We measure the bulk system parameters of the seismically active, rapidly-rotating δ-Scuti KOI-976 and constrain the orbit geometry of its transiting binary companion using a combined approach of asteroseismology and gravity-darkening light curve analysis. KOI-976 is a 1.62 ± 0.2 M star with a measured v sin(i) of 120 ± 2 km/s and seismically-induced variable signal that varies by ∼ 0.6% of the star's total photometric brightness. We take advantage of the star's oblate shape and seismic activity to perform three measurements of its obliquity angle relative to the plane of the sky. We first apply rotational splitting theory to the star's variable signal observed in short-cadence Kepler photometry to constrain KOI-976's obliquity angle, and then subtract off variability from that dataset using the linear algorithm for significance reduction software LASR. We perform gravitydarkened fits to Kepler variability-subtracted short-cadence photometry and to Kepler's phase-folded long-cadence photometry to obtain two more measurements of the star's obliquity. We find that the binary system transits in a grazing configuration with measured obliquity values of 36 • ± 17 • , 46 • ± 16 • , and 43 • ± 20 • respectively for the three measurements. We perform these analyses as a way to demonstrate overcoming the challenges high-mass stars can present to transit light curve fitting and to prepare for the large number of exoplanets TESS will discover orbiting A/F stars.
We develop a technique for removing stellar variability in the light curves of δ-Scuti and similar stars. Our technique, which we name the Linear Algorithm for Significance Reduction (LASR), subtracts oscillations from a time series by minimizing their statistical significance in frequency space. We demonstrate that LASR can subtract variable signals of near-arbitrary complexity and can robustly handle close frequency pairs and overtone frequencies. We demonstrate that our algorithm performs an equivalent fit as prewhitening to the straightforward variable signal of KIC 9700322. We also show that LASR provides a better fit to seismic activity than prewhitening in the case of the complex δ-Scuti KOI-976.
<p>Supplementary Figures S1 to S10. Supplementary Figure S1. Quality control western blots; Supplementary Figure S2. Label-free matrisome protein abundance; Supplementary Figure S3. Label-free percentage protein abundance; Supplementary Figure S4. Proteins identified in only one TMT 10-plex; Supplementary Figure S5. Tumor-cell-only proteins; Supplementary Figure S6. Abundance of tumor-cell-derived and stroma-derived matrisome proteins in metastases to different tissues; Supplementary Figure S7. Stromal proteins elevated in metastases relative to normal tissue; Supplementary Figure S8. Alterations in SERPINB1 are associated with lower progression-free survival; Supplementary Figure S9. Additional proteins evaluated for altered metastatic tropism; Supplementary figure S10. Gene Set Enrichment Analysis of ECM proteins and predicted upstream regulators in brain metastases.</p>
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