Tracy Stepien

Cell Migration

• An approximate Bayesian computation approach for embryonic astrocyte migration model reduction. Bulletin of Mathematical Biology, 86 (2024), 126.
  
• Spreading mechanics and differentiation of astrocytes during retinal development with Timothy W. Secomb. Journal of Theoretical Biology, 549 (2022), 111208.
  
• Using a continuum model to decipher the mechanics of embryonic tissue spreading from time-lapse image sequences: An approximate Bayesian computation approach (Supplementary Material) with Holley E. Lynch, Shirley X. Yancey, Laura Dempsey, and Lance A. Davidson. PLOS ONE, 14 (2019), e0218021.
  
• Existence and uniqueness of similarity solutions of a generalized heat equation arising in a model of cell migration with Hal L. Smith. Discrete and Continuous Dynamical Systems – Series A (DCDS-A), 35 (2015), 3203–3216.
  
• Traveling waves in a one-dimensional elastic continuum model of cell layer migration with stretch-dependent proliferation (Supplementary Material) with David Swigon. SIAM Journal on Applied Dynamical Systems (SIADS), 13 (2014), 1489–1516.
  

Brain Cancer

• Optimal control of combination immunotherapy for a virtual murine cohort in a glioblastoma-immune dynamics model with Hannah G. Anderson, Gregory P. Takacs, Jeffrey K. Harrison, and Libin Rong. Journal of Theoretical Biology, 595 (2024), 111951.
  
• Global stability and parameter analysis reinforce therapeutic targets of PD-L1-PD-1 and MDSCs for glioblastoma (Supplementary Material) with Hannah G. Anderson, Gregory P. Takacs, Duane C. Harris, Yang Kuang, and Jeffrey K. Harrison. Journal of Mathematical Biology, 88 (2024), 10.
  
• A nondegenerate convective-reaction- density-dependent diffusion model of in vitro glioblastoma tumor growth with Erica M. Rutter and Yang Kuang. CSBC/PS-ON Handbook of Mathematical Oncology (2020).
  
• Traveling waves of a Go-or-Grow model of glioma growth with Erica M. Rutter and Yang Kuang. SIAM Journal on Applied Mathematics (SIAP), 78 (2018), 1778–1801.
  
• Mathematical analysis of glioma growth in a murine model (Supplementary Material) with Erica M. Rutter, Barrett J. Anderies, Jonathan D. Plasencia, Eric C. Woolf, Adrienne C. Scheck, Gregory H. Turner, Qingwei Liu, David Frakes, Vikram Kodibagkar, Yang Kuang, Mark C. Preul, and Eric J. Kostelich. Scientific Reports, 7 (2017), 2508.
  
• A data-motivated density-dependent diffusion model of in vitro glioblastoma growth with Erica M. Rutter and Yang Kuang. Mathematical Biosciences and Engineering (MBE), 12 (2015), 1157–1172.
  

Population Dynamics

• Dynamics of a linearly-perturbed May–Leonard competition model with Gabriela Jaramillo and Lidia Mrad. Chaos, 33 (2023), 063121.
  

Entomology

• An agent-based model of biting midge dynamics to understand Bluetongue outbreaks with Shane L. Gladson. Bulletin of Mathematical Biology, 85 (2023), 69.
  
• Moth mating: Modeling female pheromone calling and male navigational strategies to optimize reproductive success with Cole Zmurchok, James B. Hengenius, Rocío Marilyn Caja Rivera, Maria R. D’Orsogna, and Alan E. Lindsay. Applied Sciences, 10 (2020), 6543.
  
• Moth Mating with Rocío Marilyn Caja Rivera, James Hengenius, Cole Zmurchok, Maria D’Orsogna, and Alan Lindsay. Proceedings of the 2018 AMS MRC in Agent-Based Modeling, West Greenwich, RI (2018), 1–3.

Kidney Hemodynamics

• A multicellular vascular model of the renal myogenic response with Maria-Veronica Ciocanel, Ioannis Sgouralis, and Anita T. Layton. Processes, 6 (2018), 89.
  
