140 research outputs found
On asymptotic nonlocal symmetry of nonlinear Schr\"odinger equations
- Author
- Publication venue
- 'Atlantis Press'
- Publication date
- 01/01/1998
- Field of study
A concept of asymptotic symmetry is introduced which is based on a definition
of symmetry as a reducibility property relative to a corresponding invariant
ansatz. It is shown that the nonlocal Lorentz invariance of the free-particle
Schr\"odinger equation, discovered by Fushchych and Segeda in 1977, can be
extended to Galilei-invariant equations for free particles with arbitrary spin
and, with our definition of asymptotic symmetry, to many nonlinear
Schr\"odinger equations. An important class of solutions of the free
Schr\"odinger equation with improved smoothing properties is obtained
Velocity-space sensitivity of the time-of-flight neutron spectrometer at JET
- Author
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- Publication venue
- 'AIP Publishing'
- Publication date
- 01/01/2014
- Field of study
The velocity-space sensitivities of fast-ion diagnostics are often described by so-called weight functions. Recently, we formulated weight functions showing the velocity-space sensitivity of the often dominant beam-target part of neutron energy spectra. These weight functions for neutron emission spectrometry (NES) are independent of the particular NES diagnostic. Here we apply these NES weight functions to the time-of-flight spectrometer TOFOR at JET. By taking the instrumental response function of TOFOR into account, we calculate time-of-flight NES weight functions that enable us to directly determine the velocity-space sensitivity of a given part of a measured time-of-flight spectrum from TOFOR
Relationship of edge localized mode burst times with divertor flux loop signal phase in JET
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- Afanesyev V.
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- Publication venue
- 'AIP Publishing'
- Publication date
- 01/01/2014
- Field of study
A phase relationship is identified between sequential edge localized modes (ELMs) occurrence times in a set of H-mode tokamak plasmas to the voltage measured in full flux azimuthal loops in the divertor region. We focus on plasmas in the Joint European Torus where a steady H-mode is sustained over several seconds, during which ELMs are observed in the Be II emission at the divertor. The ELMs analysed arise from intrinsic ELMing, in that there is no deliberate intent to control the ELMing process by external means. We use ELM timings derived from the Be II signal to perform direct time domain analysis of the full flux loop VLD2 and VLD3 signals, which provide a high cadence global measurement proportional to the voltage induced by changes in poloidal magnetic flux. Specifically, we examine how the time interval between pairs of successive ELMs is linked to the time-evolving phase of the full flux loop signals. Each ELM produces a clear early pulse in the full flux loop signals, whose peak time is used to condition our analysis. The arrival time of the following ELM, relative to this pulse, is found to fall into one of two categories: (i) prompt ELMs, which are directly paced by the initial response seen in the flux loop signals; and (ii) all other ELMs, which occur after the initial response of the full flux loop signals has decayed in amplitude. The times at which ELMs in category (ii) occur, relative to the first ELM of the pair, are clustered at times when the instantaneous phase of the full flux loop signal is close to its value at the time of the first ELM
Safety and efficacy of the ChAdOx1 nCoV-19 vaccine (AZD1222) against SARS-CoV-2: an interim analysis of four randomised controlled trials in Brazil, South Africa, and the UK.
- Author
- Aban Marites
- Abayomi Fatola
- Abeyskera Kushala
- Aboagye Jeremy
- Adam Matthew
- Adams Kirsty
- Adamson James
- Adelaja Yemi A.
- Adlou Syed
- Ahmed Khatija
- Akhalwaya Saajida
- Akhalwaya Yasmeen
- Alcock Andrew
- Aley Parvinder K.
- Ali Aabidah
- Allen Elizabeth R.
- Allen Lauren
- Almeida Thamires C. D. S. C
- Alves Mariana P.S.
- Amorim Fabio
- Andritsou Foteini
- Angus Brian
- Anslow Rachel
- Appleby Matthew
- Arbe-Barnes Edward H.
- Ariaans Mark P.
- Arns Beatriz
- Arruda Laiana
- Awedetan Gbadebo
- Azi Lorena
- Azi Paula
- Babbage Gavin
- Bailey Catherine
- Baillie Vicky L.
- Baker Kenneth F.
- Baker Megan
- Baker Natalie
- Baker Philip
- Baldwin Lisa
- Baleanu Ioana
- Bandeira Danieli
- Bara Anna
- Barbosa Marcella A.S.
