Research

My Research Interests

I love physics, and earned a minor in physics as an undergraduate. Studying applied math has allowed me to stand on the border between math and physics -and I love it here because I basically have a passport between disciplines. It allows me to study multiple subjects and cross borders between not only math and physics, but also biology, chemistry, engineering, computer science – it’s fantastic!

My PhD advisor, Arnold Kim, and I are currently working on problems studying light propagation in biological tissues governed by the Radiative Transport Equation. We model backscattered light from layered tissue composed of a slab on a semi-infinite half space. Our current work utilizes the corrected diffusion approximation which applies a boundary layer solution to the standard diffusion approximation and has shown significant improvement in data close to the source. This means that I currently am able to combine my interests in math, physics, and biology for the purposes of our research.

Publications

1. S. B. Rohde and A. D. Kim, “Backscattering of continuous and pulsed beams” SIAM MMS (in press).

2. S.B. Rohde, “Modeling diffuse reflectance measurements of light scattered by layered tissues,” PhD thesis, University of California, Merced (2014). 81 pages; 3627669.

3. S. B. Rohde and A. D. Kim, “Modeling the diffuse reflectance due to a narrow beam incident on a turbid medium,” J. Opt. Soc. Am. A 29, 231-238 (2012).

4. S. B. Rohde and A. D. Kim, “A convolution model of the diffuse reflectance for layered tissues,” Opt. Lett. 39, 154-157 (2014).

Presentations

Invited Talks

1. March 15, 2013. The Corrected Diffusion Approximation at California State University, Chico. A presentation of my research for the Physics faculty and students.

2. May 29, 2012. Corrected Diffusion Approximation in Layered Tissues in Portland, OR for the Optics Group held jointly by OHSU and Portland State University. A presentation of my current research.

3. September 30, 2011. Modeling Light Propagation in Tissue at California State University, Chico. A presentation of my research for the Mathematics faculty and students.

4. November 5, 2010. Modeling Light Propagation in Tissue at California State University, Chico. A presentation of my research for the Physics faculty and students.

5. March 31, 2010. Foundations for using the Radiative Transport Equation to scan tissue for early stage cancer cells at University of California, Merced for the SAMPLe Seminar Series.

6. November 10, 2009. Applied Mathematics Graduate Studies at California State University, Chico. A presentation about our faculty and Applied Mathematics graduate program for the Mathematics faculty and students. I also sat on a panel with other graduate students to discuss my experience as a graduate student at UC Merced.

7. November 2005. Dancing Mathematics at California State University, Chico. A fun presentation about math and dance for the faculty and students interested in mathematics.

Contributed Talks

1. January 7, 2017. Balancing online work and written work in calculus and general studies courses at Joint Mathematics Meetings in Atlanta, GA.

2. June 24, 2016. Determining Optical Properties of Epithelial Tissues with an Obliquely Incident Beam at the European Conferences on Biomedical Optics: Diffuse Optical Imaging Conference in Munich, Germany.

3. May 20, 2012. Corrected Diffusion Approximation in Layered Tissues at SIAM Imaging Science conference in Philadelphia, PA.

Math Club Talks

1. March 2, 2017. Mathematical Modeling at Metropolitan State University of Denver for faculty and students attending the Math Club Talk.

2. September 11, 2015. Modeling Light Propagation in Biological Tissues at Metropolitan State University of Denver for faculty and students attending the Math Club Talk.

Poster Presentations

1. May 1, 2012. Corrected Diffusion Approximation in Layered Tissues at OSA BIOMED conference in Miami, FL.

And here’s a comic by xkcd: