Ph.D. New York University, 2007
B.S. Seoul National University, 2000

Research Interest: We develop foundational frameworks of continuity equations (first-order hyperbolic equations) in mathematical, statistical, and computational aspects with main applications to 1) Electrodiffusion coupled to hydrodynamics with the immersed boundary method, 2) Wasserstein statistics and optimal transport with meta-learning and regularization, 3) Collective behaviors and energy balance in cellular migration and neuronal circuitry.

Selected Publications

• P. Lee, B.E. Griffith, and C.S. Peskin, The immersed boundary method for advection–electrodiffusion with implicit time-stepping and local mesh refinement, Journal of Computational Physics 229:13 (2010), 5208-5227.
• P. Lee, R. Yang, and K. Maute, An extended finite element method for the analysis of submicron heat transfer phenomena, R. de Borst and E. Ramm (eds.), Multiscale Methods in Computational Mechanics, Lecture Notes in Applied and Computational Mechanics 55 (2011), 195-212

• P. Lee and C.W. Wolgemuth, Crawling cells can close wounds without purse strings or signaling, PLoS Computational Biology 7:3 (2011), e1002007

• P. Lee, E.A. Sobie, and C.S. Peskin, Computer simulation of voltage-sensitive calcium ion channels in a dendritic spine, Journal of Theoretical Biology 338 (2013), 87-93

• P. Lee and C.W. Wolgemuth, An immersed boundary method for two-phase fluids and gels and the swimming of Caenorhabditis elegans through viscoelastic fluids, Physics of Fluids 28:1 (2016), 011901

• P. Lee and C.W. Wolgemuth, Physical mechanisms of cancer in the transition to metastasis, Biophysical Journal 111:1 (2016), 256-266

• P. Lee, B.E. Carlson, N. Chesler, M.S. Olufsen, M.U. Qureshi, N.P. Smith, T. Sochi, and D.A. Beard, Heterogeneous mechanics of the mouse pulmonary arterial network, Biomechanics and Modeling in Mechanobiology 15:5 (2016), 1245-1261

• P. Lee, Electrical Propagation of Vasodilatory Signals in Capillary Networks, Bulletin of Mathematical Biology 82:10 (2020), 128

• P. Lee and F.C. Park, On the Existence and Computation of Minimum Attention Optimal Control Laws, IEEE Transactions on Automatic Control 67:5 (2022), 2576 – 2581