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On attractors of type 1 iterated function systems
Jose Mathew,Sunil Mathew,Nicolae Adrian Secelean 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.3
This paper discusses the properties of attractors of Type 1 IFS which construct self similar fractals on product spaces. General results like continuity theorem and Collage theorem for Type 1 IFS are established. An algebraic equivalent condition for the open set condition is studied to characterize the points outside a feasible open set. Connectedness properties of Type 1 IFS are mainly discussed. Equivalence condition for connectedness, arc wise connectedness and locally connectedness of a Type 1 IFS is established. A relation connecting separation properties and topological properties of Type 1 IFS attractors is studied using a generalized address system in product spaces. A construction of 3D fractal images is proposed as an application of the Type 1 IFS theory.
Rajan, Sunil,Mathew, Jacob,Kumar, Lakshmi The Korean Dental Society of Anesthsiology 2021 Journal of Dental Anesthesia and Pain Medicine Vol.21 No.2
Background: Inappropriate use of intravenous and inhaled anesthetics may be dangerous in infants undergoing facial cleft surgeries. This study primarily aimed to compare the effect of infraorbital nerve block on sevoflurane requirement in infants undergoing cheiloplasty. Intraoperative opioid consumption, hemodynamics, blood glucose levels, extubation time, and delirium were also compared. Methods: This prospective, randomized, double-blinded study was conducted in 34 infants undergoing cheiloplasty under general anesthesia. After induction, group A received bilateral infraorbital nerve block with 0.5 mL of 0.5% bupivacaine and group B 0.5 mL saline. An increase in heart rate or blood pressure > 20% was managed by increasing sevoflurane by 2-2.5%, followed by fentanyl 0.5 ㎍/kg bolus. The chi-square test and independent-sample t-test were used where applicable. Results: Demographics, duration of surgery, and intravenous fluids used were comparable between the groups. Compared to group A, patients in group B had significantly higher consumption of fentanyl (14.2 ± 4.4 ㎍ vs. 22.1 ± 6.2 ㎍) and sevoflurane (14.2 ± 4.8 mL vs. 26.8 ± 15.6 mL). Intraoperative hemodynamic parameters were significantly lower in group A, the number of times increases in hemodynamic parameters occurred, and fentanyl supplemental bolus was required remained significantly lower in group A than in group B. Intraoperative glycemic levels remained higher in group B, and the extubation time was significantly shorter in group A than in group B (4.40 ± 1.60 min vs. 9.2 ± 2.18 min). Group A had a lesser occurrence of postoperative delirium. Conclusion: Supplemental infraorbital block in infants undergoing cheiloplasty under general anesthesia resulted in significantly decreased anesthetic requirements and optimal hemodynamic and glycemic levels with faster extubation and lesser delirium.
Inhibition of monoamine oxidases by benzimidazole chalcone derivatives
Krishna Athulya,Lee Jiseong,Kumar Sunil,Sudevan Sachithra Thazhathuveedu,Uniyal Prerna,Pappachen Leena K.,Kim Hoon,Mathew Bijo 한국응용생명화학회 2023 Applied Biological Chemistry (Appl Biol Chem) Vol.66 No.-
Ten benzimidazole chalcone derivatives were synthesized, and their monoamine oxidase (MAO) inhibitory activity was evaluated. Most compounds showed higher inhibitory activity against MAO-B than MAO-A. Compound BCH2 exhibited an IC50 value of 0.80 μM, thereby showing the most potent inhibition amongst all. In addition, BCH2 showed the highest MAO-B selectivity index (SI) with an SI value of 44.11 compared to MAO-A. Among the substituents, the halogen group showed the best MAO-B inhibition, and the ortho-position of the B ring showed better inhibitory activity than the para-site. In comparison with ortho-substituents, the inhibitory activity increased in the order, -Cl > -Br > -F > -H. BCH2 was found to be a competitive inhibitor of the enzyme with optimum inhibition kinetics, where Ki was found to be 0.25 ± 0.014 μM. In the reversibility experiment, BCH2 showed a recovery pattern after MAO-B inhibition, similar to that of lazabemide. Thus, BCH2 is a potent, reversible, and selective MAO-B inhibitor and has been suggested as a candidate for the treatment of neurological disorders.
Lee Jiseong,Parmbil Saranya Kattil,Pandit Nagendar Kumar,Kumar Sunil,Syed Asad,Elgorban Abdallah M.,Wong Ling Shing,Ranjana,Kim Hoon,Mathew Bijo 한국응용생명화학회 2024 Applied Biological Chemistry (Appl Biol Chem) Vol.67 No.-
Nine morpholine-derived halogenated chalcone derivatives (MHC1-MHC9) were synthesized, and their inhibitory activity against monoamine oxidase (MAO) was evaluated. MHC5 showed the highest inhibitory activity against MAO-B with an IC50 value of 0.065 μM, followed by MHC7 (IC50=0.078 μM) and MHC6 (IC50=0.082 μM). The para-F substituent MHC4 was also potent (IC50=0.095 μM). The selectivity index values of all the compounds were high for MAO-B over MAO-A, and the values for MHC5 and MHC4 were 66.15 and 80.11, respectively. MHC5 and MHC4 were competitive MAO-B inhibitors with Ki values of 0.024±0.00062 and 0.041±0.0028 μM, respectively. In reversibility tests, the changes in residual activity before and after the dialysis of MHC5 and MHC4 were similar to those of safnamide, a reversible MAO-B reference inhibitor. Additionally, molecular docking and dynamic simulations predicted that the lead molecules MHC5 and MHC4 could strongly bind to the MAO-B active site with docking scores of –10.92±0.08 and –10.64±0.14 kcal/mol, respectively. Additionally, MHC4 and MHC5 exhibited favorable ADME features, including blood–brain barrier permeability. The experiments confrmed that MHC5 and MHC4 are reversible and potent selective inhibitors of MAO-B and are promising candidates for the treatment of neurodegenerative diseases (human health).
Peedikayil Arshida Thottile,Lee Jiseong,Abdelgawad Mohamed A.,Ghoneim Mohammed M.,Shaker Mohamed E.,Selim Samy,Kumar Sunil,Dev Sanal,Kim Hoon,Mathew Bijo 한국응용생명화학회 2023 Applied Biological Chemistry (Appl Biol Chem) Vol.66 No.-
Monoamine oxidases (MAOs) regulate neurotransmitters, and changes in their regulation lead to neurogenerative diseases (NDs). Therefore, MAO inhibitors are used to treat NDs. Ferulic acid, a phenolic compound found in various plant species, has been demonstrated to have a variety of biological functions, including anti-inflammatory, anticancer, and neuroprotective effects. In this study, ten ferulic acid hydrazide derivatives (FA1–FA10) were synthesized, and their ability to inhibit monoamine oxidase (MAO) enzymes was tested. Six candidates demonstrated a more pronounced pattern of inhibitory action against MAO-B than against MAO-A. FA3 had the highest inhibitory efficacy in MAO-B inhibition (IC50 value of 1.88 μM), followed by FA9 (2.08 μM). FA3 has a Ki of 1.92 ± 0.73 μM. A reversibility experiment of MAO-B inhibition by FA3 was conducted using dialysis, and the recovery pattern showed FA3 was a reversible MAO-B inhibitor with a similar recovery to safinamide, a reversible reference inhibitor. These results indicate that FA3 is an effective reversible MAO-B inhibitor. In molecular dynamics and docking, FA3 paired with pi-pi stacking helped stabilize the protein ligand in the active site of MAO-B. According to this study, lead compounds can be used as therapeutic agents to treat neurological conditions, such as Parkinson's disease (PD).