Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

Conservation laws are considered to be fundamental laws of nature. It has broad applications in many fields, including physics, chemistry, biology, geology, and engineering. Solving the differential equations associated with conservation laws is a major branch in computational mathematics. The recent success of machine learning, especially deep learning in areas such as computer vision and natural language processing, has attracted a lot of attention from the community of computational mathematics and inspired many intriguing works in combining machine learning with traditional methods. In this paper, we are the first to view numerical PDE solvers as an MDP and to use (deep) RL to learn new solvers. As proof of concept, we focus on 1-dimensional scalar conservation laws. We deploy the machinery of deep reinforcement learning to train a policy network that can decide on how the numerical solutions should be approximated in a sequential and spatial-temporal adaptive manner. We will show that the problem of solving conservation laws can be naturally viewed as a sequential decision-making process, and the numerical schemes learned in such a way can easily enforce long-term accuracy. Furthermore, the learned policy network is carefully designed to determine a good local discrete approximation based on the current state of the solution, which essentially makes the proposed method a meta-learning approach. In other words, the proposed method is capable of learning how to discretize for a given situation mimicking human experts. Finally, we will provide details on how the policy network is trained, how well it performs compared with some state-of-the-art numerical solvers such as WENO schemes, and supervised learning based approach L3D and PINN, and how well it generalizes.     

Cefoperazone-sulbactam and risk of coagulation disorders or bleeding: a retrospective cohort study

ABSTRACT

Objectives: Limited evidence has suggested that cefoperazone-sulbactam causes coagulation disorders and bleeding.

Methods: The authors conducted a retrospective study to compare patients receiving cefoperazone-sulbactam versus those treated with cefoperazone-tazobactam or ceftazidime. Propensity-score matching was used to explore whether treatment with cefoperazone-sulbactam increased the risk of prothrombin time (PT) prolongation, coagulation disorders, and bleeding, or decreased platelets (PLT).

Results: The cohort included 23,242 patients. Among patients receiving cefoperazone-sulbactam, the risk of PT prolongation, coagulation disorders, decreased PLT, and bleeding was 5.3%, 9.2%, 15.7%, and 4.2%, respectively. Propensity-score matching analyses suggested that cefoperazone-sulbactam increased the risk of PT prolongation (aOR 2.26, 95% CI 1.61–3.18), coagulation disorders (aOR 1.81, 95% CI 1.43–2.30), and decreased PLT (aOR 1.46, 95% CI 1.25–1.72), but not increase bleeding (aOR 1.05, 95% CI 0.79–1.40) compared with ceftazidime. Patients receiving cefoperazone-sulbactam had higher risk of PT prolongation (aOR 1.53, 95% CI 1.11–2.10), coagulation disorders (aOR 1.53, 95% CI 1.21–1.95), but not decreased PLT (aOR 0.93, 95% CI 0.81–1.07) or bleeding (aOR 1.11, 95% CI 0.87–1.42), compared with those receiving cefoperazone-tazobactam.

Conclusion: Cefoperazone-sulbactam may be associated with a higher risk of PT prolongation and coagulation disorders compared with cefoperazone-tazobactam and ceftazidime.     

Double-balloon enteroscopy for retrieving retained small-bowel video capsule endoscopes: a systematic review

Abstract

Background and aim: Capsule retention is the most common adverse event associated with video capsule endoscopy. The use of double-balloon enteroscopy-assisted capsule endoscope retrieval has been increasingly reported in recent years. However, evidence is limited regarding its success rate, associated factors, and subsequent clinical outcomes.

Methods: A systematic review of relevant studies published before January 2019 was performed. Successful retrieval rate and associated factors, rate of endoscopic balloon dilation, and outcomes after double-balloon enteroscopy were summarized and pooled.

Results: Within 154 associated original articles, 12 including 150 cases of capsule retrieval by double-balloon enteroscopy were included. The estimated pooled successful retrieval rate was 86.5% (95% confidence interval, 75.6–95.1%). Anterograde approach and capsules retained in the jejunum or trapped by malignant strictures were associated with a higher successful retrieval rate than the retrograde approach (62/83 [74.7%] vs. 10/38 [26.3%], p?<?.001) and capsules retained in the ileum (41/41 [100.0%] vs. 43/58 [74.1%], p?<?.001) or trapped by benign strictures (21/21 [100.0%] vs. 65/83 [78.3%], p?=?.043). Endoscopic balloon dilation was performed in 38.8% (95% confidence interval, 22.3–56.3%) of patients with benign strictures. Two perforations (1.3%) were reported as severe adverse events after double-balloon enteroscopy. A significantly lower surgery rate was found among cases with successful video capsule removal compared with unsuccessful cases (7.2% vs. 38.5%, p?=?.002).

