Multidimensional analogues of Carleman’s formula with integration over boundary sets of maximal dimension

1990 ◽  
pp. 1-8
Author(s):  
L. A. Aĭzenberg
Keyword(s):  
Maximal Dimension ◽  
Boundary Sets

Some Mapping Theorems for the Classes An, m and the Boundary Sets

1999 ◽  
Vol 79 (1) ◽  
pp. 222-240
Author(s):  
G. Cassier ◽  
I. Chalendar ◽  
B. Chevreau
Keyword(s):  
Boundary Sets

scholarly journals Structural Analysis of the Partially Disordered Protein EspK from Mycobacterium tuberculosis

Crystals ◽  
2020 ◽  
Vol 11 (1) ◽  
pp. 18
Author(s):  
Abril Gijsbers ◽  
Nuria Sánchez-Puig ◽  
Ye Gao ◽  
Peter J. Peters ◽  
Raimond B. G. Ravelli ◽  
...  
Keyword(s):  
Host Response ◽  
Limited Proteolysis ◽  
Maximal Dimension ◽  
Globular Domain ◽  
Saxs Data ◽  
X Ray ◽  
Disordered Protein ◽  
X Ray Scattering ◽  
C Terminus ◽  
New Treatments

For centuries, tuberculosis has been a worldwide burden for human health, and gaps in our understanding of its pathogenesis have hampered the development of new treatments. ESX-1 is a complex machinery responsible for the secretion of virulence factors that manipulate the host response. Despite the importance of these secreted proteins for pathogenicity, only a few of them have been structurally and functionally characterised. Here, we describe a structural study of the ESX-secretion associated protein K (EspK), a 74 kDa protein known to be essential for the secretion of other substrates and the cytolytic effects of ESX-1. Small-Angle X-ray Scattering (SAXS) data show that EspK is a long molecule with a maximal dimension of 228 Å. It consists of two independent folded regions at each end of the protein connected by a flexible unstructured region driving the protein to coexist as an ensemble of conformations. Limited proteolysis identified a 26 kDa globular domain at the C-terminus of the protein consisting of a mixture of α-helices and β-strands, as shown by circular dichroism (CD) and SAXS. In contrast, the N-terminal portion is mainly helical with an elongated shape. Sequence conservation suggests that this architecture is preserved amongst the different mycobacteria species, proposing specific roles for the N- and C-terminal domains assisted by the middle flexible linker.

RADT-03. OUTCOMES OF PATIENTS WITH HER2-POSITIVE BREAST CANCER METASTATIC TO BRAIN TREATED WITH HER2-TARGETED SYSTEMIC THERAPY AND STEREOTACTIC RADIOSURGERY

2021 ◽  
Vol 23 (Supplement_6) ◽  
pp. vi41-vi41
Author(s):  
John Shumway ◽  
Marina Torras ◽  
Katherine Reeder-Hayes ◽  
Trevor Jolly ◽  
Elizabeth Dees ◽  
...  
Keyword(s):  
Breast Cancer ◽  
Brain Metastasis ◽  
Stereotactic Radiosurgery ◽  
Systemic Therapy ◽  
Survival Outcomes ◽  
Maximal Dimension ◽  
Her2 Positive ◽  
Intracranial Metastasis ◽  
Her2 Positive Breast Cancer ◽  
Positive Breast Cancer

Abstract OBJECTIVE For patients with HER2-positive breast cancer metastatic to brain, HER2-directed systemic therapies are increasingly used with stereotactic radiosurgery (SRS). These include monoclonal antibodies such as trastuzumab (H) and pertuzumab (P), antibody-drug conjugates such as ado-trastuzumab emtansine (T-DM1), and tyrosine kinase inhibitors such as lapatinib. Limited data exist regarding appropriate timing with SRS and outcomes of this treatment regimen. METHODS A single-institution retrospective review collected clinical data on patients with breast cancer metastatic to brain who were treated with SRS from 2009-2020. Statistical analyses were performed using the Kaplan-Meier method and chi-square statistic. RESULTS Of 82 patients with breast cancer metastatic to brain treated with SRS, 33 (40%) were HER2-positive, 18 of whom were hormone receptor-positive. At brain metastasis diagnosis, 15 patients (45%) had >1 intracranial metastasis (range 2-7), and the median brain metastasis maximal dimension was 2.0 cm. Fifteen patients had uncontrolled extracranial disease. After brain metastasis diagnosis, 9 patients (27%) were treated with systemic therapy first (T-DM1+/-HP, lapatinib+HP, chemotherapy+/-HP) followed by SRS at a median of 18.6 months after starting systemic therapy. Seven patients (21%) were treated with SRS first, followed by systemic therapy in 6 of these patients (multi-agent regimens, 4 including T-DM1 or lapatinib). Seventeen (52%) received concurrent systemic therapy and SRS (T-DM1+/-chemotherapy, lapatinib, HP, hormone therapy, chemotherapy). Median follow-up time was 21.1 months. Median overall survival was 24.8 months and not statistically different between treatment groups. Four patients (12%) developed symptomatic radionecrosis; 3 were on T-DM1 concurrent with SRS. CONCLUSION In this small patient sample, we noted favorable survival outcomes for patients with HER2-positive breast cancer metastatic to brain when treated with HER2-targeted therapies together with SRS. The sequence of systemic therapy and SRS does not appear to impact survival outcomes. Concurrent treatment with T-DM1 and SRS may be associated with higher rates of radionecrosis.

