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Topological Phases of Matter and Quantum Computation

Paul Bruillard, Carlos Ortiz Marrero and Julia Plavnik, editors. American Mathematical Society, 2020, CONM, volume 747, approx. 240 pp. ISBN: 978-1-4704-4074-9 (print), 978-1-4704-5457-9 (online).

This volume contains the proceedings of the AMS Special Session on Topological Phases of Matter and Quantum Computation, held from September...




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Advances in Harmonic Analysis and Partial Differential Equations

Donatella Danielli and Irina Mitrea, editors. American Mathematical Society, 2020, CONM, volume 748, approx. 210 pp. ISBN: 978-1-4704-4896-7 (print), 978-1-4704-5516-3 (online).

This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Partial Differential Equations, held from April 21–22,...





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Axially symmetric solutions of the Allen-Cahn equation with finite Morse index

Changfeng Gui, Kelei Wang and Jucheng Wei
Trans. Amer. Math. Soc. 373 (2020), 3649-3668.
Abstract, references and article information




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Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions

Jungang Li, Guozhen Lu and Qiaohua Yang
Trans. Amer. Math. Soc. 373 (2020), 3483-3513.
Abstract, references and article information




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Approximation of solutions of the wave equation driven by a stochastic measure

V. M. Radchenko and N. O. Stefans’ka
Theor. Probability and Math. Statist. 99 (2020), 229-238.
Abstract, references and article information




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Modified Euler scheme for the weak approximation of stochastic differential equations driven by the Wiener process

S. V. Bodnarchuk and O. M. Kulyk
Theor. Probability and Math. Statist. 99 (2020), 53-65.
Abstract, references and article information




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Solutions in Lebesgue spaces to nonlinear elliptic equations with subnatural growth terms

A. Seesanea and I. E. Verbitsky
St. Petersburg Math. J. 31 (2020), 557-572.
Abstract, references and article information







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Survey on gradient estimates for nonlinear elliptic equations in various function spaces

S.-S. Byun, D. K. Palagachev and L. G. Softova
St. Petersburg Math. J. 31 (2020), 401-419.
Abstract, references and article information




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Discontinuous critical Fujita exponents for the heat equation with combined nonlinearities

Mohamed Jleli, Bessem Samet and Philippe Souplet
Proc. Amer. Math. Soc. 148 (2020), 2579-2593.
Abstract, references and article information




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Topological Quantum Field Theory for Vampires




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Probleme de Plateau, Equations Fuchsiennes et Probleme de Riemann-Hilbert

Laura Desideri, Universite de Lille 1 - A publication of the Societe Mathematique de France, 2013, 116 pp., Softcover, ISBN-13: 978-2-85629-766-7, List: US$48, All AMS Members: US$38.40, SMFMEM/133

A note to readers: This book is in French. This dissertation is devoted to the resolution of the Plateau problem in the case of a...




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Harmonic Analysis and Partial Differential Equations

Patricio Cifuentes and Jose Garcia-Cuerva, Universidad Autonoma de Madrid, Gustavo Garrigos, Universidad de Murcia, Eugenio Hernandez, Universidad Autonoma de Madrid, Jose Maria Martell, Javier Parcet, and Keith M. Rogers, Consejo Superior de Investigaciones Cientificas, and Alberto Ruiz, Fernando Soria, and Ana Vargas, Universidad Autonoma de Madrid, Editors - AMS, 2014, 178 pp., Softcover, ISBN-13: 978-0-8218-9433-0, List: US$78, All AMS Members: US$62.40, CONM/612

This volume contains the Proceedings of the 9th International Conference on Harmonic Analysis and Partial Differential Equations, held June 11-15,...




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Semiclassical Standing Waves with Clustering Peaks for Nonlinear Schrodinger Equations

Jaeyoung Byeon, KAIST, and Kazunaga Tanaka, Waseda University - AMS, 2013, 89 pp., Softcover, ISBN-13: 978-0-8218-9163-6, List: US$71, All AMS Members: US$56.80, MEMO/229/1076

The authors study the following singularly perturbed problem: (-epsilon^2Delta u+V(x)u = f(u)) in (mathbf{R}^N). Their main result is the...




