The sharp phase transition for level set percolation of smooth planar Gaussian fields

Version accepted for publication. 36 pages, 3 figuresWe prove that the connectivity of the level sets of a wide class of smooth centred planar Gaussian fields exhibits a phase transition at the zero level that is analogous to the phase transition in Bernoulli percolation. In addition to symmetry, positivity and regularity conditions, we assume only that correlations decay polynomially with exponent larger than two -- roughly equivalent to the integrability of the covariance kernel -- whereas previously the phase transition was only known in the case of the Bargmann-Fock covariance kernel which decays super-exponentially. We also prove that the phase transition is sharp, demonstrating, without any further assumption on the decay of correlations, that in the sub-critical regime crossing probabilities decay exponentially. Key to our methods is the white-noise representation of a Gaussian field; we use this on the one hand to prove new quasi-independence results, inspired by the notion of influence from Boolean functions, and on the other hand to establish sharp thresholds via the OSSS inequality for i.i.d. random variables, following the recent approach of Duminil-Copin, Raoufi and Tassion

Vital capacity evolution in patients treated with the CMCR brace: statistical analysis of 90 scoliotic patients treated with the CMCR brace

<p>Summary</p> <p>Objective</p> <p>To study the evolution of pulmonary capacity during orthopaedic treatment of scoliosis with the CMCR brace.</p> <p>Background</p> <p>Investigating the impact of moderate scoliosis on respiratory capacity and its evolution during CMCR brace treatment with mobile pads.</p> <p>Context</p> <p>Several studies demonstrate the impact of scoliosis on respiratory capacity but few of them focus on the impact of bracing treatment. We studied the evolution of the pulmonary capacity of a cohort of 90 scoliotic patients.</p> <p>Methods</p> <p>This retrospective study included 90 scoliotic patients treated since 1999 with a brace with mobile pads called CMCR (n = 90; mean age: 13 years; 10-16). These patients were diagnosed with an idiopathic scoliosis (mean angulation 20.6°). All patients underwent a radiographic and respiratory evaluation at the beginning, the middle and the end of treatment.</p> <p>Results</p> <p><it>Mean age at treatment start was </it>13. Before treatment, our patients did not have a normal pulmonary capacity: Forced Vital Capacity (FVC) was only 75% of the theoretical value. All curvature types (thoracic, thoraco-lumbar and combined scoliosis) involved this reduced pulmonary capacity, with moderate-angulated scoliosis having a negative impact. At the beginning of brace treatment, the loss of real vital capacity with brace (0.3 litres) was 10% lower than without brace.</p> <p>At CMCR removal, the FVC had increased by 0.4 litre (21% +/- 4.2% compared to the initial value). The theoretical value had increased by 3%. This positive evolution was most important in girls at a low Risser stage (0,1,2), and before 11 years of age.</p> <p>Conclusion</p> <p>These results supported our approach of orthesis conception for adolescent idiopathic scoliosis which uses braces with mobile pads to preserve thorax and spine mobility.</p

Flemish network on rare connective tissue diseases (CTD): patient pathways in systemic sclerosis. First steps taken.

peer reviewedDespite the low prevalence of each rare disease, the total burden is high. Patients with rare diseases encounter numerous barriers, including delayed diagnosis and limited access to high-quality treatments. In order to tackle these challenges, the European Commission launched the European Reference Networks (ERNs), cross-border networks of healthcare providers and patients representatives. In parallel, the aims and structure of these ERNs were translated at the federal and regional levels, resulting in the creation of the Flemish Network of Rare Diseases. In line with the mission of the ERNs and to ensure equal access to care, we describe as first patient pathways for systemic sclerosis (SSc), as a pilot model for other rare connective and musculoskeletal diseases. Consensus was reached on following key messages: 1. Patients with SSc should have multidisciplinary clinical and investigational evaluations in a tertiary reference expert centre at baseline, and subsequently every three to 5 years. Intermediately, a yearly clinical evaluation should be provided in the reference centre, whilst SSc technical evaluations are permissionably executed in a centre that follows SSc-specific clinical practice guidelines. In between, monitoring can take place in secondary care units, under the condition that qualitative examinations and care including interactive multidisciplinary consultations can be provided. 2. Patients with early diffuse cutaneous SSc, (progressive) interstitial lung disease and/or pulmonary arterial hypertension should undergo regular evaluations in specialised tertiary care reference institutions. 3. Monitoring of patients with progressive interstitial lung disease and/or pulmonary (arterial) hypertension will be done in agreement with experts of ERN LUNG

Hadju-Cheney syndrome

A

Non-Hodgkin's lymphoma presenting with spinal involvement

A