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- 저자 : A.A. Adeniji (검색결과 4 건)
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A.A. Adeniji,M.C. Kekana,M.Y. Shatalov 한국전산응용수학회 2023 Journal of applied mathematics & informatics Vol.41 No.5
This paper summarizes some research findings that show how the differential transform method (DTM) is used to resolve the Holling-Tanner model. To confirm the application, effectiveness, and correctness of the approach, a comparison between the differential transform method (DTM) and the Adomian decomposition method (ADM) is carried out, and an accurate solution representation in truncated series is discovered. The approximate solution obtain using both techniques and comparison demonstrates same outcome which remains a preferred numerical method for resolving a system of nonlinear differential equations.
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Spectrum convolution of full transformation semigroup
A. O. Adeniji 호남수학회 2019 호남수학학술지 Vol.41 No.3
In this paper, some results are obtained from studying convolution on the spectrum of full transformation semigroup and some of its subsemigroups using Cayley's table. The shift of $\alpha$ determines its eigenvalues and one-dimensional linear convolution is complex in Symmetric group.
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Olubunmi Atolani,Gabriel A. Olatunji,Oluwatoyin Adenike Fabiyi,Adekunle J. Adeniji,Omonike O. Ogbole 한국식품영양과학회 2013 Journal of medicinal food Vol.16 No.10
Studies suggest that the traditional applications of Kigelia pinnata leaves have beneficial effects against oxidative stress–mediated diseases and cancers. The pulverized dried leaves of K. pinnata were extracted with hexane, ethylacetate, and methanol sequentially, and the crude extracts were fractionated by silica gel column chromatography with solvent gradient of increasing polarity. 3-hydro-4,8-phytene, trans-phytol, (9Z,12Z)-methyl octadeca-9,12-dienoate, and two oil fractions were obtained. The chemical compositions of chromatographic fractions were determined using gas chromatography–mass spectroscopy. The structure elucidations of the isolated compounds were based on FTIR, MS, and NMR spectral data analyses. These along with the crude extracts were examined for their antioxidant activities using ferric reducing antioxidant power (FRAP), 2,2-diphenyl-1-picrylhydrazyl (DPPH) radical scavenging, and 2,2-azinobis(3-ethyl-benzothiazoline-6-sulfonic acid)(ABTS) assays. Total phenolic contents were also determined. The crude extracts and purified compounds were evaluated on the rhabdomyosarcoma human cancer cell for their cytotoxicity using 3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide (MTT) cell viability assays. The methanol extract was richer in phenolics and was most potent as antioxidant and cytotoxic agent among all the substances tested. Among the fractions and pure compounds, the two oil fractions showed more cytotoxicity potency, with IC50s of 143.4 – 0.5 and 147.9 – 1.3 ng/mL, which is more significant than the reference standard, cyclophosphamide (165.6 – 1.0 ng/mL). 3-hydro-4,8-phytene showed lower antioxidant and cytotoxicity potential (IC50 = 1818 – 5.2 lg/mL and 171.7 – 0.8 ng/mL, respectively). Trans-phytol did not show a high cytotoxic power (IC50 =769.8 – 4.3 ng/mL). The comparatively high cytotoxicity index of (9Z, 12Z)-methyl octadeca-9,12-dienoate (IC50 = 153.3 –0.1 ng/mL) indicated that it may be one of the principal cytotoxic agent in the ethyl acetate extract. These results suggest that the leaves of K. pinnata possess tumor cytotoxic potential and could be part of a drug combination for future cancer chemotherapy.
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N. Jeeva,K.M. Dharmalingam,S.E. Fadugba,M.C. Kekana,A.A. Adeniji 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.4
This study focuses on SIR model for SARS-CoV-2. The SIR model classifies a population into three compartments: susceptible $S(t)$, infected $I(t)$, and recovered $R(t)$ individuals. The SARS-CoV-2 model considers various factors, such as immigration, birth rate, death rate, contact rate, recovery rate, and interactions between infected and healthy individuals to explore their impact on population dynamics during the pandemic. To analyze this model, we employed two powerful semi-analytical methods: the Laplace Adomian decomposition method (LADM) and the differential transform method (DTM). Both techniques demonstrated their efficacy by providing highly accurate approximate solutions with minimal iterations. Furthermore, to gain a comprehensive understanding of the system behavior, we conducted a comparison with the numerical simulations. This comparative analysis enabled us to validate the results and to gain valuable understanding of the responses of SARS-CoV-2 model across different scenarios.
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