Conditional Lie–Bäcklund symmetries and functionally generalized separable solutions to the generalized porous medium equations with source

AbstractThe functionally generalized separable solutions of the generalized porous medium equations with power law and exponential diffusivity are studied by using the conditional Lie–Bäcklund symmetry method. The variant forms of the considered equations, which admit the linear conditional Lie–Bäcklund symmetries, are identified. A number of examples are considered and some exact solutions, defined on the polynomial, trigonometric and exponential invariant subspaces determined by the linear conditional Lie–Bäcklund symmetries, are constructed

Mixed state branching evolution for cell division models

We prove a scaling limit theorem for two-type Galton-Waston branching processes with interaction. The limit theorem gives rise to a class of mixed state branching processes with interaction using to simulate the evolution for cell division affected by parasites. Such process can also be obtained by the pathwise unique solution to a stochastic equation system. Moreover, we present sufficient conditions for extinction with probability one and the exponential ergodicity in the total variation distance of such process

Well-posedness of the martingale problem for super-Brownian motion with interactive branching

In this paper a martingale problem for super-Brownian motion with interactive branching is derived. The uniqueness of the solution to the martingale problem is obtained by using the pathwise uniqueness of the solution to a corresponding system of SPDEs with proper boundary conditions. The existence of the solution to the martingale problem and the local H\"{o}lder continuity of the density process are also studied

FEM Analysis of Spring-backs in Age Forming of Aluminum Alloy Plates

AbstractThe age forming technology, characterized by huge spring-backs, has been developed to manufacture large integral wing-skin panel parts, which necessitates devising a method of predicting spring-backs. A 7B04-T7451 aluminum alloy creep test in tension is accomplished at 155 °C, and the creep curves are obtained. The material constants of the mechanism-based creep constitutive equations are determined through experiments. The age forming process and the spring-backs of 7B04 aluminum alloy plates are analyzed using the commercial finite element software ABAQUS. The effects of plate thickness and forming time on spring-backs are researched. The spring-backs decrease with the increase of plate thickness and forming time. The test results verify the reliability of the finite element method (FEM) analysis

Down-regulation of F-actin and paxillin by N-(3-(1Htetrazol- 1-yl)phenyl) isonicotinamide derivative inhibits proliferation of prostate cancer cells

Purpose: To investigate the effect of N-(3-(1H-tetrazol-1-yl)phenyl) isonicotinamide derivative (TPIN) on prostate cancer cells, and the mechanism involved.Methods: The cytotoxicity of TPIN in DU145 and PC3 cells was determined using Cell Counting Kit-8, while apoptosis induction was assayed by flow cytometry using Annexin V-fluorescein isothiocyanate dye. Changes in expressions of F-actin, RAC-α and paxillin were determined by western blot assay.Results: Cell proliferation was effectively inhibited by TPIN in the concentration range of 0.75-15 μM. The values of half-minimum inhibitory concentration (IC50) of TPIN for DU145 and PC3 cells at 48 h were 5.6 and 10.2 μM, respectively (p < 0.05). Treatment with 5.6 μM TPIN increased apoptosis to 59.64 % in DU145 cells, and 54.21% in PC3 cells. Cleaved caspase-3 and caspase-9 levels were increased by TPIN treatment in both cell lines (p < 0.05). Moreover, the levels of F-actin and paxillin were significantly downregulated by TPIN treatment in DU145 and PC3 cells (p < 0.05). In TPIN-treated DU145 and PC3 cells, cofilin-1expression was up-regulated, relative to control cells.Conclusion: TPIN exhibits cytotoxic effect on prostate cancer cells via activation of apoptosis. It elevates cofilin-1 and the expressions of targets F-actin and paxillin in prostate cancer cells. Thus, TPIN is a potential chemotherapeutic agent for prostate cancer. However, further investigations, including clinical trials are required to authenticate these findings. Keywords: Prostate cancer, F-actin, Paxillin, Apoptosis, Caspase

Panoptic Scene Graph Generation with Semantics-prototype Learning

Panoptic Scene Graph Generation (PSG) parses objects and predicts their relationships (predicate) to connect human language and visual scenes. However, different language preferences of annotators and semantic overlaps between predicates lead to biased predicate annotations in the dataset, i.e. different predicates for same object pairs. Biased predicate annotations make PSG models struggle in constructing a clear decision plane among predicates, which greatly hinders the real application of PSG models. To address the intrinsic bias above, we propose a novel framework named ADTrans to adaptively transfer biased predicate annotations to informative and unified ones. To promise consistency and accuracy during the transfer process, we propose to measure the invariance of representations in each predicate class, and learn unbiased prototypes of predicates with different intensities. Meanwhile, we continuously measure the distribution changes between each presentation and its prototype, and constantly screen potential biased data. Finally, with the unbiased predicate-prototype representation embedding space, biased annotations are easily identified. Experiments show that ADTrans significantly improves the performance of benchmark models, achieving a new state-of-the-art performance, and shows great generalization and effectiveness on multiple datasets