Appendix 1 Table 1 shows the fitted fractions and variances for each of the replicates.> We see that, for the majority of replicates, the noise level lies around 0.01 (meaning a measurement error bar of about 0.1 on log-expression), but it is two and threefold higher for measurements of the genes of interest in two replicates.
The context is premixed or stratified flames, the derived model relies on four balance equations for mixture fraction and its variance, and a progress variable and its variance.
The experimentally determined FMDFs are conditioned on the Favré filtered values of the mixture fraction and its variance.
The new modeling approach describes the small-scale segregation of fluid by solving the transport equations of mixture fraction and its variance based on the simulated macro-flow, and calculates the representative turbulence kinetic energy and dissipation in the reaction zone via the weighted average of mixture-fraction variance for the E-model.
In the standard implementation of tabulated combustion models of the FPI or FGM type, the mean species mass fractions are read from look-up tables as functions of a progress variable, mixture fraction and their variances.
Using several different shapes for the core-averaged PDF, it is shown that use of a bimodal PDF with a low minimum at stoichiometric mixture fraction and a large variance leads to lower nitric oxide formation.
The velocity and concentration field data were analyzed for flow statistics such as the mean velocity, Reynolds stresses, turbulent kinetic energy, turbulent dissipation rate, mixture-fraction mean, mixture-fraction variance and one-point composition probability density functions (PDF).
In addition, identified risk alleles together explain only a fraction of disease heritability and variance (2).
Using nonlinear least-squares regression, the live cell velocity histogram was fitted to a mixed distribution consisting of fraction f of a Gaussian with unknown mean and variance and fraction (1−f) of the antimycin/deoxyglucose-treated cell distribution.
Using nonlinear least-squares, the live cell velocity histogram was fitted to a mixed distribution consisting of fraction f of a Gaussian with unknown mean and variance and fraction (1−f) of the permeabilized cell distribution.