- Barker Debbie
- Barlow Gavin D.
- Barnabas Shaun L.
- Barnes Eleanor
- Barr Andrew S.
- Barrett Jessica
- Barrett Jordan R.
- Bates Louise
- Batten Alexander
- Beadon Kirsten
- Beales Emily
- Beckley Rebecca
- Belij-Rammerstorfer Sandra
- Bell Jonathan
- Bellamy Duncan
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- Bewley Kevin R.
- Bexhell Helen
- Bhikha Sutika
- Bhorat Asad E.
- Bhorat Qasim E.
- Bhorat Zaheda E.
- Bibi Sagida
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- Bisnauthsing Karen
- Bittaye Mustapha
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- Blackwell Luke
- Bletchly Heather
- Blundell Caitlin L.
- Blundell Susannah R.
- Bodalia Pritesh
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- Byard Nicholas
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- Camara Susana
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- Carroll Miles W.
- Carson-Stevens Andrew
- Carvalho José A.M.
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- Cerbino-Neto José
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- Chester Oliver
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- Joe Carina C. D.
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- Mugodi Yvonne
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- Mweu Philomena
- Myasaki Celia Hatsuko
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- Naker Kush
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- Presa Fernando B.
- Price David A.
- Price Vivien
- Primeira Marcelo
- Proud Pamela C.
- Provstgaard-Morys Samuel
- Pueschel Sophie
- Pulido David
- Quaid Sheena
- Rabara Ria
- Radford Alexandra
- Radia Kajal
- Rajapaska Durga
- Rajeswaran Thurkka
- Ramasamy Maheshi N.
- Ramos Lopez Fernando
- Ramos Alberto San Francisco
- Rampling Tommy
- Rand Jade
- Ratcliffe Helen
- Rawlinson Tom
- Rea David
- Rees Byron
- Reiné Jesús
- Resuello-Dauti Mila
- Reyes Pabon Emilia
- Rhead Sarah
- Ribiero Carla M.
- Ricamara Marivic
- Richter Alex
- Ritchie Adam J.
- Ritchie Neil
- Robbins Alexander J.
- Roberts Hannah
- Robinson Hannah
- Robinson Ryan E.
- Rocchetti Talita T.
- Rocha Beatriz Pinho
- Roche Sophie
- Rollier Christine
- Rose Louisa
- Ross Russell Amy L.
- Rossouw Lindie
- Royal Simon
- Rudiansyah Indra
- Ruiz Sarah
- Saich Stephen
- Sala Claudia
- Sale Jessica
- Salman Ahmed M.
- Salvador Natalia
- Salvador Stephannie
- Sampaio Milla
- Samson Annette D.
- Sanchez-Gonzalez Amada
- Sanders Helen
- Sanders Katherine
- Santos Guerra Mayara F.S.
- Santos Erika
- Satti Iman
- Saunders Caroline
- Saunders Jack E.
- Sayed Aakifah
- Schim van der Loeff Ina
- Schmid Annina B.
- Schofield Ella
- Schwarzbold Alexandre V.
- Screaton Gavin
- Seddiqi Samiullah
- Segireddy Rameswara R.
- Senger Roberta
- Serrano Sonia
- Shah Rajiv
- Shaik Imam
- Sharpe Hannah E.
- Sharrocks Katherine
- Shaw Robert
- Shea Adam
- Shepherd Amy
- Shepherd James G.
- Shiham Farah
- Sidhom Emad
- Silk Sarah E.
- Silva-Junior Gilberto
- Silva-Reyes Laura
- Silveira Anderson D.
- Silveira Mariana B.V.
- Singh Nisha
- Sinha Jaisi
- Skelly Donal T.
- Smith Andrew
- Smith Catherine C.
- Smith Daniel C.
- Smith David J.
- Smith Holly E.
- Smith Nick
- Snape Matthew D.
- Soares Airanuédida
- Soares Tiago
- Solórzano Carla
- Song Rinn
- Sorio Guilherme L.
- Sorley Kim
- Sosa-Rodriguez Tiffany
- Souza Alessandra R.
- Souza Bruno S.D.F.
- Souza Cinthia M.C.D.L.
- Spencer Alexandra J.
- Spina Fernanda
- Spoors Louise
- Sprinz Eduardo
- Stafford Lizzie
- Stamford Imogen
- Starinskij Igor
- Stein Ricardo
- Steven Jill
- Stockdale Lisa
- Stockwell Lisa V.
