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AimsCardiopulmonary exercise testing (CPET) parameters are used for heart failure (HF) prognostication. While the ventilation to carbon dioxide production (VE/VCO2) slope ≥34 identifies high risk, patients with intermediate values remain heterogeneous. The VE/VCO2 Y-intercept, reflecting dead space ventilation at rest and its changes during effort, may refine prognostication.MethodsWe retrospectively analysed 2642 HF. Follow-up was 26 (9–63) months. The study endpoint was the composite of all-cause death, urgent transplant or left ventricular assist device implantation.ResultsMedian age was 62 (53–70) years and left ventricular ejection fraction (LVEF) 33% (27%–39%). 27% of patients were New York Heart Association class III–IV. During follow-up, 534 events occurred. Both VE/VCO₂ slope and peakVO₂ were associated with outcome in univariable and multivariable models (HR 1.04, 95% CI 1.03 to 1.06; HR 0.90, 95% CI 0.88 to 0.93, p<0.001, respectively). Y-intercept was not prognostic univariately but added independent value in multivariable models (HR 1.08, 95% CI 1.04 to 1.13, p<0.001). Prognosis and clinical profiles improved from group A (VE/VCO2 slope ≥34, n=858) to B (28–34, n=943) to C (<28, n=841). Group A versus C patients had lower LVEF (30% (25%–36%) vs 35% (30%–40%), ptrend<0.001), peakVO₂ (12.7 (10.06–15.3) vs 17.7 (14.6–21.6) mL/kg/min, ptrend<0.001) and higher N-terminal pro-B-type natriuretic peptide (1400 (572–3122) vs 454 (174–1081) pg/mL, ptrend<0.001). Only within group B, a high median Y-intercept (B1≥3.9 L/m) clearly identified patients with higher HF severity and worse survival than B2 (<3.9 L/m, log-rank p<0.001).ConclusionAn increase in the VE/VCO2 slope is associated with a progressive lower survival. Y-intercept enhances risk assessment in HF with intermediate VE/VCO₂ slope values.

Aims In heart failure (HF), anaerobic threshold (AT) may be indeterminable but its value held a relevant prognostic role. AT is evaluated joining three methods: V‐slope, ventilatory equivalent, and end‐tidal methods. The possible non‐concordance between the V‐slope (met AT) and the other two methods (vent AT) has been highlighted in healthy individuals and named double threshold (DT). Methods and results We reanalysed 1075 cardiopulmonary exercise tests of HF patients recruited in the Metabolic Exercise test data combined with Cardiac and Kidney Indexes (MECKI) score database. We identified DT in 43% of cases. Met AT precedes vent AT being met–ventΔVO2 221 (interquartile range: 129–319) mL/min. Peak VO2, 1307 ± 485 vs. 1343 ± 446 mL/min (63 ± 17 vs. 63 ± 17 percentage of predicted), was similar between DT+ and DT− patients. Differently, DT+ showed a lower ventilatory vs. carbon dioxide production (VE/VCO2) slope (29.6 ± 6.1 vs. 31.0 ± 6.3), a lower peak exercise end‐tidal oxygen tension (PetO2) 115.3 (111.5–118.9) vs. 116.4 (112.4–120.2) mmHg, and a higher carbon dioxide tension (PetCO2) 34.2 (30.9–37.1) vs. 32.4 (28.7–35.5) mmHg. Vent AT showed a significant higher VO2, 957 ± 318 vs. 719 ± 252 mL/min, VCO2, 939 ± 319 vs. 627 ± 226 mL/min, ventilation, 31.0 ± 8.3 vs. 22.5 ± 6.3 L/min, respiratory exchange ratio, 0.98 ± 0.08 vs. 0.87 ± 0.07, PetO2, 108 (104–112) vs. 105 (101–109) mmHg, PetCO2, 37 (34–40) vs. 36 (33–39) mmHg, and VE/VO2 ratio, 33.5 ± 6.7 vs. 32.6 ± 6.9, but lower VE/VCO2 ratio, 33 (30–37) vs. 36 (32–41), compared with met AT. At 2 year survival by Kaplan–Meier analysis, even adjusted for confounders, DT resulted not associated with survival. Conclusions Double threshold is frequently observed in HF patients. DT+ is associated to a decreased ventilatory response during exercise.

