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Homogenization of Hyperbolic Damped Stochastic Wave Equations

Acta Mathematica Sinica,English Series 2018年第2期34卷 233-254页

作者： Aurelien FOUETIO Jean louis WOUKENG Department of Mathematics and Computer Science University of Dschang P.O. Box 67 Dschang Cameroon Interdisciplinary Center for Scientific Computing ( IWR) University of Heidelberg Im Neuenheimer Feld 205 69120 Heidelberg Germany

For a family of linear hyperbolic damped stochastic wave equations with rapidly oscillating coefficients, we establish the homogenization result by using the sigma-convergence method. This is achieved under an abstrac... 详细信息

关键词： Algebras with mean value stochastic hyperbolic partial differential equations Wiener process sigma-convergence

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Detection of Estrogen Responsive Breast Cancer Circulating Tumor Cells: Assay Development for Anti-Hormone Therapy Resistance

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Journal of Cancer Therapy 2015年第9期6卷 773-782页

作者： Sally A. Litherland louis Barr Robert Reynolds Elizabeth Griffith Ryan Sause Tiffany Encarnacion Alvin J. O. Almodovar Xiang Zhu Stephanie Dickstein Yai-Ping Shao Na.im Fanaian David A. Decker Translational Research Florida Hospital Cancer Institute Orlando FL USA Breast Cancer Oncology Florida Hospital Cancer Institute Orlando FL USA Diagnostic Pathology Florida Hospital Cancer Institute Orlando FL USA

Recent clinical trials with histone deacetylase inhibitors (HDACi) have shown increased progression free survival by re-sensitizing resistant estrogen receptor positive (ER+) breast cancer cells to hormone suppressive therapies (HT). However, these trials lacked a sensitive, specific assay to identify and monitor HDACi/HT sensitive or resistant tumors. We tested detection of ER expression and histone acetylation of chromatin at the growth regulation by estrogen in breast cancer 1 (GREB1) gene, an estrogen-responsive gene involved in ER expression, in circulating tumor cell (CTC) as potential candidate assays for HDACi/HT sensitivity. ER+ and ER- CTC were detected and isolated from breast cancer patient peripheral blood by high speed fluorescence activated cell sorting (FACS) for use in mRNA analysis and anti-acetylated histone-mediated Chromatin immunoprecipitation (ChIP). cDNA from mRNA and DNA extracted from the ChIP isolates were quantified by real-time PCR for GREB1. CTC isolates from patients who had an ER+ breast cancer primary contained both ER+ and ER- cells. More ER+ than ER- CTC was found in HT sensitive patients compared to HT resistant patients (p = 0.0559). GREB1 was found in acetylated histone chromatin from both ER+ and ER- CTC. The number of ER+ and ER- CTC found in peripheral blood appears to parallel patient outcomes as to their sensitivity to HT. Acetylated histone analysis can detect chromatin containing GREB1 in CTC, suggesting it may be useful as a more specific measure of HDACi effects on breast tumor cells. A larger, longitudinal data set following patients through HT/HDACi trials is needed to confirm these observations and their development for clinical use.

关键词： Epigenetics Breast Cancer Estrogen Receptor Histone Acetylation Anti-Hormone Therapy

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Spontaneous imbibition of Water and Determination of Effective Contact Angles in the Eagle Ford Shale Formation Using Neutron imaging

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Journal of Earth Science 2017年第5期28卷 874-887页

作者： Victoria H.DiStefano Michael C.Cheshire Joanna McFarlane Lindsay M.Kolbus Richard E.Hale Edmund Perfect Hassina Z.Bilheux louis J.Santodonato Daniel S.Hussey David L.Jacobson Jacob M.LaManna Philip R.Bingham Vitaliy Starchenko Lawrence M.Anovitz Physical Sciences Directorate Chemical Sciences Division Oak Ridge National Laboratory Bredesen Center University of Tennessee Energy & Environmental Sciences Directorate Energy & Transportation Sciences Division Oak Ridge National Laboratory Neutron Sciences Directorate Chemical and Engineering Materials Division Oak Ridge National Laboratory Nuclear Science & Engineering Directorate Reactor & Nuclear Systems Division Oak Ridge National Laboratory Department of Earth and Planetary Science University of Tennessee Neutron Sciences Directorate Instrument and Source Division Oak Ridge National Laboratory Physical Measurement Laboratory National Institute of Standards and Technology Energy & Environmental Sciences Directorate Electrical & Electronics Systems Research DivisionOak Ridge National Laboratory

Understanding of fundamental processes and prediction of optimal parameters during the horizontal drilling and hydraulic fracturing process results in economically effective improvement of oil and natural gas extraction. Although modern analytical and computational models can capture fracture growth, there is a lack of experimental data on spontaneous imbibition and wettability in oil and gas reservoirs for the validation of further model development. In this work, we used neutron im- aging to measure the spontaneous imbibition of water into fractures of Eagle Ford shale with known geometries and fracture orientations. An analytical solution for a set of nonlinear second-order diffe- rential equations was applied to the measured imbibition data to determine effective contact angles. The analytical solution fit the measured imbibition data reasonably well and determined effective con- tact angles that were slightly higher than static contact angles due to effects of in-situ changes in veloci- ty, surface roughness, and heterogeneity of mineral surfaces on the fracture surface. Additionally, small fracture widths may have retarded imbibition and affected model fits, which suggests that aver- age fracture widths are not satisfactory for modeling imbibition in natural systems.

关键词： spontaneous imbibition effective contact angle neutron imaging Eagle Ford shale rock fractures.

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