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In the model equations the influence of air flow by natural convection is incorporated.
After reviewing the conservation laws of the model equations, the adopted variational principle with the related conservation laws is described both at the continuous and discrete level.
Whereas the former one allows to efficiently describe extrinsic and external fluctuations as stochastic inputs to the model equations, the latter provides an efficient approximation to the solution of the chemical master equation for describing stochasticity in the biochemical reactions.
For details about the model equations, the reader is refered to the appendix in [18].
Based on those model equations, the adsorption parameters qmax, KL, Kf, and n, and the correlation coefficient values (R) of arsenic onto ceria NPs were obtained (Table 1).
Using the number of carbon atoms in the fullerene molecules and the model equations, the structural relationships between the aforementioned physicochemical data can be derived.
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The first step in the process is to linearize the model equations around the homogenous solution.
Here, we used the same model equations in the data generation and the parameter estimation.
To solve the mixed model equations using the generalized least squares solution, the variance components must first be estimated (21 22).
The matrix Q is the coefficient matrix in the mixed model equations and the inverse of this matrix is where.
We solved the model equations by the numerical ordinary differential equation solvers available in MATLAB.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com