In order to study the robustness of the parameter estimates using the nonlinear mixed-effects model for the rate of glucose uptake that was deemed best (the three-parameter logistic model) we used a simulation study.
The controller includes recursive parameters identification by an EKF, inversion of the nonlinearity using the current nonlinear parameter estimate and a pole placement controller for the exactly linearized system.
An attempt is shown to explore the possibility of using the nonlinear spectral model in forecasting some parameters of solar activity affected the space weather.
Specifically, the ridge extraction based on Short-Time Fourier Transform (STFT) is applied to estimate the instantaneous frequencies (IFs), with which the fitting IF curves based on the Morse theory of theoretical acoustics could be achieved by using the nonlinear curve-fitting so that the parameters of the initial position of the acoustic sources could be calculated.
Data of corrected heat change were fitted using the nonlinear least square method to obtain parameters like binding enthalpy (ΔH), dissociation constant (Kd) and stoichiometry.
The probability distribution parameters are determined using the nonlinear least squares optimization method by programming in Mathematica and by applying the genetic algorithm.
The probability distribution parameters are determined using the nonlinear least squares optimization method in two ways: (1) optimization by programming in Mathematica; and (2) optimization by applying genetic algorithm.
Rate constants for DOC oxidation and carbonate mineral precipitation were determined, and other model parameters were optimized using the nonlinear optimization program PEST by means of matching hydrochemical observations closely (pH, DIC, DOC, Na, K, Ca, Mg, NH4, Fe(II), SO4, Cl, CH4, saturation index of calcite and siderite).
Kinetic parameters were determined using the nonlinear regression hyperbolic fit to the Michaelis-Menten equation.
These PD parameters were calculated using the nonlinear regression program (WinNonlin, Pharsight Corporation).