Conclusions: Double-balloon enteroscopy is feasible and safe for removing retained video capsule endoscopes, and its use could decrease the need for surgery in patients with benign strictures and facilitate subsequent surgery in patients with malignant strictures.     

A Stable Q Compensated Reverse Time Migration Method Based on Excitation Amplitude Imaging Condition

The stability and efficiency, especially the stability, are generally concerned issues in Q compensated reverse time migration (Q-RTM). The instability occurs because of the exponentially boosted high frequency ambient noise during the forward or backward seismic wavefield propagation. The regularization and low-pass filtering methods are two effective strategies to control the instability of the wave propagation in Q-RTM. However, the regularization parameters are determined experimentally, and the wavefield cannot be recovered accurately. The low-pass filtering method cannot balance the selection of cutoff frequency for varying Q values, and may damage the effective signals, especially when the signal-to-noise ratio (SNR) of the seismic data is low, the Q-RTM will be a highly unstable process. In order to achieve the purpose of stability, the selection of cutoff frequency will be small enough, which can cause great damage to the effective high frequency signals. In this paper, we present a stable Q-RTM algorithm based on the excitation amplitude imaging condition, which can compensate both the amplitude attenuation and phase dispersion. Unlike the existing Q-RTM algorithms enlarging the amplitude, the exponentially attenuated seismic wavefield will be used during both the forward and backward wavefield propagation of Q-RTM. Therefore, the new Q-RTM algorithm is relative stable, even for the low SNR seismic data. In order to show the accuracy and stability of our stable Q-RTM algorithm clearly, an example based on Graben model will be illustrated. Then, a realistic BP gas chimney model further demonstrates that the proposed method enjoys good stability and anti-noise performance compared with the traditional Q-RTM with amplitude amplification. Compare the Q-RTM images of these two models to the reference images obtained by the acoustic RTM with acoustic seismic data, the new Q-RTM results match the reference images quite well. The proposed method is also tested using a field seismic data, the result shows the effectiveness of our proposed method.     

以肺动脉高压为首发表现的先天性中枢性低通气综合征临床特征和基因分析

目的探讨先天性中枢性低通气综合征(CCHS)的临床和基因变异特征。方法分析1例首发表现为不明原因肺动脉高压的CCHS患儿的临床资料,并总结国内外文献中CCHS病例的临床特点、致病机制和基因变异情况。结果11月龄女婴,主要表现为浮肿、尿少、低血压、嗜睡、发绀、抽搐及颅内压增高。B型脑利钠肽、丙氨酸氨基转移酶升高,凝血酶原时间延长。颅脑磁共振示右侧额叶出血;超声心动图示中重度肺动脉高压。靶向捕获二代测序未发现可能的致病基因。采用Sanger法验证示患儿PHOX 2 B基因第3外显子存在多聚丙氨酸重复扩展变异,基因型为20/25。患儿入院后采用无创通气,睡眠时呼吸浅慢、微弱,伴血氧下降;血气分析提示二氧化碳潴留。随后改用夜间无创通气、降肺压药物治疗。复查肺动脉压力明显下降,生命体征稳定。随访至24月龄,夜间只需较低压力水平的无创通气,生长发育无异常。结论对于不明原因的肺动脉高压伴撤机困难患儿,需警惕CCHS。疑诊者应尽早针对CCHS相关基因进行靶向捕获二代测序及PHOX 2 B基因Sanger法验证。早期给予无创通气有望改善预后。     

