See my google scholar profile: https://scholar.google.com/citations?user=srVDyxEAAAAJ&hl=en

Mathematics Publications

 

1.Erica M. Rutter, H. T. Banks, and Kevin B. Flores. Estimating Intratumoral Heterogeneity from Spatiotemporal Data. Journal of Mathematical Biology 77(6-7), 1999-2022, 2018.  doi:10.1007/s00285-018-1238-6

2. Erica M. Rutter, John Lagergren, and Kevin B. Flores. Automated Object Tracing for Biomedical Image Segmentation Using a Deep Convolutional Neural Network. In: International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI), 686–694. Springer, Cham, 2018. doi:10.1007/978-3-030-00937-3_78

3.Erica M. Rutter, Christopher L. Langdale, James A. Hokanson, Franz Hamilton, Hien Tran, Warren M. Grill, and Kevin B. Flores. 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):1636–1644, 2018. doi:10.1109/TNSRE.2018.2854675

4. H.T. Banks, Kevin B. Flores, I. G. Rosen, Erica M. Rutter, Melike Sirlanci, and W. Clayton Thompson. The Prohorov metric framework and aggregate data inverse problems for random PDEs. Communications in Applied Analysis, 23(3):415–446, 2018. doi: 10.12732/caa.v22i3.6

5.Tracy L. Stepien, Erica M. Rutter and Yang Kuang. Traveling Waves of a Go-or-grow Model of Glioma Growth. SIAM Journal of Applied Mathematics, 78(3):1778–1801, 2018. doi:10.1137/17M1146257

6.Tin Phan, Bruce Pell, Erica M. Rutter, Gerardo Chowell, and Yang Kuang. Simple multi-scale modeling of the transmission dynamics of the 1905 plague epidemic in Bombay. Mathematical Biosciences. 301:83–92, 2018. doi:10.1016/j.mbs.2018.04.003

7.Erica M> Rutter, H. T. Banks, Gerald A. LeBlanc, and Kevin B. Flores. Continuous structured population models for Daphnia magna. Bulletin of Mathematical Biology, 79(11):2627-2648, 2017. doi:10.1007/s11538-017-0344-8

8.Adam Mahdi, Erica M Rutter, and Stephen J. Payne. Effects of non-physiological blood pressure artefacts on measures of cerebral autoregulation. Medical Engineering and Physics, 47:218–221, 2017. doi:10.1016/j.medengphy.2017.06.007

9.Erica M. Rutter, Tracy L. Stepien, Barrett J. Anderies, Jonathan D. Placensia, Eric C. Woolf, Adrienne C. Scheck, Gregory H. Turner, Qingwei Liu, David Frakes, Vikram Kodibagkar, Yang Kuang, Mark C. Preul, and Eric J. Kostelich. Mathematical Analysis of Glioma Growth in a Murine Model. Scientific Reports, 7(2508), 2017. doi:10.1038/s41598-017-02462-0

10.Erica M. Rutter and Yang Kuang. Global dynamics of a model of joint hormone treatment with dendritic cell vaccine for prostate cancer. Discrete and Continuous Dynamical Systems: DCDS-B, 22(3):1001–1021, 2017. doi:10.3934/dcdsb.2017050

11.Tracy L. Stepien, Erica M. Rutter, and Yang Kuang. A data-motivated density-dependent diffusion model of in vitro glioblastoma growth. Mathematical Biosciences and Engineering: MBE, 12(6):1157-1172, 2015. doi:10.3934/mbe.2015.12.1157

12.Nikolay L. Martirosyan∗, Erica M. Rutter∗, Wyatt L. Ramey, Eric J. Kostelich, Yang Kuang, and Mark C. Preul. Mathematically modeling the biological properties of gliomas: A review. Mathematical Biosciences and Engineering: MBE, 12(4):879–905, 2015. doi:10.3934/mbe.2015.12.879

Physics Publications

13.Avishek Chakraborty, Derek Bingham, Soma S. Dhavala, Carolyn C. Kuranz, R. Paul Drake, Michael J. Grosskopf, Erica M. Rutter, Ben R. Torralva, James P. Holloway, Ryan G. McClarren, and Bani K. Mallick Emulation of Numerical Models with Over-Specified Basis Functions. Technometrics, 59(2):153–164, 2017. doi:10.1080/00401706.2016.1164078

14.Robert B. Gramacy, Derek Bingham, James P. Holloway, Michael J. Grosskopf, Carolyn C. Kuranz, Erica Rutter, Matt Trantham, and Paul R. Drake. Calibrating a large computer experiment simulating radiative shock hydrodynamics. The Annals of Applied Statistics, 9(3):1141- 1168, 2015. doi:10.1214/15-AOAS850

