Comparison of the calculated dose rate constant with the value presented by Meigooni et al. shows a very good agreement.
The speed of the sonic wave is assumed to be a constant with the value of 0.312 km/s taken from Nagasawa and Miura (1987).
The crystallite size, L (nm) was determined according to the Debye Scherrer equation (Eq. 1) (Holzwarth and Gibson 2011): L = frac{Klambda }{beta cos theta } (1 where K is a constant with the value 0.89, (lambda) is the characteristic wavelength of the X-ray source, β is the full width at half maximum (FWHM) and θ is the angle diffraction.
The sum-rate for uncoordinated IA technique is worse than the coordinated IA technique and is still better than other considered techniques and it increases slowly with the value of N. Furthermore, the sum-rate for no mitigation technique decreases with the value of N, remains more or less constant with the value of N for resource division and remains constant for the primary only technique.
As mentioned above, the majority take b to be a universal constant with the value of 0.37 Å.
Intrinsic viscosity was then used to calculate the molecular weight of polymers based on Mark Howink constants with the values of K and a being 1.81 × 10−3 and 0.93, respectively (Ramos et al. 2003).
where J is the current density, E is the applied field strength, A and B are constants with the values of 1.56 × 10-10 AV-2 eV and 6.83 × 103 V eV -3/2 μm-1, respectiV eV -3/2s the work function of the emitter which was taken as 5.4 eV for ZnO from the literature [35], and β is the so-called field-enhancement factor, which reflects the ability of the emitters to enhance the local electric field.
Substituting equation (10) into equation (9) and performing an inverse Laplace transform results in: (11) f (t ) = A 1 + A 2 e − D n t + A 3 e − (D n + S f ) t + A 4 e − D m t + A 7 e − ε ω n t sin (ω n 1 − ε 2 t + φ ) where A1, A2, A3, A4, A7, and ϕ are constants with the values given in 'Additional file 2'.
The drug's pharmacodynamics effect can be expressed as the following transfer function [ 35]: (2) G 11 s = K 1 1 + T 4 s e − τ 1 s 1 + T 1 s 1 + T 2 s 1 + T 3 s, where τ1 is a dead time (time elapsed until the drug takes effect), K1 is a coefficient, and T1, T2, T3, and T4 are time constants with the values: τ1 = 1 min, K1 = 1, T1 = 4.81 min, T2 = 34.42 min, T3 = 3.08 min, and T4 = 10.64 min.
This places an upper bound of 1500 s−1 on kf (half the measured observed rate constant), consistent with the values in Supplementary Table SI.
