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By using nonlinear urban scaling laws as a baseline, our procedure accounts for the underlying principles and socioeconomic dynamics that give rise to cities to distinguish general effects of urbanism from local dynamics and, consequently, leads to a much simpler and direct perspective into the local factors that make or break specific places.
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A nonlinear optimization problem is then formulated and solved by using nonlinear direct search techniques.
This limitation could be addressed by using nonlinear cost functions.
Kinetic parameters were obtained by using nonlinear regression.
The kinetic parameters were refined by using nonlinear regression.
Statistical analyses of the resulting tumor data were performed by using nonlinear Poisson and probit models.
The concentrations of agonist causing half-maximal contraction or relaxation (EC50) were calculated by using nonlinear semilogistic regression analysis.
Evoked EJP amplitude was corrected by using nonlinear summation (McLachlan and Martin, 1981; Feeney et al., 1998).
The data were analyzed by globally fitting using nonlinear least-squares (IGOR Pro Wavemetrics).
The IC50 values were calculated by fitting the data using nonlinear regression in GraphPad Prism Software (San Diego, CA).
Vmax and Km parameters were determined using nonlinear regression analysis by plotting initial enzyme velocity (vo) versus substrate concentration ([S]).
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