Venous leg ulcers affect up to 1% of people at some time in their lives and are often painful. The main treatments are compression bandages and dressings. Topical treatments to reduce pain during and between dressing changes are sometimes used

Briggs, M

Nelson, EA

Martyn-St James, M

Probability Theory and Related Fields

English

We consider N × N Hermitian random matrices H consisting of blocks of size M ≥ N6/7. The matrix elements are i.i.d. within the blocks, close to a Gaussian in the four moment matching sense, but their distribution varies from block to block to form a block-band structure, with an essential band width M. We show that the entries of the Green’s function G(z) = (H −z)−1 satisfy the local semicircle law with spectral parameter z = E + iη down to the real axis for any η >> N−1, using a combination of the supersymmetry method inspired by Shcherbina (J Stat Phys 155(3): 466–499, 2014) and the Green’s function comparison strategy. Previous estimates were valid only for η >> M−1. The new estimate also implies that the eigenvectors in the middle of the spectrum are fully delocalized

Bao, Zhigang

Erdős, László

Hong Kong University of Science and Technology Institutional Repository

Delocalization for a class of random block band matrices

Agrifoglio

Domanin

Gottrup

Gottrupp

Hansson

Holm

Paul

Romanelli

Rosenthal

Allen

Alvarez

Armstrong

Arnold

Back

Barghorn

Brandrup

Carneiro

Culyer

Enander Malmros

Falabella

Foster

Freidman

Harcup

Harvey

Holloway

Holst

Hughes

Jorgensen B. Friis GJ. Gottrup

Klemp

Larsen

Larsson-Stymne

Laudanska

Lycka

MacGregor

Mulligan

Nowak

Ohlsen

Ohlsson

Oluwatosin

Peschen

Shun

Skog

Smith JM Dore CJ Charlett

Stacey

Twillman

Wanger

Bruckner

Domenech

Durante

Maggio

Jorgensen

Meaume

Sibbald

Vernassiere

Abbott

Blanke

Bradley

Briggs

Callam

Chase

Coutts

Dahl

Deeks

Douglas

Dworkin

Ebbeskog

Eriksson

Flock

Franks

Gibson

Graham

Hamer

Hermans

Hofman

Hyde

Hyland

Kannon

Lindholm

McQuay

Moffat

Nelzen

Noonan

O'Brien

Pedersen

Phillips

Ribeiro

Seeley

Steed

Stein

Thomas

Turk

Vanscheidt

Verhagen

Crossref

Topical agents or dressings for pain in venous leg ulcers

Zhigang Bao

László Erdős

Springer - Publisher Connector

BACKGROUND: Venous leg ulcers affect up to 1 per cent of people at some time in their lives. The main treatments are compression bandages and dressings. As these ulcers are often painful some clinicians choose particular dressings and topical treatments (analgesia/ local anaesthetic) to reduce the pain both during and between dressing changes.OBJECTIVES:To assess the effectiveness of dressings, local anaesthetics or topical analgesia for pain relief in venous leg ulceration.SEARCH STRATEGY:For this update the search strings were revised and the following databases were searched: The Cochrane Wounds Group Specialised Register (Searched 16/12/09) The Cochrane Central Register of Controlled Trials (CENTRAL) - The Cochrane Library Issue 4 2009; Ovid MEDLINE - 1950 to November Week 3 2009; Ovid EMBASE - 1980 to 2009 Week 50; EBSCO CINAHL - 1982 to December 16 2009. No date or language restrictions were applied.SELECTION CRITERIA:Randomised controlled trials which evaluated local interventions used to relieve venous leg ulcer pain were considered. Pain was defined as either persistent pain or pain at dressing changes or debridement. Ulcer healing and reported adverse events were also considered as further outcomes.DATA COLLECTION AND ANALYSIS: Eligibility for inclusion was confirmed by two review authors who independently assessed the potential trials.MAIN RESULTS: Two trials evaluating interventions for persistent venous leg ulcer pain were identified for this review update. Both studies evaluated ibuprofen slow release foam dressings; one comparing it with local best practice and the other with an identical foam comparator. The primary end point for both studies was "pain relief achieved". When compared with a foam dressing alone, there was no evidence of a statistically significant effect of the ibuprofen foam dressing in terms of achieving some pain relief the first evening after treatment: 74% in the ibuprofen group (46/62) had pain relief compared with 58% (35/60) in the foam group (no significant difference: RR 1.27, 95%CI 0.98 to 1.65). In the second study 100% (32/32) of people with venous ulcers achieved some pain relief with the ibuprofen dressing on the first evening of treatment compared with 93% (26/28) in the local best practice group (no significant difference: RR 1.08, 95% CI 0.96 to 1.21). Pooling these studies in a meta-analysis (using a random effects model as significant heterogeneity present (p=0.1), I(2) = 64%) there is no evidence that ibuprofen dressings increase the pain relief experienced by the first evening of use (RR 1.15, 95% CI 0.91 to 1.44). We were not able to extract sufficient data to combine other pain outcomes from these trials. There was no difference in healing rates but slightly more adverse events with ibuprofen dressings than with a similar foam dressing without ibuprofen.Six trials evaluated interventions for the pain associated with debridement and were considered sufficiently similar to pool. There was a statistically significant reduction in debridement pain scores with 5% Eutectic Mixture of Local Anaesthetics (EMLA): lidocaine-prilocaine cream; the difference in means (measured on a 100 mm scale) was 20.6 mm (95% CI 12.19 to 29.11). Of these six trials, only one small trial measured healing as an outcome and found no difference in the numbers of ulcers healed at the end of the study.AUTHORS' CONCLUSIONS: There is no evidence that ibuprofen dressings offer pain relief, as measured at the first evening of use, to people with painful venous leg ulcers compared with foam dressings or best practice.EMLA appears to provide effective pain relief for venous leg ulcer debridement but the effect (if any) of EMLA on ulcer healing remains unknown

The University of Manchester - Institutional Repository

Topical agents or dressings for pain in venous leg ulcers.

Leeds Beckett Repository

We consider N×N Hermitian random matrices H consisting of blocks of size M≥N6/7. The matrix elements are i.i.d. within the blocks, close to a Gaussian in the four moment matching sense, but their distribution varies from block to block to form a block-band structure, with an essential band width M. We show that the entries of the Green’s function G(z)=(H−z)−1 satisfy the local semicircle law with spectral parameter z=E+iη down to the real axis for any η≫N−1, using a combination of the supersymmetry method inspired by Shcherbina (J Stat Phys 155(3): 466–499, 2014) and the Green’s function comparison strategy. Previous estimates were valid only for η≫M−1. The new estimate also implies that the eigenvectors in the middle of the spectrum are fully delocalized

Erdös, László

IST Austria: PubRep (Institute of Science and Technology)

Bao, Zhigang 

Erdös, László 

http://www.scopus.com/record/display.url?eid=2-s2.0-84955242952&origin=inward

Topical agents or dressings for pain in venous leg ulcers.

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Hong Kong University of Science and Technology Institutional Repository

Crossref

Springer - Publisher Connector

Crossref

The University of Manchester - Institutional Repository

Leeds Beckett Repository

IST Austria: PubRep (Institute of Science and Technology)

IST Austria: PubRep (Institute of Science and Technology)