Applied and Computational Mathematics and Statistics

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  • Author(s):
    Michael Hildreth
    Abstract:

    This report is a direct result of consultation with the research communities funded by the Mathematical and Physical Sciences (MPS) Directorate at the National Science Foundation (NSF). The goal of this effort is to provide feedback to NSF on current best practices with regard to research data curation, discovery, access, preservation, and re-use, and suggestions for areas of improvement and investment that could facilitate broader curation of, access to, and re-use of research data in the fu…

    Date Created:
    2017-08-31
    Resource Type
    Report
  • Author(s):
    Daniel Bates, Charles Wampler, Andrew Sommese, Jonathan Hauenstein
    Abstract:

    This book is a guide to concepts and practice in numerical algebraic geometry—the solution of systems of polynomial equations by numerical methods. Through numerous examples, the authors show how to apply the well-received and widely used open-source Bertini software package to compute solutions, including a detailed manual on syntax and usage options. The authors also maintain a complementary web page where readers can find supplementary materials and Bertini input files.

    Date Created:
    2016-02-23
    Resource Type
    Book
  • Inventor(s):
    Steven Buechler, Amanda B. Hummon
    Patent Number:
    US 9580756 B2
    Description:

    Compositions/methods for employing fresh-frozen or FFPE colon cancer tissue in left side colon cancer (LCC) and right-side colon cancer (RCC) disease patients for risk of relapse assessment/stratification is provided (3 strata and a 4 strata methodology). An RCC gene panel of 4 genes (FAM69A, CDX2, FAM84A, ITGA3), and 9 genes (FAM69A, CDX2, ITGA3, FAM84A, ITPRIP, RAB3B, SMAD3, PCSK5, MMP28), is provided. An LCC gene panel of 4 genes (NOX4, WNT5A, MMP3, IBSP), and a 9 genes (MMP3, WINT5A, NOX4…

    Date Issued:
    2017-02-28
    Resource Type
    Patent
  • Inventor(s):
    Steven Buechler, Amanda B. Hummon
    Patent Number:
    US 9464328 B2
    Description:

    Genetic biomarkers for left side colon cancer (LCC) (such as expression levels of an RNA transcript or expression product of NOX4, MMP3, or a combination) and right side colon cancer (RCC) (such as expression levels of an RNA transcript or expression product of CDCX2, FAM69A, or a combination), are disclosed. Methods for using the biomarkers in providing a prognosis of relapse-free survival probability in patients having LCC or RCC are also presented. Prognostic panels using gene expression v…

    Date Issued:
    2016-10-11
    Resource Type
    Patent
  • Inventor(s):
    Steven Buechler
    Patent Number:
    US 9721067 B2
    Description:

    An Accelerated Progression Relapse Test (APRT) and method is provided for use in the prognosis of a patient having an ER+ breast cancer. The APRT provides a determination of when a patient in a particular diseased state is likely to benefit from further disease treatment, or does not have a high probability of benefit with additional treatment. Four genetic probes are disclosed that target the MKI67, CDC6 and SPAG5 gene and gene products. The ER+ breast cancer patient population is stratified…

    Date Issued:
    2017-08-01
    Resource Type
    Patent
  • Inventor(s):
    Steven Buechler, Amanda B. Hummon
    Patent Number:
    US 10,087,489 B2
    Description:

    Genetic biomarkers for left side colon cancer (LCC) (such as expression levels of an RNA transcript or expression product of NOX4, MMP3, or a combination) and right side colon cancer (RCC) (such as expression levels of an RNA transcript or expression product of CDCX2, FAM69A, or a combination), are disclosed. Methods for using the biomarkers in providing a prognosis of relapse-free survival probability in patients having LCC or RCC are also presented. Prognostic panels using gene expression v…

    Date Issued:
    2018-10-02
    Resource Type
    Patent
  • Inventor(s):
    Sunil Badve, Steven Buechler, Yesim Gokmen-Polar
    Patent Number:
    US 10174382 B2
    Description:

    A genetic biomarker panel is provided for prognosing late onset ER+ breast cancer relapse, in a breast cancer survivor patient. Kits are also provided for measuring levels or the presence of an identified panel of genetic biomarkers. Methods are also provided for identifying a breast cancer survivor patient at a relatively high risk of suffering a breast cancer relapse within 8 years of diagnosis, and therefore suitable for treatment with an aggressive chemotherapeutic regimen. The method may…

    Date Issued:
    2019-01-08
    Resource Type
    Patent