- Strickland Louise H.
- Stuart Arabella C.
- Sturdy Ann
- Sutherland Rebecca K.
- Sutton Natalina
- Szigeti Anna
- Tahiri-Alaoui Abdessamad
- Tanner Rachel
- Taoushanis Carol
- Tarr Alexander W.
- Tarrant Richard
- Taylor Iona Jennifer
- Taylor Justin
- Taylor Keja
- Taylor Ursula
- te Water Naude Rebecca
- Themistocleous Andreas
- Themistocleous Yrene
- Thomas Kelly
- Thomas Merin
- Thomas Tonia M.
- Thombrayil Asha
- Thompson Amber
- Thompson Ameeka
- Thompson Fawziyah
- Thompson Kevin
- Thomson Emma C.
- Thomson Julia
- Thornton-Jones Viv
- Tighe Patrick J.
- Tinoco Lygia Accioly
- Tiongson Gerlynn
- Tladinyane Bonolo
- Tomasicchio Michele
- Tomic Adriana
- Tonks Susan
- Toshner Mark
- Tran Nguyen
- Tree Julia
- Trillana Gerry
- Trinham Charlotte
- Trivett Rose
- Truby Adam
- Tsheko Betty Lebogang
- Turabi Aadil
- Turner Cheryl
- Turner David P. J.
- Turner Richard
- Török M Estée
- Ulaszewska Marta
- Underwood Benjamin R.
- van Eck Samual
- Varughese Rachel
- Vekemans Johan
- Verbart Dennis
- Verheul Marije
- Vichos Iason
- Vieira Taiane
- Villafana Tonya L.
- Voysey Merryn
- Waddington Claire S.
- Walker Laura
- Wallis Erica
- Wand Matthew
- Warbick Deborah
- Wardell Theresa
- Warimwe George
- Warren Sarah C.
- Watkins Bridget
- Watson Ekaterina
- Watson Marion E. E.
- Webb Stewart
- Webb-Bridges Alice
- Webster Angela
- Weckx Lily Y.
- Welch Jessica
- Wells Jeanette
- West Alison
- White Caroline
- White Rachel
- Williams Christopher J.
- Williams Paul
- Williams Rachel L.
- Winslow Rebecca
- Woodyer Mark
- Worth Andrew T.
- Wright Danny
- Wroblewska Marzena
- Yao Andy
- Zimmer Rafael
- Zizi Dalila
- Zuidewind Peter
- Publication venue
- 'Elsevier BV'
- Publication date
- 03/12/2020
- Field of study
BACKGROUND: A safe and efficacious vaccine against severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), if deployed with high coverage, could contribute to the control of the COVID-19 pandemic. We evaluated the safety and efficacy of the ChAdOx1 nCoV-19 vaccine in a pooled interim analysis of four trials. METHODS: This analysis includes data from four ongoing blinded, randomised, controlled trials done across the UK, Brazil, and South Africa. Participants aged 18 years and older were randomly assigned (1:1) to ChAdOx1 nCoV-19 vaccine or control (meningococcal group A, C, W, and Y conjugate vaccine or saline). Participants in the ChAdOx1 nCoV-19 group received two doses containing 5 × 1010 viral particles (standard dose; SD/SD cohort); a subset in the UK trial received a half dose as their first dose (low dose) and a standard dose as their second dose (LD/SD cohort). The primary efficacy analysis included symptomatic COVID-19 in seronegative participants with a nucleic acid amplification test-positive swab more than 14 days after a second dose of vaccine. Participants were analysed according to treatment received, with data cutoff on Nov 4, 2020. Vaccine efficacy was calculated as 1 - relative risk derived from a robust Poisson regression model adjusted for age. Studies are registered at ISRCTN89951424 and ClinicalTrials.gov, NCT04324606, NCT04400838, and NCT04444674. FINDINGS: Between April 23 and Nov 4, 2020, 23 848 participants were enrolled and 11 636 participants (7548 in the UK, 4088 in Brazil) were included in the interim primary efficacy analysis. In participants who received two standard doses, vaccine efficacy was 62·1% (95% CI 41·0-75·7; 27 [0·6%] of 4440 in the ChAdOx1 nCoV-19 group vs71 [1·6%] of 4455 in the control group) and in participants who received a low dose followed by a standard dose, efficacy was 90·0% (67·4-97·0; three [0·2%] of 