• Title/Summary/Keyword: EoP

Search Result 361, Processing Time 0.012 seconds

Infinite Families of Congruences for Partition Functions ${\bar{\mathfrak{EO}}}$(n) and ${\mathfrak{EO}}_e$(n)

  • Riyajur Rahman;Nipen Saikia
    • Kyungpook Mathematical Journal
    • /
    • v.63 no.2
    • /
    • pp.155-166
    • /
    • 2023
  • In 2018, Andrews introduced the partition functions ${\mathfrak{EO}}$(n) and ${\bar{\mathfrak{EO}}}$(n). The first of these denotes the number of partitions of n in which every even part is less than each odd part, and the second counts the number of partitions enumerated by the first in which only the largest even part appears an odd number of times. In 2021, Pore and Fathima introduced a new partition function ${\mathfrak{EO}}_e$(n) which counts the number of partitions of n which are enumerated by ${\bar{\mathfrak{EO}}}$(n) together with the partitions enumerated by ${\bar{\mathfrak{EO}}}$(n) where all parts are odd and the number of parts is even. They also proved some particular congruences for ${\bar{\mathfrak{EO}}}$(n) and ${\mathfrak{EO}}_e$(n). In this paper, we establish infinitely many families of congruences modulo 2, 4, 5 and 8 for ${\bar{\mathfrak{EO}}}$(n) and modulo 4 for ${\mathfrak{EO}}_e$(n). For example, if p ≥ 5 is a prime with Legendre symbol $({\frac{-3}{p}})=-1$, then for all integers n ≥ 0 and α ≥ 0, we have ${\bar{\mathfrak{EO}}}(8{\cdot}p^{2{\alpha}+1}(pn+j)+{\frac{19{\cdot}p^{2{\alpha}+2}-1}{3}}){\equiv}0$ (mod 8); 1 ≤ j ≤ (p - 1).

Epidemiology of Eosinophilic Esophagitis in Patients with Cystic Fibrosis: A Population-Based 5-Year Study

  • Alaber, Omar;Sabe, Ramy;Baez-Socorro, Virginia;Sankararaman, Senthilkumar;Roesch, Erica;Sferra, Thomas J.
    • Pediatric Gastroenterology, Hepatology & Nutrition
    • /
    • v.25 no.4
    • /
    • pp.283-292
    • /
    • 2022
  • Purpose: The prevalence of eosinophilic esophagitis (EoE) has been on the rise since it was first described in the 1990s. Several diseases and exogenous factors have been associated with EoE. Our aim was to investigate the epidemiology of EoE in cystic fibrosis (CF) patients. Methods: We identified individuals with CF from September 2014 to September 2019 within a database (IBM Explorys Solutions, Inc.). The prevalence of EoE in patients with CF was compared to the general population. Results: The database included 36,111,860 patients during the 5-year study period: 12,950 with CF (0.036%) and 28,090 with EoE (0.078%). EoE prevalence was higher in CF patients than the general population (46 in 10,000 vs. 7.8 in 10,000, p<0.001). Patients with CF and EoE were more likely to be male (50% vs. 33.5%, p<0.008), children (33.3% vs. 16.5%, p<0.001), and non-Hispanic (100% vs. 88.7%, p<0.001) than CF patients without EoE. CF with EoE patients were more likely to be children than EoE only (33.3% vs. 10.5%, p<0.001). Allergic conditions were generally more prevalent in CF with EoE than CF only (83.3% vs. 68.3%, p=0.01) and EoE only (83.3% vs. 69.3%, p=0.014). Conclusion: EoE is nearly 6-times more prevalent in CF patients. Those patients had higher incidence of other atopic conditions. EoE must be considered in the differential diagnosis of patients with CF presenting with dysphagia, refractory gastroesophageal reflux, vomiting, and other esophagus-related symptoms.

