Long-time asymptotic analysis for defocusing Ablowitz-Ladik system with initial value in lower regularity

Recently, we have given the $l^2$ bijectivity for defocusing Ablowitz-Ladik systems in the discrete Sobolev space $l^{2,1}$ by inverse spectral method. Based on these results, the goal of this article is to investigate the long-time asymptotic property for the initial-valued problem of the defocusing Ablowitz-Ladik system with initial potential in lower regularity. The main idea is to perform proper deformations and analysis to the corespondent Riemann-Hilbert problem with the unit circle as the jump contour $\Sigma$. As a result, we show that when $|\frac{n}{2t}|\le 1<1$, the solution admits Zakharov-Manakov type formula, and when $|\frac{n}{2t}|\ge 1>1$, the solution decays fast to zero

(1)H, (15)N and (13)C backbone resonance assignments of the Kelch domain of mouse Keap1.

Kelch-like ECH-associated Protein 1 (Keap1) is a multi-domain protein that functions as an inhibitor of the transcription factor nuclear factor E2-related factor 2 (Nrf2) in the cellular response to oxidative stress. Under normal conditions, Keap1 binds to Nrf2 via its C-terminal Kelch domain and the interaction ultimately leads to the ubiquitin-dependent degradation of Nrf2. It has been proposed that designing molecules to selectively disrupt the Keap1-Nrf2 interaction can be a potential therapeutic approach for enhancing the expression of cytoprotective genes. Here, we reported the (1)H, (13)C, and (15)N backbone chemical shift assignments of the Kelch domain of mouse Keap1. Further, unlabeled Nrf2 peptide containing the Kelch-binding motif was added to the (15)N-labeled Kelch sample. (1)H-(15)N HSQC spectra of the protein in the absence and presence of an equimolar concentration of the Nrf2 peptide were presented. A significant number of resonance signals were shifted upon addition of the peptide, confirming the protein-peptide interaction. The results here will not just facilitate the further studies of the binding between Keap1 and Nrf2, it will also be valuable for probing interactions between the Kelch domain and small molecules, as well as a growing list of protein targets that have been identified recently

Incremental capacity curve health-indicator extraction based on gaussian filter and improved relevance vector machine for lithium–ion battery remaining useful life estimation.

Accurate prediction of the remaining useful life (RUL) of lithium–ion batteries is the focus of lithium–ion battery health management. To achieve high–precision RUL estimation of lithium–ion batteries, a novel RUL prediction model is proposed by combining the extraction of health indicators based on incremental capacity curve (IC) and the method of improved adaptive relevance vector machine (RVM). First, the IC curve is extracted based on the charging current and voltage data. To attenuate the noise effects on the IC curve, Gaussian filtering is used and the optimal filtering window is determined to remove the noise interference. Based on this, the peak characteristics of the IC curve are analyzed and four groups of health indicators are extracted, and the strong correlation between health indicators and capacity degradation is determined using Pearson correlation analysis. Then, to optimize the traditional fixed kernel parameter RVM model, an RVM regression model whose kernel parameters are optimized by the Bayesian algorithm is established. Finally, four sets of datasets under CS2 battery in the public dataset of the University of Maryland are carried out for experimental validation. The validation results show that the improved RVM model has better short–term prediction performance and long–term prediction stability, the RUL prediction error is less than 20 cycles, and the mean absolute error is less than 0.02. The performance of the improved RVM model is better than that of the traditional RVM model

Fuzzy complex formation between the intrinsically disordered prothymosin α and the Kelch domain of Keap1 involved in the oxidative stress response.

Kelch-like ECH-associated protein 1 (Keap1) is an inhibitor of nuclear factor erythroid 2-related factor 2 (Nrf2), a key transcription factor for cytoprotective gene activation in the oxidative stress response. Under unstressed conditions, Keap1 interacts with Nrf2 in the cytoplasm via its Kelch domain and suppresses the transcriptional activity of Nrf2. During oxidative stress, Nrf2 is released from Keap1 and is translocated into the nucleus, where it interacts with the small Maf protein to initiate gene transcription. Prothymosin α (ProTα), an intrinsically disordered protein, also interacts with the Kelch domain of Keap1 and mediates the import of Keap1 into the nucleus to inhibit Nrf2 activity. To gain a molecular basis understanding of the oxidative stress response mechanism, we have characterized the interaction between ProTα and the Kelch domain of Keap1 by using nuclear magnetic resonance spectroscopy, isothermal titration calorimetry, peptide array analysis, site-directed mutagenesis, and molecular dynamic simulations. The results of nuclear magnetic resonance chemical shift mapping, amide hydrogen exchange, and spin relaxation measurements revealed that ProTα retains a high level of flexibility, even in the bound state with Kelch. This finding is in agreement with the observations from the molecular dynamic simulations of the ProTα-Kelch complex. Mutational analysis of ProTα, guided by peptide array data and isothermal titration calorimetry, further pinpointed that the region (38)NANEENGE(45) of ProTα is crucial for the interaction with the Kelch domain, while the flanking residues play relatively minor roles in the affinity of binding

Molecular effects of cancer-associated somatic mutations on the structural and target recognition properties of Keap1.

