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Amoupour, Ebrahim,Toroqi, Elyas Arsanjani,Najafi, Hashem Saberi Korean Mathematical Society 2018 대한수학회논문집 Vol.33 No.2
Finding a solution for the Legendre equation is difficult. Especially if it is as a part of the Laplace equation solving in the electric fields. In this paper, first a problem of the generalized differential transform method (GDTM) is solved by the Sturm-Liouville equation, then the Legendre equation is solved by using it. To continue, the approximate solution is compared with the nth-degree Legendre polynomial for obtaining the inner and outer potential of a sphere. This approximate is more accurate than the previous solutions, and is closer to an ideal potential in the intervals.
Alireza Joorabloo,Mohammad Taghi Khorasani,Hassan Adeli,Peiman Brouki Milan,Moein Amoupour 한국공업화학회 2022 Journal of Industrial and Engineering Chemistry Vol.108 No.-
A study of many individual parameters is required to provide a robust investigation of a system inbiomedical applications. A comprehensive understanding of these parameters is achievable by an appropriateexperimental model as a valid description to predict the outputs (responses). A combination ofresponse surface methodology and artificial neural network has been employed to design hydrogel dressingsincluding polyvinyl alcohol, chitosan, and starch. The optimal ratio of components of hydrogels asinput data based on the water vapor transmission rate, gel content, swelling ratio, and porosity propertiesas output parameters was determined using the quick propagation algorithm. Zinc-oxide nanoparticleswere coupled with heparin and applied in the optimal formulation to investigate its effect on physicaland mechanical properties, cytotoxicity, and antibacterial activities as well as in vivo wound healing. Mechanical strength improved in the presence of zinc-oxide nanoparticles. Heparin release reached withthe saturation state in a longer period after conjugation onto zinc-oxide nanoparticles. Minimum inhibitoryconcentration decreased significantly by conjugation of heparin to the nanoparticles and current systemscould protect wounds against infections. In vivo wound healing and immunohistochemistry assayindicated accelerated wound closure, re-epithelialization, and skin regeneration for hydrogel dressingscontaining heparin functionalized zinc-oxide nanoparticles.