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A nondegenerate convective-reaction-density-dependent diffusion model of in vitro glioblastoma tumor growth
Stepien, Tracy L, Erica M Rutter, and Yang Kuang. 2020. “A Nondegenerate Convective-Reaction-Density-Dependent Diffusion Model of in Vitro Glioblastoma Tumor Growth”. BioRxiv.
Learning partial differential equations for biological transport models from noisy spatio-temporal data
Lagergren, John H, John T Nardini, Michael Lavigne, Erica M Rutter, and Kevin B Flores. 2020. “Learning Partial Differential Equations for Biological Transport Models from Noisy Spatio-Temporal Data”. Proceedings of the Royal Society A 476 (2234): 20190800.
Estimating intratumoral heterogeneity from spatiotemporal data
Rutter, EM, Harvey Thomas Banks, and KB Flores. 2018. “Estimating Intratumoral Heterogeneity from Spatiotemporal Data”. Journal of Mathematical Biology 77 (6): 1999-2022.
Emulation of numerical models with over-specified basis functions
Chakraborty, Avishek, Derek Bingham, Soma S Dhavala, Carolyn C Kuranz, Paul Drake, Michael J Grosskopf, Erica M Rutter, et al. 2017. “Emulation of Numerical Models With Over-Specified Basis Functions”. Technometrics 59 (2): 153-64.
Radiative effects in radiative shocks in shock tubes
Drake, RP, FW Doss, RG McClarren, ML Adams, N Amato, D Bingham, CC Chou, et al. 2011. “Radiative Effects in Radiative Shocks in Shock Tubes”. High Energy Density Physics 7 (3): 130-40.
Stoichiometric Ecotoxicology for a Multisubstance World
Peace, Angela, Paul C Frost, Nicole D Wagner, Michael Danger, Chiara Accolla, Philipp Antczak, Bryan W Brooks, et al. 2021. “Stoichiometric Ecotoxicology for a Multisubstance World”. BioScience 71 (2): 132-47.
The Prohorov Metric Framework and aggregate data inverse problems for random PDEs
Banks, HT, KB Flores, IG Rosen, EM Rutter, Melike Sirlanci, and Clayton Thompson. 2018. “The Prohorov Metric Framework and Aggregate Data Inverse Problems for Random PDEs”. Commun. Appl. Anal 22: 415-46.
Mathematically modeling the biological properties of gliomas: A review
Martirosyan, Nikolay L, Erica M Rutter, Wyatt L Ramey, Eric J Kostelich, Yang Kuang, and Mark C Preul. 2015. “Mathematically Modeling the Biological Properties of Gliomas: A Review”. Mathematical Biosciences & Engineering 12 (4): 879.