Frame Invariance and Scalability of Neural Operators for Partial Differential Equations

Partial differential equations (PDEs) play a dominant role in the mathematical modeling of many complex dynamical processes. Solving these PDEs often requires prohibitively high computational costs, especially when multiple evaluations must be made for different parameters or conditions. After training, neural operators can provide PDEs solutions significantly faster than traditional PDE solvers. In this work, invariance properties and computational complexity of two neural operators are examined for transport PDE of a scalar quantity. Neural operator based on graph kernel network (GKN) operates on graph-structured data to incorporate nonlocal dependencies. Here we propose a modified formulation of GKN to achieve frame invariance. Vector cloud neural network (VCNN) is an alternate neural operator with embedded frame invariance which operates on point cloud data. GKN-based neural operator demonstrates slightly better predictive performance compared to VCNN. However, GKN requires an excessively high computational cost that increases quadratically with the increasing number of discretized objects as compared to a linear increase for VCNN.     

Clinical Outcomes at 1 Year Following Transcatheter Left Atrial Appendage Occlusion in the United States

ObjectivesThe aim of this study was to report 1-year clinical outcomes following commercial transcatheter left atrial appendage occlusion (LAAO) in the United States.BackgroundThe National Cardiovascular Data Registry LAAO Registry was initiated to meet a condition of Medicare coverage and allow the assessment of clinical outcomes. The 1-year rates of thromboembolic events after transcatheter LAAO in such a large cohort of “real-world” patients have not been previously reported.MethodsPatients entered into the National Cardiovascular Data Registry LAAO Registry for a Watchman procedure between January 1, 2016, and December 31, 2018, were included. The primary endpoint was ischemic stroke. Key secondary endpoints included the rate of ischemic stroke or systemic embolism, mortality, and major bleeding. Major bleeding was defined as any bleeding requiring hospitalization, and/or causing a decrease in hemoglobin level > 2g/dL, and/or requiring blood transfusion that was not hemorrhagic stroke. The Kaplan-Meier method was used for 1-year estimates of cumulative event rates.ResultsThe study population consisted of 36,681 patients. The mean age was 76.0 ± 8.1 years, the mean CHA₂DS₂-VASc score was 4.8 ± 1.5, and the mean HAS-BLED score was 3.0 ± 1.1. Prior stroke was present in 25.5%, clinically relevant bleeding in 69.5%, and intracranial bleeding in 11.9%. Median follow-up was 374 days (IQR: 212-425 days). The Kaplan-Meier–estimated 1-year rate of ischemic stroke was 1.53% (95% CI: 1.39%-1.69%), the rate of ischemic stroke or systemic embolism was 2.19% (95% CI: 2.01%-2.38%), and the rate of mortality was 8.52% (95% CI: 8.19%-8.87%). The 1-year estimated rate of major bleeding was 6.93% (95% CI: 6.65%-7.21%). Most bleeding events occurred between discharge and 45 days following the procedure.ConclusionsThis study characterizes important outcomes in a national cohort of patients undergoing transcatheter LAAO in the United States. Clinicians and patients can integrate these data in shared decision making when considering this therapy.     

Time-varying characteristics of the induced membrane and its effects on bone defect repair

PurposeThis study intended to determine the properties of induced membranes after various periods of polymethyl methacrylate (PMMA) retention and the effect of different retention intervals on subsequent defect repair.MethodsModel of a critical bone defect in rabbits was prepared to obtain the induced membrane. For varying intervals of spacer insertion (2, 4, 6, 8, 12, 16, and 20 weeks postoperatively), angiogenesis, osteogenesis, and MSC-related properties were analyzed by immunohistochemistry and western-blot. Furthermore, 2, 4, 6, and 8 weeks after PMMA insertion, bone grafting was performed. Characteristics of defect repair were analyzed by X-ray and micro-CT analysis.ResultsThe induced membrane displayed angiogenesis, osteogenesis, and MSC-related properties from the 2- to 20-week intervals. Quantitation of protein expression (RUNX2, ALP, VEGF, TGF-beta, OCT4, and STRO1) revealed that selected proteins gradually rose to a high level at 4–8 weeks postoperatively and then decreased to a low level over a long time period. Following bone grafting, the most new bone formation was in the group when grafting was performed at 4 weeks, followed by the groups at 2 and 6 weeks, with the least in the group at 8 weeks.ConclusionThe induced membrane displays angiogenesis, osteogenesis, and MSC-related properties from the 2- to 20-week intervals. These were increased to a peak level at 4–8 weeks postoperatively and then gradually decreased. The optimal timing for bone grafting at the second stage in the presented model was 4 weeks after PMMA insertion.     

新型降脂药人前蛋白转化酶枯草溶菌素 9抑制剂与动脉粥样硬化性心血管疾病、静脉血栓栓塞疾病关系的研究进展

随着生活方式的改变，心脑血管疾病逐渐成为全人类死亡的“头号杀手”高于恶性肿瘤、糖尿病等。血脂的升高尤其是低密度脂蛋白胆固醇( LDL-C)的升高与动脉粥样硬化性心血管疾病( ASCVD)的发，生、发展息息相关。现有的专家共识、南提出他汀类药物是降低 LDL-C的一线用药，但仍可能会发生复发性缺血事件。人前蛋白转化酶枯草溶菌素 9(PCSK9)抑制指剂作为一类新型降脂药，有显著降低血 LDL-C水平，同时又可降低脂蛋白( a)的水平，又与 ASCVD与静脉血栓栓塞疾病( VTE)的发病可能相关。本文将系统地阐述新型降脂药 PCSK9抑制剂与 ASCVD、VTE的关系研究进展。     

Review of Chinese Journal of Traumatology in the year 2018

Trauma is one of the leading causes of death worldwide. It is an urgent task to strengthen the trauma care and prevent the complications. In 2018, Chinese Journal of Traumatology reported a series of trauma-related articles of which the contents include pre-hospital care, in-hospital care and complication prevention, et al, aiming to improve the treatment levels, decrease the trauma incidence, and reduce the trauma mortality and disability.     

Combined hepatic and portal vein embolization as preparation for major hepatectomy: a systematic review

BackgroundSome patients remain deemed unsuitable for resection after portal vein embolization (PVE) because of insufficient hypertrophy of the future remnant liver (FRL). Hepatic and portal vein embolization (HPVE) has been shown to induce hypertrophy of the FRL. The aim of this study was to provide a systematic review of the available literature on HPVE as preparation for major hepatectomy.MethodsThe literature search was performed on online databases. Studies including patients who underwent preoperative HPVE were retrieved for evaluation.ResultsSix articles including 68 patients were published between 2003 and 2017. HPVE was performed successfully in all patients with no mortality and morbidity-related procedures. The degree of hypertrophy of the FRL after HPVE ranged from 33% to 63.3%. Surgical resection after preoperative HPVE could be performed in 85.3% of patients, but 14.7% remained unsuitable for resection because of insufficient hypertrophy of the FRL or tumor progression. Posthepatectomy morbidity and mortality rates were 10.3% and 5.1%, respectively. The postoperative liver failure rate was nil.ConclusionHPVE as a preparation for major hepatectomy appears to be feasible and safe and could increase the resectability of patients initially deemed unsuitable for resection because of absent or insufficient hypertrophy of the FRL after PVE alone.