Please feel free to download a pdf of my CV.

Education

Aug 2012-Aug 2016: PhD in Applied Mathematics, Arizona State University

Committee: Yang Kuang (co-chair), Eric Kostelich (co-chair), David Frakes, Carl Gardner, and Zdzislaw Jackiewicz.
Dissertation title: A Mathematical Journey of Cancer Growth

Sept 2005- April 2009: B.Sc in Applied Mathematics and Japanese, University of Michigan

Research Employment

Aug 2016-Current: Postdoctoral Researcher at North Carolina State University

Developed machine learning algorithms to increase data collection efficiency. Integrated data collection, modeling, and uncertainty quantification to answer biological questions about cancer growth and migration and ecotoxicological modeling of Daphnia magna. Visit lab website for more information.

May 2009-July 2012: Research Technician at University of Michigan

Contributed to code development (in FORTRAN) for modeling astrophysical phenomena at the Center for Radiative Shock Hydrodynamics (CRASH) at the University of Michigan. Collected experimental data at the OMEGA laser at Rochester Institute of Technology.

Research Opportunities

Jan 2014-May 2014: Research Assistant at Arizona State University

Converted Magnetic Resonance (MR) images of murine brains into computational domains using medical imaging software Mimics. Simulated models of glioma progression and compared with collected data.

May 2008-Aug 2009: SUBMERGE Research Participant at University of Michigan

Selected for a year-long research opportunity exploring Bayesian network approaches to diagnosing rotator cuff tears non-invasively based on individualized patient metrics such as patient strength, age, gender, and range of motion.

May 2007-Aug 2007: REU at North Carolina State UniverSity

Selected for summer REU investigating sensitivity analysis of parameters in a blood flow model.

Publications

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, HT 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 dif- fusion 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. McClar- ren, and Bani K. Mallick Emulation of Numerical Models with Over-Speci ed Basis Functions. Technometrics, 59(2):153–164, 2017. doi:10.1080/00401706.2016.1164078

14.Robert B Gramacy, Derek Bingham, James Paul Holloway, Michael J Grosskopf, Carolyn C Kuranz, Erica Rutter, Matt Trantham, and Paul R Drake. Calibrating a large computer exper- iment 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 delity 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 exper- iments 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 ows 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 experimen- tally 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 Valereee 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

Scholarships, Grants and Awards

Fall 2016- Spring 2017: Arizona State University Dissertation Fellowship

Awarded tuition and stipend for the last year of graduate school in a competitive university-wide fellowship awarded by Arizona State University. Award Amount: $17,000. Award to less than 25 students per year.

April 2016: Graduate and Professional Student Association Outstanding Research Award

Research merit award based on interdisciplinary of research, judged by graduate peers and faculty from various departments. Award amount: $500.

Dec. 2015:  Graduate and Professional Student Association Teaching Excellence Award

Nominated for award by current students and/or faculty observers. Wrote essays regarding teaching philosophy and was observed in-class by several graduate peers from a variety of disciplines. Awarded to <25% of nominees.

June 2015:  Outstanding Poster Award

Mathematical Methods in Systems Biology conference poster award (awarded to 3 posters). Award Amount: €150

Fall 2014: GAANN Graduate Student Fellowship

Awarded tuition and stipend for the fall semester of 2014. Funding from US Department of Education: Graduate Assistantships in Areas of National Need. Award Amount: $9,765.

Summer 2013: Summer Block Grant Recipient

Awarded departmental funding (School of Mathematical and Statistical Sciences at Arizona State University) for written proposal to perform summer research. Award Amount: $6,644.

 

Travel Awards

Sept 2018: MICCAI SOCIETY NIH Travel award
June 2016: Graduate and Professional Student Association Travel Award
July 2015:  Society for Mathematical Biology Landahl travel Award

Presentations and Invited Talks

Oral Presentations

  1. (Invited). “Estimating Intratumoral Heterogeneity from Spatiotemporal Data” presented at the Banff International Research Station - Casa Matemática Oaxaca (BIRS-CMO): Mathematical Challenges in the Analysis of Continuum Models for Cancer Growth, Evolution and Therapy Workshop; 2018 Nov 26–30; Oaxaca, Mexico.
  2. (Invited). "Modeling and Estimating Biological Heterogeneity in Spatiotemporal Data" presented at the Statistical and Applied Mathematical Sciences Institute (SAMSI) E&O: Undergraduate Workshop; 2018 Oct 22-23; Raleigh, NC.
  3. (Invited). “Optimal Experimental Design for Daphnia magna Age-Structured Models” presented at the Society for Mathematical Biology Annual Meeting; 2017 July 17–20; Salt Lake City, Utah.
  4. “Influence of Non-Physiological Blood Pressure Artifacts on Cerebral Autoregulation” presented at the AMS Special Session on Mathematics in Physiology and Medicine II, Joint Mathematical Meetings; 2016 Jan 4-7; Atlanta, Georgia
  5. (Invited) A Mathematical Model of GL261-Luc2 Glioma Growth in Mice” presented at SIAM Conference on the Life Sciences; 2016 July 11-14; Boston, MA.
  6. (Invited) “Global Dynamics of a Joint Hormone Therapy and Dendritic Cell Vaccine for Late-Stage Prostate Cancer”, presented at the 11th AIMS Conference on Dynamical Systems, Differential Equations, and Applications; 2016 July 1-5; Orlando, FL.
  7. “Global Dynamics of a Joint Hormone Therapy and Dendritic Cell Vaccine for Late-Stage Prostate Cancer”, presented at BAMM! (Biology and Medicine through Mathematics); 2016 May 20-22; Richmond, VA.
  8. “Exploring Partial Differential Equation Models of Glioma Growth”, presented at the Partial Differential Equation Seminar at Arizona State University, March 25, 2016.
  9. “Global Dynamics of a Joint Hormone Therapy and Dendritic Cell Vaccine for Late-Stage Prostate Cancer”, presented at the Mathematical Biology Seminar at Arizona State University, January 22, 2016.
  10. “A Mathematical Model of GL261-Luc2 Glioma Growth in Mice”, presented at Joint Math- ematical Meetings; 2016 Jan 6-9; Seattle, Washington.