1367 vs 30 [2·2%] of 1374; pinteraction=0·010). Overall vaccine efficacy across both groups was 70·4% (95·8% CI 54·8-80·6; 30 [0·5%] of 5807 vs 101 [1·7%] of 5829). From 21 days after the first dose, there were ten cases hospitalised for COVID-19, all in the control arm; two were classified as severe COVID-19, including one death. There were 74 341 person-months of safety follow-up (median 3·4 months, IQR 1·3-4·8): 175 severe adverse events occurred in 168 participants, 84 events in the ChAdOx1 nCoV-19 group and 91 in the control group. Three events were classified as possibly related to a vaccine: one in the ChAdOx1 nCoV-19 group, one in the control group, and one in a participant who remains masked to group allocation. INTERPRETATION: ChAdOx1 nCoV-19 has an acceptable safety profile and has been found to be efficacious against symptomatic COVID-19 in this interim analysis of ongoing clinical trials. FUNDING: UK Research and Innovation, National Institutes for Health Research (NIHR), Coalition for Epidemic Preparedness Innovations, Bill & Melinda Gates Foundation, Lemann Foundation, Rede D'Or, Brava and Telles Foundation, NIHR Oxford Biomedical Research Centre, Thames Valley and South Midland's NIHR Clinical Research Network, and AstraZeneca
Safety and efficacy of the ChAdOx1 nCoV-19 vaccine (AZD1222) against SARS-CoV-2: an interim analysis of four randomised controlled trials in Brazil, South Africa, and the UK
- Author
- Aban Marites
- Abayomi Fatola
- Abeyskera Kushala
- Aboagye Jeremy
- Adam Matthew
- Adams Kirsty
- Adamson James
- Adelaja Yemi A.
- Adlou Syed
- Ahmed Khatija
- Akhalwaya Saajida
- Akhalwaya Yasmeen
- Alcock Andrew
- Aley Parvinder K.
- Ali Aabidah
- Allen Elizabeth R.
- Allen Lauren
- Almeida Thamires C. D. S. C
- Alves Mariana P.S.
- Amorim Fabio
- Andritsou Foteini
- Angus Brian
- Anslow Rachel
- Appleby Matthew
- Arbe-Barnes Edward H.
- Ariaans Mark P.
- Arns Beatriz
- Arruda Laiana
- Awedetan Gbadebo
- Azi Lorena
- Azi Paula
- Babbage Gavin
- Bailey Catherine
- Baillie Vicky L.
- Baker Kenneth F.
- Baker Megan
- Baker Natalie
- Baker Philip
- Baldwin Lisa
- Baleanu Ioana
- Bandeira Danieli
- Bara Anna
- Barbosa Marcella A.S.
- Barker Debbie
- Barlow Gavin D.
- Barnabas Shaun L.
- Barnes Eleanor
- Barr Andrew S.
- Barrett Jessica
- Barrett Jordan R.
- Bates Louise
- Batten Alexander
- Beadon Kirsten
- Beales Emily
- Beckley Rebecca
- Belij-Rammerstorfer Sandra
- Bell Jonathan
- Bellamy Duncan
- Bellei Nancy
- Belton Sue
- Berg Adam
- Bermejo Laura
- Berrie Eleanor
- Berry Lisa
- Berzenyi Daniella
- Beveridge Amy
- Bewley Kevin R.
- Bexhell Helen
- Bhikha Sutika
- Bhorat Asad E.
- Bhorat Qasim E.
- Bhorat Zaheda E.
- Bibi Sagida
- Bijker Else
- Birch Geeta
- Birch Sarah
- Bird Adam
- Bird Olivia
- Bisnauthsing Karen
- Bittaye Mustapha
- Blackstone Katherine
- Blackwell Luke
- Bletchly Heather
- Blundell Caitlin L.
- Blundell Susannah R.
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- Briner Carmen
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- Brown Phillip
- Brown-O'Sullivan Charlie
- Bruce Scott
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- Buchan Ruaridh
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- Bulbulia Yusuf A.
- Bull Melanie
- Burbage Jamie
- Burhan Hassan
- Burn Aileen
- Buttigieg Karen R.
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- Calderon Gloria
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- Camara Susana
- Cao Michelangelo
- Cappuccini Federica
- Cardoso João R.
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- Carroll Miles W.
- Carson-Stevens Andrew
- Carvalho José A.M.