Cardiopulmonary exercise testing (CPET) parameters are used for heart failure (HF) prognostication. While the ventilation to carbon dioxide production (VE/VCO ) slope ≥34 identifies high risk, patients with intermediate values remain heterogeneous. The VE/VCO Y-intercept, reflecting dead space ventilation at rest and its changes during effort, may refine prognostication. We retrospectively analysed 2642 HF. Follow-up was 26 (9-63) months. The study endpoint was the composite of all-cause death, urgent transplant or left ventricular assist device implantation. Median age was 62 (53-70) years and left ventricular ejection fraction (LVEF) 33% (27%-39%). 27% of patients were New York Heart Association class III-IV. During follow-up, 534 events occurred. Both VE/VCO slope and peakVO were associated with outcome in univariable and multivariable models (HR 1.04, 95% CI 1.03 to 1.06; HR 0.90, 95% CI 0.88 to 0.93, p<0.001, respectively). Y-intercept was not prognostic univariately but added independent value in multivariable models (HR 1.08, 95% CI 1.04 to 1.13, p<0.001). Prognosis and clinical profiles improved from group A (VE/VCO slope ≥34, n=858) to B (28-34, n=943) to C (<28, n=841). Group A versus C patients had lower LVEF (30% (25%-36%) vs 35% (30%-40%), p <0.001), peakVO (12.7 (10.06-15.3) vs 17.7 (14.6-21.6) mL/kg/min, p <0.001) and higher N-terminal pro-B-type natriuretic peptide (1400 (572-3122) vs 454 (174-1081) pg/mL, p <0.001). Only within group B, a high median Y-intercept (B1≥3.9 L/m) clearly identified patients with higher HF severity and worse survival than B2 (<3.9 L/m, log-rank p<0.001). An increase in the VE/VCO slope is associated with a progressive lower survival. Y-intercept enhances risk assessment in HF with intermediate VE/VCO slope values.

We study a contracting model with unforeseen contingencies in which the court is an active player. Ex-ante, the contracting parties cannot include the risky unforeseen contingencies in the contract they draw up. Ex-post the court observes whether an unforeseen contingency occurred, and decides whether to void or uphold the contract. If the contract is voided by the court, the parties can renegotiate a new agreement ex-post. There are two effects of a court that voids more contracts. The parties' incentives to undertake relationship-specific investment are reduced, while the parties enjoy greater insurance against the unforeseen contingencies which the ex-ante contract cannot take into account. In this context, we are able to characterize fully the optimal decision rule for the court. The behavior of the optimal court is determined by the tradeoff between the need for incentives and the gains from insurance that voiding in some circumstances offers to the agents.

We find an economic rationale for the common sense answer to the question in our title --- courts should not always enforce what the contracting parties write. We describe and analyze a contractual environment that allows a role for an active court. An active court can improve on the outcome that the parties would achieve without it. The institutional role of the court is to maximize the parties' welfare under a veil of ignorance. We study a buyer-seller model with asymmetric information and ex-ante investments, in which some contingencies cannot be contracted on. The court must decide when to uphold a contract and when to void it. The parties know their private information at the time of contracting, and this drives a wedge between ex-ante and interim-efficient contracts. In particular, some types pool in equilibrium. By voiding some contracts that the pooling types would like the court to enforce, the court is able to induce them to separate, and hence to improve ex-ante welfare.

PurposeThe management of acetabular bone loss is a challenging problem in revision total hip arthroplasty (rTHA). The aim of this systematic review is to summarize and critically analyze indications, complications, clinical and radiological outcomes of custom-made acetabular components in rTHA.MethodsA systematic review of English literature was performed on Medline. Retrospective or prospective studies with minimum 2 years of follow-up (FU) were included. The PRISMA 2009 flowchart and checklist were considered to edit the review. Rates of intra- or post-operative complications, aseptic loosening (AL), periprosthetic joint infection (PJI), reoperations and re-revisions rates were extrapolated.Results18 articles with a level of evidence of IV were included. Six hundred and thirty-four acetabular custom components (627 patients) with a mean FU of 58.6 ± 29.8 months were analyzed. The studies showed good clinical and functional outcomes. Custom-made acetabular components allowed a stable fixation with 94.0 ± 5.0% survival rate. The estimated rate of re-operations and re-revisions were 19.3 ± 17.3% and 5.2 ± 4.7%, respectively. The incidence of PJI was 4.0 ± 3.9%.ConclusionsThe acetabular custom-made implants represent a reliable solution for pelvic discontinuity and particular cases of bone loss classified as Paprosky Type IIIA-B or type III–IV according to American Academy of Orthopaedic Surgeons system where the feature of the defect cannot be handled with standard implants. This strategy allows to fit the implant to the residual host bone, bypassing the bony deficiency and restoring hip biomechanics. Satisfactory clinical and radiological outcomes at mid-term follow-up are reported in literature.

