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Some corrections

　

Book chapter
  1. Benzhuo Lu, Poisson-Nernst-Planck equation, in book: Encyclopedia of Applied and Computational Mathematics, edited by Bj?rn Engquist, Publisher: Springer (in print).
  2. Benzhuo Lu，Finite Element Modeling of Biomolecular Systems in Ionic Solution，in book：Image-Based Geometric Modeling and Mesh Generation。Publisher：Springer Berlin Heidelberg, 2013, XI, p271.
  3. Minxin Chen, Bin Tu，and Benzhuo Lu，Surface Triangular Mesh and Volume Tetrahedral Mesh Generations for Biomolecular Modelling，in book：Image-Based Geometric Modeling and Mesh Generation。Publisher：Springer Berlin Heidelberg,2013, XI, p85-106.

 

Invited Review

  1. B. Z. Lu, Y. C. Zhou, Michael J. Holst, and J. A. McCammon. Recent progress in numerical methods for the Poisson-Boltzmann equation in biophysical applications. Commun. in Comput. Phys., 3(5):973-1009, 2008. (PDF), link to the Journal webpage .

( Top 10 most cited paper of this journal [till 05/2010], see the journal webpage)

　

Research Articles

  1. Bin Tu, Minxin Chen, Yan Xie, Linbo Zhang, Bob Eisenberg, and Benzhuo Lu, A Parallel Finite Element Simulator for Ion Transport through Three-dimensional Ion Channel Systems, J. Comput. Chem. (accepted).
  2. Minxin Chen, Bin Tub, Benzhuo Lu, Triangulated Manifold Meshing Method Preserving Molecular Surface Topology, Journal of Molecular Graphics and Modelling, 38: 411-418, 2012 (PDF>).

    3. ( * An improverd version of TMSmesh, aiming to make the generated molecular surface mesh to be a manifold mesh )

  3. Yan Xie, Jie Cheng, Benzhuo Lu, Linbo Zhang, Parallel Adaptive Finite Element Algorithms for Solving the Coupled Electro-diffusion Equations (submitted).
  4. Ying Yang, B.Z. Lu, An Error Bounds Analysis for the Finite Element Approximation to the Steady-state Poisson-Nernst-Planck equations, Advances in Applied Mathematics and Mechanics, 5(1): 113-130, 2013. (pdf)
  5. Bo Zhang, Benzhuo Lu, Xiaolin Cheng, Jingfang Huang, Nikos P. Pitsianis, Xiaobai Sun, and J. Andrew McCammon, Mathematical and Numerical Aspects of the Adaptive Fast Multipole Poisson-Boltzmann Solver, Commun. in Comput. Phys. 13(1): 107-128, 2013 (PDF).
  6. Beibei Huang, Bin Tu, Benzhuo Lu, A fast direct solver for a class of 3-D elliptic PDE with variable coefficient, Commun. in Comput. Phys. 12(4): 1148-1162, 2012.
  7. Benzhuo Lu, Yongcheng Zhou, Poisson-Nernst-Planck Equations for Simulating Biomolecular Diffusion-Reaction Processes II: Size Effects on Ionic Distributions and Diffusion-reaction Rates, Biophysical J. 100(10):2475-2485, 2011 (PDF)

    8. ( * Size-Modified PB, Size-modified Poisson-Nernst-Planck equations, arbitrarily non-uniform sizes, finite size effects on diffusion-reaction rate)

  8. Minxin Chen*, Benzhuo Lu*, TMSmesh: A robust method for molecular surface mesh generation using a trace technique, J. Chem. Theory Comput., 7:203-212, 2011 (PDF>)

    9. ( * Molecular surface meshing tool, seems potentially able to generate mesh for arbitrary molecule with good quality in terms of uniformness, smoothness, and topological correctness.)

  9. Y. C. Zhou, Benzhuo Lu, and Alemayehu A. Gorfe, Continuum electromechanical modeling of a protein-membrane interaction, Phys. Rev. E 82, 041923 (2010) [5 pages] (PDF)

    10. ( * Electrostatic-elastic (membrane) model, electrostatic force induced membrane curvature )

  10. Benzhuo Lu, Michael J. Holst, J. Andraw McCammon, and Y. C. Zhou. Poisson-Nernst-Planck Equations for Simulating Biomolecular Diffusion-Reaction Processes I: Finite Element Solutions, J. Comput. Phys. 2010. 229:6979-6994. (PDF)

    11. ( * FEM solution of PNP equations, condition number issues)

  11. B. Z. Lu, X. Cheng, J. Huang, J. A. McCammon. AFMPB: An Adaptive Fast Multipole Poisson-Boltzmann Solver for Calculating Electrostatics in Biomolecular Systems, Computer Physics Communications, 181: 1150–1160, 2010. (PDF)

    12. (Has been selected for Faculty of 1000 Biology: evaluations for Lu B et al Comput Phys Commun. 2010, 181:1150-60 http://f1000biology.com/article/id/3242956/evaluation )

    (* For AFMPB package description and release )

