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    Fractal Rosenau–Burgers equation

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    This paper begins with a concise summary of fractal calculus, laying out the foundational concepts necessary for further analysis. We then introduce the fractal Rosenau–Burgers equation and present its analytical solution. Perturbation methods for solving this nonlinear fractal differential equation are developed and examined in detail. Building upon this framework, we investigate practical applications such as signal propagation in fractal transmission lines and transport phenomena in porous and fractal media. Additionally, we provide graphical illustrations of the solutions to demonstrate the effects of fractal spatial and temporal dimensions on these models

    Within- and Between-Subject biological variation estimates of serum free light immunoglobulin chains in healthy individuals in Turkey

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    Serum light immunoglobulin chains (LCs) are critical biomarkers for the diagnosis, prognosis, and treatment response monitoring in monoclonal plasma cell dyscrasias. Robust performance standards based on biological variation (BV) data are essential for optimizing patient care. This study aimed to provide updated BV estimates for serum free LCs (κ and λ) as well as their κ/λ LC ratio. Serum samples from 25 healthy volunteers (10 men, 15 women) were collected weekly over approximately 9 weeks. Serum free LCs were measured in duplicate using the Roche Cobas c501 analyzer. BV estimates with 95 % confidence intervals were calculated using coefficient of variation (CV) in ANOVA for the entire group and by sex, following assessments for outliers, normality, steady-state conditions, and variance homogeneity. The within-subject BV (CVI) estimates were 9.2 %, 8.6 %, 6.6 % for free κ, free λ, free κ/λ ratio, respectively. The between-subject BV (CVG) estimates were 24.6 %, 26.6 %, and 17.5 %for free κ, free λ and free κ/λ ratio, respectively. No significant sex differences were observed for CVI with the exception of free κ and free κ/λ ratio or CVG in serum free LCs and their ratio. Free LCs and their κ/λ ratio exhibited marked individuality. Analytical performance specifications (APSs) for desirable imprecision and bias ranged 3.9 %–5.4 %, 4.3 %–5.8 % and 2.9 %–4.6 % for free κ, free λ and free κ/ λ ratio, respectively. This study provides updated, well-characterized BV estimates for serum free (κ and λ) and free κ/λ ratio, providing essential data to define APSs. The individuality of κ and λ underscores the importance of prioritizing reference change values over traditional reference intervals for improved diagnosis and monitoring in clinical practice

    The Effect of Hydroxyapatite Fraction in Titanium-Hydroxyapatite Composite Coatings on Ti-6Al-4V Alloy With TIG Cladding

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    In this study, Hydroxyapatite (HA) modified HA-Ti composite coatings were applied to the surface of the Ti-6Al-4V (Ti64) alloy, which is crucial for biomedical applications, using the TIG cladding method. HA fraction caused a notable decrease in adhesion strength and ductility; however, the 5% HA composition maintained mechanical integrity while providing biological advantages. Surface contact angle measurements showed that HA addition made the surfaces more hydrophilic, with the lowest contact angle (~58°) observed in the 10%HA coating, which suggests improved interaction with biological fluids, cell adhesion, and protein adsorption. Electrochemical test results indicated that the 10% HA coatings exhibited the highest corrosion resistance and the most stable oxide film behavior. In immersion tests conducted in simulated body fluid (SBF), significant Ca-P deposition was observed on the 10% HA surfaces, supporting their high bioactivity potential. Overall, the results demonstrate that HA-reinforced Ti composite coatings produced through TIG welding are highly promising candidates for surface modification of biomedical implants, offering both structural and biological functionality.</div

    ÇİFTLERİN EĞİTİMSEL EŞLEŞMELERİ VE DOĞURGANLIK ARASINDAKİ İLİŞKİ: TÜRKİYE ÖRNEĞİNDEN BULGULAR

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    This study aims to examine the relationship between couples’ educational pairings and fertility outcomes by using 2018 TDHS data and the GPRM model. Our findings show that couples’ educational pairings are closely associated with fertility outcomes. The fertility outcomes differ significantly across the subcategories of educational homogamy, hypergamy, and hypogamy. For homogamous couples, we find that those with medium-medium and high-high educational pairings are less likely to have children than those with low-low educational pairings. Additionally, it is revealed that hypergamous and hypogamous couples with high-medium educational pairings have lower fertility outcomes compared to homogamous couples with low-low educational pairings.</p

    A novel PVC-membrane potentiometric sensor based on molecularly imprinted polymer for the determination of rhodamine B

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    A rhodamine B (RH-B)-imprinted functional polymer was synthesized by free radical polymerization, utilizing RH-B as the template, methacrylic acid as the functional monomer, and ethyleneglycol dimethylacrylate as the cross-linker. The synthesized RH-B-imprinted polymer was characterized by FT-IR measurements. A novel RH-B-selective potentiometric poly(vinyl chloride) (PVC) membrane sensor was fabricated using this newly synthesized RH-B-imprinted functional polymer as the ionophore. Membrane optimization studies revealed that the most satisfactory membrane composition, yielding the best potentiometric parameters, comprised 32.0% (w/w) PVC, 64.0% (w/w) dibutyl phthalate, 3.0% (w/w) RH-B-imprinted polymer, and 1.0% (w/w) potassium tetrakis(4-chlorophenyl)borate. Further investigations into the potentiometric performance characteristics of the optimum composition demonstrated that the sensor exhibited a linear response to RH-B within the concentration range of 1.0 × 10–7 to 1.0 × 10–2 M with a detection limit of 1.0 × 10–8 M and a near Nernstian slope of 67.37 mV/decade. The sensor’s analytical proficiency was evidenced by its precise quantification of RH-B in RH-B-spiked rose-water samples, resulting in satisfactory recovery rates

    The effect of hesperidin on trigeminal nerve damage in an NTGinduced migraine model: the role of the TRPV1 channel

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    AbstractBackground Migraine is a common neurovascular disease associated with trigeminovascular activation and neurogenic inflammation. The transient receptor potential vanilloid-1 (TRPV1) channel plays a central role in nociceptive signalling, while hesperidin (HES), a citrus flavonoid, is known for its antioxidant and neuroprotective properties. This study evaluated the protective effects of HES on TRPV1-mediated pathways in the trigeminal nerve (TGN) in a nitroglycerin (NTG)-induced migraine model.Methods C57BL/6j mice were randomly assigned to control, NTG, HES +NTG, capsazepine (CPZ) +NTG, and HES+CPZ +NTG groups. Migraine-like pain was induced with NTG (10 mg/kg, i.p.), while HES (200 mg/kg, gavage, 3 days) and CPZ (1 mg/kg, i.p.) were administered as treatments. Behavioral nociceptive assays (tail withdrawal, paw withdrawal, hot plate tests) were performed. The TGN was removed after the mice were killed sacrificed under anesthesia. Substance P, CGRP, BDNF, GSH, MDA, IL-1β, TNF-α, caspase-3, caspase-9, and TRPV1 levels in the TGN were analyzed by an ELISA kit. TRPV1 channel expression was measured in the TGN by western blot analysis. Also, TGN were evaluated histopathologically.Results NTG significantly induced hyperalgesia, oxidative stress, inflammatory cytokine release, apoptotic activation, and increased TRPV1. HES and CZP treatment significantly attenuated these changes, prolonging nociceptive thresholds, restoring antioxidant defences, suppressing neuropeptides, down-regulating TRPV1, and preserving neuronal morphology. Conclusions HES treatment and TRPV1 channel inhibition offer a potential therapeutic opportunity for preventive and therapeutic strategies in the treatment of migraine. </p

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