The model includes electrochemical reaction kinetics through a Butler Volmer equation, concentration-dependent material properties, and surface elasticity.
Within the developed rate equation, concentrations are expressed in liquid-phase activities from the UNIQUAC method in order to consider the nonidealities.
In addition, the association parts of all the SPR profiles, that is, integrated rate equations (concentration vs time) are superimposable with different multiplication factors (Supporting Information Figure S4).
Rate equations, concentration-based as well as activity-based with UNIFAC activity coefficient estimations, were derived, and the kinetic and equilibrium parameters included in the rate equations were estimated from experimental data with regression analysis.
The average of the duplicated ELISA test results was corrected using the following equation: corrected concentration = noncorrected concentration × actual plasma fraction/plasma fraction of the t1 sample.
By using a calibration curve of different concentrations of antibiotic and calculating the regression equation, antibiotic concentration in elution fluids can be calculated.
Further, a simplified equation for concentration ratio has also been developed to ease the design process.
A 1-D mathematical model, including electrical potential distribution equation, buffer concentration equation, as well as sample electromigration and diffusion equation, is developed by proper simplifications and assumptions to study the sample-stacking process in capillary electrophoresis.
Green's function method is applied to transform the partial differential equation for concentration into a Fredholm integral equation.
Two models for the scalar dissipation rate, required to close the transport equation for concentration variance, are investigated.