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Cohomology for Quantum Groups via the Geometry of the Nullcone

Christopher P. Bendel, University of Wisconsin-Stout, Daniel K. Nakano, University of Georgia, Brian J. Parshall, University of Virginia, and Cornelius Pillen, University of South Alabama - AMS, 2013, 93 pp., Softcover, ISBN-13: 978-0-8218-9175-9, List: US$71, All AMS Members: US$56.80, MEMO/229/1077

Let (zeta) be a complex (ell)th root of unity for an odd integer (ell>1). For any complex simple Lie algebra (mathfrak g), let...




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On the Spectra of Quantum Groups

Milen Yakimov, Louisiana State University - AMS, 2013, 91 pp., Softcover, ISBN-13: 978-0-8218-9174-2, List: US$71, All AMS Members: US$56.80, MEMO/229/1078

Joseph and Hodges-Levasseur (in the A case) described the spectra of all quantum function algebras (R_q[G]) on simple algebraic groups in terms of...




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HKSAR Air Quality Health Index at : Sun, 10 May 2020 01:30:00 +0800 Current Condition :

General Stations: 1 to 2 (Health Risk: Low)

Roadside Stations: 2 (Health Risk: Low)




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Quanta hosts a new podcast series on mathematics

"[W]hen the editors at Quanta Magazine invited me to host a podcast for them, I jumped at the chance...Through this podcast, I've been learning about the inner lives of some of the most intriguing mathematicians and scientists working today. [I]n every case, I wanted to know what makes them tick. I wanted to know why they do what they do, what they’ve discovered, and why it matters to them and to the world." Read "Why I'm Hosting The Joy of x Podcast," by Steven Strogatz, Quanta Magazine, January 14, 2020.




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A comprehensive evaluation of a typical plant telomeric G-quadruplex (G4) DNA reveals the dynamics of G4 formation, rearrangement, and unfolding [Plant Biology]

Telomeres are specific nucleoprotein structures that are located at the ends of linear eukaryotic chromosomes and play crucial roles in genomic stability. Telomere DNA consists of simple repeats of a short G-rich sequence: TTAGGG in mammals and TTTAGGG in most plants. In recent years, the mammalian telomeric G-rich repeats have been shown to form G-quadruplex (G4) structures, which are crucial for modulating telomere functions. Surprisingly, even though plant telomeres are essential for plant growth, development, and environmental adaptions, only few reports exist on plant telomeric G4 DNA (pTG4). Here, using bulk and single-molecule assays, including CD spectroscopy, and single-molecule FRET approaches, we comprehensively characterized the structure and dynamics of a typical plant telomeric sequence, d[GGG(TTTAGGG)3]. We found that this sequence can fold into mixed G4s in potassium, including parallel and antiparallel structures. We also directly detected intermediate dynamic transitions, including G-hairpin, parallel G-triplex, and antiparallel G-triplex structures. Moreover, we observed that pTG4 is unfolded by the AtRecQ2 helicase but not by AtRecQ3. The results of our work shed light on our understanding about the existence, topological structures, stability, intermediates, unwinding, and functions of pTG4.




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New round of applications under Quality Enhancement Support Scheme opens




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Appointments to Quality Education Fund Steering Committee




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Award Scheme for Learning Experiences under Qualifications Framework opens for application




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About the cover: The Fine–Petrović Polygons and the Newton–Puiseux Method for Algebraic Ordinary Differential Equations

Vladimir Dragović and Irina Goryuchkina
Bull. Amer. Math. Soc. 57 (2020), 293-299.
Abstract, references and article information




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Quality Over Quantity: In A Financial Crisis, Innovation Is A Survival of the Fittest

Wednesday, May 6, 2020 - 11:45

NEW YORK – Innovation is at an all-time high, but the economic damage from the COVID-19 outbreak has the potential to stifle inventions and patents. But new research shows that financial crises are both destructive and creative forces for innovation.