  12. Bo Li, Benzhuo Lu, Zhongming Wang, J. Andrew McCammon, Solutions to a Reduced Poisson–Nernst–Planck System and Determination of Reaction Rates. Physica A, 389:1329-1345, 2010. (PDF)
  13. Benzhuo Lu, and Andrew McCammon. Kinetics of diffusion-controlled enzymatic reactions with charged substrates. PMC Biophysics, 3:1, 2010. (PDF)
  14. Yong-Woon Jung, Benzhuo Lu, Michael Mascagni. A computational study of ion conductance in the KcsA K+ channel using a Nernst-Planck model with explicit resident ions. J. Chem. Phys. 131, 215101, 2009. (PDF), (jcp link). The article has been selected for the December 2009 issue of JCP: BioChemical Physics. and for the December 15, 2009 issue of the Virtual Journal of Biological Physics Research.
  15. Alemayehu A. Gorfe*, Benzhuo Lu*, Zeyun Yu, and J. Andrew McCammon. Enzymatic Activity versus Structural Dynamics: The Case of Acetylcholinesterase Tetramer. Biophysical Journal., 97(3), 897-905, 2009.(PDF), link to journal.
  16. B. Z. Lu, X. Cheng, J. Huang, J. A. McCammon, An adaptive fast multipole boundary element method for Poisson-Boltzmann electrostatics. J. Chem. Theory Comput., 5(6):1692-1699, 2009. (PDF), link.
  17. Ilja V. Khavrutskii, Alemayehu A. Gorfe, Benzhuo Lu, J. Andrew McCammon. Free Energy for the Permeation of Na+ and Cl- Ions and their Ion-Pair through Zwitterionic Dimyristoyl Phosphatidylcholine Lipid Bilayer by Umbrella Integration with Harmonic Fourier Beads. J. Am. Chem. Soc., 131(5):1706-1716, 2009. (PDF)
  18. B. Z. Lu and J. A. McCammon. Molecular surface-free continuum model for electrodiffusion processes. Chem. Phys. Lett., 451(4-6):282-286, 2008. (PDF)
  19. Y. C. Zhou, B. Z. Lu, Gary A. Huber, Michael J. Holst, and J. A. McCammon. Continuum simulations of acetylcholine consumption by acetylcholinesterase: A Poisson-Nernst-Planck approach. J. Phys. Chem. B, 112(2):270-275, 2008. (PDF)
  20. B. Z. Lu, Y. C. Zhou, Gary A. Huber, Stephen D. Bond, Michael J. Holst, and J. Andrew McCammon. Electrodiffusion: A continuum modeling framework for biomolecular systems with realistic spatiotemporal resolution. J. Chem. Phys., 127(13):135102, 2007. (PDF)
    Also selected for October 15, 2007 issue of Virtual Journal of Biological Physics Research. link
    (* A solver for Poisson-Nernst-Planck, Poisson-Boltzmann, Smoluchowski equations, and realistic spatiotemporal diffusion-reaction problem; hybrid FEM/BEM, surface and volume mesh generation; a bunch of examples )
  21. B. Z. Lu, X. L. Cheng, and J. A. McCammon. "New-Version-Fast-Multipole Method" Accelerated Electrostatic Calculations in Biomolecular Systems. J. Comput. Phys., 226(2):1348-1366, 2007. (PDF)
    (* FMM BEM, technical details )
  22. B. Z. Lu and J. A. McCammon. Improved boundary element methods for Poisson-Boltzmann electrostatic potential and force calculations. J. Chem. Theory. Comput., 3(3):1134-1142, 2007. (PDF)
    (** A "node patch" boundary element method --- the third low order BEM, mesh geometry correction, force calculation )
  23. B. Z. Lu, X. L. Cheng, J. F. Huang, and J. A. McCammon. Order N algorithm for computation of electrostatic interactions in biomolecular systems. Proc. Natl. Acad. Sci. U. S. A., 103(51):19314-19319, 2006. (PDF)
    ( * Fast multipole, well-conditioned boundary integral equations, multidomains )
  24. T. J. Hou, K. Chen, W. McLaughlin, B. Z. Lu, and W. Wang. Computational analysis and prediction of the Binding Motif and Protein Interacting Partners of the Abl SH3 domain. PLoS Computational Biology, 2(1):e1, 2006.
  25. T. J. Hou, W. McLaughlin, B. Z. Lu, K. Chen, and W. Wang. Prediction of Binding Affinities between the Human Amphiphysin-1 SH3 Domain and Its Peptide Ligands Using Homology Modeling, Molecular dynamics and Molecular Field Analysis. J. Proteome research, 5(1):32-43, 2006. (PDF)
  26. X. L. Cheng, B. Z. Lu, B. Grant, R. Law, and J. A. McCammon. Channel opening motion of \alpha 7 nicotinic acetylcholine receptor as suggested by normal mode analysis. J. Mol. Biol., 355(2):310-324, 2006. (PDF)
    ( * nAChR, normal model analysis, channel gating )
