Asymptotic freedom, dimensional transmutation, and an infrared conformal fixed point for the δ-function potential in one-dimensional relativistic quantum mechanics

We consider the Schrödinger equation for a relativistic point particle in an external one-dimensional δ-function potential. Using dimensional regularization, we investigate both bound and scattering states, and we obtain results that are consistent with the abstract mathematical theory of self-adjoint extensions of the pseudodifferential operator H=p2+m2−−−−−−−√. Interestingly, this relatively simple system is asymptotically free. In the massless limit, it undergoes dimensional transmutation and it possesses an infrared conformal fixed point. Thus it can be used to illustrate nontrivial concepts of quantum field theory in the simpler framework of relativistic quantum mechanics.

Assessment of patient setup errors in IGRT in combination with a six degrees of freedom couch

PURPOSE The range of patient setup errors in six dimensions detected in clinical routine for cranial as well as for extracranial treatments, were analyzed while performing linear accelerator based stereotactic treatments with frameless patient setup systems. Additionally, the need for re-verification of the patient setup for situations where couch rotations are involved was analyzed for patients treated in the cranial region. METHODS AND MATERIALS A total of 2185 initial (i.e. after pre-positioning the patient with the infrared system but before image guidance) patient setup errors (1705 in the cranial and 480 in the extracranial region) obtained by using ExacTrac (BrainLAB AG, Feldkirchen, Germany) were analyzed. Additionally, the patient setup errors as a function of the couch rotation angle were obtained by analyzing 242 setup errors in the cranial region. Before the couch was rotated, the patient setup error was corrected at couch rotation angle 0° with the aid of image guidance and the six degrees of freedom (6DoF) couch. For both situations attainment rates for two different tolerances (tolerance A: ± 0.5mm, ± 0.5°; tolerance B: ± 1.0 mm, ± 1.0°) were calculated. RESULTS The mean (± one standard deviation) initial patient setup errors for the cranial cases were -0.24 ± 1.21°, -0.23 ± 0.91° and -0.03 ± 1.07° for the pitch, roll and couch rotation axes and 0.10 ± 1.17 mm, 0.10 ± 1.62 mm and 0.11 ± 1.29 mm for the lateral, longitudinal and vertical axes, respectively. Attainment rate (all six axes simultaneously) for tolerance A was 0.6% and 13.1% for tolerance B, respectively. For the extracranial cases the corresponding values were -0.21 ± 0.95°, -0.05 ± 1.08° and -0.14 ± 1.02° for the pitch, roll and couch rotation axes and 0.15 ± 1.77 mm, 0.62 ± 1.94 mm and -0.40 ± 2.15 mm for the lateral, longitudinal and vertical axes. Attainment rate (all six axes simultaneously) for tolerance A was 0.0% and 3.1% for tolerance B, respectively. After initial setup correction and rotation of the couch to treatment position a re-correction has to be performed in 77.4% of all cases to fulfill tolerance A and in 15.6% of all cases to fulfill tolerance B. CONCLUSION The analysis of the data shows that all six axes of a 6DoF couch are used extensively for patient setup in clinical routine. In order to fulfill high patient setup accuracies (e.g. for stereotactic treatments), a 6DoF couch is recommended. Moreover, re-verification of the patient setup after rotating the couch is required in clinical routine.

Pitfalls and premature failure of the Freedom SOLO stentless valve.

OBJECTIVES This study reports a series of pitfalls, premature failures and explantations of the third-generation Freedom SOLO (FS) bovine pericardial stentless valve. METHODS A total of 149 patients underwent aortic valve replacement using the FS. Follow-up was 100% complete with an average observation time of 5.5 ± 2.3 years (maximum 8.7 years) and a total of 825 patient-years. Following intraoperative documentation, all explanted valve prostheses underwent histological examination. RESULTS Freedom from structural valve deterioration (SVD) at 5, 6, 7, 8 and 9 years was 92, 88, 80, 70 and 62%, respectively. Fourteen prostheses required explantation due to valve-independent dysfunction (n = 5; i.e. thrombus formation, oversizing, aortic dilatation, endocarditis and suture dehiscence) or valve-dependent failure (acute leaflet tears, n = 4 and severe stenosis, n = 5). Thus, freedom from explantation at 5, 6, 7, 8 and 9 years was 95, 94, 91, 81 and 72%, respectively. An acute vertical tear along the non-coronary/right coronary commissure to the base occurred at a mean of 6.0 years (range 4.3-7.3 years) and affected size 25 and 27 prostheses exclusively. Four FS required explantation after a mean of 7.5 years (range 7.0-8.3 years) due to severe functional stenosis and gross calcification that included the entire aortic root. CONCLUSIONS The FS stentless valve is safe to implant and shows satisfying mid-term results in our single institution experience. Freedom from SVD and explantation decreased markedly after only 6-7 years, so that patients with FS require close observation and follow-up. Exact sizing, symmetric positioning and observing patient limitations are crucial for optimal outcome.

