Robert H. Dillon
Department of Mathematics
Washington State University

Selected publications

A single-cell-based model of multicellular growth using the immersed boundary method, Robert Dillon, Markus Owen, and Kevin Painter, AMS Contemporary Mathematics. In press

An integrative computational model of multiciliary beating, X. Yang , R. H. Dillon and L. J. Fauci, Bull. Math. Biol. In press. (on line version appeared in January 2008).

A single cell based model of the ductal tumor microarchitecture, K. Rejniak and R. Dillon, Computational and Mathematical Methods in Medicine, 8(1):51-69, 2007

  • Fluid dynamic models of flagellar and ciliary beating, R. Dillon, L. Fauci, C. Omoto, and X. Yang NYAS, Vol 1101, 494-505, 2007

  • Sperm motility and multiciliary beating: an integrative mechanical model. Robert H Dillon, Lisa J. Fauci, and Xingzhou Yang. Computers and Mathematics with Applications . Vol 52, 749-758, 2006

  • Biofluidmechanics of reproduction, L. Fauci and R. Dillon, Annual Reviews of Fluid Mechanics, Vol 38, 371-394, 2006

  • Simulation of swimming organisms: coupling internal mechanics with external fluid dynamics, R. Cortez, N. Cohen, R. Dillon, and L. Fauci, Computing in Science and Engineering Vol 6, No 3, pp 38-45, 2004

  • Short- and long-range effects of sonic hedgehog in limb development, Robert Dillon, Chetan Gadgil and Hans G. Othmer PNAS , Vol 100, No 18, pp 10152-10157, 2003

  • Mathematical Modeling of Axoneme Mechanics and Fluid Dynamics in Ciliary and Sperm Motility, Robert Dillon, Lisa Fauci and Charlotte Omoto, Dynamics of continuous, discrete and impulsive systems: Series A Vol 10, pp 745-757, 2003

  • Spatial pattern formation and morphogenesis in development: Progress and perspectives for two model systems, R. Albert, R. Dillon, C.J. Gadgil and H. G. Othmer, In: Morphogenesis and Pattern Formation in Biological Systems - Experiments and Models , T. Sekimura, et al, eds. Springer, N.Y., pp 21-32, 2003.} in Morphogenesis and Pattern Formation in Biological Systems - Experiments and Models , T. Sekimura, et al, eds. Springer, N.Y., pp 21-32, 2003

  • Mathematical modeling of vertebrate limb development, Robert Dillon , Pattern Formation and Morphogenesis: Model systems, IMA Volumes in Mathematics and its Applications, Vol 121, pp 39-57, 2001

  • An integrative model of internal axoneme mechanics and external fluid dynamics in ciliary beating, Robert Dillon and Lisa Fauci, Journal of Theoretical Biology, Vol 207, pp 415-430, 2000.

  • A microscale model of bacterial and biofilm dynamics in porous media, Robert Dillon and Lisa Fauci. Biotechnology and Bioengineering, Vol 68, pp 536-547, 2000.

  • A mathematical model for outgrowth and spatial patterning of the vertebrate limb bud, Robert Dillon and Hans G. Othmer. Journal of Theoretical Biology, 197, 295-300, 1999.

  • Modeling biofilm processes using the immersed boundary method, with L. Fauci, A. Fogelson and D. Gaver. Journal of Computational Physics, Vol 129, pp 57-73, (Nov) 1996.

  • A comparison of preconditioners in the solution of parabolic systems in three space dimensions using DASPK and a high order finite element method, with P. K. Moore. Applied Numerical Mathematics, 20, pp. 117-128, 1996.

  • A microscale model of bacterial swimming, chemotaxis and substrate transport, with Lisa Fauci and Donald Gaver III. Journal of Theoretical Biology, 177, pp. 325-340, 1995.

  • Pattern formation in generalized turing systems: I. Steady-state patterns in systems with mixed boundary conditions, with P.K. Maini, and H.G. Othmer. Journal of Mathematical Biology, 32, pp 345-393, 1994.

  • Control of gap junction permeability can control pattern formation in limb development, with H. G. Othmer. In Experimental and Theoretical Advances in Biological Pattern Formation, Plenum, 1993.

  • Optimal smoothing in function-transport particle methods for diffusion problems, with Aaron L. Fogelson., Journal of Computational Physics, 109, pp. 155-163, 1993.