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91.
The periodic solution bifurcated from homoclinic orbit for coupled ordinary differential equations 下载免费PDF全文
We consider the problem of the periodic solutions bifurcated from a homoclinic orbit for a pair of coupled ordinary differential equations in . Assume that the autonomous system has a degenerate homoclinic solution γ in . A functional analytic approach is used to consider the existence of periodic solution for the autonomous system with periodic perturbations. By exponential dichotomies and the method of Lyapunov–Schmidt, the bifurcation function defined between two finite dimensional subspaces is obtained, where the zeros correspond to the existence of periodic solutions for the coupled ordinary differential equations near . Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
92.
Mohsen Miraoui 《Mathematical Methods in the Applied Sciences》2017,40(13):4716-4726
In this article, a new approach for pseudo almost periodic solution under the measure theory, under Acquistpace‐Terreni conditions. We make extensive use of interpolation spaces and exponential dichotomy techniques to obtain the existence of μ‐pseudo almost periodic solutions to some classes of nonautonomous partial evolution equations. For illustration, we propose some application to a nonautonomous heat equation. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
93.
Positive ground state of coupled systems of Schrödinger equations in
involving critical exponential growth 下载免费PDF全文
João Marcos do Ó José Carlos de Albuquerque 《Mathematical Methods in the Applied Sciences》2017,40(18):6864-6879
In this paper, we study the existence of a positive ground state solution to the following coupled system of nonlinear Schrödinger equations: where the nonlinearities f1(x,s) and f2(x,s) are superlinear at infinity and have exponential critical growth of the Trudinger‐Moser type. The potentials V1(x) and V2(x) are nonnegative and satisfy a condition involving the coupling term λ(x), namely, λ(x)2<δ2V1(x)V2(x) for some 0<δ<1. For this purpose, we use the minimization technique over the Nehari manifold and strong maximum principle to get a positive ground state solution. Moreover, by using a bootstrap argument and Lq‐estimates, we get regularity and asymptotic behavior. 相似文献
94.
In this paper,it is shown that for a 3-dimensional small cover M over a polytope P,there are only 2-torsions in H1(M;Z).Moreover,the mod 2 Betti number growth of finite covers of M is studied. 相似文献
95.
Koonchira Buaban Weerachai Phutdhawong Thongchai Taechowisan Waya S. Phutdhawong 《Molecules (Basel, Switzerland)》2021,26(1)
A series of tetrahydro-ß-carbolines substituted with an alkyl or acyl side chain was synthesized and screened for its antifungal activity against plant pathogenic fungi (Bipolaris oryzae, Curvularia lunata, Fusarium semitectum, and Fusarium fujikuroi). The structure activity relationship revealed that the substituent at the piperidine nitrogen plays an important role for increasing antifungal activities. In this series, 2-octyl-2,3,4,9-tetrahydro-1H-pyrido[3,4-b]indole (3g) displayed potent antifungal activities with a minimum inhibitory concentration of 0.1 μg/mL, including good inhibitory activity to the radial growth of fungus at a concentration of 100 μg/mL compared to amphotericin B. 相似文献
96.
本研究旨在分析脑胶质瘤患者的磁共振弥散张量成像(DTI)参数与病变组织血管内皮生长因子(VEGF)和基质金属蛋白酶-9(MMP-9)表达的相关性,以及DTI参数对脑胶质瘤进行分级诊断的价值。根据病理分级将102例脑胶质瘤患者分为低级别组(47例)和高级别组(55例),均行MRI和DTI检查,定量测定表观弥散系数(ADC)、各向异性分数(FA)、相对ADC(rADC)、相对FA(rFA)值及相对轴向扩散系数(rAD)值;用免疫组化法检测VEGF和MMP-9表达情况。结果显示,高级别组患者的rADC、ADC、rAD、FA、rFA均低于低级别组(P<0.05);高级别组患者的VEGF和MMP-9阳性表达均高于低级别组(P<0.05)。rADC、ADC、rAD、FA、rFA与VEGF和MMP-9表达均呈负相关(P<0.05);rADC、ADC、rAD、FA、rFA对脑胶质瘤分级诊断的AUC均具有一定诊断价值(P<0.05)。本研究结果提示DTI定量参数与脑胶质瘤VEGF和MMP-9表达具有相关性,且有助于脑胶质瘤的分级诊断。 相似文献
97.
本研究选取了分化型甲状腺癌(DTC)患者106例为甲状腺癌组,同期106例甲状腺腺瘤患者为甲状腺腺瘤组,检测比较了两组患者的超声弹性成像参数(弹性比值、蓝色面积比值)、血清中期因子(midkine,MK)、血管内皮生长因子(VEGF)水平。研究结果发现,弹性比值、蓝色面积比值、血清MK和VEGF水平与DTC患者淋巴结转移、包膜侵犯、临床分期相关(P<0.05);弹性比值、蓝色面积比值、血清MK和VEGF水平联合诊断DTC的曲线下面积(AUC)为0.888;弹性比值、蓝色面积比值、血清MK及VEGF水平与DTC患者组织中趋化因子受体(CXCR)4、解聚素金属蛋白酶(ADAM)9、靶向Xklp2靶蛋白(TPX2)基因表达量呈正相关,与程序性细胞死亡因子(PDCD)4基因表达量呈负相关。这些结果提示超声弹性成像参数、血清MK及VEGF水平上调可能用来评估DTC患者病情程度及肿瘤恶性程度,三者联合对DTC具有可靠诊断价值,可为临床诊治提供参考。 相似文献
98.
