Peer-reviewed Articles

Hierarchical clustering of gene-level association statistics reveals shared and differential genetic architecture among traits in the UK Biobank

Melissa R. McGuirl , Samuel Pattillo Smith, Bjorn Sandstede, Sohini Ramachandran. Hierarchical clustering of gene-level association statistics reveals shared and differential genetic architecture among traits in the UK Biobank (2020) GENETICS. Accepted.

Topological data analysis of zebrafish patterns.

Melissa R. McGuirl , Alexandria Volkening, Bjorn Sandstede. Topological data analysis of zebrafish patterns. Proceedings of the National Academy of the Sciences 117 (10) 5113-5124. 2020.

Fast Estimation of Recombination Rates Using Topological Data Analysis

Devon P. Humphreys, Melissa R. McGuirl , Michael Miyagi, Andrew J. Blumberg. Fast Estimation of Recombination Rates Using Topological Data Analysis. GENETICS 211 (4) 1191-1204. 2019.

SE and SNL diagrams: Flexible data structures for MIR

Melissa R. McGuirl, Katherine M. Kinnaird, Claire Savard, and Erin Bugbee. SE and SNL diagrams: Flexible data structures for MIR (2018) Proceedings of the 19th ISMIR conference.

A Topological Analysis of Targeted In-111 Uptake in SPECT Images of Murine Tumors

Damiano, David B. and McGuirl, Melissa R. A Topological Analysis of Targeted In-111 Uptake in SPECT Images of Murine Tumors. Journal of Mathematical Biology (2017) 1432-1416.

Assimilating Eulerian and Lagrangian Data in Traffic-Flow Models

Xia, Chao, Cochrane, Courtney, DeGuire, Joseph, Fan, Bridget, Holmes, Emma, McGuirl, Melissa, Murphy, Patrick, Palmer, Jenna, Carter, Paul, Slivinski, Laura, and Sandstede, Bjorn. Assimilating Eulerian and Lagrangian data in traffic-flow models. Physica D 346 (2017) 59-72.

Theses

Quantifying Patterns in Dynamical Systems and Biological Data

Melissa R. McGuirl. Brown University (2020).

A Topological Analysis of Targeted In-111 Uptake in SPECT Images of Murine Tumors

Melissa R. McGuirl. College of the Holy Cross (2015).

Research Talks

Invited Talks
  • Quantifying Zebrafish Patterns: A Study of Pattern Variability and Robustness, Equadiff Conference, Leiden, The Netherlands. July 2019.
  • A Topological Study of Spatio-temporal Pattern Formation, SIAM Conference on Applications of Dynamical Systems, Snowbird, UT. May 2019.
  • A Topological Study of Spatio-temporal Pattern Formation, The Topology Seminar at Texas State University, San Marcos, TX. November 2018.
  • A Topological Approach to Spatio-temporal Pattern Formation, The 4th Annual Meeting of SIAM Central States Section, Norman, OK. October 2018.

Contributed Talks
  • Topological Data Analysis and Applications, Brown University Math Slam, Providence, RI. April 2018.
  • A Topological Analysis of Model Sensitivity and Classification for Pattern Formation on Zebrafish, Advancing Women’s Impact in Mathematics Symposium, Worcester, MA. April 2018.
  • Data Science and Music Information Research at Brown, North East Music Information Special Interest Group Conference, Providence RI. January 2018.
  • A Topological Analysis of Model Sensitivity for Pattern Formation on Zebrafish, Brown-BU Dynamics and PDE seminar, Boston University, Boston, MA. November 2017.
  • A Topological Analysis of Model Sensitivity for Pattern Formation on Zebrafish, Applied Math Graduate Student Seminar, Brown University, Providence, RI. October 2017.
  • A Topological Analysis of Targeted In-111 Uptake in SPECT Images of Murine Tumors, AMS Session on Mathematical Biology and Related Fields at the MAA/AMS Joint Mathematics Meeting, Seattle, WA. January 2016.
  • The Topological Microstructure of Murine Tumors, AMS Session on Mathematical Biology at the MAA/AMS Joint Mathematics Meeting, San Antonio, TX. January 2015.
  • The Topological Microstructure of Murine Tumors, Medicine Short Talks session at the Women in Mathematics in New England Conference, Northampton, MA. October 2013.
  • The Topological Microstructure of Murine Tumors, Invicro, LLC Image Analysts, Boston, MA. August 2013.

Poster Presentations
  • Hierarchical Clustering of Gene-Level Association Statistics Reveals Differential Genetic Architecture Between Immunological and Metabolic Phenotypes in the UK Biobank, Women in Machine Learning Workshop, Montreal, Quebec. December 2018.
  • Thresholded Hierarchical Clustering of Gene-Level Association Statistics, NSF Tripods PI workshop, Santa Clara, CA. October 2018.
  • Classifying Zebrafish Stripe Patterns using Topological Data Analysis and Multi-class Support Vector Machines, TRIPODS Summer Bootcamp: Topology and Machine Learning, Providence, RI. August 2018.
  • Classifying Zebrafish Stripe Patterns using Topological Data Analysis and Multi-class Support Vector Machines, Women in Machine Learning Workshop Poster Session, Long Beach, CA. December 2017.
  • Modeling Microscopic and Macroscopic Traffic Flow Utilizing the Particle Filter and the Ensemble Kalman Filter, MAA/AMS Joint Mathematics Meeting, San Antonio, TX. January 2015.
  • Modeling Microscopic and Macroscopic Traffic Flow Utilizing the Particle Filter and the Ensemble Kalman Filter, Holy Cross Research Symposium poster session, Worcester, MA, September 2014.
  • The Topological Microstructure of Murine Tumors, MAA/AMS Joint Mathematics Meeting, Baltimore, MD. January 2014.
  • The Topological Microstructure of Murine Tumors, Holy Cross Research Symposium poster session, Worcester, MA, September 2013.