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Habituation was modelled and mathematically fitted using a nonlinear exponential decay.
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To show the advantage of our applied exponential synchronization method using a nonlinear control function, the results are compared with synchronization based on the Lyapunov stability theorem.
Some sufficient conditions on the exponential lag synchronization of the FCNNs are obtained using a nonlinear measure method.
For this data set, bi-exponential functions were iteratively fit to each source organ time-activity curve using a nonlinear least-squares regression algorithm (SAAM II v1.2 software; The SAAM Institute, Inc., Seattle, Washington. www.saam.com).saam.com
Concentration response relationships were fit using a nonlinear regression.
IC50 values were calculated using a nonlinear regression curve fit.
Population pharmacodynamics was modeled using a nonlinear mixedeffect model.
Growth rates in triplicates derived from the exponential growth model (Eq. 1) were plotted against the concentration range and fitted to the model given by Eq. 2 for each of the 50 E. coli strains, using a nonlinear least square algorithm nls function of R [ 28].
As stand age had a nonlinear (exponential) relationship with density, the final regression model fitted using the SAS NLIN procedure was as follows: {Dow}_i=a+btimes {MAT}_i-ctimes exp left -dtimes {Age}_iright)+{e}_i (1).
Overall, data were adequately characterized by a linear increase in LTG CL/F during pregnancy and a nonlinear exponential decline in CL/F after delivery.
These plots were then fit using a single exponential nonlinear association to determine the kobs.
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