PurposeDespite the standardization of two-stage knee revision protocols, a high percentage of failures still occurs. Identifying the predictors of failure is necessary to determine appropriate management and counsel for patients with a periprosthetic knee infection. This study aimed to identify risk factors predicting the failure, to describe implant survival, and to report the mid-term clinical outcomes of patients undergoing two-stage revision for periprosthetic knee infection.MethodsData of patients who underwent two-stage knee revision from 2012 to 2016 were analyzed, and 108 patients were included. The mean age was 66.6 ± 9.2 years. The mean follow-up was 52.9 ± 15.6 months. Logistic regression was conducted to identify predictors of treatment failure. Kaplan–Meier curves were generated to assess implant survival. Preoperative functional outcomes were compared to those registered at the final follow-up.ResultsDifficult-to-treat infections (OR = 4.2, 95% CI 1.2–14.5, p = 0.025), the number of previous surgeries (OR = 1.8, 95% CI 1.2–2.6, p = 0.005), and the level of tibial bone defect (OR = 2.3, 95% CI 1.1–4.7, p = 0.027) significantly predicted the failure of two-stage knee revision. Survivorship of implants was significantly lower for patients presenting these risk factors (p < 0.05). Mean Knee Society Score improved from 49.0 ± 12.0 to 80.2 ± 13.6 (p < 0.001). Mean Oxford Knee Score improved from 22.2 ± 4.9 to 36.1 ± 6.0 points (p < 0.001).ConclusionDifficult-to-treat pathogens, the number of previous surgeries, and the level of tibial bone defect were independent risk factors of two-stage knee revision failure. Overall, the two-stage protocol provided a good survival rate and functional outcome.

We obtain a representation formula for solutions to Schrödinger equations with a class of homogeneous, scaling-critical electromagnetic potentials. As a consequence, we prove the sharp L 1 → L ∞ time decay estimate for the 3D-inverse square and the 2D-Aharonov–Bohm potentials.

We prove the sharp L 1 - L ∞ time-decay estimate for the 2 D -Schrödinger equation with a general family of scaling critical electromagnetic potentials.

BackgroundConsidering the increase in overall life expectancy and the rising incidence of hepatocellular carcinoma (HCC), more elderly patients are considered for hepatic resection. Traditionally, major hepatectomy has not been proposed to the elderly due to severe comorbidities. Indeed, only a few case series are reported in the literature. The present study aimed to compare short-term and long-term outcomes between laparoscopic major hepatectomy (LMH) and open major hepatectomy (OMH) in elderly patients with HCC using propensity score matching (PSM).MethodsWe performed a multicentric retrospective study including 184 consecutive cases of HCC major liver resection in patients aged ≥ 70 years in _8 European Hospital Centers. Patients were divided into LMH and OMH groups, and perioperative and long-term outcomes were compared between the 2 groups.ResultsAfter propensity score matching, 122 patients were enrolled, 38 in the LMH group and 84 in the OMH group. Postoperative overall complications were lower in the LMH than in the OMH group (18 vs. 46%, p < 0.001). Hospital stay was shorter in the LMH group than in the OMH group (5 vs. 7 days, p = 0.01). Mortality at 90 days was comparable between the two groups. There were no significant differences between the two groups in terms of overall survival (OS) and disease-free survival (DFS) at 1, 3, and 5 years.ConclusionLMH for HCC is associated with appropriate short-term outcomes in patients aged ≥ 70 years as compared to OMH. LMH is safe and feasible in elderly patients with HCC.