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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41358


    Title: A comparison of the parameter estimating procedures for the michaelis-menten model
    Authors: Tseng, Shio-jenn;Hus, Jyh-ping
    Contributors: 淡江大學數學學系
    Date: 1990-08-23
    Issue Date: 2010-01-28 07:23:08 (UTC+8)
    Publisher: London: Academic Press
    Abstract: The performance of four parameter estimating procedures for the estimation of the adjustable parameters in the Michaelis-Menten model, the maximum initial rate Vmax, and the Michaelis-Menten constant Km, including Lineweaver & Burk transformation (L-B), Eadie & Hofstee transformation (E-H), Eisenthal & Cornish-Bowden transformation (ECB), and Hsu & Tseng random search (H-T) is compared. The analysis of the simulated data reveals the followings: (i) Vmax can be estimated more precisely than Km. (ii) the sum of square errors, from the smallest to the largest, follows the sequence H-T, E-H, ECB, L-B. (iii) Considering the sum of square errors, relative error, and computing time, the overall performance follows the sequence H-T, L-B, E-H, ECB, from the best to the worst. (iv) The performance of E-H and ECB are on the same level. (v) L-B and E-H are appropriate for pricesly measured data. H-T should be adopted for data whose error level are high. (vi) Increasing the number of data points has a positive effect on the performance of H-T, and a negative effect on the performance of L-B, E-H, and ECB.
    Relation: Journal of Theoretical Biology 145(4), pp.457-464
    DOI: 10.1016/S0022-5193(05)80481-3
    Appears in Collections:[數學學系暨研究所] 期刊論文

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