Research Interests

• Multiscale analysis, modeling and simulation in solids, fluid mechanics, chemistry and biology
• Mathematical modeling and computation of biomaterials, complex biofluids, and cellular dynamics
• Mathematical and computational neuroscience: dynamical system and chaos in neuronal networks
• Network dynamics and flows: modeling, analysis and simulation for traffic flow.

Education

• Ph.D. in Applied and Computation Mathematics, Princeton University (2006)
• M.S. in Computational Mathematics, Peking University (2002)
• B.S. in Computational Mathematics, Peking University (2002)

Experience

• Professor, University of South Carolina (2021 – present)
• Associate Professor, University of South Carolina (2015 – 2020)
• Assistant Professor, University of South Carolina (2011 – 2015)
• NSF Joint Institutes' Postdoc, Statistical & Applied Mathematical Sciences Institute (2009 – 2011)
• Research Scientist, Courant Institute, NYU (206 – 2009)

Courses Taught

• MATH 141: Calculus I
• MATH 142: Calculus II
• MATH 241: Vector Calculus
• MATH 242: Elemetary Differential Equations
• MATH 344: Applied Linear Algebra
• MATH 520: Ordinary Differential Equations
• MATH 524: Nonlinear Optimization
• MATH 526: Numerical Linear Algebra
• MATH 527: Numerical Analysis
• MATH 544: Linear Algebra
• MATH 708: Foundations of Computational Mathematics I
• MATH 709: Foundations of Computational Mathematics II

Selected Publications

• Yi Sun, Simulations of bi-direction pedestrian flow using kinetic Monte Carlo methods, Physica A, 524 (2019), pp. 519–531.
• Yi Sun, Kinetic Monte Carlo simulations of two-dimensional pedestrian flow models, Physica A, 505 (2018), pp.836–847.
• E. Bulanova, E. Koudan, J. Degosserie, C. Heymans, F. Pereira, V. Parfenov, Yi Sun, Qi Wang, S. Akhmedova, I. Sviridova, N. Sergeeva, G. Frank, Y. Khesuani, C. Pierreux, V. Mironov,Bioprinting of a functional vascularized mouse thyroid gland construct, Biofabrication, 9 (2017), pp.034105.
• Yi Sun, Qi Wang, In-silico analysis on 3D biofabrication using kinetic Monte Carlo simulations, Advances in Tissue Engineering and Regenerative Medicine, 2 (2017), pp.00045.
• Yi Sun, Xiaofeng Yang, Qi Wang, In-silico analysis on biofabricating vascular networks using kinetic Monte Carlo simulations, Biofabrication, 6 (2014), pp.015008.
• Pierre Gremaud, Yi Sun, Numerical study of singularity formation in relativistic Euler flows, Communications in Computational Physics, 16 (2014), pp.348–364.
• Yi Sun, Ilya Timofeyev, Kinetic Monte Carlo simulations of 1D and 2D traffic flows: Comparison of two look-ahead rules, Physical Review E, 89 (2014), pp.052810.
• Yi Sun, Qi Wang, Modeling and simulations of multicellular aggregate self-assembly in biofabrication using kinetic Monte Carlo methods, Soft Matter, 9 (2013), pp.2172–2186.
• Yi Sun, Aaditya V. Rangan, Douglas Zhou, David Cai, Coarse-grained event tree analysis for quantifying Hodgkin-Huxley neuronal network dynamics, Journal of Computational Neuroscience, 32 (2012), pp.55–72.
• Yi Sun, Russel Caflisch, Bjorn Engquist, A multiscale method for epitaxial growth, SIAM Multiscale Model. Simul., 9 (2011), pp.335–354.