Ulam stability and data dependence for fractional differential equations with Caputo derivative

In this paper, Ulam stability and data dependence for fractional differential equations with Caputo fractional derivative of order $\alpha$ are studied. We present four types of Ulam stability results for the fractional differential equation in the case of $0<\alpha<1$ and $b=+\infty$ by virtue of the Henry-Gronwall inequality. Meanwhile, we give an interesting data dependence results for the fractional differential equation in the case of $1<\alpha<2$ and $b<+\infty$ by virtue of a generalized Henry-Gronwall inequality with mixed integral term. Finally, examples are given to illustrate our theory results

Three Dimensional Quantitative Structure-Activity Relationships of Sulfonamides Binding Monoclonal Antibody by Comparative Molecular Field Analysis

The three-dimensional quantitative structure-activity relationship (3D-QSAR) model of sulfonamide analogs binding a monoclonal antibody (MabSMR) produced against sulfamerazine, was carried out by comparative molecular field analysis (CoMFA). The affinities of MabSMR, expressed as Log10IC50, for 17 sulfonamide analogs were determined by competitive fluorescence polarization immunoassay (FPIA). Removal of two outliers from the initial set of 17 sulfonamide analogs improved the predictability of the models. The 3D-QSAR model of 15 sulfonamides resulted in q2cv values of 0.600, and r2 values of 0.995, respectively. This novel study combining FPIA with CoMFA demonstrates that multidisciplinary research can be used as a useful tool to investigate antigen-antibody interactions and provide information required for design of novel haptens, which may result in new antibodies with properties already optimized by an antibody-based immunoassay

Optimization and evaluation of multi-bed adsorbent tube method in collection of volatile organic compounds

The feasibility of using adsorbent tubes to collect volatile organic compounds (VOCs) has been demonstrated since the 1990&#39;s and standardized as Compendium Method TO-17 by the U.S. Environmental Protection Agency (U.S EPA). This paper investigates sampling and analytical variables on concentrations of 57 ozone (O-3) precursors (C-2-C-12 aliphatic and aromatic VOCs) specified for the Photochemical Assessment Monitoring Station (PAMS). Laboratory and field tests examined multi-bed adsorbent tubes containing a sorbate combination of Tenax TA, Carbograph 1 TD, and Carboxen 1003. Analyte stabilities were influenced by both collection tube temperature and ambient O-3 concentrations. Analytes degraded during storage, while blank levels were elevated by passive adsorption. Adsorbent tube storage under cold temperatures (- 10 degrees C) in a preservation container filled with solid silica gel and anhydrous calcium sulfate (CaSO4) ensured sample integrity. A high efficiency (&gt; 99%) O-3 scrubber (i.e., copper coil tube filled with saturated potassium iodide [KM removed O-3 (i.e., &lt; 200 ppbv) from the air stream with a sampling capacity of 30 h. Water vapor scrubbers interfered with VOC measurements. The optimal thermal desorption-gas chromatography/mass spectrometry (TD-GC/MS) desorption time of 8 min was found at 330 degrees C. Good linearity (R-2 &gt; 0.995) was achieved for individual analyte calibrations (with the exception of acetylene) for mixing ratios of 0.08-1.96 ppbv. The method detection limits (MDLs) were below 0.055 ppbv for a 3 L sample volume. Replicate analyses showed relative standard deviations (RSDs) of &lt; 10%, with the majority of the analytes within &lt; 5%

How Images Inspire Poems: Generating Classical Chinese Poetry from Images with Memory Networks

With the recent advances of neural models and natural language processing, automatic generation of classical Chinese poetry has drawn significant attention due to its artistic and cultural value. Previous works mainly focus on generating poetry given keywords or other text information, while visual inspirations for poetry have been rarely explored. Generating poetry from images is much more challenging than generating poetry from text, since images contain very rich visual information which cannot be described completely using several keywords, and a good poem should convey the image accurately. In this paper, we propose a memory based neural model which exploits images to generate poems. Specifically, an Encoder-Decoder model with a topic memory network is proposed to generate classical Chinese poetry from images. To the best of our knowledge, this is the first work attempting to generate classical Chinese poetry from images with neural networks. A comprehensive experimental investigation with both human evaluation and quantitative analysis demonstrates that the proposed model can generate poems which convey images accurately.Comment: Accepted by AAAI 201

The efficacy and safety of 5-fluorouracil/cisplatin/vincristine as a multi-agent chemotherapy regimen in gestational trophoblastic neoplasia

ObjectiveTo determine the efficacy and safety of the 5-fluorouracil (5-FU), cisplatin, and vincristine (FPV) chemotherapy regimen in patients with gestational trophoblastic neoplasia (GTN).MethodsWe performed a retrospective study of 96 GTN patients with International Federation of Gynecology and Obstetrics (FIGO) scores of 5 or greater in the Second Affiliated Hospital of Zhengzhou University from October 2013 to October 2019, including 54 patients who received FPV chemotherapy and 42 who received 5-FU/actinomycin D/vincristine (FAV) chemotherapy. A pulsed intravenous device was used to administer 5-FU. The clinical characteristics, adverse events, and response rates were compared between the groups.ResultsThe patients in the FPV and FAV groups received a total of 228 and 190 courses of chemotherapy, respectively. Complete response (CR) was found in 88.89% (48/54) and 90.48% (38/42) of patients in the FPV group and FAV group, respectively (p = 0.801). Both chemotherapy regimens yielded CR in all low-risk patients (100% vs. 100%), whereas 86.67% and 88.24% of high-risk patients achieved CR (FPV vs. FAV, p = 0.836), respectively. The most common adverse events (AEs) were myelosuppression and gastrointestinal reactions including neutropenia (83.97%), anemia (60.05%), and nausea (46.41%). In comparison to those in the FAV group, patients in the FPV group reported higher rates of grade 1/2 nausea (53.51% vs. 37.89%, p = 0.001), hepatotoxicity (28.95% vs. 17.89%, p = 0.008), oral mucositis (23.25% vs. 10.53%, p = 0.001), and grade 3/4 neutropenia (47.37% vs. 27.37%, p &lt; 0.001), while grade 1/2 diarrhea (7.46% vs. 13.68%, p = 0.037) and grade 3/4 oral mucositis (0 vs. 6.32%, p &lt; 0.001) were much more common in the FAV group. The rate of overall survival at 5 years was 96.8% in the FPV group and 97.3% in the FAV group (p = 0.760), whereas the 5-year disease-free survival rates were 95.9% and 93.9% (p = 0.754), respectively.ConclusionThe FPV and FAV regimens with pulsed intravenous 5-FU yielded comparable CR rates and tolerability in patients with GTN with FIGO scores of &gt;5. Further randomized controlled trials are warranted to validate their efficacy