Blend of essential oils can reduce diarrheal disorders and improve liver antioxidant status in weaning piglets

  • Maiara Ananda, Grando;Vanessa, Costa;Jansller Luiz, Genova;Paulo Evaristo, Rupolo;Liliana Bury, de Azevedo;Leandro Batista, Costa;Silvana Teixeira, Carvalho;Thiago Pereira, Ribeiro;Daniel Pigatto, Monteiro;Paulo Levi, de Oliveira Carvalho
    • Animal Bioscience
    • /
    • v.36 no.1
    • /
    • pp.119-131
    • /
    • 2023
  • Objective: This study was to assess the effects of different doses of an essential oil blend (EOB) on growth performance, diarrhea occurrence (DO), hematological and blood biochemical profile, intestinal morphometry, morphology and microbiology, relative weight and length of organs, digestive content pH, and liver antioxidant status in weaning piglets. Methods: A total of 135 barrows (7.09±0.29 kg body weight) were allotted randomly in a randomized complete block design based on body weight with nine replications and three animals per pen. Dietary treatments were a negative control (NC): basal diet; positive control (PC): NC plus 125 mg performance-enhancing antibiotic (enramycin 8%)/kg diet; NC plus 100 mg EOB/kg diet (EO100); NC plus 200 mg EOB/kg diet (EO200); and NC plus 400 mg EOB/kg diet (EO400). Diarrhea occurrence was monitored daily, and performance at the end of each phase. Results: Gain to feed ratio was greater (p<0.05) in starter II pigs fed EO400 and EO200 than in those fed EO100. Pigs fed EO400 had lower (p<0.05) DO than those fed NC and EO100 in the total period. Pre-starter II pigs fed NC had (p<0.05) lower serum total protein and plasma protein than pigs fed PC. Pigs fed EO100 showed smaller (p<0.05) mean corpuscular volume (MCV) than pigs fed EO400. Starter II pigs fed EO400 had (p<0.05) greater MCV and lower mean corpuscular hemoglobin and erythrocytes than those fed EO100. There was a greater concentration (p<0.05) of band cells for PC, similar to EO400 and EO200. Performance-enhancing antibiotic and EOB to diets increased (p<0.05) liver superoxide dismutase activity. Conclusion: Adding 200 and 400 mg EOB/kg diet decreased DO and was advantageous to hematological and blood biochemical profile and liver antioxidant status without being detrimental to growth performance and gastrointestinal health in nursery pigs.

EoP Bleaching of Mixed Office Wastepaper (MOW의 산소-알칼리 첨가 과산화수소 표백)

  • Kim, Seung-Ho;Lee, Hyung;Baek, Ki-Hyun
    • Journal of Korea Technical Association of The Pulp and Paper Industry
    • /
    • v.34 no.3
    • /
    • pp.46-52
    • /
    • 2002
  • To produce the raw material used for printing and writing paper or high quality tissue, MOWs that were consisted of white ledger, colored ledger and old newspaper were bleached with EoP and EoPY(FAS) method, the EoP bleaching process gave the improvement in brightness and a high color removal efficiency. Especially, MOW B(initial brightness: 59.1% ISO) that contained much old newspaper showed the higher bleaching efficiency than those of MOW A(initial brightness: 68.3%). After EoPY(FAS) bleaching, MOW's brightness was increased from 68.3% ISO to 84.3∼84.0% ISO, and from 59.1% ISO to 78.7∼79.2% ISO, respectively. Also the tensile and burst index of bleached pulps decreased by 10∼30%. The tear index slightly decreased or halted at the same range as unbleached pulps.

Quality Characteristics of Tomato Packaged with Functional Film Applied to Essential Oil of Artemisia Princeps Pampanini (사자발쑥 정유를 첨가한 기능성 필름에 의한 토마토의 품질 특성)

  • You, Hae Lin;Chang, Min-Sun;Kim, Gun-Hee
    • Journal of the Korean Society of Food Culture
    • /
    • v.30 no.6
    • /
    • pp.766-772
    • /
    • 2015
  • This research was conducted to investigate the effect of essential oil (EO) from Artemisia Princeps Pampanini on quality of tomato during storage. EO was extracted by steam distillation and diluted by 1 and 2%. Total phenolic contents and antioxidative activities of EO were analyzed. Tomato was packaged corrugated box covered with polypropylene (PP) film containing EO (1 and 2%) and then stored at room temperature for 10 days. During storage, appearance, weight loss rate, soluble solid contents, pH and a (redness) value were measured for tomato. Total phenolic contents of EO increased in a dose-dependence. The DPPH and ABTS radical scavenging activities also showed a concentration-dependent increase. The weight loss rate was lowest using the film packaged in 1% EO. During the storage period, soluble solid contents and pH increased in all treatments. The a value increased regardless of EO concentration in films. Especially, tomato packaged with EO film showed a lower a value than non EO-packaged ones. This result suggests that application of EO to film is effective for tomato quality preservation.