  27. M. U. Ung, B. Z. Lu*, and J. A. McCammon. E230Q mutation of the catalytic subunit of cAMP-dependent protein kinase affects local structure and the binding of peptide inhibitor. Biopolymers, 81(6):428-439, 2006. (PDF)
    ( * PKA, E230Q mutation effect, peptide binding )
  28. B. Z. Lu, X. L. Cheng, T. J. Hou, and J. A. McCammon. Calculation of the Maxwell stress tensor and the Poisson-Boltzmann force on a solvated molecular surface using hypersingular boundary integrals. J. Chem. Phys., 123(8):084904, 2005. (PDF)
    Also selected for the September 15, 2005 issue of Virtual Journal of Biological Physics Research. link
    ( * Maxwell stress tensor, strong singular and hypersingular integrals, BEM, PB force and torque )
  29. B. Z. Lu, D. Q. Zhang, and J. A. McCammon. Computation of electrostatic forces between solvated molecules determined by the Poisson-Boltzmann equation using a boundary element method. J. Chem. Phys., 122(21):214102, 2005. (PDF)
    Also selected for the June 1, 2005 issue of Virtual Journal of Biological Physics Research. link
    ( * A set of boundary integral equations derived from energy variation principle for calculations of the PB forces between biomolecules )
  30. B. Z. Lu, C. F. Wong, and J. A. McCammon. Release of ADP from the catalytic subunit of protein kinase A: A molecular dynamics simulation study. Protein Sci., 14(1):159-168, 2005. (PDF)
  31. B. Z. Lu and C. F. Wong. Direct calculation of entropy loss due to reduced translational and rotational motions upon molecular binding. Biopolymers, 79:277-285, 2005. (PDF)
    ( * Entropy calculation, formulations, entropy loss of bound water molecules and ATP )
  32. Y. H. Yu, B. Z. Lu*, J. G. Han, and P. F. Zhang. Scoring the protein-protein docked structures based on the balance and tightness of binding. J. Comput. Aided Mol. Des, 18(4):251-260, 2004.
  33. J. G. Han, Z. Y. Ren, and B. Z. Lu. Geometries and stabilities of re-doped si-n (n=1-12) clusters: a density functional investigation. J. Phys. Chem. A, 108(23):5100-5110, 2004.
  34. B. Z. Lu, B. H. Wang, W. Z. Chen, and C. X. Wang. A new computational approach for real protein folding prediction. Protein Eng., 16(9):659-663, 2003. (PDF)
    ( * Relative entropy, protein folding )
  35. Y. H. Yu, C. H. Li, B. Z. Lu, W. Z. Chen, and C. X. Wang. A new method to select the near-native conformations from the docked structures. Acta Phys.-Chim. Sin. (in Chinese), 19(8):757-761, 2003.
  36. B. Z. Lu, C. X. Wang, and B. H. Wang. A new minimization method for real protein folding prediction. Chin. J. Chem. Phys. (in Chinese), 16(2):117-121, 2003.
  37. W. Y. Wang, B. Z. Lu, W. Z. Chen, and C. X. Wang. Study on the stability of insulin hexamer in solution by molecular dynamics simulations. Acta Chim. Sin. (in Chinese), 60(12):2129-2134, 2002.
  38. W. Y. Wang, B. Z. Lu, W. Z. Chen, and C. X. Wang. The study on the flexibility of insulin hexamer in solution by molecular dynamics simulations. Acta Biophysica Sinica (in Chinese), (19):35-40, 2003.
  39. B. Z. Lu, W. Z. Chen, C. X. Wang, and X. J. Xu. Protein molecular dynamics with electrostatic force entirely determined by a single Poisson-Boltzmann calculation. Proteins, 48(3):497-504, 2002. (PDF)
    ( * Finite difference Poisson-Boltzmann molecular dynamics simulation )
  40. X. H. Ma, C. H. Li, B. Z. Lu, W. Z. Chen, C. X. Wang, and X. J. Xu. Salt and pH-dependent properties of native and mutant insulin. Chin. Sci. Bull., 47(6):464-466, 2002.
  41. B. Z. Lu, C. X. Wang, W. Z. Chen, S. Z. Wan, and Y. Y. Shi. A stochastic dynamics simulation study associated with hydration force and friction memory effect. J. Phys. Chem. B, 104(29):6877-6883, 2000. (PDF)
    ( * Generalized Langevin dynamics, friction memory, boundary element method Poisson-Boltzmann force )
  42. B. Z. Lu, W. Z. Chen, and C. X. Wang. The generalized Langevin dynamics associated with boundary element method. Chinese Science Bulletin, 45:1482-1486, 2000.

　

　

Others (published in my notebook, disappeared journal, or somewhere in an old mountain and forest you may not reach :) )

“量子原理与艺术哲学”（Quantum theory and the philosophy of art）, (in Chinese中文) 1999, (maybe printed in 2002). (PDF)
( * 艺术中的不确定性，及量化评价的可能性？ )

Ben-Zhuo Lu 2012-4-24