Abstract: A method for determining a cycle threshold for a PCR amplification curve is provided. The method includes receiving a data set for a plurality of biological samples for a PCR amplification reaction. The data set includes a plurality of amplification curves, each amplification curve associated with a biological sample of the plurality of biological samples. The method further includes performing a nonlinear optimization comprising a fit of each amplification curve to a complementary modeled amplification curve to determine a best-fit set of parameters for a modeled efficiency curve and associated amplification curve. The modeled amplification curve is based on a modeled efficiency curve. The method includes determining a cycle threshold value for each biological sample based on a complementary relationship of the modeled efficiency curve to the modeled amplification curve. In an embodiment, the nonlinear optimization is a constrained nonlinear optimization.

Abstract: The present disclosure provides systems, methods, and a computer-readable storage medium for identifying and selecting highly relevant sets of genes (or Gene Signatures and biomarkers), which, when coupled with clinical and/or demographic data are highly predictive of potential clinical responses to a targeted therapy. It also provides systems, methods, and a computer-readable storage medium for determining the expected response to the targeted therapy when using the selected gene/biomarker set.

Abstract: A method for determining a cycle threshold for a PCR amplification curve is provided. The method includes receiving a data set for a plurality of biological samples for a PCR amplification reaction. The data set includes a plurality of amplification curves, each amplification curve associated with a biological sample of the plurality of biological samples. The method further includes performing a nonlinear optimization comprising a fit of each amplification curve to a complementary modeled amplification curve to determine a best-fit set of parameters for a modeled efficiency curve and associated amplification curve. The modeled amplification curve is based on a modeled efficiency curve. The method includes determining a cycle threshold value for each biological sample based on a complementary relationship of the modeled efficiency curve to the modeled amplification curve. In an embodiment, the nonlinear optimization is a constrained nonlinear optimization.

Abstract: A method and apparatus are provided for detecting a received acoustic pulse of a selected azimuthal borehole mode in a liquid-containing borehole in a formation. The method uses a sonde having an axial array of acoustic receiver stations aligned with the borehole, each receiver station having an azimuthal array of at least four piezoelectric receiver elements, the receiver elements uniformly spaced apart around the azimuthal array. An acoustic pulse transmitted within the borehole produces an electrical signal at each receiver element. Azimuthal spatial transform filtering is applied to produce data representing a received acoustic pulse of the selected azimuthal borehole mode. In one embodiment, azimuthal spatial DFT filtering is applied to digital data produced by analog to digital conversion. In another embodiment, cosine transform filtering is applied by an apodized receiver element.