The dispersion coefficient was calculated by fitting the analytical solution of FADE to the measured data at different transport scales.
The model is based on the numerical solution of the coupled one-dimensional heat and mass transport equations, assuming moisture transport due to Fick's diffusion, with an effective moisture diffusion coefficient derived by fitting the analytical solution of the Fick's law to experimentally derived drying curves, on the basis of an Arrhenius-type temperature dependence.
The values of free parameters in the model were estimated by fitting the model solution to the in situ data on gap gene expression (described in Methods), and the quality of fit was quantitatively satisfactory.
The Young's modulus and the Poisson's ratio are determined by fitting the theoretical solutions into the displacement field obtained experimentally.
By fitting the approximate solutions of the dofDWE to data from slug tests in the field, we determined the effective saturated hydraulic conductivity, Ke, transmissivity, Tf, and the order of fractional derivatives, β2 in one test and β2 and β1 in the second test.
The convection velocity is obtained by fitting the finite element solution to the experimental data and seems to be directly proportional to the height above mean sea level and also seems to depend on the orientation of the face of the platform.
For each interstitial velocity, a corresponding time invariant overall mass transfer coefficient was determined by fitting the experimental data to an analytical solution applicable to nonaqueous phase liquid (NAPL) pools (Water Resour. Res. 31(4) (1995 11377).
The free energy and force functions appropriate for nondilute solutions were derived by fitting the simulation data.
The electrical parameters of the electrode solution interface were obtained by fitting the experimental impedance data either to a RΩ(RfCf)(RctCdl)L (for the Ir0.3Ti0.7O2 electrode) or a R′Ω QRct)L (for PtOx-containing electrodes) equivalent circuit, where Q = constant phase element.
Relative metabolite concentrations and their uncertainties were estimated by fitting the spectrum to a basis set of spectra acquired from individual metabolites in solution.
