Search Results - "Davis, Joe M."

Prediction by statistical overlap theory of fraction of baseline occupied by chromatographic peaks by Davis, Joe M.

“…•A probability equation is derived for the fraction of baseline occupied by peaks.•The fraction is a means for measuring the saturation (chromatographic…”
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Theory of the probability of total resolution in chromatograms with systematic variation of average peak spacing and peak width by Davis, Joe M.

“…•A general theory is given for the probability of resolving all peaks in chromatograms.•The theory allows for systematic variation of average peak spacing and…”
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Validation of Extended Statistical Overlap Theory for Application to Small Second Dimension Peak Capacity by Davis, Joe M.

“…Approximate equations for the numbers of singlet peaks and total peaks in two-dimensional (2D) separations of randomly distributed component zones predict…”
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Orthogonal separations: Comparison of orthogonality metrics by statistical analysis by Schure, Mark R., Davis, Joe M.

“…•Twenty orthogonality metrics (OMs) were calculated from 47 2D chromatograms.•Cross-correlation and principal component analyses showed that OMs were…”
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Estimation of low-level components lost through chromatographic separations with finite detection limits by Devitt, Nicole M., Davis, Joe M., Schure, Mark R.

“…•Chromatographic signal simulations investigate peaks near the limit of detection•Low-level peaks are obscured by peak overlap, not the limit of…”
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Orthogonality measurements for multidimensional chromatography in three and higher dimensional separations by Schure, Mark R., Davis, Joe M.

“…•Orthogonality metrics (OMs) are developed for n-dimensional (nD) chromatograms (n≥3).•A comprehensive 3D separation and 35 groupings of 3 1D LCs are…”
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Effect of First-Dimension Undersampling on Effective Peak Capacity in Comprehensive Two-Dimensional Separations by Davis, Joe M, Stoll, Dwight R, Carr, Peter W

“…The objective of this work is to establish a means of correcting the theoretical maximum peak capacity of comprehensive two-dimensional (2D) separations to…”
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Likelihood of total resolution in liquid chromatography: Evaluation of one-dimensional, comprehensive two-dimensional, and selective comprehensive two-dimensional liquid chromatography by Davis, Joe M., Stoll, Dwight R.

“…•Simulations were made of 1D-LC, sLC×LC and LC×LC separations (2–50 components).•sLC×LC is superior to 1D-LC over the range of analysis times studied…”
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Likelihood of total resolution in selective comprehensive two-dimensional liquid chromatography with parallel processing: Simulation and theory by Davis, Joe M., Stoll, Dwight R.

“…•The probability of total resolution in selective LC × LC is computed by simulation.•One serial and two parallel modes of a commercial instrument are…”
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Fractional coverage metrics based on ecological home range for calculation of the effective peak capacity in comprehensive two-dimensional separations by Rutan, Sarah C., Davis, Joe M., Carr, Peter W.

“…► Various metrics for fractional surface coverage in comprehensive two-dimensional separations are evaluated. ► An accurate measure of the fractional surface…”
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New theory for distribution of minimum resolution in multi-component separations with noise/detection limits by Davis, Joe M.

“…▸ The distribution of resolution was computed for two peaks with random heights. ▸ Log-normal, exponential, and uniform peak-height distributions were…”
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Computation of distribution of minimum resolution for log-normal distribution of chromatographic peak heights by Davis, Joe M.

“…► Equations were derived for calculating the distribution of minimum resolution. ► The equations were applied to a log-normal distribution of peak heights. ►…”
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Dependence of Effective Peak Capacity in Comprehensive Two-Dimensional Separations on the Distribution of Peak Capacity between the Two Dimensions by Davis, Joe M, Stoll, Dwight R, Carr, Peter W

“…One of the basic tenets of comprehensive two-dimensional chromatography is that the total peak capacity is simply the product of the first- and…”
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Dependence on effective saturation of numbers of singlet peaks in one- and two-dimensional separations by Davis, Joe M.

“…The average numbers of singlet peaks in one-dimensional (1D) and two-dimensional (2D) separations of randomly distributed peaks are predicted by…”
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The statistical overlap theory of chromatography using power law (fractal) statistics by Schure, Mark R., Davis, Joe M.

“…► The statistical overlap theory (SOT) of chromatography is derived using power-law probability density functions. ► The chromatographic saturation is shown to…”
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Observations on “Orthogonality” in Comprehensive Two-Dimensional Separations by Watson, Nathanial E, Davis, Joe M, Synovec, Robert E

“…The concept and definition of orthogonality in the context of comprehensive two-dimensional (2D) separations are interesting topics of active discussion. Over…”
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Relationship between selectivity and average resolution in comprehensive two-dimensional separations with spectroscopic detection by Davis, Joe M., Rutan, Sarah C., Carr, Peter W.

“…The average value of the multivariate selectivity ( SEL) of randomly positioned peaks in a multi-component separation is shown to equal the average fraction of…”
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Effective Saturation: A More Informative Metric for Comparing Peak Separation in One- and Two-Dimensional Separations by Davis, Joe M, Carr, Peter W

“…A theoretical comparison is made of the numbers of observed peaks in one-dimensional (1D) and two-dimensional (2D) separations having the same peak capacity,…”
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Evaluation of peak overlap in migration-time distributions determined by organelle capillary electrophoresis: Type-II error analogy based on statistical-overlap theory by Davis, Joe M., Arriaga, Edgar A.

“…Organelles commonly are separated by capillary electrophoresis (CE) with laser-induced-fluorescence detection. Usually, it is assumed that peaks observed in…”
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Statistical-overlap theory for elliptical zones of high aspect ratio in comprehensive two-dimensional separations by Davis, Joe M.

“…The low prediction by statistical‐overlap theory of the numbers of singlets and peaks in two‐dimensional separations containing zones represented by either…”
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