Research Interest

• Biochemistry and Biophysics
  • Biomolecular interactions, variational implicit-solvent model, continuum electrostatics, hydrophobic interactions, solvent hydrodynamic motion and fluctuations, and biomolecuular kinetics.
  • Statistical mechanics in biological physics, energy landscape theory, protein folding, molecular recognition, protein-protein interactions, and single molecular systems.
  • Brownian dynamcis, diffusion and elctro-diffusion, hybrid Brownian dynamics and continuum diffusion modeling and simulations, hydrodynamic interactions,
  • RNA interactionss, gene expressions. Mean-field models and computations.
  • Cell motility and dynamics, structure and dynamics of actin cytoskeletons, and memberane mechanics and functions.
  • Biofilms.
  • Biomedical imaging, cancer treatment, etc.

• Mathematics and Computing
  • Scientific computing and numerical analysis: numerical partial differential equations, the level-set method for interface motion, and phase-field modeling and computation.
  • Monte Carlo simulations, molecular dynamics simuations, and numerical methods for stochastic differential equations.
  • Applied partial differential equations and the calculus of variations, and applied dynamical systems. Shape derivatives, geometric measure theory.
  • Multiscale modeling and methods.
  • PDE based image process, medical image problems, mathematical models and numerical methods for radiology.
  • Fast algorithms, GPU computing.

People

Publications

Presentations

Informal Seminars on Mathematics and Biochemistry-Biophysics

2:00 pm - 3:00 pm, Thursdays, AP&M 5829.

Course Development

Math 277B, Topics in Mathematics and Biochemistry-Biophysics, UCSD, Spring 2011. Course web page.

Conferenes, Workshops, Summer/Winter Schools, and Short Courses

• An international workshop on Recent Advances in Applied and Computational Mathematics, Wuhan, China, May, 2015.
• The 52nd Meeting of Society of Natural Philosophy, Rio de Janeiro, October 22-24, 2014.
• Summer School in Mathematical Biology, UCSD, September 22-26, 2014.
• Brainstorm Workshop on Biological Molecules, Cells, and Beyond, UCSD, August 4 and 5, 2014.
• The 248th ACS (American Chemical Society) National Meeting & Exposition, San Francisco, August 10-14, 2014.
• SIAM 2014 Annual Meeting, Chicago, July 2014.
• International Conference on Free Boundary Problems: Theory and Applications, Isaac Newton Institute for Mathematical Sciences, United Kindom, June 23-27, 2014.
• The IUPAP 8th International Conference of Biological Physics, Beijing, China, June 2014.
• KI-Net Summer School: Dynamics and Numerics for Non-local PDEs and Related Equations in the Physical and Biological Sciences, Iowa State University, Ames, Iowa, May 4-7, 2014.
• Third Biological Diffusion and Brownian Dynamics Brainstorm (BDBDB3), with Live Video Conference Sessions, Heidelberg, Germany, and UC San Diego, USA, October 7-9, 2013.
• ACS Annual Meeting, Indianapolis, September, 2013.
• Workshop: Computational Challenges in Complex Charged Systems, Shanghai Jiao Tong University, China, September 9 and 10, 2013.
• SIAM Annual Meeting, San Diego, July, 2013.
• CECAM Workshop on "New Perspectives in Liquid-State Theories for Complex Molecular Systems", Poincare Institute, Paris, June, 2013.
• Joint Mathematics Meetings, San Diego, January, 2013.
• Brainstroming Workshop, August 27-29, 2012 (internal).
• ACS Annual Meeting, Philadelphia, August 19-23, 2012.
• SIAM Conference on Life Sciences, San Diego, August 7-11, 2012.
• ACS Anual Meeting, San Diego, March 25-29, 2012.
• SIAM Conference on Analysis of Partial Differential Equations, San Diego, November 14-17, 2011.
• The IUPAP 7th International Congress of Biological Physics, UCSD, June 19-24, 2011.
• Brainstroming Workshop, March 7-11, 2011 (internal).
• Short Course on Applied Mathematics in Biophysics, Taiwan National Center for Theoretical Sciences and National Chiao Tung University, Taiwan, December 15 and 16, 2010. (Course overview)
• Special workshop: Biological Diffusion and Brownian Dynamics Brainstorm 2, Heldelberg, Germany, and UCSD, La Jolla, USA, October 11-13, 2010.
• International Workshop on Continuum Models of Biomolecules,, Chinese Academy of Sciences, Beijing, China, September 14-16, 2009.
• IMA Workshop on Solvation, December 8-12, 2008.
• CTBP Summer Schools, 2008, 2009, and 2010.