Emily Hendryx

Ph.D. Candidate
Computational and Applied Mathematics
Rice University

I am a graduate student in the Department of Computational and Applied Mathematics at Rice University. My current work focuses on the analysis of data from hospital bedside monitors in effort to improve mathematical models for the prediction of patient decline in congenital heart disease. I am particularly interested in identifying subtle predictive features within the pediatric electrocardiogram (or ECG); to approach this problem, I am applying techniques from numerical linear algebra and data science.

My elevator pitch describing the overall goals of my work can be found here. This pitch was given during the "Screech" competition hosted by the Rice Center for Engineering Leadership in the fall of 2013.

Education

  • Ph.D. in Computational and Applied Mathematics, Rice University, in progess.
    Advisors: Craig Rusin (Baylor College of Medicine) and Beatrice Riviere

  • M.A. in Computational and Applied Mathematics, Rice University, May 2015
    Thesis title: "Identifying ECG Features in Congenital Heart Disease"
    Advisors: Craig Rusin (Baylor College of Medicine) and Beatrice Riviere

  • B.S. in Mathematics, Angelo State University, May 2012

Research Interests

I am largely interested in the intersection of applied mathematics and the fields of data science and biomedical informatics. My primary areas of interest are:

  • Numerical linear algebra
  • Time series analysis
  • Dimension reduction in large data sets
  • Image processing

    • Presentations

    • “A Comparison of CUR Subset Selection Algorithms”
      • Rice Data Science Conference (poster), 2017
    • “Subset Selection via DEIM”
      • Rice University Computational and Applied Mathematics (CAAM) Graduate Seminar, 2017
    • "An Extended DEIM Algorithm for Subset Selection"
      • Texas Applied Mathematics and Engineering Symposium, 2017
      • Rice Data Science Conference, 2017
    • “Mathematical Models: Monsters and Medicine”
      • Tapia Math Camp Enhancement Lecture, Rice University, 2017
    • “Matters of the Heart: Analyzing Pediatric ECG Waveforms”
      • Invited Talk, Angelo State University, 2017
    • "ECG Feature Identification in Pediatric Congenital Heart Disease"
      • Keck Annual Research Conference (poster), 2016
    • "Analyzing ECG Data: Time Series and Images"
      • Rice University CAAM Graduate Seminar, 2016
    • “Extracting Signals from ECG Images for Database Similarity Search”
      • National Library of Medicine (NLM) Summer Fellow Lecture, 2016
    • “Extracting Signals from Scanned ECG Images for Imaging Informatics Applications”
      • National Institutes of Health (NIH) Summer Research Program Poster Day (poster), 2016
    • "Pediatric ECG Feature Identification"
      • Society for Industrial and Applied Mathematics (SIAM) Annual Meeting, 2016
      • National Library of Medicine (NLM) Training Conference (Awarded Best Plenary Talk), 2016
    • "Using the CUR Factorization to Identify Key ECG Morphologies"
      • Rice Data Science Meet Up (poster), 2016
      • SIAM Conference on the Life Sciences (poster), 2016
    • "Identifying ECG Features in Congenital Heart Disease"
      • Rice/Texas Medical Center Chapter of Sigma Xi, Annual Science Celebration and Holiday Party (poster), 2015
      • American Medical Informatics Association (AMIA) Annual Symposium (poster), 2015
      • Keck Annual Research Conference (poster), 2015
      • NLM Training Conference (Open Mic Talk, awarded Best in Session), 2015
      • Rice University CAAM Graduate Seminar, 2015
    • "Data Analytics of ECG for Predictive Modeling"
      • Rice Data Science Meet Up (poster), 2015
    • "Identifying ECG Clusters in Congenital Heart Disease"
      • Master's Defense, Rice University, 2015
    • "Using Variants of Dynamic Time Warping to Identify ECG Features in Congenital Heart Disease"
      • Joint Mathematics Meeting (JMM), 2015
    • "Classification of ECG Frames for Predictive Modeling in Congenital Heart Disease"
      • Keck Annual Research Conference (poster), 2014
    • "Extracting Predictive Information from Real Patient Data"
      • Rice University CAAM Graduate Seminar, 2014

    Papers & Manuscripts

    • “Finding Representative Electrocardiogram Beat Morphologies with CUR.” Hendryx, E., Riviere, B., Sorensen, D., Rusin, C.
      Accepted in the Journal of Biomedical Informatics, December 2017.
      Research code for this paper can be found here.

    • "Identifying ECG Clusters in Congenital Heart Disease." Master's Thesis, Rice University, May 2015. Link here.

    • "Extensions of the Cable Equation Incorporating Spatial Dependent Variations in Nerve Cell Diameter." Foster, A., Hendryx, E., Murillo, A., Salas, M., Morales-Butler, E. J., Suslov, S. K., and Herrera-Valdez, M.
      Manuscript, 2010. Link here.

    Teaching

    In May of 2017, I completed the Graduate Certificate in Teaching and Learning through the Center for Teaching Excellence at Rice University.

    Courses
    • Spring 2018
      • CAAM 336: Differential Equations in Science and Engineering, Instructor of Record
    • Fall 2017
      • CAAM 336 : Differential Equations in Science and Engineering, Instructor of Record
      • CAAM 652 : Topics in Numerical Differential Equations, Guest Instructor (delivered lectures on select methods for data analysis)

    CAAM 336 Supplemental Videos
    As a teaching assistant for CAAM 336 in 2016, I made a few brief videos to supplement lectures and recitation sessions. The links to these videos are below.