Anti-inflammatory Activities of Chopi (Zanthoxylum piperitum A.P. DC) Essential Oil: Suppression of the Inducible Nitric Oxide Synthase and Cellular Adhesion

  • Lee, Je-Hyuk;Chang, Kyung-Mi;Kim, Gun-Hee
    • Food Science and Biotechnology
    • /
    • v.18 no.6
    • /
    • pp.1371-1378
    • /
    • 2009
  • The aim of this study is to elucidate the anti-inflammatory activities of chopi (Zanthoxylum piperitum A.P. DC.) essential oil. Essential oil (EO) of chopi was extracted by steam distillation method, and its major constituents were limonene and geranyl acetate. Chopi-EO decreased approximately 38% of nitrite production, as compared to the lipopolysaccharde (LPS)-induced nitrite production. However, chopi-EO and its components did not quench nitric oxide (NO) chemically in cellfree system, and markedly inhibited approximately 40.4% of inducible nitric oxide synthase (iNOS) mRNA transcription. In addition, the inhibition of E-selectin gene transcription by chopi-EO caused the suppression of cellular adhesion. These results suggest that chopi-EO may exert potential anti-immunological inflammatory activity.

Determination of alkylphenol ethoxylate in water by high performance liquid chromatography/electrospray ionization/mass spectrometry (HPLC/ESI/MS를 이용한 물 중의 알킬페놀에톡실레이트 분석)

  • Lee, Jeongae;Park, Song-Ja;Chung, Bong Chul
    • Analytical Science and Technology
    • /
    • v.17 no.3
    • /
    • pp.263-270
    • /
    • 2004
  • A method is described for the analysis of short-chain alkylphenol ethoxylates (APEOs), 4-octylphenol-di-ethoxylate (OP2EO) and 4-nonylphenol-di-ethoxylate (NP2EO), in drinking water or wastewater using reversed phase high-performance liquid chromatography with electrospray ionization mass spectrometry. The solvent system was water and methanol containing $10{\mu}M$ trifluoroacetic acid as an ionization solvent. We acidified 1 L of water samples to less than pH 2 with concentrated $H_2SO_4$ and loaded onto Sep-Pak $C_{18}$, and eluted with acetone. The calibration of OP2EO and NP2EO was performed for the concentration range from 20 to 500 ng/L and the correlation coefficients were 0.999 and 0.990, respectively. The limits of detection were 20 ng/L (OP2EO) and 50 ng/L (NP2EO) at a signal-to-noise ratio of 3. Accuracy and precision of this analytical method were 85.8 ~ 122.1% and 8.2 ~ 18.8%, respectively. The proposed method allowed a sensitive and rapid detection of OP2EO and NP2EO and it could be applied for monitoring of APEOs from environmental samples.

Surface Active Properties and LCST Behavior of Oligo(propylene oxide-block-ethylene oxide) Allyl Ether Siloxane Surfactants in Aqueous Solution

  • Kim, Doo-Won;Lim, Chul-Hwan;Choi, Jae-Kon;Noh, Si-Tae
    • Bulletin of the Korean Chemical Society
    • /
    • v.25 no.8
    • /
    • pp.1182-1188
    • /
    • 2004
  • Polydisperse oligo(PO-b-EO) allyl ether siloxane surfactants were synthesized by the hydrosilylation reaction of OMTS with Allyl-oligo(PO-b-EO) series. The surface tension of siloxane surfactants increased with increasing the EO chain length while it decreased with increasing the PO ratio. However, the sedimentation time of the aqueous solution showed opposite trend to the surface tension data. Both the surface tension and sedimentation time of the aqueous solution containing inorganic electrolyte gradually decreased as the content of inorganic electrolyte increased because of the surface arrangement of surfactant molecules. However, they increased with an increase of pH values due to the hydrolysis of the siloxane backbone. The $C_p$ values tended to increase with the increase in the EO chain length and decrease of the PO ratio. It seems that intermolecular interaction between PO/EO block copolymer and water affects the variation of transition temperature.

