Functional relations for elliptic polylogarithms

Numerous examples of functional relations for multiple polylogarithms are known. For elliptic polylogarithms, however, tools for the exploration of functional relations are available, but only very few relations are identified. Starting from an approach of Zagier and Gangl, which in turn is based on considerations about an elliptic version of the Bloch group, we explore functional relations between elliptic polylogarithms and link them to the relations which can be derived using the elliptic symbol formalism. The elliptic symbol formalism in turn allows for an alternative proof of the validity of the elliptic Bloch relation. While the five-term identity is the prime example of a functional identity for multiple polylogarithms and implies many dilogarithm identities, the situation in the elliptic setup is more involved: there is no simple elliptic analogue, but rather a whole class of elliptic identities

Amplitude recursions with an extra marked point

The recursive calculation of Selberg integrals by Aomoto and Terasoma using the Knizhnik-Zamolodchikov equation and the Drinfeld associator makes use of an auxiliary point and facilitates the recursive evaluation of string amplitudes at genus zero: open-string N-point amplitudes can be obtained from those at N-1 points. We establish a similar formalism at genus one, which allows the recursive calculation of genus-one Selberg integrals using an extra marked point in a differential equation of Knizhnik-Zamolodchikov-Bernard type. Hereby genus-one Selberg integrals are related to genus-zero Selberg integrals. Accordingly, N-point open-string amplitudes at genus one can be obtained from (N+2)-point open-string amplitudes at tree level. The construction is related to and in accordance with various recent results in intersection theory and string theory

Effect of the COVID-19 pandemic on surgery for indeterminate thyroid nodules (THYCOVID): a retrospective, international, multicentre, cross-sectional study

Background Since its outbreak in early 2020, the COVID-19 pandemic has diverted resources from non-urgent and elective procedures, leading to diagnosis and treatment delays, with an increased number of neoplasms at advanced stages worldwide. The aims of this study were to quantify the reduction in surgical activity for indeterminate thyroid nodules during the COVID-19 pandemic; and to evaluate whether delays in surgery led to an increased occurrence of aggressive tumours.Methods In this retrospective, international, cross-sectional study, centres were invited to participate in June 22, 2022; each centre joining the study was asked to provide data from medical records on all surgical thyroidectomies consecutively performed from Jan 1, 2019, to Dec 31, 2021. Patients with indeterminate thyroid nodules were divided into three groups according to when they underwent surgery: from Jan 1, 2019, to Feb 29, 2020 (global prepandemic phase), from March 1, 2020, to May 31, 2021 (pandemic escalation phase), and from June 1 to Dec 31, 2021 (pandemic decrease phase). The main outcomes were, for each phase, the number of surgeries for indeterminate thyroid nodules, and in patients with a postoperative diagnosis of thyroid cancers, the occurrence of tumours larger than 10 mm, extrathyroidal extension, lymph node metastases, vascular invasion, distant metastases, and tumours at high risk of structural disease recurrence. Univariate analysis was used to compare the probability of aggressive thyroid features between the first and third study phases. The study was registered on ClinicalTrials.gov, NCT05178186.Findings Data from 157 centres (n=49 countries) on 87 467 patients who underwent surgery for benign and malignant thyroid disease were collected, of whom 22 974 patients (18 052 [78 center dot 6%] female patients and 4922 [21 center dot 4%] male patients) received surgery for indeterminate thyroid nodules. We observed a significant reduction in surgery for indeterminate thyroid nodules during the pandemic escalation phase (median monthly surgeries per centre, 1 center dot 4 [IQR 0 center dot 6-3 center dot 4]) compared with the prepandemic phase (2 center dot 0 [0 center dot 9-3 center dot 7]; p<0 center dot 0001) and pandemic decrease phase (2 center dot 3 [1 center dot 0-5 center dot 0]; p<0 center dot 0001). Compared with the prepandemic phase, in the pandemic decrease phase we observed an increased occurrence of thyroid tumours larger than 10 mm (2554 [69 center dot 0%] of 3704 vs 1515 [71 center dot 5%] of 2119; OR 1 center dot 1 [95% CI 1 center dot 0-1 center dot 3]; p=0 center dot 042), lymph node metastases (343 [9 center dot 3%] vs 264 [12 center dot 5%]; OR 1 center dot 4 [1 center dot 2-1 center dot 7]; p=0 center dot 0001), and tumours at high risk of structural disease recurrence (203 [5 center dot 7%] of 3584 vs 155 [7 center dot 7%] of 2006; OR 1 center dot 4 [1 center dot 1-1 center dot 7]; p=0 center dot 0039).Interpretation Our study suggests that the reduction in surgical activity for indeterminate thyroid nodules during the COVID-19 pandemic period could have led to an increased occurrence of aggressive thyroid tumours. However, other compelling hypotheses, including increased selection of patients with aggressive malignancies during this period, should be considered. We suggest that surgery for indeterminate thyroid nodules should no longer be postponed even in future instances of pandemic escalation.Funding None.Copyright (c) 2023 Published by Elsevier Ltd. All rights reserved

Accreditation of endocrine surgery units.

BACKGROUND/PURPOSE A key measure to maintain and improve the quality of healthcare is the formal accreditation of provider units. The European Society of Endocrine Surgeons (ESES) therefore proposes a system of accreditation for endocrine surgical centers in Europe to supplement existing measures that promote high standards in the practice in endocrine surgery. METHODS A working group analyzed the current healthcare situation in the field of endocrine surgery in Europe. Two surveys were distributed to ESES members to acquire information about the structure, staffing, caseload, specifications, and technology available to endocrine surgery units. Further data were sought on tracer diagnoses for quality standards, training provision, and research activity. Existing accreditation models related to endocrine surgery were included in the analysis. RESULTS The analysis of existing accreditation models, available evidence, and survey results suggests that a majority of ESES members aspire to a two-level model (termed competence and reference centers), sub-divided into those providing neck endocrine surgery and those providing endocrine surgery. Criteria for minimum caseload, number and certification of staff, unit structure, on-site collaborating disciplines, research activities, and training capacity for competence center accreditation are proposed. Lastly, quality indicators for distinct tracer diagnoses are defined. CONCLUSIONS Differing healthcare structures, existing accreditation models, training models, and varied case volumes across Europe are barriers to the conception and implementation of a pan-European accreditation model. However, there is consensus on accepted standards required for accrediting an ESES competence center. These will serve as a basis for first-stage accreditation of endocrine surgery units

Texas Business Review, February 1961

Review of Texas Business-1960; Texas Industrial Growth Still Strong; State Agriculture at Near Record Level; Texas Building Shows Mixed Movement; Texas Retail Sales For 1960 Fall Short of 1959Bureau of Business Researc

Texas Business Review, November 1960

The Business Situation in Texas; Rice: Texas Crop in Search of a Consumer; Finance: The European Economic Community: New Opportunities or Discrimination?; Retail Trade: Growth in Texas Retail Trade 1954-1958; Construction: Nonresidential Permits Set September Record; Residential Continues to Level Off; Agriculture: Cotton in TransitionBureau of Business Researc

Texas Business Review, June 1961

The Business Situation in Texas; Industrialization of the South; The Changing Face of Texas Agriculture; Business Games Without Computers; Home Financing: 1961 Policies and Programs; Gold and Balance of Payments DeficitsBureau of Business Researc