Posters

  1. “Automated Object Tracing for Biomedical Image Segmentation Using a Deep Convolutional Neural Network”, presented at the International Conference on Medical Image Computing and Computer Assisted Intervention (MICCAI); 2018 Sept 16-20; Granada, Spain.
  2. “Modeling Tumor Heterogeneity”, presented at the Precision Medicine (PMED) Opening Work- shop; 2018 August 14; Raleigh, NC.
  3. “Mathematically Modeling Populations of Daphnia magna”, presented at the Postdoctoral Research Symposium; 2017 May 24; Raleigh, NC.
  4. “Global Dynamics of a Joint Hormone erapy and Dendritic Cell Vaccine for Late-Stage Prostate Cancer”, presented at the Association of Women in Mathematics Workshop at Joint Mathematical Meetings; 2016 Jan 6-9; Seattle, Washington.
  5. “Data-Validated Model of Glioblastoma Growth in Murine Brains”, presented at Society of Mathematical Biology Annual Meeting; 2015 June 30-July 3; Atlanta, Georgia
  6. “Analysis of Dendritic Cell Vaccine erapy with Intermittent Androgen Deprivation er- apy for Late-Stage Prostate Cancer”, presented at Mathematical Methods in Systems Biology; 2015 June 15-19; Dublin, Ireland. Outstanding Poster Award.
  7. “Data-Motivated Models of in vitro Glioblastoma Growth”, presented a Micro and Macro Systems in Life Sciences; 2015 June 8-13; Bedlewo, Poland.
  8. “A Data-Validated Density-Dependent Diffusion model of Glioblastoma Growth” at MBI (Mathematical Biosciences Institute) Cancer and the Immune System Workshop; 2014 November 17-21; Columbus, Ohio.
  9. “Kelvin-Helmholtz Instability Modeling using the CRASH Code”, presented at 9th Interna- tional Conference on High Energy Density Laboratory Astrophysics; 2012 April 30-May 4; Tallahassee, Florida.
  10. “Modeling the Kelvin-Helmholtz Instability in High-Energy-Density Experiments using the CRASH Code”, presented at 53rd American Physical Society Annual Division of Plasma Physics Meet- ing; 2011 November 14-18; Salt Lake City, Utah.
  11. “Early-Time Radiation-Hydrodynamic Modeling of Radiative Shock Experiments”, presented at the 52nd American Physical Society Annual Division of Plasma Physics Meeting; 2010 November 8-12; Chicago, Illinois.
  12. “Expected Variation in Shock Behavior due to Experimental Variability” at 8th International Conference on High Energy Density Laboratory Astrophysics; 2010 March 15-18; Pasadena, California.
  13. “1D Hyades Study of Varying Input Parameters of a Gaussian Distribution” presented at the 51st American Physical Society Annual Division of Plasma Physics Meeting; 2009 November 2-6; Atlanta, Georgia.

Workshops and Non-Presentation Conferences

  1. Program on Statistical, Mathematical, and Computational Methods for Precision Medicine (PMED) Opening Workshop; 2018 August 13–17; Raleigh, NC.
  2. Tutorial Workshop on Parameter Estimation for Biological Models; 2018 July 25–28; Raleigh, NC.
  3. International Conference on Machine Learning (ICML); 2018 July 10–15; Stockholm, Sweden.
  4. Cancer Systems Biology Short Course at the Center for Cancer Systems Biology UC Irvine; 2018 May 7–26; Irvine, CA.
  5. Stoichiometric Ecotoxicology Workshop at NimBios; 2018 Jan 17–29; Knoxville, TN.
  6. Neural Information Processing Systems (NIPS); 2017 Dec 4–9; Long Beach, CA.
  7. International Conference on Machine Learning (ICML); 2017 Aug 6–11; Sydney, Australia.
  8. Neural Information Processing Systems (NIPS); 2016 Dec 5–10; Barcelona, Spain.
  9. Tutorial Workshop on Parameter Estimation for Biological Models; 2018 July 28–31; Raleigh, NC.
  10. Mathematics in Physiology and Medicine, Mathematics Research Communities (MRC); 2016 June 19–25; Snowbird, UT.
Teaching Employment
(Fall 2017) Instructor of Record for Differential Equations for the Life Sciences at North Carolina State University

Developed curriculum for differential equations course focused on applications to biological problems and formulated for biology majors. Prepared lectures, homework, and exams. Designed course to investigate inverse problems applied to real-world data including a final project where students designed their own models and collected data.

