I am motivated by problems at the intersection of biology and mathematics, and am interested in modeling and simulating physiological processes such as blood coagulation, intracellular transport, and metabolism. In particular, my research interests include dynamical systems, ordinary and partial differential equations, and parameter estimation.
Publications & Preprints
- A. Kent, K. Leiderman, A. C. Nelson, S. Sindi, M. M. Stadt, L. Xiong, and Y. Zhang. “Studying the effects of oral contraceptives on coagulation using a mathematical modeling approach.” Submitted.
- A. C. Nelson and A. L. Fogelson. “Towards understanding the effect of fibrinogen on fibrin gel formation.” Physical Review E, 101(2):024413, 2023.
- A. L. Fogelson, A. C. Nelson, C. Zapata-Allegro, and J. P. Keener. “Development of fibrin branch structure before and after gelation.” SIAM Journal on Applied Mathematics 82(1), 2022.
- A. C. Nelson, M. A. Kelley, L. M. Haynes, and K. Leiderman. “Using Mathematical Modeling to Understand the Fibrin Polymerization Trifecta: Fibrin(ogen), Thrombin, and FXIII.” Current Opinion in Biomedical Engineering, 20(100350), 2021.
- A. C. Nelson, J. P. Keener, and A. L. Fogelson. “Kinetic model of two-monomer polymerization”. Physical Review E, 101(2):022501, 2020.
- J. L. Herlin, A. Nelson, and M. Scheepers. “Using ciliate operations to construct chromosome phylogenies”. Involve, Vol. 9, No. 1, 2016.