ELAM-1在鼻咽癌裸鼠移植瘤中的表达及其与转移的关系

目的 建立裸鼠鼻咽癌转移模型并探讨 E-选择素（ELAM-1）与鼻咽癌转移的相关性。方法 将鼻咽癌5-8F细胞悬液注射于裸鼠左后肢爪垫，观察裸鼠状态、成瘤情况并测量裸鼠体重及移植瘤长短径；采用连续病理切片苏木精-伊红染色观察移植瘤及转移情况，将16只人鼻咽癌荷瘤裸鼠分为转移组和非转移组；采用免疫组织化学法检测两组移植瘤组织中ELAM-1的表达。 结果 16只裸鼠均成瘤，成瘤率为100.0%，其中10只裸鼠出现转移瘤，转移率为62.5%。建模前，两组裸鼠体重差异无统计学意义［（13.83±0.56）g vs （14.62±0.30） g，t=1.026，P=0.071］。建模后4~7周，裸鼠瘤体体积呈指数增长，且转移组移植瘤增长速度较非转移组快，非转移组裸鼠瘤体体积小于转移组［（198.91 ± 163.29） mm³ vs （268.76 ±174.31） mm³，t=4.376，P=0.005］。ELAM-1在鼻咽癌裸鼠移植瘤、淋巴结转移灶及远处转移灶中的表达均为阳性，主要表达于细胞膜。转移组移植瘤光密度值高于非转移组（0.4497±0.0705 vs 0.0435±0.0082，t=4.388，P＝0.001）。结论 本研究成功构建稳定性好、转移率高的鼻咽癌裸鼠移植瘤转移模型，且ELAM-1在裸鼠移植瘤中高表达，可促进鼻咽癌裸鼠移植瘤生长和转移。     

从形气神谈溃疡性结肠炎的中西医认识

溃疡性结肠炎(Ulcerative colitis,UC)是一种病情反复、迁延难愈的炎症肠病,已被世界卫生组织列为现代难治病之一[1]。本病病因及发病机制尚不明确,西药治疗效果欠佳。近年来中医药的介入,临床取得显著疗效。西医学认为疾病是机体在一定致病因素的作用下自稳调节紊乱,经过机体内损伤和抗损伤反应的相互斗争,表现出的一系列功能。     

非活动性结核性胸膜炎与活动性结核性胸膜炎的CT扫描影像特征分析

目的: 探讨非活动性结核性胸膜炎与活动性结核性胸膜炎CT扫描影像表现。方法: 对2012年6月1日至2021年3月30日在首都医科大学附属北京胸科医院就诊的单纯非活动性结核性胸膜炎患者68例和同期活动性结核性胸膜炎44例的CT扫描影像表现进行比较。结果: (1) 68例非活动性结核性胸膜炎患者 CT扫描影像表现中胸膜粘连62例(91.2%),胸膜有钙化者28例(41.2%),叶间裂受累22例(32.4%),胸腔积液12例(17.6%),包裹性胸腔积液8例(11.8%)。(2)44例活动性结核性胸膜炎患者CT扫描影像表现中胸膜粘连30例(68.2%),未见胸膜钙化,叶间裂受累32例(72.7%),胸腔积液43例(97.7%),包裹性胸腔积液26例(59.1%)。(3)非活动性与活动性结核性胸膜炎CT扫描影像比较:胸膜粘连、胸膜钙化发生率高,差异均有统计学意义(χ²=9.630,P=0.002;χ²=23.737,P=0.000);叶间裂受累、胸腔积液、包裹性胸腔积液的发生率低,差异均有统计学意义(χ²=12.692,P=0.000;χ²=68.548,P=0.000;χ²=28.301,P=0.000)。结论: 非活动性结核性胸膜炎的CT扫描影像与活动性结核性胸膜炎比较胸膜粘连、胸膜钙化的发生率高,胸腔积液、包裹性胸腔积液、叶间裂受累的发生率低。识别非活动性和活动性结核性胸膜炎的CT扫描影像特点,对患者临床治疗有指导意义。     

浮肩损伤的临床特征和治疗

目的 总结浮肩损伤（floating shoulder injury，FSI）的临床特征和治疗效果。方法1993年1月-2004年9月收治浮肩损伤患者8例，除2例行锁骨固定带固定外，其余6例均行手术治疗，其中单纯行锁骨切开复位重建钢板内固定1例，同时行肩胛骨内固定5例。受伤至手术时间为2h～7d，平均3．5d，术后6个月对患肩功能进行Constant评分判定疗效，并对浮肩损伤的临床特征和治疗进行总结。结果6例患者经过6个月～3年（平均11个月）的随访，锁骨和肩胛骨骨折均愈合，肩关节活动范围无明显受限，但有2例患者在举重物时肩关节有轻度的疼痛，1例患侧上肢肌力较对侧稍减弱。术后6个月患肩功能Constant评分平均为93分。结论浮肩损伤多为高能量暴力所致的不稳定性肩胛带损伤，在治疗方案上尚存争议。但对移位明显的浮肩损伤以及有伴发伤的浮肩损伤进行手术治疗是必要的。