title: Fitting biological equations to data using non-parametric methods.
abstract: Simulated experimental data were generated for these equations: a straight line, the integrated Michaelis--Menten equation, plus a linear term, the Hill equation, a two-exponential function and a double Michaelis--Menten equation. The equations were fitted to the data using (i) least-squares and (ii) non-parametric methods. The precision and accuracy of the parameter estimates obtained by each method were compared and the methods assessed. For several of the equations, non-parametric methods provided robust techniques for parameter estimation. For the remainder, the results were poor. The reasons for this are discussed.
mesh_terms: D003201:Computers; D007700:Kinetics; D008433:Mathematics; D008954:Models, Biological; D011485:Protein Binding; D011506:Proteins / Q000378:metabolism
chemical_list: D011506:Proteins