Aortic root measurement on CT: linear dimensions, aortic root area and comparison with echocardiography. A retrospective cross sectional study

2021 ◽  
Vol 94 (1121) ◽  
pp. 20201232
Author(s):  
Kai'En Leong ◽  
Henry Knipe ◽  
Simon Binny ◽  
Heather Pascoe ◽  
Nathan Better ◽  
...  
Keyword(s):  
Aortic Root ◽  
Intraclass Correlation ◽  
Maximal Dimension ◽  
Short Axis ◽  
Cross Sectional ◽  
Root Area ◽  
Linear Dimensions ◽  
Root Measurement ◽  
Better Than ◽  
Excellent Reproducibility

Objective: We sought to assess the different CT aortic root measurements and determine their relationship to transthoracic echocardiography (TTE). Methods: TTE and ECG-gated CT images were reviewed from 70 consecutive patients (mean age 54 ± 18 years; 67% male) with tricuspid aortic roots (trileaflet aortic valves) between Nov 2009 and Dec 2013. Three CT planes (coronal, short axis en face and three-chamber) were used for measurement of nine linear dimensions. TTE aortic root dimension was measured as per guidelines from the parasternal long axis view. Results: All CT short axis measurements of the aortic root had excellent reproducibility (intraclass correlation coefficient, ICC 0.96–0.99), while coronal and three-chamber planes had lower reproducibility with ICC 0.90 (95% CI 0.84–0.94) and ICC 0.92 (0.87–0.95) respectively. CT coronal and short axis maximal dimensions were systematically larger than TTE (mean 2 mm larger, p < 0.001), while CT cusp to commissure measurements were systematically smaller (CT RCC-comm mean 2 mm smaller than TTE, p < 0.001). All CT short axis measurements had excellent correlation with aortic root area with CT short axis maximal dimension marginally better than the rest (Pearson’s R 0.97). Conclusion: Systematic differences exist between CT and TTE dependent on the CT plane of measurement. All CT short axis measurements of the aortic root had excellent reproducibility and correlation with aortic root area with maximal dimension appearing marginally better than the rest. Our findings highlight the importance of specifying the chosen plane of aortic root measurement on CT. Advances in knowledge: Systematic differences in aortic root dimension exist between TTE and the various CT measurement planes. CT coronal and short axis maximal dimensions were systematically larger than TTE, while CT cusp to commissure measurements were smaller. CT readers should indicate the plane of measurement and the specific linear dimension to avoid ambiguity in follow-up and comparison.

Representations of symmetric groups with maximal dimension

1992 ◽  
Vol 59 (5) ◽  
pp. 1131-1135 ◽  
Author(s):  
S. V. Kerov ◽  
A. M. Pass
Keyword(s):  
Symmetric Groups ◽  
Maximal Dimension

A Note About Linear Systems on Curves

1984 ◽  
Vol 27 (3) ◽  
pp. 371-374
Author(s):  
Allen Tannenbaum
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Minimal Degree ◽  
Maximal Dimension ◽  
Degree Relative ◽  
Irreducible Curve ◽  
The Given

AbstractInverting the Castelnuovo bound in two ways, we show that for given integers p ≥ 0, d > 1, n > 1, we can find a smooth irreducible curve of genus p which contains a linear system of degree d and of maximal dimension relative to the given data p and d, and a smooth irreducible curve of genus p which contains a linear system of dimension n and of minimal degree relative to the data p and n.

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