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Numerical simulation of the biosensors in a trigger mode based on Michaelis-Menten enzymatic reaction | ||
| Journal of Mathematical Modeling | ||
| مقاله 2، دوره 8، شماره 2، مرداد 2020، صفحه 123-138 اصل مقاله (520.62 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2020.14147.1307 | ||
| نویسندگان | ||
| Maryam Abjadian؛ Ameneh Taleei* | ||
| Department of Mathematics, Shiraz University of Technology, Shiraz, Iran | ||
| چکیده | ||
| An amperometric biosensor in trigger mode is a type of biosensor which is used to improve the sensitivity and specificity of the detection event by coupling different enzymes. In this paper, we study a numerical scheme to solve the one-dimensional diffusion-reaction equations with a nonlinear term related to Michaelis-Menten kinetics of the enzymatic reactions. In order to simulate numerically the model under study, we discretize the time variable with a semi-implicit backward Euler approach. Also, we use the meshfree collocation method based on thin plate spline radial basis function for the discretization of the spatial derivative. The biosensor response with and without amplification has been compared. The influence of the normalized Michaelis constant, the maximal enzymatic rate and substrate concentration on the triggering biosensor response is investigated. | ||
| کلیدواژه‌ها | ||
| Biosensor؛ trigger mode؛ Michaelis-Menten kinetics؛ thin plate spline radial basis function | ||
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آمار تعداد مشاهده مقاله: 875 تعداد دریافت فایل اصل مقاله: 1,092 |
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