- Carvalho Yasmin de M.
- Casey Helen R.
- Cashen Paul
- Castro Lucia Carratala
- Castro Thais
- Cathie Katrina
- Cavey Ana
- Cerbino-Neto José
- Chadwick Jim
- Chapman David
- Charlton Sue
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- Chester Oliver
- Chita Sunder
- Cho Jee-Sun
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- Cifuentes Liliana
- Clark Elizabeth
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- Collins Andrea M.
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- Conlon Christopher P.
- Connarty Sean
- Coombes Naomi
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- Cornelissen Lynne
- Corrah Tumena
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- Crocker Wendy E.M.
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- Farmer Eoghan
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- Harris Clair
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- Ikram Sabina
- Ishwarbhai Alka
- Ivan Monica
- Iveson Poppy
- Iyer Vidyashankara
- Izu Alane
- Jackson Frederic
- Jackson Susan
- Jaumdally Shameem
- Jeffers Helen
- Jenkin Daniel
- Jesudason Natasha
- Joe Carina C. D.
- Jones Bryony
- Jones Christopher
- Jones Elizabeth
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- Jorge Marianna Rocha
- Jose Aylin
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- Mazur Olga
- Mazzella Andrea
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- McEwan Joanne
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- McInroy Lorna
- McIntyre Zoe
- McLenaghan Daniela
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- Moran Marni
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- Morris Sheila
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- Mpelembue Mushiya
- Msomi Sibekezelo
- Mugodi Yvonne
- Mujadidi Yama F.
- Mukhopadhyay Ekta
- Muller Jilly
- Munro Alasdair
- Munro Claire
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- Mweu Philomena
- Myasaki Celia Hatsuko
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- Naker Kush
- Nana Anusha
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- Tarrant Richard
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- Themistocleous Andreas
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- Török M Estée
- Ulaszewska Marta
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- Verbart Dennis
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- Voysey Merryn
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- Warren Sarah C.
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- Williams Christopher J.
- Williams Paul
- Williams Rachel L.
- Winslow Rebecca
- Woodyer Mark
- Worth Andrew T.
- Wright Danny
- Wroblewska Marzena
- Yao Andy
- Zimmer Rafael
- Zizi Dalila
- Zuidewind Peter
- Publication venue
- 'Elsevier BV'
- Publication date
- 09/01/2021
- Field of study
Background
A safe and efficacious vaccine against severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), if deployed with high coverage, could contribute to the control of the COVID-19 pandemic. We evaluated the safety and efficacy of the ChAdOx1 nCoV-19 vaccine in a pooled interim analysis of four trials.
Methods
This analysis includes data from four ongoing blinded, randomised, controlled trials done across the UK, Brazil, and South Africa. Participants aged 18 years and older were randomly assigned (1:1) to ChAdOx1 nCoV-19 vaccine or control (meningococcal group A, C, W, and Y conjugate vaccine or saline). Participants in the ChAdOx1 nCoV-19 group received two doses containing 5 × 1010 viral particles (standard dose; SD/SD cohort); a subset in the UK trial received a half dose as their first dose (low dose) and a standard dose as their second dose (LD/SD cohort). The primary efficacy analysis included symptomatic COVID-19 in seronegative participants with a nucleic acid amplification test-positive swab more than 14 days after a second dose of vaccine. Participants were analysed according to treatment received, with data cutoff on Nov 4, 2020. Vaccine efficacy was calculated as 1 - relative risk derived from a robust Poisson regression model adjusted for age. Studies are registered at ISRCTN89951424 and ClinicalTrials.gov, NCT04324606, NCT04400838, and NCT04444674.
Findings
Between April 23 and Nov 4, 2020, 23 848 participants were enrolled and 11 636 participants (7548 in the UK, 4088 in Brazil) were included in the interim primary efficacy analysis. In participants who received two standard doses, vaccine efficacy was 62·1% (95% CI 41·0–75·7; 27 [0·6%] of 4440 in the ChAdOx1 nCoV-19 group vs71 [1·6%] of 4455 in the control group) and in participants who received a low dose followed by a standard dose, efficacy was 90·0% (67·4–97·0; three [0·2%] of 1367 vs 30 [2·2%] of 1374; pinteraction=0·010). Overall vaccine efficacy across both groups was 70·4% (95·8% CI 54·8–80·6; 30 [0·5%] of 5807 vs 101 [1·7%] of 5829). From 21 days after the first dose, there were ten cases hospitalised for COVID-19, all in the control arm; two were classified as severe COVID-19, including one death. There were 74 341 person-months of safety follow-up (median 3·4 months, IQR 1·3–4·8): 175 severe adverse events occurred in 168 participants, 84 events in the ChAdOx1 nCoV-19 group and 91 in the control group. Three events were classified as possibly related to a vaccine: one in the ChAdOx1 nCoV-19 group, one in the control group, and one in a participant who remains masked to group allocation.
