The resulting scheme does not need any auxiliary concentrations and is therefore remarkably simpler, while being second-order accurate under the assumption that the structure of the domain is locally layered.
The elastic modulus of the networks normalized to the network modulus of F-actin alone was plotted as a function of total auxiliary protein concentration (Fig. 2).
For higher auxiliary protein concentrations, this effect was qualitatively similar, but quantitatively different.
Mixed second-order finite element methods introducing the chemical potential or alternatively a nonlocal concentration as auxiliary field serve as references to which both higher-order methods are compared in terms of accuracy and efficiency.
The auxiliary variable was nitrate concentration which was deemed to be more easily available at larger sample size.
Using the stream-function as an independent variable instead of time splits the system into an (m + 1) × (m + 1) auxiliary system, containing only concentrations and one lifting hydrodynamic equation for an unknown phase saturation.
This is often resolved by introducing auxiliary node, edge, or face concentration values that are explicitly interpolated from the surrounding cell concentrations.
Markov chain Monte Carlo and a posterior sampling technique are used to calculate the expected information over a grid of potential detector locations, and an auxiliary detector measuring both mean concentration and turbulent scalar fluxes is added where the expected information reaches a maximum.
These auxiliary attacks might prevent a concentration of Dutch forces, blocking the 9th Panzer Division's advance through a densely built up urban area intersected by canals.
In the particular case of DNA looping that we discuss here, the J factor is the effective concentration of an auxiliary operator-bound LacR molecule at the primary operator.
Crop yield, N2O fluxes, soil mineral N concentrations, and soil auxiliary parameters were measured following the application of treatments during each season.
