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      • Nonequilibrium dressing in a cavity with a movable reflecting mirror

        Armata, Federico,Kim, M. S.,Butera, Salvatore,Rizzuto, Lucia,Passante, Roberto American Physical Society 2017 Physical Review D Vol.96 No.4

        <P>We consider a movable mirror coupled to a one-dimensional massless scalar field in a cavity. Both the field and the mirror's mechanical degrees of freedom are described quantum mechanically, and they can interact with each other via the radiation pressure operator. We investigate the dynamical evolution of mirror and field starting from a nonequilibrium initial state, and their local interaction which brings the system to a stationary configuration for long times. This allows us to study the time-dependent dressing process of the movable mirror interacting with the field, and its dynamics leading to a local equilibrium dressed configuration. Also, in order to explore the effect of the radiation pressure on both sides of the movable mirror, we generalize the effective field-mirror Hamiltonian and previous results to the case of two cavities sharing the same mobile boundary. This leads us to address, in the appropriate limit, the dynamical dressing problem of a single mobile wall, bounded by a harmonic potential, in the vacuum space.</P>

      • SCIESCOPUSKCI등재

        ON ERDŐS CHAINS IN THE PLANE

        Passant, Jonathan Korean Mathematical Society 2021 대한수학회보 Vol.58 No.5

        Let P be a finite point set in ℝ<sup>2</sup> with the set of distance n-chains defined as ∆<sub>n</sub>(P) = {(|p<sub>1</sub> - p<sub>2</sub>|, |p<sub>2</sub> - p<sub>3</sub>|, …, |p<sub>n</sub> - p<sub>n+1</sub>|) : p<sub>i</sub> ∈ P}. We show that for 2 ⩽ n = O<sub>|P|</sub>(1) we have ${\mid}{\Delta}_n(P){\mid}{\gtrsim}{\frac{{\mid}P{\mid}^n}{{\log}^{\frac{13}{2}(n-1)}{\mid}P{\mid}}}$. Our argument uses the energy construction of Elekes and a general version of Rudnev's rich-line bound implicit in [28], which allows one to iterate efficiently on intersecting nested subsets of Guth-Katz lines. Let G is a simple connected graph on m = O(1) vertices with m ⩾ 2. Define the graph-distance set ∆<sub>G</sub>(P) as ∆<sub>G</sub>(P) = {(|p<sub>i</sub> - p<sub>j</sub>|)<sub>{i,j}∈E(G)</sub> : p<sub>i</sub>, p<sub>j</sub> ∈ P}. Combining with results of Guth and Katz [17] and Rudnev [28] with the above, if G has a Hamiltonian path we have ${\mid}{\Delta}_G(P){\mid}{\gtrsim}{\frac{{\mid}P{\mid}^{m-1}}{\text{polylog}{\mid}P{\mid}}}$.

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        Empagliflozin mitigates type 2 diabetes-associated peripheral neuropathy: a glucose-independent effect through AMPK signaling

        Noha F. Abdelkader,Marawan A. Elbaset,Passant E. Moustafa,Sherehan M. Ibrahim 대한약학회 2022 Archives of Pharmacal Research Vol.45 No.7

        Diabetic peripheral neuropathy (DPN) representsa severe microvascular condition that dramatically affectsdiabetic patients despite adequate glycemic control, resultingin high morbidity. Thus, recently, anti-diabetic drugsthat possess glucose-independent mechanisms attractedattention. This work aims to explore the potentiality of theselective sodium-glucose cotransporter-2 inhibitor, empagliflozin (EMPA), to ameliorate streptozotocin-induced DPNin rats with insight into its precise signaling mechanism. Rats were allocated into four groups, where control animalsreceived vehicle daily for 2 weeks. In the remaining groups,DPN was elicited by single intraperitoneal injections offreshly prepared streptozotocin and nicotinamide (52.5 and50 mg/kg, respectively). Then EMPA (3 mg/kg/p.o.) wasgiven to two groups either alone or accompanied with theAMPK inhibitor dorsomorphin (0.2 mg/kg/i.p.). Despite thenon-significant anti-hyperglycemic effect, EMPA improvedsciatic nerve histopathological alterations, scoring, myelination,nerve fibers’ count, and nerve conduction velocity. Moreover, EMPA alleviated responses to different nociceptivestimuli along with improved motor coordination. EMPAmodulated ATP/AMP ratio, upregulated p-AMPK whilereducing p-p38 MAPK expression, p-ERK1/2 and consequentlyp-NF-κB p65 as well as its downstream mediators (TNF-α and IL-1β), besides enhancing SOD activity andlowering MDA content. Moreover, EMPA downregulatedmTOR and stimulated ULK1 as well as beclin-1. Likewise,EMPA reduced miR-21 that enhanced RECK, reducingMMP-2 and -9 contents. EMPA’s beneficial effects werealmost abolished by dorsomorphin administration. In conclusion,EMPA displayed a protective effect against DPNindependently from its anti-hyperglycemic effect, probablyvia modulating the AMPK pathway to modulate oxidativeand inflammatory burden, extracellular matrix remodeling,and autophagy.

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