Sangeeta Chandrashekar Raman Vijayakumar Ramachandran Chelliah Eric Banan-Mwine Daliri Inamul Hasan Madar Ghazala Sultan Momna Rubab Fazle Elahi Su-Jung Yeon Deog-Hwan Oh 《Molecules (Basel, Switzerland)》2021,26(7)
The study aimed to investigate the antibacterial activity of Mustard (Brassica juncea) and Moringa (Moringa oleifera) leaf extracts and coagulant protein for their potential application in water treatment. Bacterial cell aggregation and growth kinetics studies were employed for thirteen bacterial strains with different concentrations of leaf extracts and coagulant protein. Moringa oleifera leaf extract (MOS) and coagulant protein showed cell aggregation against ten bacterial strains, whereas leaf extract alone showed growth inhibition of five bacterial strains for up to 6 h and five bacterial strains for up to 3 h. Brassica juncea leaf extract (BJS) showed growth inhibition for up to 6 h, and three bacterial strains showed inhibition for up to 3 h. The highest inhibition concentration with 2.5 mg/mL was 19 mm, and furthermore, the minimum inhibitory concentration (MIC) (0.5 mg/mL) and MBC (1.5 mg/mL) were determined to have a higher antibacterial effect for <3 KDa peptides. Based on LCMS analysis, napin was identified in both MOS and BJS; furthermore, the mode of action of napin peptide was determined on lipoprotein X complex (LpxC) and four-chained structured binding protein of bacterial type II topoisomerase (4PLB). The docking analysis has exhibited moderate to potent inhibition with a range of dock score −912.9 Kcal/mol. Thus, it possesses antibacterial-coagulant potential bioactive peptides present in the Moringa oleifera purified protein (MOP) and Brassica juncea purified protein (BJP) that could act as an effective antimicrobial agent to replace currently available antibiotics. The result implies that MOP and Brassica juncea purified coagulant (BJP) proteins may perform a wide degree of antibacterial functions against different pathogens. 相似文献
99.
Yi-Chun Lin Yuan-Yung Lin Hsin-Chien Chen Chao-Yin Kuo Ai-Ho Liao Ying-Liang Chou Chia-Lien Hung Cheng-Ping Shih Chih-Hung Wang 《Molecules (Basel, Switzerland)》2021,26(12)
The application of insulin-like growth factor 1 (IGF-1) to the round window membrane (RWM) is an emerging treatment for inner ear diseases. RWM permeability is the key factor for efficient IGF-1 delivery. Ultrasound microbubbles (USMBs) can increase drug permeation through the RWM. In the present study, the enhancing effect of USMBs on the efficacy of IGF-1 application and the treatment effect of USMB-mediated IGF-1 delivery for noise-induced hearing loss (NIHL) were investigated. Forty-seven guinea pigs were assigned to three groups: the USM group, which received local application of recombinant human IGF-1 (rhIGF-1, 10 µg/µL) following application of USMBs to the RWM; the RWS group, which received IGF-1 application alone; and the saline-treated group. The perilymphatic concentration of rhIGF-1 in the USM group was 1.95- and 1.67- fold of that in the RWS group, 2 and 24 h after treatment, respectively. After 5 h of 118 dB SPL noise exposure, the USM group had the lowest threshold shift in auditory brainstem response, least loss of cochlear outer hair cells, and least reduction in the number of synaptic ribbons on postexposure day 28 among the three groups. The combination of USMB and IGF-1 led to a better therapeutic response to NIHL. Two hours after treatment, the USM group had significantly higher levels of Akt1 and Mapk3 gene expression than the other two groups. The most intense immunostaining for phosphor-AKT and phospho-ERK1/2 was detected in the cochlea in the USM group. These results suggested that USMB can be applied to enhance the efficacy of IGF-1 therapy in the treatment of inner ear diseases. 相似文献
100.
Tamar Nicole Soussana Dr. Haim Weissman Prof. Boris Rybtchinski Prof. Ran Drori 《Chemphyschem》2021,22(21):2182-2189
The mechanism by which safranine O (SFO), an ice growth inhibitor, halts the growth of single crystal tetrahydrofuran (THF) clathrate hydrates was explored using microfluidics coupled with cold stages and fluorescence microscopy. THF hydrates grown in SFO solutions exhibited morphology changes and were shaped as truncated octahedrons or hexagons. Fluorescence microscopy and microfluidics demonstrated that SFO binds to the surface of THF hydrates on specific crystal planes. Cryo-TEM experiments of aqueous solutions containing millimolar concentrations of SFO exhibited the formation of bilayered lamellae with an average thickness of 4.2±0.2 nm covering several μm2. Altogether, these results indicate that SFO forms supramolecular lamellae in solution, which might bind to the surface of the hydrate and inhibit further growth. As an ice and hydrate inhibitor, SFO may bind to the surface of these crystals via ordered water molecules near its amine and methyl groups, similar to some antifreeze proteins. 相似文献