21 research outputs found
Traveling dark-bright solitons in a reduced spin-orbit coupled system: application to Bose-Einstein condensates
In the present work, we explore the potential of spin-orbit (SO) coupled
Bose-Einstein condensates to support multi-component solitonic states in the
form of dark-bright (DB) solitons. In the case where Raman linear coupling
between components is absent, we use a multiscale expansion method to reduce
the model to the integrable Mel'nikov system. The soliton solutions of the
latter allow us to reconstruct approximate traveling DB solitons for the
reduced SO coupled system. For small values of the formal perturbation
parameter, the resulting waveforms propagate undistorted, while for large
values thereof, they shed some dispersive radiation, and subsequently distill
into a robust propagating structure. After quantifying the relevant radiation
effect, we also study the dynamics of DB solitons in a parabolic trap,
exploring how their oscillation frequency varies as a function of the bright
component mass and the Raman laser wavenumber
Molecular classification of breast cancer tumors according to histological grade (H1, H2, and H3) by tumor tissue protein expression profiling, using recombinant scFv antibody microarrays.
<p>Unfiltered data was used in all analysis. A) A ROC curve and AUC value obtained for H1 vs. H3, using a LOOC SVM (left panel). A PCA plot for H1 vs. H3 (right panel). B) A ROC curve and AUC value obtained for H1 vs. H2, using a LOOC SVM (left panel). A PCA plot for H1 vs. H2 (right panel). C) A ROC curve and AUC value obtained for H1 vs. H3, using a LOOC SVM (left panel). A PCA plot for H2 vs. H3 (right panel).</p
Significant analytes from SVM leave one out cross validation on unfiltered data for H2 vs. H3.
<p>Significant analytes from SVM leave one out cross validation on unfiltered data for H2 vs. H3.</p
First model for refined molecular grading of breast cancer.
<p>A) Backward elimination analysis of the data set (grade 1 and grade 3 tumors), resulting in a condensed signature of 20 antibodies (indicated by an arrow). The panel of antibodies (specificities) are shown (in order of last removed antibody). B) A frozen SVM classification model was generated using the 20-plex antibody panel in A, based on all grade 1 and 3 tumors. The grade 2 tumors were then applied as test set. The resulting classification decision values are shown, where tumors with values ℠0.5 are defined as being more similar grade 1 tumors, 0.5 to -0.5 is defined as a grey zone (i.e. grade 2 tumors), and †-0.5 are defined as being more similar to grade 3 tumors. C) The decision values for the grade 1 and grade 3 tumors used to build the SVM model are plotted. The same arbitrary cut-off as in B) is indicated (dashed line).</p
AFFIRMîžA Multiplexed Immunoaffinity Platform That Combines Recombinant Antibody Fragments and LC-SRM Analysis
Targeted measurements of low abundance
proteins in complex mixtures
are in high demand in many areas, not the least in clinical applications
measuring biomarkers. We here present the novel platform AFFIRM (AFFInity
sRM) that utilizes the power of antibody fragments (scFv) to efficiently
enrich for target proteins from a complex background and the exquisite
specificity of SRM-MS based detection. To demonstrate the ability
of AFFIRM, three target proteins of interest were measured in a serum
background in single-plexed and multiplexed experiments in a concentration
range of 5â1000 ng/mL. Linear responses were demonstrated down
to low ng/mL concentrations with high reproducibility. The platform
allows for high throughput measurements in 96-well format, and all
steps are amendable to automation and scale-up. We believe the use
of recombinant antibody technology in combination with SRM MS analysis
provides a powerful way to reach sensitivity, specificity, and reproducibility
as well as the opportunity to build resources for fast on-demand implementation
of novel assays
Validation of antibody microarray data using an orthogonal method (ELISA).
<p>A) Histological grade 1 vs. 2 based on ELISA data (left panel) and antibody microarray data (right panel). B) Histological grade 2 vs. 3, based on ELISA data (left panel) and antibody microarray data (right panel). C) Histological grade 1 vs. 3, based on ELISA data (left panel) and antibody microarray data (right panel). In all comparisons, a Welsh t-test was used to evaluate the level of significance.</p
Patient demographics and clinical parameters.
<p>Patient demographics and clinical parameters.</p
Limit of detection.
<p>Boxplots for 5 antibody intensities over all the analyzed samples. Each data point represents one sample. A cut-off limit was established based on the mean negative control signal (PBS) across all the samples plus 2 standard deviations. Each analyte, from which the mean signal intensities were found to be below the LOD in > 70% of samples was removed from the data (e.g. FASN (3) and MAKT (2)). The red line corresponds to the cut-off limit.</p
Evaluation of different normalization processes.
<p>To this end, microarray data for diseased vs. healthy samples was used and compared with respect to No. of down-regulated scFvs antibodies and No. of complete matches per target molecule, using a fold change (FC) filter of either FC > 1 or FC > 1.1 and with and without a cut-off value of q <0.05.</p
Evaluation of the effect of different normalization approaches on samples and variables in the data, shown in both sample mode and variable mode.
<p><b>(A)</b> Un-normalized log2 data. <b>(B)</b> Subtract by group mean + semi-global normalization. <b>(C)</b> ComBat + semi-global normalization. <b>(D)</b> Global VSN + Combat normalization. <b>(E)</b> Global LOESS + Combat normalization</p