The Freedom SOLO bovine pericardial stentless valve

Abstract: The third-generation bovine pericardium Freedom SOLO (FS) stentless valve emerged in 2004 as a modified version of the Pericarbon Freedom stentless valve and as a very attractive alternative to stented bioprostheses. The design, choice of tissue, and anticalcification treatment fulfill most, if not all, requirements for an ideal valve substitute. The FS combines the single-suture, subcoronary implantation technique with the latest-generation bovine pericardial tissue and novel anticalcification treatment. The design allows imitation of the native healthy valve through unrestricted adaption to the patient's anatomy, reproducing a normal valve/root complex. However, despite hemodynamic performance superior to stented valves, we are approaching a critical observation period as superior durability, freedom from structural valve deterioration, and nonstructural failure has not been proven as expected. However, optimal performance and freedom from structural valve deterioration depend on correct sizing and perfect symmetric implantation, to ensure low leaflet stress. Any malpositioning can lead to tissue fatigue over time. Furthermore, the potential for better outcomes depends on optimal patient selection and observance of the limitations for the use of stentless valves, particularly for the FS. Clearly, stentless valve implantation techniques are less reproducible and standardized, and require surgeon-dependent experience and skill. Regardless of whether or not stentless valve durability surpasses third-generation stented bioprostheses, they will continue to play a role in the surgical repertoire. This review intends to help practitioners avoid pitfalls, observe limitations, and improve patient selection for optimal long-term outcome with the attractive FS stentless valve.

The Freedom SOLO bovine pericardial stentless valve: Single-center experience, outcome and long-term durability

Abstract Objectives We report our institutional experience and long-term results with the Sorin Freedom SOLO bovine pericardial stentless bioprosthesis. Methods Between January 2005 and November 2009, 149 patients (mean age 73.6±8.7 years, 68 [45.6%] female) underwent isolated (n=75) or combined (n=74) aortic valve replacement (AVR) using the SOLO in our institution. Follow-up was 100% complete with an average follow-up time of 5.9±2.6 years (maximum 9.6 years) and a total of 885.3 patient years. Results Operative (30-day) mortality was 2.7% (1.3% for isolated AVR [n=1] and 4.0% for combined procedures [n=3]). All causes of death were not valve-related. Preoperative peak (mean) gradients of 74.2±23.0 mmHg (48.6 ± 16.3 mmHg) decreased to 15.6±5.4 (8.8±3.0) after AVR, and remained low for up to 9 years. The postoperative effective orifice area (EOA) was 1.6 ±0.57 cm2, 1.90±0.45 cm2, 2.12±0.48 cm2 and 2.20±0.66 cm2 for the valve sizes 21, 23, 25 and 27, respectively; with absence of severe prosthesis-patient-mismatch (PPM) and 0.7% (n=1) moderate PPM. During follow-up, Twenty-six patients experienced structural valve deterioration (SVD) and 14 patients underwent explantation. Kaplan-Meier estimates for freedom from death, explantation and SVD at 9 years averaged 0.57 [0.47‒0.66], 0.82 [0.69‒0.90] and 0.70 [0.57‒0.79], respectively. Conclusions The Freedom SOLO stentless aortic valve is safe to implant and shows excellent early and mid-term hemodynamic performance. However, SVD was observed in a substantial number of patients after only 5 ̶ 6 years and the need for explantation increased markedly, suggesting low durability.

Clinical experience with the freedom SOLO stentless aortic valve in 277 consecutive patients.

BACKGROUND The Sorin Freedom SOLO (FS) bovine pericardial stentless valve prosthesis is designed for supraannular, subcoronary implantation. We report our experience and results with 277 consecutively implanted FS bioprostheses. METHODS 277 patients (mean age, 74.2 ± 7.3 years; 139 (50.2%) female) underwent aortic valve replacement (AVR) with the FS stentless bioprosthesis. The hemodynamic performance was investigated with transthoracic echocardiography at discharge, 6 months later, and yearly thereafter. Follow-up was 100% complete, with an average observation time of 2.6 ± 1.7 years and a total of 697.3 patient-years. RESULTS The overall 30-day mortality was 4.3%. The mortalities for isolated AVR and combined procedures were 1.9% and 7.3%, respectively. No causes of death were valve-related. Preoperative peak (74.2 ± 23.0 mm Hg) and mean (48.6 ± 16.3 mm Hg) gradients decreased to 15.6 ± 5.4 mm Hg and 8.8 ± 3.0 mm Hg postoperatively and remained unchanged for as long as 5 years. The postoperative mean effective orifice area (EOA) for valve sizes 19, 21, 23, 25, and 27 were 1.49 ± 0.32 cm(2), 1.67 ± 0.40 cm(2), 1.92 ± 0.38 cm(2), 2.01 ± 0.42 cm(2), and 2.13 ± 0.36 cm(2), respectively. Severe prosthesis-patient mismach (PPM) was completely absent, and moderate PPM occurred in 17 patients (6.1%). In isolated AVR, 0.8% of patients with preoperative sinus rhythm required a permanent pacemaker before hospital discharge. There was 100% freedom from structural valve deterioration, 99.6 % freedom from endocarditis and reoperation, and 97.3% freedom from thromboembolism at 5 years. CONCLUSIONS The FS stentless aortic valve is safe to implant, and it shows excellent hemodynamic performance and early and midterm results. Owing to the favorable EOA, the valve appears particularly attractive for patients at risk for PPM.