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Meet the Most Disruptive MBA Startups of 2019 Poets and Quants – 10/28/2019

Monday, October 28, 2019 - 12:15




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Poets&Quants’ Top MBA Startups of 2020

Monday, March 30, 2020 - 11:15




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Hidden symmetry found in chemical kinetic equations

(Rice University) Rice University researchers have discovered a hidden symmetry in the chemical kinetic equations scientists have long used to model and study many of the chemical processes essential for life.




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Gravitational waves could prove the existence of the quark-gluon plasma

(Goethe University Frankfurt) According to modern particle physics, matter produced when neutron stars merge is so dense that it could exist in a state of dissolved elementary particles. This state of matter, called quark-gluon plasma, might produce a specific signature in gravitational waves. Physicists at Goethe University Frankfurt and the Frankfurt Institute for Advanced Studies have now calculated this process using supercomputers.




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'Wobble' may precede some great earthquakes, study shows

(Ohio State University) The land masses of Japan shifted from east to west to east again in the months before the strongest earthquake in the country's recorded history, a 2011 magnitude-9 earthquake that killed more than 15,500 people, new research shows.




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Damon Runyon Cancer Research Foundation awards new quantitative biology fellowships

(Damon Runyon Cancer Research Foundation) The first class of Damon Runyon Quantitative Biology Fellowship Awardees launched their research in novel directions that may lead to the next breakthroughs in cancer research. Nine brilliant young scientists will apply their quantitative skills to design innovative experiments and interpret massive data sets that may help solve important biological and clinical problems.




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Psychosocial Barriers to Diabetes Self-Management and Quality of Life

Russell E. Glasgow
Jan 1, 2001; 14:
Articles




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Quick Earthquake Messages M6.7 [7.0S, 130.0E] in Tanimbar Islands Region, Indonesia (21:54 HKT 06/05/2020)

Earthquake: 2020-05-06 21:54HKT M6.7 [7.0S, 130.0E] in Tanimbar Islands Region, Indonesia http://openstreetmap.org/?mlat=-7&mlon=130.




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How Human Rights Law Is Evolving to Address Inequality

10 December 2018

Chanu Peiris

Programme Manager, International Law Programme
On the 70th anniversary of the Universal Declaration of Human Rights, Chanu Peiris examines how its principles apply to one of today’s burning political issues.

2018-12-10-UDHR.jpg

Copies of the Universal Declaration of Human Rights in a variety of languages. Photo: Getty Images.

There is growing attention to human rights in debates on economic inequality. In the UK, concerns about the disproportionate impact of economic policy on vulnerable groups have been raised recently by the UN special rapporteur on extreme poverty and human rights – who issued a statement criticizing the Conservative government’s austerity policies – as well as in a report from the UK government’s independent Equality and Human Rights Commission. These reports echo global concerns about fiscal policies, poverty and extreme economic inequality.

The Universal Declaration of Human Rights – which celebrates its 70th anniversary today – and the human rights treaties it inspired do not expressly address income and wealth gaps. But international human rights law is playing an increasing role in addressing economic polarization. Those concerned about inequality should consider how, especially over the past 25 years, the principles of socioeconomic rights have been clarified by courts and other human rights mechanisms. 

While the focus in the Global North has historically been on civil and political rights, such as the prohibition on torture or the right to fair trial, international human rights law does set out economic and social rights. For example, Article 23(4) of the Declaration – which is replicated in the International Covenant on Economic, Social and Cultural Rights and other treaties – calls for the right to collective bargaining in employment. Weakening protection in this area has been raised as a partial cause of the current escalation in income inequality. 

Human rights law also guarantees rights, including to education, healthcare and social security, that have redistributive potential and so have the potential to mitigate inequality.

Human rights law recognizes that fulfilment of economic and social rights, unlike civil and political rights, can be limited by the resources available to different states, and this conditionality – along with a lack of guidelines to assist with implementation and monitoring – has historically shielded fiscal policies from human rights scrutiny. However, attitudes have shifted.

