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  • Creator(s):
    Jonathan Hauenstein, Samantha Sherman
    Description:

    Synthesis problems for linkages in kinematics often yield large structured parameterized polynomial systems which generically have far fewer solutions than traditional upper bounds would suggest. This paper describes statistical models for estimating the generic number of solutions of such parameterized polynomial systems. The new approach extends previous work on success ratios of parameter homotopies to using monodromy loops as well as the addition of a trace test that provides a stopping…

    Date Created:
    2020-04-21
    Record Visibility:
    Public
  • Creator(s):
    Jonathan Hauenstein, Margaret Regan
    Description:

    Polynomials which arise via elimination can be difficult to compute explicitly. By using a pseudo-witness set, we develop an algorithm to explicitly compute the restriction of a polynomial to a given line. The resulting polynomial can then be used to evaluate the original polynomial and directional derivatives along the line at any point on the given line. Several examples are used to demonstrate this new algorithm including examples of computing the critical points of the discriminant locu…

    Date Created:
    2020-03-27
    Record Visibility:
    Public
  • Creator(s):
    Jonathan Hauenstein, Martin Helmer
    Description:

    Alt’s problem, formulated in 1923, is to count the number of four-bar linkages whose coupler curve interpolates nine general points in the plane. This problem can be phrased as counting the number of solutions to a system of polynomial equations which was first solved numerically using homotopy continuation by Wampler, Morgan, and Sommese in 1992. Since there is still not a proof that all solutions were obtained, we consider upper bounds for Alt’s problem by counting the number of sol…

    Date Created:
    2020-03-03
    Record Visibility:
    Public
  • Creator(s):
    Jonathan Hauenstein
    Description:

    Many algorithms for determining properties of real algebraic or semi-algebraic sets rely upon the ability to compute smooth points. Existing methods to compute smooth points on semi-algebraic sets use symbolic quantifier elimination tools. In this paper, we present a simple algorithm based on computing the critical points of some well-chosen function that guarantees the computation of smooth points in each connected compact component of a real (semi)-algebraic set. Our technique is intuitive …

    Date Created:
    2020-01-18
    Record Visibility:
    Public
  • Author(s):
    Michael Hildreth, Natalie Meyers
    Abstract:

    The FAIR Hackathon Workshop for Mathematics and the Physical Sciences (MPS) February 27-28, 2019 in Alexandria, Virginia brought together forty-four stakeholders in the physical sciences community to share skills, tools and techniques to FAIRify research data. As one of the first efforts of its kind in the US, the workshop offered participants a way to engage with FAIR principles (Findable, Accessible, Interoperable and Reusable) Data and metrics in the context of a hackathon. The workshop wa…

    Date Created:
    2020-01-05
    Record Visibility:
    Public
    Resource Type
    Report
  • Author(s):
    Michael Hildreth
    Abstract:

    This report reflects the deliberations and conclusions of an NSF-wide Workshop to explore the prospects for a common response to the requirements for public access to research data. Representatives of almost all of the NSF Directorates convened in Alexandria, VA, February 22 and 23, 2018, to review a diverse and multi-disciplinary collection of projects and workshops that have been conducted in the recent past. All of these activities were focused on aspects of public access to research data,…

    Date Created:
    2019-02-18
    Record Visibility:
    Public
    Resource Type
    Report
  • Creator(s):
    Dan Bates, David Eklund, Jonathan Hauenstein, Chris Peterson
    Description:

    A fundamental problem in algebraic geometry is to decompose the solution set of a given polynomial system. A numerical description of this solution set is called a numerical irreducible decomposition and currently all standard algorithms use a sequence of homotopies forming a dimension-by-dimension approach. In this article, we pair a classical result to compute a smooth point on every irreducible component in every dimension using a single homotopy together with the theory of isosingular s…

    Date Created:
    2019-04-26
    Record Visibility:
    Public
  • Author(s):
    Yide Zhang, Scott S. Howard, Cody J. Smith
    Abstract:

    Super-resolution microscopy is broadening our in-depth understanding of cellular structure. However, super-resolution approaches are limited, for numerous reasons, from utilization in longer-term intravital imaging. We devised a combinatorial imaging technique that combines deconvolution with stepwise optical saturation microscopy (DeSOS) to circumvent this issue and image cells in their native physiological environment. Other than a traditional confocal or two-photon microscope, this approac…

    Date Created:
    2019-01-09
    Record Visibility:
    Public
    Resource Type
    Software
  • Author(s):
    Yumiko Tokusumi, Tsuyoshi Tokusumi, Robert A. Schulz
    Abstract:

    Acute inflammation can cause serious tissue damage and disease in physiologically-challenged organisms. The precise mechanisms leading to these detrimental effects remain to be determined. In this study, we utilize a reproducible means to induce cellular immune activity in Drosophila larvae in response to mechanical stress. That is, forceps squeeze-administered stress induces lamellocytes, a defensive hemocyte type that normally appears in response to wasp infestation of larvae. The posterior…

    Date Published:
    2018-07
    Record Visibility:
    Public
  • Author(s):
    Jeremy Fein, Clayton Johnson, Joshua Shrout
    Abstract:

    Understanding metal sorption to bacteria is important for developing bioremediation strategies, for determining the fate of contaminants in ground water systems, and for defining controls on microbial metabolic processes in the environment. X-ray absorption spectroscopy (XAS) has been the only technique available for quantifying and mapping metal sorption to bacteria on an individual cell scale, but the XAS approach is time consuming and expensive, and quantitative mapping of the distribution…

    Date Published:
    2018-04
    Record Visibility:
    Public
  • Author(s):
    Md Suhail Alam, Bruce Cooper, Kasturi Halder
    Abstract:

    Histone deacetylase (HDAC) inhibitors are of significant interest as drugs. However, their use in neurological disorders has raised concern because HDACs are required for brain function. We have previously shown that a triple combination formulation (TCF) of the pan HDACi vorinostat (Vo) improves pharmacokinetic exposure and entry of Vo into the brain. TCF treatment significantly delayed both neurodegeneration and death in the Npc1nmf164 murine model of Niemann Pick Type C (NPC) disease. The …

    Date Published:
    2017-09
    Record Visibility:
    Public
  • Author(s):
    Manuela Lahne, Clare E. Yarka, Michael E. Petravick, Jingling Li, David R. Hyde
    Abstract:

    Sox2 is a well-established neuronal stem cell-associated transcription factor that regulates neural development and adult neurogenesis in vertebrates, and is one of the critical genes used to reprogram differentiated cells into induced pluripotent stem cells. We examined if Sox2 was involved in the early reprogramming-like events that Müller glia undergo as they upregulate many pluripotency- and neural stem cell-associated genes required for proliferation in light-damaged adult zebrafish reti…

    Date Published:
    2017-08
    Record Visibility:
    Public