Kelch-like ECH-associated protein 1 (Keap1) plays an important regulatory role in the nuclear factor erythroid 2-related factor 2 (Nrf2)-dependent oxidative stress response pathway. It functions as a repressor of Nrf2, a key transcription factor that initiates the expression of cytoprotective enzymes during oxidative stress to protect cells from damage caused by reactive oxygen species. Recent studies show that mutations of Keap1 can lead to aberrant activation of the antioxidant pathway, which is associated with different types of cancers. To gain a mechanistic understanding of the links between Keap1 mutations and cancer pathogenesis, we have investigated the molecular effects of a series of mutations (G333C, G350S, G364C, G379D, R413L, R415G, A427V, G430C and G476R) on the structural and target recognition properties of Keap1 by using nuclear magnetic resonance (NMR) spectroscopy, circular dichroism (CD) and isothermal titration calorimetry (ITC). Depending on their locations in the protein, these mutations are found to exert differential effects on the protein stability and target binding. Together with the proposed hinge-and-latch mechanism of Nrf2-Keap1 binding in the literature, our results provide important insight into the molecular affect of different somatic mutations on Keap1\u27s function as an Nrf2 repressor

The expression and antigenicity of a truncated spike-nucleocapsid fusion protein of severe acute respiratory syndrome-associated coronavirus

<p>Abstract</p> <p>Background</p> <p>In the absence of effective drugs, controlling SARS relies on the rapid identification of cases and appropriate management of the close contacts, or effective vaccines for SARS. Therefore, developing specific and sensitive laboratory tests for SARS as well as effective vaccines are necessary for national authorities.</p> <p>Results</p> <p>Genes encoding truncated nucleocapsid (N) and spike (S) proteins of <it>SARSCoV </it>were cloned into the expression vector <it>pQE30 </it>and fusionally expressed in <it>Escherichia coli </it>M15. The fusion protein was analyzed for reactivity with SARS patients' sera and with anti-sera against the two human coronaviruses <it>HCoV </it>229E and <it>HCoV </it>OC43 by ELISA, IFA and immunoblot assays. Furthermore, to evaluate the antigen-specific humoral antibody and T-cell responses in mice, the fusion protein was injected into 6-week-old BALB/c mice and a neutralization test as well as a T-cell analysis was performed. To evaluate the antiviral efficacy of immunization, BALB/c mice were challenged intranasally with <it>SARSCoV </it>at day 33 post injection and viral loads were determined by fluorescent quantitative RT-PCR. Serological results showed that the diagnostic sensitivity and specificity of the truncated S-N fusion protein derived the SARS virus were > 99% (457/460) and 100.00% (650/650), respectively. Furthermore there was no cross-reactivity with other two human coronaviruses. High titers of antibodies to <it>SRASCoV </it>appeared in the immunized mice and the neutralization test showed that antibodies to the fusion protein could inhibit <it>SARSCoV</it>. The T cell proliferation showed that the fusion protein could induce an antigen-specific T-cell response. Fluorescent quantitative RT-PCR showed that BALB/c mice challenged intranasally with <it>SARSCoV </it>at day 33 post injection were completely protected from virus replication.</p> <p>Conclusion</p> <p>The truncated S-N fusion protein is a suitable immunodiagnostic antigen and vaccine candidate.</p

A robust optimization method for new distribution systems based on adaptive data-driven polyhedral sets

In order to better describe the uncertainty of renewable energy output, this paper proposed a novel robust optimization method for new distribution systems based on adaptive data-driven polyhedral sets. First, an ellipsoidal uncertainty set was established using historical data on renewable energy output, and a data-driven convex hull polyhedral set was established by connecting high-dimensional ellipsoidal vertices; on this basis, an adaptive data-driven polyhedral set model was established to address the problem of high conservatism in the scaling process of convex hull polyhedral sets. Furthermore, a novel adaptive data-driven robust scheduling model for new distribution systems was established, and a column-and-constraint generation (C&amp;CG) algorithm was used to solve the robust scheduling model. Finally, the improved IEEE-33 bus system simulation verification shows that the robust scheduling model for new distribution systems based on adaptive data-driven polyhedral sets can reduce conservatism and improve the robustness of optimization results

Enhanced corrosion protection by Al surface immobilization of in-situ grown layered double hydroxide films co-intercalated with inhibitors and low surface energy species

Abstract(#br)In this work, a novel in-situ grown layered double hydroxide (LDH) film co-intercalated with inhibitors (vanadates) and low surface energy substance (laurates) was immobilized on Al substrates. A long-term monitoring of electrochemical impedance spectra (EIS) of the various samples in 3.5 wt.% NaCl solution demonstrated the synergetic protection of the intercalated two functional species. Meanwhile, the X-ray diffraction (XRD) result of the samples after immersion in NaCl solution for a long time presented the anion-exchange process between vanadates/laurates and chlorides. The synergetic effect of the two species loaded film significantly contributed to the enhanced long-term corrosion protection of aluminum

The Darboux transformation of the derivative nonlinear Schr\"odinger equation

The n-fold Darboux transformation (DT) is a 2\times2 matrix for the Kaup-Newell (KN) system. In this paper,each element of this matrix is expressed by a ratio of $(n+1)\times (n+1)$ determinant and $n\times n$ determinant of eigenfunctions. Using these formulae, the expressions of the $q^{[n]}$ and $r^{[n]}$ in KN system are generated by n-fold DT. Further, under the reduction condition, the rogue wave,rational traveling solution, dark soliton, bright soliton, breather solution, periodic solution of the derivative nonlinear Schr\"odinger(DNLS) equation are given explicitly by different seed solutions. In particular, the rogue wave and rational traveling solution are two kinds of new solutions. The complete classification of these solutions generated by one-fold DT is given in the table on page.Comment: 21 papge, 10 figure