For example, international human rights law has come to embody a commitment to tackling substantive inequalities which impair human dignity.  This requires the state regulate markets, and redistribute resources, in order to prevent discrimination against disadvantaged groups such as the poor. 

The UN Committee on Economic, Social and Cultural Rights and other human rights bodies assert that states have an immediate obligation, even during times of resource constraint, to ensure the fulfilment, without discrimination, of the minimum essential levels of socioeconomic rights, for example essential subsistence and basic shelter. Thus, austerity measures that scale back the enjoyment of rights may breach human rights standards. In order to justify such measures, governments need to first demonstrate they have considered ‘less restrictive’ avenues, including taxation options.

Although the application of human rights standards to economic policy is an emerging area, human rights campaigners have been successfully leveraging these protections to address the causes and consequences of the inequality crisis. 

For example, in case No. 66/2011 the European Committee of Social Rights overturned austerity measures that would have brought wages under the poverty level, citing breaches of labour rights and protections against discrimination. In Brazil, a coalition of civil society actors successfully used human rights standards to legitimize their critiques of a 2008 tax reform bill that would have given additional tax breaks to the wealthy while withdrawing resources for social services.

Beyond legal enforcement, framing concerns within the architecture of human rights can shift power to rights-bearers and move debates on tackling extreme inequality from the policy sphere into one where the state has a duty for which it is accountable. While the state bears primary responsibility for realizing human rights, non-state actors such as businesses have responsibilities to respect human rights. Thus, human rights can also help communities to recast the scope of the crisis to one of shared responsibility.

While human rights have seen many normative developments and advocacy successes since the adoption of the Universal Declaration of Human Rights, the last 70 years also offer several lessons and strategies to adopt going forward. 

As highlighted at a recent Chatham House event, the continued emphasis on civil and political rights in the discussion about human rights is at odds with the lived experience of individuals and communities worldwide, who may not feel their economic and material concerns are reflected in campaigns for human rights.

There will need to be a greater emphasis on adapting messaging to be more inclusive and to build alliances between disparate groups. Human rights analysis will also need to move beyond documenting the impact of systemic issues towards tackling root causes and creating a positive vision for economic inclusion and governance.




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Human Rights Priorities: An Agenda for Equality and Social Justice

Members Event

19 November 2019 - 6:00pm to 7:00pm

Chatham House | 10 St James's Square | London | SW1Y 4LE

Event participants

Michelle Bachelet, United Nations High Commissioner for Human Rights

Chair: Ruma Mandal, Head, International Law Programme, Chatham House

Following just over one year in office, UN High Commissioner for Human Rights, Michelle Bachelet, outlines her ongoing priorities at a tumultuous time for fundamental rights protections worldwide.

She discusses the rights implications of climate change, gender inequality including the advancement of sexual and reproductive rights, the protection of vulnerable groups and the need to work closely with states, civil society and business to protect and advance human rights.

Department/project

Members Events Team




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Genetic Profile and Functional Proteomics of Anal Squamous Cell Carcinoma: Proposal for a Molecular Classification

Lucía Trilla-Fuertes
Apr 1, 2020; 19:690-700
Research




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A Quantitative Tri-fluorescent Yeast Two-hybrid System: From Flow Cytometry to In cellula Affinities

David Cluet
Apr 1, 2020; 19:701-715
Technological Innovation and Resources




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Tandem Mass Tag Approach Utilizing Pervanadate BOOST Channels Delivers Deeper Quantitative Characterization of the Tyrosine Phosphoproteome

Xien Yu Chua
Apr 1, 2020; 19:730-743
Technological Innovation and Resources




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Robust summarization and inference in proteome-wide label-free quantification

Adriaan Sticker
Apr 22, 2020; 0:RA119.001624v1-mcp.RA119.001624
Research




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Quantitative proteomics of human heart samples collected in vivo reveal the remodeled protein landscape of dilated left atrium without atrial fibrillation

