A mathematical journey of cancer growth
Rutter, Erica Marie. 2016. A mathematical journey of cancer growth. Arizona State University.
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Erica Rutter
Research
My research interests lie in the field of mathematical biology and machine learning for biomedical imaging. Mathematical biology uses mathematics and statistical techniques to explain and predict biological phenomena. My mathematical interests include formulation, analysis, parameter estimation, and...
A tutorial review of mathematical techniques for quantifying tumor heterogeneity
Everett, Rebecca, Kevin B Flores, Nick Henscheid, John Lagergren, Kamila Larripa, Ding Li, John T Nardini, Phuong TT Nguyen, Bruce Pitman, and Erica M Rutter. 2020. “A tutorial review of mathematical techniques for quantifying tumor heterogeneity”. Mathematical Biosciences and Engineering 17 (4).
Learning equations from biological data with limited time samples
Nardini, John T, John H Lagergren, Andrea Hawkins-Daarud, Lee Curtin, Bethan Morris, Erica M Rutter, Kristin R Swanson, and Kevin B Flores. 2020. “Learning equations from biological data with limited time samples”. Bulletin of Mathematical Biology 82 (9): 1-33.
Automated object tracing for biomedical image segmentation using a deep convolutional neural network
Rutter, Erica M, John H Lagergren, and Kevin B Flores. 2018. Automated object tracing for biomedical image segmentation using a deep convolutional neural network. Springer.
Traveling waves of a go-or-grow model of glioma growth
Stepien, Tracy L, Erica M Rutter, and Yang Kuang. 2018. “Traveling waves of a go-or-grow model of glioma growth”. SIAM Journal on Applied Mathematics 78 (3): 1778-1801.
Detection of bladder contractions from the activity of the external urethral sphincter in rats using sparse regression
Rutter, Erica M, Christopher L Langdale, James A Hokanson, Franz Hamilton, Hien Tran, Warren M Grill, and Kevin B Flores. 2018. “Detection of bladder contractions from the activity of the external urethral sphincter in rats using sparse regression”. IEEE Transactions on Neural Systems and Rehabilitation Engineering 26 (8): 1636-44.
Effects of non-physiological blood pressure artefacts on cerebral autoregulation
Mahdi, Adam, Erica M Rutter, and Stephen J Payne. 2017. “Effects of non-physiological blood pressure artefacts on cerebral autoregulation”. Medical Engineering & Physics 47: 218-21.
Continuous structured population models for Daphnia magna
Rutter, Erica M, HT Banks, Gerald A LeBlanc, and Kevin B Flores. 2017. “Continuous structured population models for Daphnia magna”. Bulletin of Mathematical Biology 79 (11): 2627-48.