(Fall 2015/Spring 2016) Instructor of Record for Calculus for Engineers II at Arizona State University

Created and presented lectures for 150 minutes per week. Administer and graded written and online homework and exams for coordinated course.  Class consisted of 40 undergraduate students.

(Summer 2015) Instructor of Record for Calculus for Engineers I at Arizona State University

Developed curriculum for Calculus I in an accelerated, uncoordinated, summer course. Prepared, administered, and graded lectures, homework, and exams. Course consisted of 32 undergraduate students.

(Spring 2013/Fall 2014) Lab Instructor for Differential Equations and Linear Algebra at Arizona State University

Introduced MATLAB and basic coding principles to students relevant to their coursework (either differential equations or linear algebra). Course consisted of one-hour meetings 6 times per semester. Class consisted of 4 sections of 45 students each.

(Fall 2012) Teaching Assistant for Calculus & Analytic Geometry I at Arizona State University

Planned and led recitations for Calculus I for two sections of 30 students.  Devised classwork to engage and deepen student understanding through group work, board work, quizzes, and games.

Teaching Development

(Summer 2015) Teaching Assistant Trainer at Arizona State University

Selected to train incoming graduate student TA's in a week-long session on approaches to running recitations, preparing lectures, and grading. Observed and gave feedback for their lectures and helped match TA's to their corresponding assignments.

(Fall 2013-Spring 2015) Textbook Writer for OpenStax

Created End-of-Section textbook problems for open-source textbooks for undergraduate mathematics (Precalculus and Calculus I, II, and III -- see pedagogical materials). Emphasized application and technological problems.

Mentoring Experience

(Fall 2016-Current) Mentoring at Flores Lab at North Carolina State University

Mentored two undergraduates in approaches to laboratory experiments and computational image processing. Observed and assisted in data collection that ultimately led to publications with undergraduates as co-authors.

(Summer 2016) Graduate mentor for the Mentoring through Critical Transition Points Undergraduate Research Program at Arizona State University

Organized and presented a boot-camp style introduction to differential equations, modeling, and MATLAB programming for undergraduate researchers at Arizona State University (approximately 20 students). Assisted for 8 hours per week answering student research questions and suggesting possible research avenues to explore.

(May 2009-July 2012) Mentoring undergraduates at University of Michigan

Interviewed and assisted in hiring undergraduate researchers for a large physics laboratory. Mentored and supervised undergraduate researchers, included writing introductory materials and help guide to acclimate students to research and computation. Answered day-to-day questions and assisted in student paper and presentation preparations.

Professional Development

(Fall 2018-Spring 2019) Best Practices: Graduate Student Mentoring, North Carolina State University

Multiple-session workshops on mentoring techniques for new faculty and postdocs. Discuss

(Feb 2018) Write Winning NIH Grant Proposals, NIEHS

Day-long seminar comprehensively covering grant-writing strategies.

(July 2017) Society of Mathematical Biology Mentoring Workshop

Mentored graduate student and answered their questions about applying to postdoctoral positions. Also received mentoring from faculty members on how to approach tenure-track applications and interviews.

(Fall 2015-Spring 2016) Preparing Future Faculty, Arizona State University

2-credit course including attending various panels discussions addressing themes such as excellence in teaching , presentation techniques, approaches to grant writing, and job materials.

(January 2016) Association of Women in Mathematics Workshop

Presented at a special poster session and met with faculty mentors sharing our mathematical interests to discuss carrier advice and opportunities.

(July 2015) Society of Mathematical Biology Mentoring Workshop

Discussed career opportunities and attended talks on how to create job materials, prepare for interviews. Met with mentor to discuss career directions and how to approach our goals.

Service

National
Served as reviewer for the following journals:

University-Level

Member of the Postdoc Research Symposium Organization committee (2017–2018). Involved in organizing an all-day symposium showcasing postdoctoral research at Duke, University of North Carolina and North Carolina State University

Outreach

Volunteered at “BugFest”, hosted at the Raleigh Natural Science Museum in 2016, 2017, 2018 at the “Math Doesn’t Bug Me” Booth. Introduced kids and parents to the fun things that can be done with math.

Research Skills

Computational

Programming Languages: MATLAB, FORTRAN, python, tensorflow, keras
Computational Skills: Supercomputing experience, bash/shell scripting
Operating Systems: Windows, Mac, Linux/Unix

Wet Lab/Hardware

Lab Equipment Proficiency: Spectrophotometer, D.O./ph readings
Electronics: Building computer workstations with GPUs, 3D printing design and experience, robot design and building experience

Professional Memberships

American Mathematical Society
Society of Mathematical Biology
Association of Women in Mathematics