Biology and Physiology

November 11, 2011

Ionic Fluids and Ion Channels:

  1. (with Rolf Ryham and Ludmil Zikatanov) Mathematical Models for the Deformation of Electrolyte Droplets, Discrete and Continuous Dynamical Systems B, Volume 8, Number 3, 649 — 661 (2007). abstract
  2. (with Jianwei Zhang, Xiuqing Gong, Weijia Wen and Ping Sheng) Electrorheological Fluid Dynamics, Physical Review Letters 101, 194503 (2008). abstract
  3. (with Yunkyong Hyon and Robert Eisenberg) Energy Variational Analysis EnVarA of Ions in Water and Channels: Field Theory for Primitive Models of Complex Ionic Fluids, Journal of Chemical Physics 133, 104104 (2010) . abstract
  4. (with Yunkyong Hyon and Robert Eisenberg) A Mathematical Model for the Hard Sphere Repulsion in Ionic Solutions, Communications in Mathematical Sciences 9(2), pp.459–475, 2011. article
  5. (with Chiun-Chang Lee, Hijin Lee, Yunkyong Hyon and Taichia Lin) New Poisson-Boltzmann Type Equations: One-Dimensional Solutions, Nonlinearity 24, pp.431–458, 2011. abstract
  6. (with Yoichiro Mori and Robert S. Eisenberg) A Model of Electrodiffusion and Osmotic Water Flow and its Energetic Structure, to appear in Physica D (2011). (49 pages) abstract
  7. (with Yunkyong Hyon, James E. Fonseca and Robert Eisenberg) Energy Variational Approach To Study Charge Inversion (Layering) Near Charged Wall, to appear in Discrete and Continuous Dynamical Systems (2010). (22 pages)
  8. (with Chiun-Chang Lee, Hijin Lee, Yunkyong Hyon and Taichia Lin) Ionic Fluids with Multi-species Ions: A New Poisson-Boltzman Type of Equations, submitted to Journal of Differential Equations (2011). (19 pages)
  9. (with Yunkyong Hyon and Robert Eisenberg) An Energetic Varitional Approach to Ion Channel Dynamics, submitted to Mathematical Methods in the Applied Sciences (2011). (13 pages)

Evolution and Dynamics of Vesicle Membranes:

  1. (with Qiang Du and Xiaoqiang Wang) A Phase Field Approach in the Numerical Study of the Elastic Bending Energy for Vesicle Membranes, Journal of Computational Physics 198, no. 2, 450–468 (2004). abstract
  2. (with Qiang Du, Rolf Ryham and Xiaoqiang Wang) A Phase Field Formulation of the Willmore Problem, Nonlinearity, 18, 1249 — 1267 (2005). abstract
  3. (with Qiang Du, Rolf Ryham and Xiaoqiang Wang) Modeling the spontaneous curvature effects in static cell membrane deformation by a phase field formulation, Communications in Pure and Applied Analysis, Vol 4, No 3, 537 — 548 (2005). abstract
  4. (with Qiang Du and Xiaoqiang Wang) Retrieving Topological Information For Phase Field Models, SIAM Journal on Applied Mathematics, Vol 65, No 6, 1913 — 1932 (2005). abstract
  5. (with Qiang Du and Xiaoqiang Wang) Simulating the Deformation of Vesicle Membranes under Elastic Bending Energy in Three Dimensions, Journal of Computational Physics, 212, 2, 757 — 777 (2006). abstract
  6. (with Qiang Du, Rolf Ryham and Xiaoqiang Wang) Diffusive Interface Energies Capturing the Euler Number: Relaxation and Renormalization, Communications of Mathematical Sciences 5, pp.233-242 (2007). article
  7. (with Qiang Du and Manlin Li) Analysis of a Phase Field Navier-Stokes Vesicle-Fluid Interaction Model, Discrete and Continuous Dynamical Systems B, 8, No 3, pp.539-556, (2007). abstract
  8. (with Qiang Du, Rolf Ryham and Xiaoqiang Wang) Energetic Variational Approaches to Modeling Vesicle and Fluid Interactions, Physica D, 238, 923—930 (2009). abstract