Mark F. Schumaker

Mathematical Modelling $\bullet$ Biomathematics

  1. A Combined Molecular Dynamics and Diffusion Model of Single Proton Conduction Through Gramicidin, (with Régis Pomès and Benoit Roux), Biophys. J., 79 (2000), 2840-2857.

  2. Framework Model for Single Proton Conduction Through Gramicidin, (with Régis Pomès and Benoit Roux), Biophys. J., 80 (2001), 12-30.

  3. Mean First Passage Times Across a Potential Barrier in the Lumped State Approximation, (with Eric J. Mapes), J. Chem. Phys., 114 (2001), 76-83.

  4. The Role of Trp Side Chains in Tuning Single Proton Conduction through Gramicidin Channels, (with J. Gowen, J. Markham, S. Morrison, T. Cross, E.J. Mapes and D.D. Busath), Biophys. J., 83 (2002), 880-898.

  5. Boundary Conditions and Trajectories of Diffusion Processes, J. Chem. Phys., 117 (2002), 2469-2473.

  6. Numerical Framework Models of Single Proton Conduction Through Gramicidin, Frontiers in Bioscience (2003), S982-991.

  7. A Framework Model Based on the Smoluchowski Equation in Two Reaction Coordinators (with David S. Watkins), J. Chem. Phys. 121 (2004), 6134-6144.

  8. Framework Models of Ion Permeation Through Membrane Channels and the Generalized King-Altman Method. (with E.J. Mapes), Bulletin of Mathematical Biology 08 (2006), 1429 - 1460.

  9. Single-Occupancy Binding in Simple Bounded and Unbounded Systems, Bulletin of Mathematical Biology (In press).



2007-06-05