• Modeling autoregulation of the afferent arteriole of the rat kidney with Maria-Veronica Ciocanel, Aurélie Edwards, and Anita T. Layton. Women in Mathematical Biology Research Collaboration Workshop, NIMBioS, Knoxville, June 2015, (eds. Anita T. Layton and Laura A. Miller), Association for Women in Mathematics Series 8, Springer International Publishing (2017), 75–100.
  
• TGF-mediated dynamics in a system of many coupled nephrons with Saziye Bayram and E. Bruce Pitman. Bulletin of Mathematical Biology, 71 (2009), 1482–1506.
  
• Tubuloglomerular feedback-mediated dynamics in three coupled nephrons SIAM Undergraduate Research Online (SIURO), 2 (2009), 1–25.
  

Heart Mechanics and Circulation

• Investigating Fontan Failure Using Mathematical Modeling with Ferran Brosa Planella, Jen Bryson, Brooks Emerick, Daniel Fong, Casey Johnson, Ayse Kabatas, Greg Murphy, Isaac Tate, and Matthew Doyle. Mathematics in Industry Reports, 34th MPI Workshop, 25–29 June 2018, Claremont, CA, (2021), 1–22.
  
• Numerical methods for the calculation of material parameter values for three-layered aortic valve leaflets with Matthew G. Doyle, Pak-Wing Fok, Huaxiong Huang, Greg Lewis, Sivabal Sivaloganathan, Rebecca Vandiver, and Craig A. Simmons. Proceedings of the 4th Canadian Conference on Nonlinear Solid Mechanics (CanCNSM), Montreal, QC, Canada (2013), 1–8.
• Microindentation of Aortic Valve Leaflets and the Determination of Local Micromechanical Properties with Matthew G. Doyle, Craig A. Simmons, Chris Breward, Helen Byrne, Pak-Wing Fok, Huaxiong Huang, Greg Lewis, Derek Moulton, Stephen O’Keeffe, Don Schwendeman, Siv Sivaloganathan, Jennifer Siggers, Yu-Hau Tseng, and Rebecca Vandiver. Proceedings of the MBI BioSciences Problem-Solving Workshop, Columbus, OH, USA (2012), 1–10.

Education

• Mathematics + Cancer: An undergraduate “bridge” course in applied mathematics (Supplementary Material) with Eric J. Kostelich and Yang Kuang. SIAM Review, 62 (2020) 244–263.
  

Data Mining

• Discovering news frames: An approach for exploring text, content, and concepts in online news sources with Loretta H. Cheeks, Dara M. Wald, and Ashraf Gaffar. International Journal of Multimedia Data Engineering and Management (IJMDEM), 7 (2016), 45–62.   (PDF posted by permission of the publisher, IGI Global, Copyright 2016.)
  
• Discovering news frames: Exploring text, content, and concepts in online news sources to address water insecurity in the Southwest Region with Loretta H. Cheeks and Dara M. Wald. Proceedings of the 17th IEEE International Conference on Information Reuse and Integration (IEEE IRI 2016), Pittsburgh, PA (2016), 454–462.
  

COMAP Mathematical Contest in Modeling

• Fighting the waves: The effect of North Polar ice cap melt on Florida with Amy M. Evans. The UMAP Journal, 29 (2008), 267–284.

Ph.D. Dissertation and Undergraduate Honors Thesis

• Collective Cell Migration in Single and Dual Cell Layers
  University of Pittsburgh, 2013.
• Tubuloglomerular Feedback-Mediated Dynamics in Three Coupled Nephrons
  University at Buffalo, The State University of New York, 2008.

General Interest

• Mathematicians Navigating Parenthood: Lessons Learned, Methodologies, and Useful Solutions That Were Beneficial During the COVID-19 Pandemic with Katharine Gurski, Angela Peace, Olivia Prosper, and Miranda Teboh-Ewungkem. Notices of the American Mathematical Society, 69 (2022), 1918–1922.