Preprints in review:

• WD Martinson, A Volkening, M Schmidtchen, C Venkataraman, JA Carrillo.
  Linking discrete and continuous models of cell birth and migration.
  Submitted, arXiv:2308.16093, 2023.

* Asterisk denotes undergraduate or postbac students mentored

Publications:

• D Bhaskar, WY Zhang, A Volkening, B Sandstede, IY Wong.
  Topological data analysis of spatial patterning in heterogeneous cell populations: I. Clustering and sorting with varying cell-cell adhesion.
  npj Systems Biology and Applications, 9(43), 2023. (arXiv copy)
• E Cleveland*, A Zhu*, B Sandstede, A Volkening.
  Quantifying different modeling frameworks using topological data analysis: a case study with zebrafish patterns.
  Accepted, SIAM Journal on Applied Dynamical Systems, 2023. (arXiv copy)
• A Volkening.
  A primer on data-driven modeling of complex social systems.
  Accepted, Proceedings of Symposia in Applied Mathematics, 2023. (arXiv copy)
• J Benson, M Bessonov, K Burke, S Cassani, M-V Ciocanel, DB Cooney, A Volkening.
  How do classroom-turnover times depend on lecture hall size?
  Mathematical Biosciences and Engineering, 20(5):9179-9207, 2023. (arXiv copy)
• K Mallory, JR Abrams*, A Schwartz*, M-V Ciocanel, A Volkening, B Sandstede.
  Influenza spread on context-specific networks lifted from interaction-based diary data.
  Royal Society Open Science, 8(191876), 2021.
• A Volkening, DF Linder, MA Porter, GA Rempala.
  Forecasting elections using compartmental models of infection.
  SIAM Review, 62(4):837-865, 2020.
  • Described in a SIAM Research Nugget (Oct. 2020)
  • Covered in an article in Forbes (Oct. 2020)
  • Featured in a press release by SIAM (reproduced in sources including the California Business Journal)
  • Featured in Northwestern Now News (reproduced in sources including SciTechDaily)
• A Volkening.
  Linking genotype, cell behavior, and phenotype: multidisciplinary perspectives with a basis in zebrafish patterns.
  Current Opinion in Genetics and Development, 63:78-85, 2020.
• A Volkening, MR Abbott*, N Chandra*, B Dubois*, F Lim*, D Sexton*, B Sandstede.
  Modeling stripe formation on growing zebrafish tailfins.
  Bulletin of Mathematical Biology, 82:56, 2020. (arXiv copy)
• MR McGuirl, A Volkening, B Sandstede.
  Topological data analysis of zebrafish patterns.
  Proceedings of the National Academy of Sciences of the USA. 117(10):5113-5124, 2020.
  • Covered in an AMS Math in the Media column post (May 2020)
  • Featured in Brown News (reproduced in sources including Furturity and Science Daily)
• Y Chen, JA Gemmer, M Silber, A Volkening.
  Noise-induced tipping under periodic forcing: preferred tipping phase in a non-adiabatic forcing regime.
  Chaos 29(4):043119, 2019. (arXiv copy)
• A Volkening, B Sandstede.
  Iridophores as a source of robustness in zebrafish stripes and variability in Danio patterns.
  Nature Communications 9:3231, 2018.
  • Featured in Ohio State News (reproduced in sources including Phys.org and UPI.com)
  • Recommended by the F1000Prime program here
• A Volkening, B Sandstede.
  Modelling stripe formation in zebrafish: an agent-based approach.
  Journal of the Royal Society Interface 12(112):20150812, 2015.
  • Selected as cover image for Interface Volume 12, Issue 113
  • Featured in Fusion News, Brown News (reproduced in Science Daily and Futurity)
• JL Gevertz, Z Aminzare, KA Norton, J Perez-Velazquez, A Volkening, KA Rejniak.
  Emergence of Anti-Cancer Drug Resistance: Exploring the Importance of the Microenvironmental Niche via a Spatial Model.
  "Applications of Dynamical Systems in Biology and Medicine" (eds. A Radunskaya, T Jackson), IMA Volumes in Mathematics and its Applications, 158, Springer-Verlag: 2015. (arXiv copy).