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The variable coefficient KdV-Burgers (vc-KdVB) equation is widely used in many physical models. In this paper, Fourier spectral method is introduced to solve the fractional vc-KdVB equation. First, the numerical solution and the exact solution of the integer vc-KdVB equation are compared to verify the effectiveness of the present method. Furthermore, the fractional vc-KdVB equation is numerically simulated to investigate the influence of different fractional derivatives on the solution. [ABSTRACT FROM AUTHOR]

The objective of this study is to characterize the association between platelet to albumin ratio (PAR) and disease activity in patients with ankylosing spondylitis (AS) and axial psoriatic arthritis (axPsA). Baseline platelet count, albumin, PAR, C-reactive protein (CRP), erythrocyte sedimentation rate (ESR), Bath ankylosing spondylitis disease index (BASDAI), Bath ankylosing spondylitis functional index (BASFI), and ankylosing spondylitis disease activity score (ASDAS) were collected from patients with a definitive diagnosis of AS or axPsA. Spearman's correlation analysis, quantile regression, and receiver operating characteristic (ROC) curves were performed. Four hundred forty-six patients with AS and 68 patients with axPsA were included. AS patients had higher CRP, ASDAS-CRP, and ASDAS-ESR than axPsA patients (median: CRP, 6.8 vs. 3.5 mg/L, p = 0.02; ASDAS-CRP, 2.32 vs.1.93, p = 0.001; ASDAS-ESR, 2.57 vs.1.97, p = 0.007; respectively). Platelet count, albumin, PAR, ESR, BASDAI, and BASFI did not significantly differ between the two populations (all p > 0.05). In AS patients, PAR was positively correlated with BASDAI (r = 0.204, p < 0.01), BASFI (r = 0.24, p < 0.01), ASDAS-CRP (r = 0.475, p < 0.01), and ASDAS-ESR (r = 0.483, p < 0.01), while these coefficients were not significant in axPsA patients. The quantile regression further confirmed that, in AS patients, PAR was independently associated with BASDAI, BASFI, ASDAS-CRP, and ASDAS-ESR at their individual quantiles (all p < 0.01). However, in axPsA patients, PAR was not significantly associated with these disease activities. The optimal cut-off value of PAR for AS disease activity was 5.87, with an AUC of 0.745, a sensitivity of 72.4%, and a specificity of 71%. PAR could serve as an alternative indicator for AS disease activity. Key Points • Platelet to albumin ratio is independently associated with ankylosing spondylitis disease activity. • Platelet to albumin ratio could serve as an alternative indicator for ankylosing spondylitis disease activity. [ABSTRACT FROM AUTHOR]

The chemotaxis-Navier—Stokes system { n t + u ⋅ ∇ n = Δ n − ∇ ⋅ (n ∇ c) , c t + u ⋅ ∇ c = Δ c − n c , u t + (u ⋅ ∇) u = Δ u + ∇ P + n ∇ ϕ , ∇ ⋅ u = 0 is considered in a smoothly bounded planar domain Ω under the boundary conditions (∇ n − n ∇ c) ⋅ ν = 0 , c = c ∗ , u = 0 , x ∈ ∂ Ω , t > 0 , with a given nonnegative constant C✭. It is shown that if (n0, c0, u0) is sufficiently regular and such that the product ‖ n 0 ‖ L 1 (Ω) ‖ c 0 ‖ L ∞ (Ω) 2 is suitably small, an associated initial value problem possesses a bounded classical solution with (n, c, u)|t=0 = (n0, c0, u0). [ABSTRACT FROM AUTHOR]

Alzheimer’s disease (AD) is an irreversible neurodegenerative brain disorder with complex pathogenesis. Emerging evidence indicates that there is a tight relationship between mitochondrial dysfunction and β-amyloid (Aβ) formation. 2,3,5,4′-Tetrahydroxystilbene-2-O-β-D-glucoside (TSG) is one of the main active components extracted from Polygonum multiflorum. The purpose of the present study was to investigate the effects of TSG on Aβ production and neurotrophins in the brains of rats by using a mitochondrial dysfunction rat model induced by sodium azide (NaN3), an inhibitor of mitochondrial cytochrome c oxidase (COX). NaN3 was administered to rats by continuous subcutaneous infusion for 28 days via implanted osmotic minipumps to establish the animal model. TSG was intragastrically administered starting 24 h after the operation. The activity of mitochondrial COX was measured by a biochemical method. The content of Aβ 1-42 was detected by ELISA. The expression of neurotrophic factors was determined by Western blot and immunohistochemistry. The results showed that NaN3 infusion for 28 days induced a decrease in mitochondrial COX activity, an increase in Aβ 1-42 content and the expression of amyloidogenic β-amyloid precursor protein (APP), beta-site APP cleaving enzyme 1 (BACE1) and presenilin 1 (PS1), and a decline in the expression of neurotrophins in the hippocampus of rats. Intragastrical administration of TSG elevated mitochondrial COX activity, decreased Aβ 1-42 content and the expression of APP, BACE1 and PS1, and enhanced the expression of nerve growth factor, brain-derived neurotrophic factor (BDNF) and its receptor tropomyosin-related kinase B (TrkB) in the hippocampus of NaN3-infused rats. These findings suggest that TSG may be beneficial in blocking or slowing the progression of AD by enhancing mitochondrial function, decreasing Aβ production and increasing neurotrophic factors at some extent. [ABSTRACT FROM AUTHOR]

