Background Considering the strong attenuation of photons and the potential to increase the deposition of radiation, high-atomic number nanomaterials are often used as radiosensitizers in cancer radiotherapy, of which gold nanoparticles (GNPs) are widely used. Materials and Methods We prepared albumin-modified GNPs (Alb-GNPs) and observed their radiosensitizing effects and biotoxicity in human non-small-cell lung carcinoma tumor-bearing mice models. Results The prepared nanoparticles (Alb-GNPs) demonstrated excellent colloidal stability and biocompatibility at the mean size of 205.06 ± 1.03 nm. Furthermore, clone formation experiments revealed that Alb-GNPs exerted excellent radiosensitization, with a sensitization enhancement ratio (SER) of 1.432, which is higher than X-ray alone. Our in vitro and in vivo data suggested that Alb-GNPs enabled favorable accumulation in tumors, and the combination of Alb-GNPs and radiotherapy exhibited a relatively greater radiosensitizing effect and anti-tumor activity. In addition, no toxicity or abnormal irritating response resulted from the application of Alb-GNPs. Conclusion Alb-GNPs can be used as an effective radiosensitizer to improve the efficacy of radiotherapy with minimal damage to healthy tissues.

No abstract

No abstract

The application demand for UAV in logistics distribution is vast and its accurate and rapid path planning research has practical value. Nowadays, the RRT algorithm is one of the most popular path planning methods for UAV delivery. Although the search of RRT is fast, the planned path is generally not the optimal path. The improved RRT* algorithm improves the way, but the convergence time is long. In this paper, we proposed an improved 3d path planning method based on RRT* based on APF. We introduced gravitation and repulsion in the APF algorithm based on the RRT* algorithm in this paper, and then we added the random point generated sphere to carry out random sampling of local space. Finally, we used MATLAB to compare the simulation results of the three algorithms and verify that the improved 3d path planning algorithm is improved in the aspects of path optimization and operation time.

No abstract

Until now, the theories about the convergence analysis, the almost surely and mean square exponential stability of the numerical solution for neutral stochastic functional differential equations with Markovian switching (NSFDEwMSs) have been well established, but there are very few research works concentrating on the stability in distribution of numerical solution. This paper will pay attention to the stability in distribution of numerical solution of NSFDEwMSs. The strong mean square convergence analysis is also discussed.

In this article, the Date–Jimbo–Kashiwara–Miwa equation is extended to a new variable-coefficients equation with respect to the time variable. The infinitesimal generators are acquired by studying the Lie symmetry analysis of the equation, and the optimal system of this equation is presented. After that, the equation performed similarity reductions, and the reduced partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) with the help of traveling wave transform. Then, the exact solutions are found by applying the extended tanh-function method. Finally, the structural features of exact solutions to different times are shown with the help of images.

Впервые проведен анализ интегрируемого нелокального нелинейного уравнения Герджикова-Иванова с переменными коэффициентами, которое строится с использованием пары Лакса. На этой основе изучается преобразование Дарбу. Путем построения $2n$-кратного преобразования Дарбу получены точные решения этого уравнения. Эти результаты показывают, что решение уравнения Герджикова-Иванова с переменными коэффициентами является более общим, чем в случае постоянных коэффициентов. Выбирая конкретный вид коэффициентной функции, можно получить некоторые специальные точные решения, такие как кинковое, периодическое, бризерное решения, решение со взаимодействием двух солитонов и т. д. Эти точные решения представлены визуально с помощью графиков.