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The source terms in momentum balance equations refer to the total phase interaction and mechanical dispersion forces and the closure expression relating the gas and liquid pressures is given by capillary dispersion and gravity.
It is also demonstrated that a weighted-arithmetic-mean closure expression is sufficient to represent the relation between the cross-direct-correlation integral to the other two correlation integrals of binary mixtures.
The choice of the closure expression, Equation (10.21), relating the cross-direct-correlation integral to the other two integrals in a binary mixture allows us to solve these equations simply and analytically using only the pure-fluid thermodynamic data.
This leads to an interfacial force term containing a turbulent dispersion force term, for which a closure expression is applied following the method proposed by Bel F'dhila and Simonin (Proceedings of the Sixth Workshop on Two-Phase Flow Prediction, Erlangen, Germany, pp. 264 273).
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Therefore, a simpler model referred to as the site-counting model has been developed, which replaces the structural information of the PAH molecules by their functional groups augmented with statistical closure expressions.
There are parallels in neural tube closure, reelin expression, sex-specific development, gliogenesis, and neurotransmitter makeup [10 13].
First, for the determination of how and when the cell fate is specified in conjunction with epithelial fusion during neural tube closure, the expressions of several NE and SE markers were analyzed (Fig. 1).
There are at least two effects of ABA on plant response to abiotic stress: inducing stomata closure and regulating expression of a big part of abiotic stress responsive genes.
As an integral part of stress signal transduction, ABA regulates important cellular reactions such as stomatal closure and gene expression.
More closures look likely.
We showed that lowering CNG channel activity by CNGA2 gene deletion or naris closure decreased the expressions of both Kirrel-2 and Cyp26B1.
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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