Can we constrain the interior structure of rocky exoplanets from mass and radius measurements?

Aims. We present an inversion method based on Bayesian analysis to constrain the interior structure of terrestrial exoplanets, in the form of chemical composition of the mantle and core size. Specifically, we identify what parts of the interior structure of terrestrial exoplanets can be determined from observations of mass, radius, and stellar elemental abundances. Methods. We perform a full probabilistic inverse analysis to formally account for observational and model uncertainties and obtain confidence regions of interior structure models. This enables us to characterize how model variability depends on data and associated uncertainties. Results. We test our method on terrestrial solar system planets and find that our model predictions are consistent with independent estimates. Furthermore, we apply our method to synthetic exoplanets up to 10 Earth masses and up to 1.7 Earth radii, and to exoplanet Kepler-36b. Importantly, the inversion strategy proposed here provides a framework for understanding the level of precision required to characterize the interior of exoplanets. Conclusions. Our main conclusions are (1) observations of mass and radius are sufficient to constrain core size; (2) stellar elemental abundances (Fe, Si, Mg) are principal constraints to reduce degeneracy in interior structure models and to constrain mantle composition; (3) the inherent degeneracy in determining interior structure from mass and radius observations does not only depend on measurement accuracies, but also on the actual size and density of the exoplanet. We argue that precise observations of stellar elemental abundances are central in order to place constraints on planetary bulk composition and to reduce model degeneracy. We provide a general methodology of analyzing interior structures of exoplanets that may help to understand how interior models are distributed among star systems. The methodology we propose is sufficiently general to allow its future extension to more complex internal structures including hydrogen- and water-rich exoplanets.

The relationship between supermarket nutrient movements and the mortality rates from fat-associated and non-fat-associated cardiovascular disease: Development of an ecologic method for determining community food patterns

Supermarket nutrient movement, a community food consumption measure, aggregated 1,023 high-fat foods, representing 100% of visible fats and approximately 44% of hidden fats in the food supply (FAO, 1980). Fatty acid and cholesterol content of foods shipped from the warehouse to 47 supermarkets located in the Houston area were calculated over a 6 month period. These stores were located in census tracts with over 50% of a given ethnicity: Hispanic, black non-Hispanic, or white non-Hispanic. Categorizing the supermarket census tracts by predominant ethnicity, significant differences were found by ANOVA in the proportion of specific fatty acids and cholesterol content of the foods examined. Using ecological regression, ethnicity, income, and median age predicted supermarket lipid movements while residential stability did not. No associations were found between lipid movements and cardiovascular disease mortality, making further validation necessary for epidemiological application of this method. However, it has been shown to be a non-reactive and cost-effective method appropriate for tracking target foods in populations of groups, and for assessing the impact of mass media nutrition education, legislation, and fortification on community food and nutrient purchase patterns. ^

Proceedings of the Eighteenth Annual Biochemical Engineering Symposium

The eighteenth annual biochemical engineering symposium was held during April 22–23, 1988 at the YMCA of the Rockies conference center in Estes Park, Colorado, under the sponsorship of the University of Colorado. Previous symposia in this series have been hosted by Kansas State University (1st, 3rd, 5th, 9th, 12th, 16th), University of Nebraska-Lincoln (2nd, 4th), Iowa State University (6th, 7th, l0th, 13th, 17th), University of Missouri–Columbia (8th, 14th), and Colorado State University (11th, 15th). Next year's symposium is scheduled to be held at the University of Missouri-Columbia. The symposia are devoted to talks by students about their ongoing research. Because final publication usually takes place elsewhere, the papers included in the proceedings are brief, and often cover work in progress. ContentsApplications of mass spectrometers in biochemical engineeringJohn P. McDonald, Ayush Gupta, and Lourdes Taladriz, Kansas State University Enzymatic hydrolysis of corn gluten proteinsJulie Hardwick; Iowa State University Improved Acetone-Butanol Fermentation AnalysisZ. Buday; Colorado State University On-Line State Identification for Batch FermentationD. A. Gee and W. F. Ramirez; University of Colorado Role of Spargers in Air-Lift ReactorsPeter U. Sohn and Rakesh K. Bajpai; University of Missouri–Columbia The Interaction of Microcarriers and Turbulence within an Airlift FermenterG. Travis Jones; Kansas State University Oxygen Diffusion in the Inter-Fiber Gel/Cell Matrix of NMR-Compatible Hollow Fiber Bio-ReactorsS. L. Hanson, B. E. Dale, and R. J. Gillies; Colorado State University Characterization of Ca-alginate Gel Beads FormationHorngtwu Su, Rakesh K. Bajpai, and George W. Preckshot; University of Missouri–Columbia Metabolic Effects of Chloramphenicol Resistance in the Recombinant Host/Vector System: E. coli RRl [pBR329]William E. Bentley, Dana C. Andersen, Dhinakar S. Kompala, and Robert H. Davis; University of Colorado Genetic Engineering of Beta-Galactosidase to Aid in Fermentation Product Recovery by Polyelectrolyte PrecipitationD. E. Parker, C. E. Glatz, J. Zhao, C. F. Ford, S. M. Gendel, and M. A. Rougvie; Iowa State University Biodegradation of Organic Compounds in SoilLourdes Taladriz, L. E. Erickson, and L. T. Fan; Kansas State University Effect of Dilution, pH and Nutrient Composition on the Biodegradation of Metalworking FluidsAyush Gupta, L. E. Erickson, and L. T. Fan; Kansas State University Dissolved Hydrogen Correlation with Redox Potential in Acetone-Butanol FermentationXiangdong Zhou; Colorado State University Modeling of Ensiling Fermentation of Sweet SorghumA. K. Hilaly; Colorado State University

Geochemistry of the oldest Atlantic oceanic crust

Controversy has surrounded the issue of whether mantle plume activity was responsible for Pangaean continental rifting and massive flood volcanism (resulting in the Central Atlantic Magmatic Province or CAMP, emplaced around 200 Ma) preceding the opening of the central Atlantic Ocean in the Early Mesozoic. Our new Sr-Nd-Pb isotopic and trace element data for the oldest basalts sampled from central Atlantic oceanic crust by deep-sea drilling show that oceanic crust generated from about 160 to 120 Ma displays clear isotopic and chemical signals of plume contamination (e.g., 87Sr/86Sr(i) = 0.7032-0.7036, epsilonNd(t) =+6.2 to +8.2, incompatible element patterns with positive Nb anomalies), but these signals are muted or absent in crust generated between 120 and 80 Ma, which resembles young Atlantic normal mid-ocean ridge basalt. The plume-affected pre-120 Ma Atlantic crustal basalts are isotopically similar to lavas from the Ontong Java Plateau, and may represent one isotopic end-member for CAMP basalts. The strongest plume signature is displayed near the center of CAMP magmatism but the hotspots presently located nearest this location in the mantle reference frame do not appear to be older than latest Cretaceous and are isotopically distinct from the oldest Atlantic crust. The evidence for widespread plume contamination of the nascent Atlantic upper mantle, combined with a lack of evidence for a long-lived volcanic chain associated with this plume, leads us to propose that the enriched signature of early Atlantic crust and possibly the eruption of the CAMP were caused by a relatively short-lived, but large volume plume feature that was not rooted at a mantle boundary layer. Such a phenomenon has been predicted by recent numerical models of mantle circulation.