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The activation energy obtained by fitting a plot of ln versus T-1 from the resistance measurement results was approximately 0.146 eV.
The equilibrium dissociation constant (Kd) of the fluorescent ligand was obtained by fitting a plot of the specific binding intensity versus (Y) the aptamer concentration (X) to the equation Y = BmaxX/ Kd+X) using SigmaPlot.
The activation energy was calculated by fitting a plot of the natural log (ln) of the observed closure rate (y-axis) verses inverse temperature (x-axis) using the equation below (Fit 3) Fit 3 : ln (k ) = − E a / RT + ln (A ), where Ea is the activation energy, T is temperature (kelvin, K), R is the gas constant (kcal K−1 mol−1), and A is a pre-exponential factor.
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The BEI was defined by Equation (1), and the percentage of substrate remaining in the ipsilateral cerebrum (100-BEI) was determined using Equation (2): The apparent elimination rate constant (kel) was determined from the slope given by fitting a semilogarithmic plot of (100-BEI) versus time, using the nonlinear least-squares regression analysis program MULTI [ 27].
The modulus of elasticity (E; newton) was calculated as the maximum slope of a linear regression line fitted through a plot of force (newton) vs. strain (ɛ/100).
For each pixel, a straight line was fitted to a plot of lnSt against TE for each pixel using a least-squares approach, of which the gradient is intrinsic relaxivity (− R2*; s−1).
The remaining particles were classified in three different groups according the goodness of fit to a plot of mean square displacement (MSD) vs. time: (a) simple Brownian diffusion; (b) directed motion, and (c) confined diffusion mode.
A line fit to a plot of residual activity versus chlorite equivalents intercepts the x-axis at 5.3 × 10.
The apparent elimination rate constant (k e) was determined by fitting a semi-logarithmic plot of 100-BEI, i.e., the percentage remaining in the ipsilateral cerebrum, versus time, using a nonlinear least-squares regression analysis program (MULTI) [ 24].
Bacteria (1×106) were incubated in a detection solution consisting of 0.0001% (w/v) phenol red and 100 mM urea in PBS and OD550 readings were taken over 60 min. Activity was determined from the slope of a best-fit line on a plot of OD550 versus time and was normalized to values obtained for control cultures.
ACH was calculated as the gradient of the best-fit line through a plot of the natural logarithm of CO2 concentration in ppm plotted against time in hours.
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