Total least squares fitting Michaelis--Menten enzyme kinetic model function

DOI10.1016/j.cam.2006.02.017zbMath1106.92027OpenAlexW2015416109MaRDI QIDQ869543

Kristian Sabo, Dragan Jukić, Rudolf Scitovski

Publication date: 8 March 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.017

zbMATH Keywords

existence problemtotal least squares estimateMichaelis-Menten modelenzyme-substrate reaction scheme

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Probabilistic models, generic numerical methods in probability and statistics (65C20) General nonlinear regression (62J02) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)

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Cites Work

• An Analysis of the Total Least Squares Problem
• Existence of optimal solution for exponential model by least squares
• Functional relations, random coefficients, and nonlinear regression with application to kinetic data
• Existence results for special nonlinear total least squares problem
• Partial linearization of one class of the nonlinear total least squares problem by using the inverse model function
• A necessary and sufficient criteria for the existence of the least squares estimate for a 3-parametric exponential function.
• Least-squares fitting Gompertz curve
• A Stable and Efficient Algorithm for Nonlinear Orthogonal Distance Regression
• Robust and Efficient Designs for the Michaelis–Menten Model
• Is this the least squares estimate?
• Numerical Methods for Estimating Parameters in Nonlinear Models with Errors in the Variables
• On the existence of the least squares estimate in nonlinear growth curve models of exponential type
• Enzyme kinetics of multiple alternative substrates
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