15.Joslin Goh, Derek Bingham, James P. Holloway, Michael J. Grosskopf, Carolyn C. Kuranz, and Erica Rutter. Prediction and computer model calibration using outputs from multi-fidelity simulators. Technometrics, 55(4):501–512, 2013. doi:10.1080/00401706.2013.838910

16.Avishek Chakrabortty, Bani K. Mallick, Ryan G. McClarren, Carolyn C. Kuranz, Derek Bingham, Michael J. Grosskopf, Erica M. Rutter, Hayes F. Stripling, and R. Paul Drake. Spline-based emulators for radiative shock experiments with measurement error. Journal of the American Statistical Association, 108(502):411–428, 2013. doi:10.1080/01621459.2013.770688

17.Carolyn C. Kuranz, R. Paul Drake, Christine M. Krauland, Donna C. Marion, Michael J. Grosskopf, Erica Rutter, Ben Torralva, James P. Holloway, Derek Bingham, Joslin Goh, et al. Initial conditions of radiative shock experiments). Physics of Plasmas (1994-present), 20(5):056321, 2013.  doi:10.1063/1.4805021

18.Erica M. Rutter, Michael J. Grosskopf, Guy Malamud, Carolyn C. Kuranz, Eric C. Harding, Paul A. Keiter, and R. Paul Drake. Comparison between kelvin–helmholtz instability experiments on omega and simulation results using the crash code. High Energy Density Physics, 9(1):148–151, 2013. doi:10.1016/j.hedp.2012.12.002

19. Michael J. Grosskopf, R. Paul Drake, Carolyn C. Kuranz, Erica M. Rutter, James S. Ross, Nathan L. Kugland, Chris Plechaty, Bruce A. Remington, Anatoly Spitkovsky, et al. Simulation of laser- driven, ablated plasma flows in collisionless shock experiments on omega and the nif. High Energy Density Physics, 9(1):192–197, 2013. doi:10.1016/j.hedp.2012.11.004

20.Hayes F. Stripling, Ryan G. McClarren, Carolyn C. Kuranz, Michael J. Grosskopf, Erica Rutter, and Ben R. Torralva. A calibration and data assimilation method using the bayesian mars emulator. Annals of Nuclear Energy, 52:103–112, 2013. doi:10.1016/j.anucene.2012.08.025

21.Bruce Fryxell, Erica Rutter, and Eric S. Myra. Simulations of laser experiments of radiative and non-radiative shocks. High Energy Density Physics, 8(2):141–149, 2012. doi:10.1016/j.hedp.2011.12.002

22.Ryan G. McClarren, Duchwan Ryu, R. Paul Drake, Michael Grosskopf, Derek Bingham, Chuan-Chih Chou, [and 7 others, including Erica M. Rutter]. A physics informed emulator for laser-driven radiating shock simulations. Reliability Engineering & System Safety, 96(9):1194–1207, 2011. doi:10.1016/j.ress.2010.08.012

23.R. Paul Drake, Forrest W. Doss, Ryan G. McClarren, Marvin L. Adams, Nancy Amato, Derek Bingham, Chuan-Chih Chou, [and 29 others, including Erica M. Rutter]. Radiative effects in radiative shocks in shock tubes. High Energy Density Physics, 7(3):130–140, 2011. doi:10.1016/j.hedp.2011.03.005

Peer-Reviewed Conference Proceedings

24.Hayes F. Stripling, Ryan G. McClarren, Carolyn C. Kuranz, Michael J. Grosskopf, Erica Rutter, and Ben R. Torralva. Calibration of uncertain inputs to computer models using experimentally measured quantities and the BMARS emulator. In Proceedings of international conference on mathematics and computational methods applied to nuclear science and engineering. Rio de Janeiro, Brazil, 2011.

Pedagogical Materials

Jay P. Abramson and Valeree Falduto. Precalculus. Openstax College, 2014. Link.

Jed Harmon. Calculus. Openstax College, 2016. Calculus Volume 1. Calculus Volume 2. Calculus Volume 3.

Thesis

Erica M. Rutter. A Mathematical Journey of Cancer Growth. PhD Thesis, Arizona State University, 2016. Link: A Mathematical Journey of Cancer Growth

Submitted

Sangeeta Warrier, Erica M. Rutter, and Kevin B. Flores. Multitask Recurrent Neural Networks for Predicting Bladder Pressure with Time Series Data. Submitted Feb 3, 2019, Under Review.

John Lagergren, John T. Nardini, G. Michael Lavigne, Erica M. Rutter, and Kevin B. Flores. Learning partial differential equations for biological transport models from noisy spatiotemporal data." Submitted Feb 19, 2019, Under Review. arxiv.org/abs/1902.04733