Although Butylphthalide (BP) has protective effects that reduce ischemia-induced brain damage and neuronal cell death, little is known about the precise mechanisms occurring during cerebral ischemia/reperfusion (I/R). Therefore, the aim of this study was to investigate the neuroprotective mechanisms of BP against ischemic brain injury induced by cerebral I/R through inhibition of the c-Jun N-terminal kinase (JNK)-Caspase3 signaling pathway. BP in distilled non-genetically modified Soybean oil was administered intragastrically three times a day at a dosage of 15 mg/(kg day) beginning at 20 min after I/R in Sprague-Dawley rats. Immunohistochemical staining and Western blotting were performed to examine the expression of related proteins, and TUNEL-staining was used to detect the percentage of neuronal apoptosis in the hippocampal CA1 region. The results showed that BP could significantly protect neurons against cerebral I/R-induced damage. Furthermore, the expression of p-JNK, p-Bcl2, p-c-Jun, FasL, and cleaved-caspase3 was also decreased in the rats treated with BP. In summary, our results imply that BP could remarkably improve the survival of CA1 pyramidal neurons in I/R-induced brain injury and inhibit the JNK-Caspase3 signaling pathway. [ABSTRACT FROM AUTHOR]

Background: Recent studies indicate that consumption of the different calorie diet may be an important way to accelerate or slow the neurodegenerative disorder related to age. Long-term consumption of a high-calorie diet affects the brain and increase the risk of neurodegenerative disorders. And consumption of a low-calorie diet (caloric restriction, CR) could delay aging, and protect the central nervous system from neurodegenerative disorders. The underlying mechanisms have not yet been clearly defined. Method: Thirty 6-week-old C57/BL6 mice were randomly assigned to a NC group (fed standard diet, n = 10), a CR group (fed a low-calorie diet, n = 10) or a HC group (fed a high-calorie diet, n = 10) for 10 months. Body weight was measured monthly. Learning and memory capacity were determined by Morris water maze. Pathological changes of the hippocampus cells were detected with HE and Nissl staining. The expression of GFAP was determined by immunofluorescence and western blot. The expression of mTOR, S6K and LC3B in the hippocampus was determined by immunofluorescence. Results: After feeding for 10 months, compared with mice in the NC group, mean body weight was significantly higher in the HC group and significantly lower in the CR group. The result of Morris water maze showed that compared with mice in the NC group, the learning and memory capacity was significantly increased in the CR group, and significantly decreased in the HC group. HE and Nissl staining of the hippocampus showed cells damaged obviously in the HC group. In the hippocampus, the expression of GFAP, mTOR and S6K was increased in the HC group, and decreased in the CR group. The expression of LC3B was decreased in the HC group, and increased in the CR group. Conclusions: Long-term consumption of a high-calorie diet could inhibit autophagy function, and facilitate neuronal loss in the hippocampus, which in turn aggravate age-related cognition impairment. And consumption of a low-calorie diet (caloric restriction, CR) could enhance the degree of autophagy, protect neurons effectively against aging and damage, and keep learning and memory capacity better. [ABSTRACT FROM AUTHOR]

How to solve the partial differential equation has been attached importance to by all kinds of fields. The exact solution to a class of partial differential equation with variable-coefficient is obtained in reproducing kernel space. For getting the approximate solution, give an iterative method, convergence of the iterative method is proved. The numerical example shows that our method is effective and good practicability. [ABSTRACT FROM AUTHOR]

We compared the immunity induced by tumor cells modified with UV-inactivated purified vaccinia virus (UV-VV) and with live purified vaccinia virus (L-VV). C3H/HeN mice were inoculated i.p. with UV-VV or L-VV after whole-body irradiation with 150 rads of X-rays (priming). After 3 weeks the mice were immunized i.p. 3 times at weekly intervals with syngeneic X5563 or MH134 cells that had been adsorbed in vitro with UV-VV or infected with L-VV and subsequently irradiated with 10 rads of X-rays. Then 1 week after the last immunization, the mice were challenged s.c. with X5563 viable tumor cells or challenged i.p. with MH134 viable tumor cells. The 50% lethal dose (TLD) of X5563 in mice primed and immunized with UV-VV (UV-VV group) on s.c. challenge (10) was the same as for mice treated with L-VV (L-VV group), whereas the TLD of unprimed or nonimmunized mice (control group) was 10. The TLD of MH134 in the UV-VV treated group on i.p. challenge (10) was similar to that of the L-VV treated group (10), while the TLD of the control group was 10. The difference between the TLD values of X5563 on s.c. challenge of mice primed and immunized with UV-VV or L-VV and control mice was 10. The difference between the TLD values of MH134 on i.p. challenge of primed and immunized mice and control mice was 10. These results indicate that the in vivo helper function of UV-VV is similar to that of L-VV and that the augmenting effect of this protocol depends on the kind of tumor. [ABSTRACT FROM AUTHOR]