Structured condition number for multiple right-hand side linear systems with parameterized quasiseparable coefficient matrix

In this paper, we consider the structured perturbation analysis for multiple right-hand side linear systems with parameterized coefficient matrix. Especially, we present the explicit expressions for structured condition numbers for multiple right-hand sides linear systems with {1;1}-quasiseparable coefficient matrix in the quasiseparable and the Givens-vector representations. In addition, the comparisons of these two condition numbers between themselves, and with respect to unstructured condition number are investigated. Moreover, the effective structured condition number for multiple right-hand sides linear systems with {1;1}-quasiseparable coefficient matrix is proposed. The relationships between the effective structured condition number and structured condition numbers with respect to the quasiseparable and the Givens-vector representations are also studied. Numerical experiments show that there are situations in which the effective structured condition number can be much smaller than the unstructured ones

DataSheet_1_Deep learning based on 68Ga-PSMA-11 PET/CT for predicting pathological upgrading in patients with prostate cancer.docx

ObjectivesTo explore the feasibility and importance of deep learning (DL) based on 68Ga-prostate-specific membrane antigen (PSMA)-11 PET/CT in predicting pathological upgrading from biopsy to radical prostatectomy (RP) in patients with prostate cancer (PCa).MethodsIn this retrospective study, all patients underwent 68Ga-PSMA-11 PET/CT, transrectal ultrasound (TRUS)-guided systematic biopsy, and RP for PCa sequentially between January 2017 and December 2022. Two DL models (three-dimensional [3D] ResNet-18 and 3D DenseNet-121) based on 68Ga-PSMA-11 PET and support vector machine (SVM) models integrating clinical data with DL signature were constructed. The model performance was evaluated using area under the receiver operating characteristic curve (AUC), accuracy, sensitivity, and specificity.ResultsOf 109 patients, 87 (44 upgrading, 43 non-upgrading) were included in the training set and 22 (11 upgrading, 11 non-upgrading) in the test set. The combined SVM model, incorporating clinical features and signature of 3D ResNet-18 model, demonstrated satisfactory prediction in the test set with an AUC value of 0.628 (95% confidence interval [CI]: 0.365, 0.891) and accuracy of 0.727 (95% CI: 0.498, 0.893).ConclusionA DL method based on 68Ga-PSMA-11 PET may have a role in predicting pathological upgrading from biopsy to RP in patients with PCa.</p

[99mTc]Tc-Galacto-RGD2 integrin αvβ3-targeted imaging as a surrogate for molecular phenotyping in lung cancer: real-world data

Abstract Background Epidermal growth factor receptor tyrosine kinase inhibitors (TKIs) are beneficial in patients with lung cancer. We explored the clinical value of [99mTc]Tc-Galacto-RGD2 single-photon emission computed tomography (SPECT/CT) in patients with lung cancer, integrin αvβ3 expression, and neovascularization in lung cancer subtypes was also addressed. Methods A total of 185 patients with lung cancer and 25 patients with benign lung diseases were enrolled in this prospective study from January 2013 to December 2016. All patients underwent [99mTc]Tc-Galacto-RGD2 imaging. The region of interest was drawn around each primary lesion, and tumour uptake of [99mTc]Tc-Galacto-RGD2 was expressed as the tumour/normal tissue ratio(T/N). The diagnostic efficacy was evaluated by receiver operating characteristic curve analysis. Tumour specimens were obtained from 66 patients with malignant diseases and 7 with benign disease. Tumour expression levels of αvβ3, CD31, Ki-67, and CXCR4 were further analysed for the evaluation of biological behaviours. Results The lung cancer patients included 22 cases of small cell lung cancer (SCLC), 48 squamous cell carcinoma (LSC), 97 adenocarcinoma (LAC), and 18 other types of lung cancer. The sensitivity, specificity, and accuracy of [99mTc]Tc-Galacto-RGD2 SPECT/CT using a cut-off value of T/N ratio at 2.5 were 91.89%, 48.0%, and 86.67%, respectively. Integrin αvβ3 expression was higher in non-SCLC compared with SCLC, while LSC showed denser neovascularization and higher integrin αvβ3 expression. Integrin αvβ3 expression levels were significantly higher in advanced (III, IV) than early stages (I, II). However, there was no significant correlation between tumour uptake and αvβ3 expression. Conclusions [99mTc]Tc-Galacto-RGD2 SPECT/CT has high sensitivity but limited specificity for detecting primary lung cancer, integrin expression in the tumour vessel and tumour cell membrane contributes to the tumour uptake

The genome of the mesopolyploid crop species Brassica rapa

We report the annotation and analysis of the draft genome sequence of Brassica rapa accession Chiifu-401-42, a Chinese cabbage. We modeled 41,174 protein coding genes in the B. rapa genome, which has undergone genome triplication. We used Arabidopsis thaliana as an outgroup for investigating the consequences of genome triplication, such as structural and functional evolution. The extent of gene loss (fractionation) among triplicated genome segments varies, with one of the three copies consistently retaining a disproportionately large fraction of the genes expected to have been present in its ancestor. Variation in the number of members of gene families present in the genome may contribute to the remarkable morphological plasticity of Brassica species. The B. rapa genome sequence provides an important resource for studying the evolution of polyploid genomes and underpins the genetic improvement of Brassica oil and vegetable crops