Nora Linscheid
Apr 14, 2020; 0:RA119.001878v1-mcp.RA119.001878
Research




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Selection of features with consistent profiles improves relative protein quantification in mass spectrometry experiments

Tsung-Heng Tsai
Mar 31, 2020; 0:RA119.001792v1-mcp.RA119.001792
Research




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Quantitative Profiling of the Human Substantia Nigra Proteome from Laser-capture Microdissected FFPE Tissue

Eva Griesser
May 1, 2020; 19:839-851
Research




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MaxQuant software for ion mobility enhanced shotgun proteomics

Nikita Prianichnikov
Mar 10, 2020; 0:TIR119.001720v1-mcp.TIR119.001720
Technological Innovation and Resources




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An Improved Boosting to Amplify Signal with Isobaric Labeling (iBASIL) Strategy for Precise Quantitative Single-cell Proteomics

Chia-Feng Tsai
May 1, 2020; 19:828-838
Research




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A Compact Quadrupole-Orbitrap Mass Spectrometer with FAIMS Interface Improves Proteome Coverage in Short LC Gradients

Dorte B. Bekker-Jensen
Apr 1, 2020; 19:716-729
Technological Innovation and Resources




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Evaluation of dosimetry, quantitative methods and test-retest variability of 18F-PI-2620 PET for the assessment of tau deposits in the human brain

18F-PI-2620 is a next generation tau positron emission tomography (PET)-tracer that has demonstrated ability to image the spatial distribution of suspected tau pathology. The objective of this study was to assess the tracer biodistribution, dosimetry and quantitative methods of 18F-PI-2620 in the human brain. Full kinetic modelling approaches to quantify tau load were investigated. Non-invasive kinetic modeling approaches and semi-quantitative methods were evaluated against the full tracer kinetics. Finally, the reproducibility of PET measurements from test and retest scans was assessed. Methods: Three healthy controls (HC) and 4 Alzheimer disease (AD) subjects underwent two dynamic PET scans including arterial sampling. Distribution volume ratio (DVR) was estimated using full tracer kinetics (2 Tissue Compartment (2TC) models, Logan Graphical Analysis (LGA)) and non-invasive kinetic models (Non-Invasive Logan Graphical Analysis (NI-LGA) and the multilinear reference tissue model (MRTM2)). Standardized uptake value ratio (SUVR) was determined at different imaging windows after injection. Correlation between DVR and SUVR, effect size (Cohen’s d) and test-retest variability (TRV) were evaluated. Additionally, 6 HC subjects received one tracer administration and underwent whole-body PET for dosimetry calculation. Organ doses and the whole-body effective dose were calculated using OLINDA 2.0. Results: Strong correlation was found across different kinetic models (R2 >0.97) and between DVR(2TC) and SUVRs between 30 to 90 min with R2>0.95. Secular equilibrium was reached around 40 min post injection (p.i.) in most regions and subjects. The TRV and effect size for the SUVR across different regions was similar at 30-60 min (TRV=3.8%, d=3.80), 45-75 min (TRV=4.3%, d=3.77) and 60-90 min (TRV=4.9%, d=3.73) and increased at later time points. Elimination was via the hepatobiliary and urinary system. The whole-body effective dose was determined to be 33.3±2.1 μSv/MBq for an adult female and 33.1±1.4 μSv/MBq for an adult male with a 1.5 hour urinary bladder voiding interval. Conclusion: 18F-PI-2620 exhibits fast kinetics, suitable dosimetry and low TRV. DVR measured using the 2TC model with arterial sampling correlated strongly with DVR measured by NI-LGA, MRTM2 and SUVR. SUVR can be used for 18F-PI-2620 PET quantification of tau deposits avoiding arterial blood sampling. Static 18F-PI-2620 PET scans between 45-75min p.i. provide excellent quantification accuracy, large effect size and low TRV.




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Combined Visual and Semi-quantitative Evaluation Improves Outcome Prediction by Early Mid-treatment 18F-fluoro-deoxi-glucose Positron Emission Tomography in Diffuse Large B-cell Lymphoma.