Foeniculum vulgare essential oil nanoemulsion inhibits Fusarium oxysporum causing Panax notoginseng root-rot disease

  • Hongyan Nie;Hongxin Liao;Jinrui Wen;Cuiqiong Ling;Liyan Zhang;Furong Xu;Xian Dong
    • Journal of Ginseng Research
    • /
    • v.48 no.2
    • /
    • pp.236-244
    • /
    • 2024
  • Background: Fusarium oxysporum (F. oxysporum) is the primary pathogenic fungus that causes Panax notoginseng (P. notoginseng) root rot disease. To control the disease, safe and efficient antifungal pesticides must currently be developed. Methods: In this study, we prepared and characterized a nanoemulsion of Foeniculum vulgare essential oil (Ne-FvEO) using ultrasonic technology and evaluated its stability. Traditional Foeniculum vulgare essential oil (T-FvEO) was prepared simultaneously with 1/1000 Tween-80 and 20/1000 dimethyl sulfoxide (DMSO). The effects and inhibitory mechanism of Ne-FvEO and T-FvEO in F. oxysporum were investigated through combined transcriptome and metabolome analyses. Results: Results showed that the minimum inhibitory concentration (MIC) of Ne-FvEO decreased from 3.65 mg/mL to 0.35 mg/mL, and its bioavailability increased by 10-fold. The results of gas chromatography/mass spectrometry (GC/MS) showed that T-FvEO did not contain a high content of estragole compared to Foeniculum vulgare essential oil (FvEO) and Ne-FvEO. Combined metabolome and transcriptome analysis showed that both emulsions inhibited the growth and development of F. oxysporum through the synthesis of the cell wall and cell membrane, energy metabolism, and genetic information of F. oxysporum mycelium. Ne-FvEO also inhibited the expression of 2-oxoglutarate dehydrogenase and isocitrate dehydrogenase and reduced the content of 2-oxoglutarate, which inhibited the germination of spores. Conclusion: Our findings suggest that Ne-FvEO effectively inhibited the growth of F. oxysporum in P. notoginseng in vivo. The findings contribute to our comprehension of the antifungal mechanism of essential oils (EOs) and lay the groundwork for the creation of plant-derived antifungal medicines.

Different Protein Expression between Human Eosinophilic Leukemia Cells, EoL-1 and Imatinib-resistant EoL-1 Cells, EoL-1-IR

  • Sung, Kee-Hyung;Kim, In-Sik;Lee, Ji-Sook
    • Biomedical Science Letters
    • /
    • v.24 no.4
    • /
    • pp.426-429
    • /
    • 2018
  • Chronic eosinophilic leukemia (CEL) is characterized by eosinophilia and organ damage. Imatinib is widely used for treating CEL, chronic myeloid leukemia (CML) and acute myeloid leukemia (AML). Unfortunately, the cancer cells gain resistance against the drug after prolonged molecular-targeted therapies. Imatinib-resistant EoL-1 (EoL-1-IR) cells were produced from chronic eosinophilic leukemia cells (EoL-1) after treatment with imatinib for a long duration. Two-dimensional electrophoresis (2-DE) analysis revealed numerous protein variations in the EoL-1 and EoL-1-IR sub-types. Compared to the EoL-1 cells, expression levels of TIP49, RBBP7, ${\alpha}$-enolase, adenosine deaminase, C protein, galactokinase, eukaryotic translation initiation factor, $IFN-{\gamma}$, and human protein homologous to DROER were increased, whereas core I protein, proteasome subunit p42, heterogeneous ribonuclear particle protein, chain B, and nucleoside diphosphate were decreased in the EoL-1-IR cells. Taken together, these results contribute to understanding the pathogenic mechanism of drug-resistant diseases.