense adhesions, whereas in the treatment group there was loose granulation tissue (score of 4.0±0.8 vs. 2.3±1.0 in the treatment group, P=0.06). The degree of inflammatory reaction was comparable in the two groups. Conclusions: Our results demonstrate that perioperative use of NSAIDs highly affects the quality of pleural adhesions obtained after mechanical abrasion in this pig model, which further suggests that these drugs should be avoided for pain management when a pleurodesis is performe

Small-Energy Analysis for the Selfadjoint Matrix Schroedinger Operator on the Half Line

The matrix Schroedinger equation with a selfadjoint matrix potential is considered on the half line with the most general selfadjoint boundary condition at the origin. When the matrix potential is integrable and has a first moment, it is shown that the corresponding scattering matrix is continuous at zero energy. An explicit formula is provided for the scattering matrix at zero energy. The small-energy asymptotics are established also for the corresponding Jost matrix, its inverse, and various other quantities relevant to the corresponding direct and inverse scattering problems.Comment: This published version has been edited to improve the presentation of the result

The postpneumonectomy syndrome: clinical presentation and treatment

Background: Postpneumonectomy syndrome (PPS) is a rare complication after pneumonectomy. It consists of an excessive mediastinal shift resulting in compression and stretching of the tracheobronchial tree and the esophagus. The aim of this study was to give a comprehensive overview of diagnosis, variety of symptoms and evaluation of surgical treatment of PPS. Methods: We retrospectively reviewed the charts of all our patients with PPS since 1994 with respect to symptomatology, treatment and outcome. Our results were compared with case reports and case series in the literature. Results: Six women with a median age of 56.5 years (range 49-65) developed PPS after pneumonectomy for the treatment of lung cancer. Four presented with a right PPS and two with a left PPS, respectively. Symptoms consisted of shortness of breath in all patients and dysphagia as well as heartburn in two patients. Correction of PPS required re-exploration of the pneumonectomy space, reposition of the mediastinum followed by the insertion of single silicone prosthesis in five patients or fixation of the mediastinum with a xenopericardial graft in one patient. We could observe an improvement of the FEV(1)/FVC ratio in all our patients and the clinical improvement of shortness of breath was better than we expected by changes of lung function. Four patients returned to their regular activities with a follow-up of four years. We found 73 cases of PPS in the literature, on the right side in 50 patients (68%) and on the left side in 23 patients (32%). Fifty-nine patients (81%) were treated surgically. Symptoms can be suspicious for cardiogenic origin and vary from heartburn to recurrent syncopes. Conclusion: PPS is rare and not predictable. It can occur after right or left pneumonectomy. Symptoms are manifold and result from a shift, leading to compression and stretching of the two conduits located within the mediastinum, the tracheobronchial tree and the esophagus and consists of shortness of breath, stridor and heartburn. Diagnosis must be made by exclusion. Implantation of prosthesis is the most commonly used and effective treatmen

Impact of preoperative right-ventricular function and platelet transfusion on outcome after lung transplantation

Objective: Lung transplantation has become an established treatment option for end-stage pulmonary diseases. However, outcome depends on preoperative condition and co-morbidity. Furthermore, perioperative blood-product use is known to be associated with worse outcome even in transplant surgery. We investigated the impact of poor preoperative right-ventricular function and blood-product use on outcome after lung transplantation. Methods: The medical records of 169 lung-transplant recipients from 1996 to 2006 were examined. Duration of hospital stay, hours on mechanical ventilation, duration of stay in the intensive care unit, perioperative complications, death during hospital stay, and long-term survival were recorded. These outcome parameters were analyzed regarding coherence with right-ventricular function and the perioperative administration of crystalloids, colloids, allogeneic red blood cells, fresh frozen plasma, and platelets. Results: Patients with poor preoperative right-ventricular function had a significant increase in postoperative hours on ventilation (p=0.005), intensive care stay (p=0.003), and in-hospital death (p=0.012). The hours on ventilation increased also with high intra-operative fluid administration (p=0.026). Blood-product use was associated with prolonged mechanical ventilation and intensive care stay. After multivariate analysis, transfusion of platelets (p=0.022) was an independent prognostic factor for in-hospital death. Hours of mechanical ventilation was the only independent prognostic factor for long-term mortality (p=0.014). Conclusions: Perioperative transfusion of platelets is an independent prognostic factor for perioperative mortality. Furthermore, the study indicated that poor preoperative right-ventricular function might worsen perioperatively after lung transplantation. Therefore, pre-transplant treatment of pulmonary hypertension to protract right-ventricular failure and a restrictive use of allogeneic blood products may be options to improve outcom

Airway complications after lung transplantation: risk factors, prevention and outcome

PURPOSE: Anastomotic complications following lung transplantation (LuTx) have been described in up to 15% of patients. Challenging to treat, they are associated with high morbidity and a mortality rate of 2-5%. The aim of this study was to analyze the incidence of complications in a consecutive series of bronchial anastomosis after LuTx at our center and to delineate the potential risk factors. METHODS: Between 1992 and 2007, 441 bronchial anastomoses were performed in 235 patients. Indications for transplantation were cystic fibrosis (35.7%) emphysema (28.1%) pulmonary fibrosis (12.8%) and pulmonary hypertension (7.7%). There were 206 sequential bilateral and 28 single transplants including lobar engraftments in 20 cases. The donor bronchus was shortened to the plane of the lobar carina including the medial wall of the intermediate bronchus. Peribronchial tissue was left untouched. Anastomosis was carried out using a continuous absorbable running suture (PDS 4/0) at the membranous and interrupted sutures at the cartilaginous part. Six elective surveillance bronchoscopies were done monthly during the first half-year post-LuTx, with detailed assessment of the pre- and post-anastomotic airways. RESULTS: One-year survival since 2000 was 90.5%. In all 441 anastomoses performed, no significant dehiscence was observed. In one patient, a small fistula was detected and closed surgically on postoperative day five. Fungal membranes were found in 50% of the anastomoses at 1 month and in 14% at 6 months. Discrete narrowing of the anastomotic lumen without need for intervention was found in 4.9% of patients at 1 month and in 2.4% at 6 months. Age, cytomegalovirus status, induction therapy, immunosuppressive regimen, ischemic time, and ventilation time had no influence on bronchial healing. CONCLUSIONS: Clinically relevant bronchial anastomotic complications after LuTx can be avoided by use of a simple standardized surgical technique. Aggressive antibiotic and antifungal therapy might play an important supportive rol

Formulas and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential

For the Schrodinger equation at fixed energy with a potential supported in a bounded domain we give formulas and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential. For the case of zero background potential these results were obtained in [R.G.Novikov, Multidimensional inverse spectral problem for the equation -\Delta\psi+(v(x)-Eu(x))\psi=0, Funkt. Anal. i Ego Prilozhen 22(4), pp.11-22, (1988)]