About me

I am a fifth year applied math PhD student at North Carolina State University. My main research involves quantifying osteoporosis levels in human cortical bone. This work involves modeling the attenuation of ultrasonic waves, gathering experimental data, formulating and solving optimization problems to quantify porosity. The ultimate goal is to use this non-invasive, relatively cheap ultrasound to diagnose patients in-vivo. I have also spent a summer working at Applied Research Associates (ARA) in Albuquerque, NM. Here, I worked to help quantify uncertainty in warhead design and to reformulate the material models being used in impact simulations.


Research Interests

My research interest include optimization and inverse problems, mathematical modeling, uncertainty quantification, and numerical analysis. I enjoy physics applications of applied math as well as the computational aspects of problem solving.

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Publications

  1. R.D. White, A. Alexanderian, O. Yousefian, M. Muller. Modeling Frequency Dependent Ultrasound Attenuation in Cortical Bone: Solving Direct and Inverse Problems. IEEE International Ultrasonics Symposium (IUS), 2020.
  2. R.D. White, A. Alexanderian, O. Yousefian, Y. Karbalaeisadegh, K. Bekele-Maxwell, A. Kasai, M. Talmant, Q. Grimal, H.T. Banks, M. Muller. Using Ultrasonic Attenuation in Cortical Bone to Infer Distributions of Pores. In Progress to be submitted to J. Inverse Problems. 2020.
  3. R.D. White, O. Yousefian, A. Alexanderian, H.T. Banks, M. Muller. Inferring pore radius and density from ultrasonic attenuation using physics-based modeling. Submitted to Bone Journal. 2020.
  4. R.D. White, Danny Fajardo, Craig Doolittle, H.T. Banks. Quantifying Uncertainty in Warhead Design: How machining uncertainty affects volume and center of mass. Journal of Verification, Validation, and Uncertainty Quantification. In Review. Dec 2019.
  5. O. Yousefian, R.D. White, H.T. Banks, and M. Muller. Estimation of parameters quantify- ing porosity in random porous structures using ultrasonic attenuation: Solving the inverse problem. The Journal of the Acoustical Society of America. Vol 145 (3), 2019.
  6. O. Yousefian, R.D. White, H.T. Banks, and Marie Muller. Inferring porosity from frequency dependent attenuation in cortical bone mimicking porous media. IEEE International Ultrasonics Symposium (IUS), 2018.
  7. H.T. Banks, R.A. Everett, N. Murad, R.D. White, J. E. Banks, B. N. Cass, J. A. Rosenheim. Optimal design for dynamical modeling of pest populations. Mathematical Biosciences & Engineering, Vol 15 (4), 2018.
  8. T. Rieger, R. Allen, L. Bystricky, Y. Chen, G. Colopy, Y. Cui, A. Gonzalez, Y. Liu, R.D. White, R.A. Everett, H. T. Banks, C. Musante. Improving the generation and selection of virtual populations in quantitative systems pharmacology models. Progress in Biophysics and Molecular Biology. Vol 139, 2018.
  9. O.Yousefian, R.D. White, H.T. Banks, and M. Muller. Ultrasonic attenuation spectroscopy and dispersion characteristics in cortical bone. IEEE International Ultrasonics Symposium (IUS), 2017.
  10. R. D. White. A Physiologically-Based Pharmacokinetic Model for Vancomycin. SIAM Undergraduate Research Online (SIURO). Vol 9, 2016.