Publications & Talks

Publications and presentations

Journal articles and conference presentations. Awards associated with a presentation are noted alongside it.

Publications

  1. 2026

    Multiple timescale dynamics of conductance-based models of brainstem locomotor neurons

    A. K. Thomas & J. E. Rubin

    arXiv:2603.11467, under review at SIAM Life Sciences

  2. 2025

    XPPLORE: Import, visualize, and analyze XPPAUT data in MATLAB

    M. Martin*, A. K. Thomas* & G. B. Ermentrout  *equal contribution

    International Journal of Bifurcation and Chaos, 35(13), 2550165

Presentations

  1. 2026

    Mechanistic modeling and dynamics analysis of brainstem locomotor neurons to study motor recovery in Parkinson’s disease

    A. K. Thomas, J. E. Rubin

    American Conference on Pharmacometrics (ACoP), National Harbor, MD

    ISoP Mathematics and Computational Sciences (MCS) SIG Award

  2. 2026

    Modeling and analyzing pedunculopontine neurons and the impact of their projections on respiratory patterning

    A. K. Thomas, J. E. Rubin

    SIAM Conference on the Life Sciences, Minisymposium MS31, Cleveland, OH

  3. 2025

    Calcium currents shape PPN response to stimulation: A computational perspective

    A. K. Thomas, J. E. Rubin, M. Fallah, R. C. Evans, A. H. Gittis

    Society for Neuroscience, San Diego, CA

  4. 2025

    Cellular and parkinsonian network dynamics in a conductance-based model of the pedunculopontine nucleus in rodents

    A. K. Thomas, J. E. Rubin, M. Fallah, R. C. Evans, A. H. Gittis

    SIAM Conference on Applications of Dynamical Systems, Denver, CO

    Best Poster (Red Sock) Award

  5. 2025

    Ionic currents and the dynamics of the pedunculopontine nucleus

    A. K. Thomas, J. E. Rubin, M. Fallah, R. C. Evans, A. H. Gittis

    CNBC Brain Bag, Pittsburgh, PA

  6. 2024

    Computational model of basal ganglia projections to brainstem for long-term motor recovery in parkinsonian rodents

    A. K. Thomas, M. Fallah, R. C. Evans, A. H. Gittis, J. E. Rubin

    International Conference on Mathematical Neuroscience (ICMNS), Dublin, Ireland

  7. 2023

    Computational model of basal ganglia projections to brainstem in long-term motor recovery in Parkinson’s disease

    A. K. Thomas, M. Fallah, R. C. Evans, A. H. Gittis, J. E. Rubin

    Association for Women in Mathematics (AWM) Student Seminar Series, University of Pittsburgh

  8. 2021

    Integration of proprioceptive feedback for forward locomotion in Caenorhabditis elegans network model

    A. K. Thomas, M. Clark, C. Seggern, T. Hong, X. Zhao

    Joint Mathematics Meetings (JMM)

    Outstanding Poster Award