Interpretation
ChAdOx1 nCoV-19 has an acceptable safety profile and has been found to be efficacious against symptomatic COVID-19 in this interim analysis of ongoing clinical trials
Reducing the environmental impact of surgery on a global scale: systematic review and co-prioritization with healthcare workers in 132 countries
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- Çakıcı MÇ
- Çelik E.
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- Šantak G.
- Šimko K.
- Žatecký J.
- Publication venue
- Oxford University Press (OUP)
- Publication date
- 01/07/2023
- Field of study
Background
Healthcare cannot achieve net-zero carbon without addressing operating theatres. The aim of this study was to prioritize feasible interventions to reduce the environmental impact of operating theatres.
Methods
This study adopted a four-phase Delphi consensus co-prioritization methodology. In phase 1, a systematic review of published interventions and global consultation of perioperative healthcare professionals were used to longlist interventions. In phase 2, iterative thematic analysis consolidated comparable interventions into a shortlist. In phase 3, the shortlist was co-prioritized based on patient and clinician views on acceptability, feasibility, and safety. In phase 4, ranked lists of interventions were presented by their relevance to high-income countries and low–middle-income countries.
Results
In phase 1, 43 interventions were identified, which had low uptake in practice according to 3042 professionals globally. In phase 2, a shortlist of 15 intervention domains was generated. In phase 3, interventions were deemed acceptable for more than 90 per cent of patients except for reducing general anaesthesia (84 per cent) and re-sterilization of ‘single-use’ consumables (86 per cent). In phase 4, the top three shortlisted interventions for high-income countries were: introducing recycling; reducing use of anaesthetic gases; and appropriate clinical waste processing. In phase 4, the top three shortlisted interventions for low–middle-income countries were: introducing reusable surgical devices; reducing use of consumables; and reducing the use of general anaesthesia.
Conclusion
This is a step toward environmentally sustainable operating environments with actionable interventions applicable to both high– and low–middle–income countries
Priestly Instruction in Pre-Exilic Israel1)
- Author
- Publication venue
- 'Brill'
- Publication date
- 01/01/1973
- Field of study
An unusual case of exclusive liver metastases from adenoid cystic carcinoma of the submandibular gland: A role for surgery? Report of a case
- Author
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- Field of study
Invariantization of numerical schemes using moving frames
- Author
- A. Iserles
- A. Iserles
- A. Marciniak
- A.R. Walton
- B. Leimkuhler
- B.A. Shadwick
- C. Anteneodo
- C.D. Bailey
- C.F. Gerald
- C.J. Budd
- C.J. Budd
- D. Levi
- D. Lewis
- D. Lewis
- E. Forest
- F. Casas
- J. Candy
- J. Laskar
- J. Moser
- J. Wisdom
- J.C. Simo
- J.C. Simo
- J.E. Marsden
- K. Burrage
- K. Feng
- L.O. Jay
- M. Baruch
- M. Boutin
- M. Fels
- M.J. Ablowitz
- P. Kim
- P.E. Hydon
- P.J. Channell
- P.J. Olver
- P.J. Olver
- P.J. Olver
- P.L. Bazin
- Pilwon Kim
- R. McLachlan
- R.A. Labudde
- R.A. Serway
- R.I. McLachlan
- V.A. Dorodnitsyn
- V.A. Dorodnitsyn
- Z. Jia
- Publication venue
- 'Springer Science and Business Media LLC'
- Publication date
- 14/11/2014
- Field of study
This paper deals with a geometric technique to construct numerical schemes for differential equations that inherit Lie symmetries. The moving frame method enables one to adjust existing numerical schemes in a geometric manner and systematically construct proper invariant versions of them. Invariantization works as an adaptive transformation on numerical solutions, improving their accuracy greatly. Error reduction in the Runge-Kutta method by invariantization is studied through several applications including a harmonic oscillator and a Hamiltonian system.close111
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