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We use the geometry of the stellahedral toric variety to study matroids. We identify the valuative group of matroids with the cohomology ring of the stellahedral toric variety and show that valuative, homological and numerical equivalence relations for matroids coincide. We establish a new log-concavity result for the Tutte polynomial of a matroid, answering a question of Wagner and Shapiro–Smirnov–Vaintrob on Postnikov–Shapiro algebras, and calculate the Chern–Schwartz–MacPherson classes of matroid Schubert cells. The central construction is the ‘augmented tautological classes of matroids’, modeled after certain toric vector bundles on the stellahedral toric variety.
Postpartum depression (PPD) affects up to one in five mothers and birthing parents, yet as few as 10% access evidence-based treatment. One-day cognitive behavioral therapy (CBT)-based workshops for PPD have the potential to reach large numbers of sufferers and be integrated into stepped models of care.
Methods
This randomized controlled trial of 461 mothers and birthing parents in Ontario, Canada with Edinburgh Postnatal Depression Scale (EPDS) scores ⩾10, age ⩾18 years, and an infant <12 months of age compared the effects of a 1-day CBT-based workshop plus treatment as usual (TAU; i.e. care from any provider(s) they wished) to TAU alone at 12-weeks post-intervention on PPD, anxiety, the mother–infant relationship, offspring behavior, health-related quality of life, and cost-effectiveness. Data were collected via REDCap.
Results
Workshops led to meaningful reductions in EPDS scores (m = 15.77 to 11.22; b = −4.6, p < 0.01) and were associated with three times higher odds of a clinically significant decrease in PPD [odds ratio (OR) 3.00, 95% confidence interval (CI) 1.93–4.67]. Anxiety also decreased and participants had three times the odds of clinically significant improvement (OR 3.20, 95% CI 2.03–5.04). Participants reported improvements in mother–infant bonding, infant-focused rejection and anger, and effortful control in their toddlers. The workshop plus TAU achieved similar quality-adjusted life-years at lower costs than TAU alone.
Conclusions
One-day CBT-based workshops for PPD can lead to improvements in depression, anxiety, and the mother–infant relationship and are cost-saving. This intervention could represent a perinatal-specific option that can treat larger numbers of individuals and be integrated into stepped care approaches at reasonable cost.
This study evaluated the effect of music intervention on the anxiety and stress responses of patients who underwent an interventional cardiac catheterisation.
Methods:
The study design was a pre- and post-test randomised controlled trial that included 94 patients who underwent a transcatheter atrial septal defect closure. Patients were allocated to receive either music intervention (n = 47) or usual care (n = 47) during the interventional cardiac catheterisation. Music intervention effectiveness was examined in terms of anxiety, salivary cortisol level, and heart rate variability.
Results:
The average age of participants was 45.40 years (±16.04) in the experimental group and 47.26 years (±13.83) in the control group. Two-thirds (66.0%) of the participants in each group were women. State anxiety (F = 31.42, p < 0.001), anxiety-numerical rating scale (F = 20.08, p < 0.001), salivary cortisol levels (F = 4.98, p = 0.021), and low-frequency component/high-frequency component ratio (F = 17.31, p < 0.001) in the experimental group were significantly reduced compared with those in the control group at the end of the music intervention.
Conclusion:
This study provides practical evidence of a reduction in anxiety and stress response from music intervention preceding an interventional cardiac catheterisation, indicating that this intervention should be considered in clinical management.
A certain degree of pulmonary stenosis after total correction of tetralogy of Fallot has been considered acceptable. But the long-term outcomes are not well understood. We observed the natural course of immediate pulmonary stenosis and investigated related factors for progression.
Methods:
Fifty-two patients with acceptable pulmonary stenosis immediately after operation were enrolled. Acceptable pulmonary stenosis was defined as peak pressure gradient between 15 and 45 mmHg by Doppler echocardiography. Latent class linear mixed model was used to differentiate patients with progressed pulmonary stenosis, and the factors related to progression were analysed.
Results:
Pulmonary stenosis progressed in 14 patients (27%). Between the progression group and no progression group, there were no significant differences in operative age, sex, and the use of the transannular patch technique. However, immediate gradient was higher in the progression group (32.1 mmHg versus 25.7 mmHg, p = 0.009), and the cut-off value was 26.8 mmHg (sensitivity = 65.3%, specificity = 65.8%). Main stenosis at the sub-valve was observed more frequently in the progression group (85.7% versus 52.6%, p = 0.027). Despite no difference in the preoperative pulmonary valve z value, the last follow-up pulmonary valve z value was significantly lower in the progression group (−1.15 versus 0.35, p = 0.002).
Conclusions:
Pulmonary stenosis immediately after tetralogy of Fallot total correction might progress in patients with immediate pulmonary stenosis higher than ≥26.8 mmHg and the main site was sub-valve area.
We show that the maximum likelihood degree of a smooth very affine variety is equal to the signed topological Euler characteristic. This generalizes Orlik and Terao’s solution to Varchenko’s conjecture on complements of hyperplane arrangements to smooth very affine varieties. For very affine varieties satisfying a genericity condition at infinity, the result is further strengthened to relate the variety of critical points to the Chern–Schwartz–MacPherson class. The strengthened version recovers the geometric deletion–restriction formula of Denham et al. for arrangement complements, and generalizes Kouchnirenko’s theorem on the Newton polytope for nondegenerate hypersurfaces.
To maintain pulmonary valvar function subsequent to repair of tetralogy of Fallot, we have inserted a homograft monocusp when a transjunctional patch was required. In this study, we have evaluated the mid- to long-term outcomes, aiming to determine the durability of the homograft.
Methods
Among 218 repairs performed for tetralogy of Fallot between July, 1996, and June, 2005, we inserted homograft monocusps in 54 patients, 4 of whom had associated absent pulmonary valve syndrome, 3 had pulmonary valvar atresia, and 1 had an atrioventricular septal defect with common atrioventricular junction. The median body weight at surgery was 7.8 kilograms, with a range from 3.9 to 42 kilograms. The function of the monocusp valve was assessed by regular echocardiography, using the Kaplan-Meier method and the Cox regression model for statistical analyses.
Results
There were 2 early deaths (3.7%), associated with respiratory infection. No late deaths were observed during the follow-up, which ranged from 0.3 to 120 months, with a median of 64.3 months. Freedom from valvar dysfunction was 67.2 ± 6.7% at 1 year, 37.1 ± 7.3% at 3 years, 23.8 ± 6.7% at 5 years, and 21.2 ± 6.4% at 7 years. We needed to replace the valve in 1 patient during follow-up. We found that ABO blood group incompatibility, stenosis of the pulmonary arteries, and associated absent pulmonary valve syndrome all adversely affected the function of the monocusp.
Conclusion
Our experiences show that insertion of a homograft monocusp can prevent pulmonary regurgitation in the early period after repair of tetralogy of Fallot, but the effects are limited in duration as degeneration progressed. We still need to determine whether this finding can improve the longer-term function of the right ventricle.
We report a rare case of an isolated critical tricuspid regurgitation due to rupture of a papillary muscle. This patient presented with a cyanosis immediately after birth. Despite mechanical ventilation and medical management to decrease the pulmonary vascular resistance, the low cardiac output persisted, along with the cyanosis. Repair of the tricuspid valve was performed, using an artificial tendinous cord, on the 4th day of life. The short-term result of the surgery is satisfactory, but the patient requires long-term follow-up.
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