• T. G. Fai and Y. Park, Global asymptotic stability of an active disassembly model of flagellar length control. Submitted, 2020 (arxiv)
  • Y. Park and T.G. Fai, Dynamics of vesicles driven into closed constrictions by molecular motors. Bull. Math. Biol., 82, 141, 2020 (linkarxiv).

  • T.G. Fai, L. Mohapatra, P. Kar, J. Kondev, and A. Amir, Length regulation of multiple flagella that self-assemble from a shared pool of components. eLife, 8, e42599, 2019 (link). 
  • T. Ruiz-Herrero, T.G. Fai, and L. Mahadevan, Dynamics of growth and form in prebiotic vesicles. Phys. Rev. Lett., 123, 038102, 2019 (link, arxiv). 
Featured in Nature Reviews Physics. (link, highlight

        • T.G. Fai and C. Rycroft, Lubricated Immersed Boundary Method in Two Dimensions, J. Comput. Phys., 356, 319-339, 2018 (link, arxiv). 
        Movies comparing the standard and lubricated immersed boundary methods: 

        Channel flow, standard IB method (colors represent pressure) 

        Channel flow, lubricated IB method

        Wall-induced migration, standard IB method (dotted line is 2 gridpoints from wall) 

        Wall-induced migration, lubricated IB method
        • S. Cannon, T.G. Fai, J. Iwerks, U. Leopold and C. Schmidt, Edge and point 2-transmitter art gallery problems, Comput. Geom., 68, 89-100, 2018 (link, arxiv). 
          • T.G. Fai, R. Kusters, J. Harting, C. Rycroft, and L. Mahadevan, Active elastohydrodynamics of vesicles in narrow, blind constrictions, Phys. Rev. Fluids, 2, 113601, 2017 (link, arxiv
          • T.G. Fai, A. Leo-Macias, D.L. Stokes and C.S. Peskin, An image-based model of the spectrin cytoskeleton for red blood cell simulation, PLOS Comput. Biol., 11(6), e1005790, 2017 (link). 
          Movie of cytoskeleton dynamics

          Image processing of tomogram

          Simulated extension by optical tweezers

              • C.-H. Wu, T.G. Fai, P.J. Atzberger, and C.S. Peskin, Simulation of osmotic swelling by the stochastic immersed boundary method, SIAM J. Sci. Comput., 37(4), B660-B688, 2015 (link, preprint). 
                    • S. Shekhar, L. Zhu, L. Mazutis, A.E. Sgro, T.G. Fai, M. Podolski, Quantitative biology: where modern biology meets physical sciences, Mol. Biol. Cell, 25(22), 3482-3485, 2014 (link). 
                    • A. Donev, A.J. Nonaka, Y. Sun, T.G. Fai, A.L. Garcia, and J.B. Bell, Low Mach number fluctuating hydrodynamics of diffusively mixing fluids. Comm. App. Math. and Comp. Sci., 9(1), 47-105, 2014 (link, arxiv). 
                    • T.G. Fai, B.E. Griffith, Y. Mori, and C.S. Peskin, Immersed Boundary Method for Variable Viscosity and Variable Density Problems using Fast Constant-Coefficient Linear Solvers II: Theory, SIAM J. Sci. Comput., 36:3, B589-B621, 2014 (link, preprint). 
                    Movies from internal gravity waves in a stratified fluid: 

                    Traveling wave packet, mass density perturbation (left) and energy density (right)

                    Cross-shaped density (left) and energy (right) resulting from localized disturbance at origin with a fixed frequency 

                    Traveling wave packet in the nonlinear regime with variable viscosity 
                    • A. Donev, T.G. Fai, E. Vanden-Eijnden, A reversible mesoscopic model of diffusion in liquids: From giant fluctuations to Fick’s law, J. Stat. Mech., P04004, 2014 (link, arxiv). 
                          • T.G. Fai, B.E. Griffith, Y. Mori, and C.S. Peskin. Immersed Boundary Method for Variable Viscosity and Variable Density Problems using Fast Constant-Coefficient Linear Solvers I: Numerical Method and Results, SIAM J. Sci. Comput., 35:5, B1132-B1161, 2013 (link, preprint). 
                          Movies from red blood cell simulations: 

                          Flow through capillary, center of mass frame with fluid tracers

                          Tank treading, side view

                          Tank treading, top view

                          Tumbling, side view

                          Tumbling, top view

                                • F. Balboa Usabiaga, J.B. Bell, R. Delgado-Buscalioni, A. Donev, T.G. Fai, B.E. Griffith, and C.S. Peskin, Staggered schemes for fluctuating hydrodynamics, Multiscale Model. Sim., 10(4), 1369-1408, 2012 (link, arxiv).