I am an applied mathematician interested in mathematical modeling in physics and biology. In particular, I am interested in fluid mechanics when the Reynolds number is approximately one. Currently I am studying particle migration in inertial microfluidic devices. I am also interested in laminar flow around hairs.
I am an NSF postdoctoral fellow at MIT.Office: 3-237BEmail: kthood @ mit.edu
Jan 2018: This spring I am teaching 2.087 Engineering Math and ODEs. The course website is on Stellar.
Nov 2017: I am presenting at DFD in Denver, "Biomimetic model systems of rigid hair beds: Part I - Theory."
July 2017: New paper submitted to the arXiv: "Pairwise interactions in inertially-driven one-dimensional microfluidic crystals" with M. Roper.
May 2017: Additional code for inertial lift force in rectangular channels with AR = 4, 8, and 9 is now available on github.
Matlab code for the inertial lift force on a particle in rectangular channels with aspect ratios AR = 1, 2, 4, 8, and 9 available on github.
Mathematica code for computing Lamb's solution external to a sphere also available on github.
K. Hood* and M. Roper. "Pairwise interactions in inertially-driven one-dimensional microfluidic crystals" submitted July 2017. [arXiv]
K. Hood*, S. Kahkeshani, D. Di Carlo, M. Roper. "Direct Measurement of Particle Inertial Migration in Rectangular Microchannels". Lab on a Chip, 16(15): pp. 2840-2850, 2016, DOI: 10.1039/c6lc00314a. [pdf]
K. Hood*, S. Lee, M. Roper. "Inertial migration of a rigid sphere in three-dimensional Poiseuille flow". Journal of Fluid Mechanics, 765: pp. 311-340, 2015. [pdf]
L. De Pillis, K. Hood*, E. J. Graham, Y. Ma, A. Radunskaya, and J. Simons. "Injury-initiated clot formation under flow: a mathematical model with warfarin treatment". In Applications of Dynamical Systems in Biology and Medicine, volume 158 of The IMA Volumes in Mathematics and its Applications, pp. 75-98. Springer New York, 2015.
K. A. Okoudjou, R. Strichartz, and E. K. Tuley*. "Orthogonal Polynomials on the Sierpinski gasket". Constructive Approximation, 37(3): pp. 311-340, 2013. [arXiv] [OP on SG website ]
G. Kutyniok, K. A. Okoudjou, F. Phillip, E. K. Tuley*. "Scalable Frames". Linear Algebra and its Applicaitons", 438(5): pp. 2225-2238, 2013. [arXiv]
PhD thesis: K. Hood. "Theory of Inertial Focusing in Inertial Microfluidic Devices," 2016 [pdf].
At MIT, I was the instructor for 2.087 - Engineering Math and ODEs (2 half-semesters).
At UCLA, I was a TA for PIC 10A - Introduction to Programming C++ (3 quarters), MATH 164 - Optimization (2 quarters), and MATH 33B - Differential Equations.
Mathematics for Human Flourishing
Confessions of a Wasteful Scientist