The purpose of this study was to assess the predictive and prognostic value of interim FDG PET (iPET) in evaluating early response to immuno-chemotherapy after two cycles (PET-2) in diffuse large B-cell lymphoma (DLBCL) by applying two different methods of interpretation: the Deauville visual five-point scale (5-PS) and a change in standardised uptake value by semi-quantitative evaluation. Methods: 145 patients with newly diagnosed DLBCL underwent pre-treatment PET (PET-0) and PET-2 assessment. PET-2 was classified according to both the visual 5-PS and percentage SUV changes (SUV). Receiver operating characteristic (ROC) analysis was performed to compare the accuracy of the two methods for predicting progression-free survival (PFS). Survival estimates, based on each method separately and combined, were calculated for iPET-positive (iPET+) and iPET-negative (iPET–) groups and compared. Results: Both with visual and SUV-based evaluations significant differences were found between the PFS of iPET– and iPET+ patient groups (p<0.001). Visually the best negative (NPV) and positive predictive value (PPV) occurred when iPET was defined as positive if Deauville score 4-5 (89% and 59%, respectively). Using the 66% SUV cut-off value, reported previously, NPV and PPV were 80 and 76%, respectively. SUV at 48.9% cut-off point, reported for the first time here, produced 100% specificity along with the highest sensitivity (24%). Visual and semi-quantitative SUV<48.9% assessment of each PET-2 gave the same PET-2 classification (positive or negative) in 70% (102/145) of all patients. This combined classification delivered NPV and PPV of 89% and 100% respectively, and all iPET+ patients failed to achieve or remain in remission. Conclusion: In this large consistently treated and assessed series of DLBCL, iPET had good prognostic value interpreted either visually or semi-quantitatively. We determined that the most effective SUV cut-off was at 48.9%, and that when combined with visual 5-PS assessment, a positive PET-2 was highly predictive of treatment failure.




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Quantitative test-retest measurement of 68Ga-PSMA-HBED-CC (PSMA-11) in tumor and normal tissue

The PET radiotracer 68Ga-PSMA-HBED-CC (68Ga-PSMA-11) shows potential as an imaging biomarker for recurrent and metastatic prostate cancer. The purpose of this study was to determine repeatability of 68Ga-PSMA-HBED-CC in a test-retest trial in subjects with metastatic prostate adenocarcinoma. Methods: Subjects with metastatic prostate cancer underwent two PET/CT scans with 68Ga-PSMA-HBED-CC within 14 days (mean 6 ± 4 d). Lesions in bone, nodes, prostate/bed, and visceral organs as well as representative normal tissues (salivary glands and spleen) were segmented separately by two readers. Absolute and percent differences in SUVmax and SUVmean were calculated for all test-retest regions. Repeatability was assessed using percentage difference, within-subject coefficient of variation (wCV), repeatability coefficient (RC), and Bland-Altman analysis. Results: 18 subjects were evaluated, 16 of which demonstrated local or metastatic disease on 68Ga-PSMA-HBED-CC PET/CT. A total of 136 lesions were segmented in bone (n = 99), nodes (n = 27), prostate/bed (n = 7), and viscera (n = 3). The wCV for SUVmax was 11.7% for bone lesions and 13.7% for nodes. The RC was ±32.5% SUVmax for bone lesions and ±37.9% SUVmax for nodal lesions, meaning 95% of the normal variability between two measurements will be within these numbers, so larger differences are likely attributable to true biological changes in tumor rather than normal physiologic or measurement variability. wCV in the salivary glands and spleen was 8.9% and 10.7% SUVmean, respectively. Conclusion: Repeatability measurements for PET/CT test-retest with 68Ga-PSMA-HBED-CC show a wCV 12-14% SUVmax and RC ±33-38% SUVmax in bone and nodal lesions. These estimates are an important aspect of 68Ga-PSMA-HBED-CC as a quantitative imaging biomarker. These estimates are similar to those reported for 18F-FDG, suggesting that 68Ga-PSMA-HBED-CC PET/CT may be useful in monitoring response to therapy.