Robert H. Dillon
Department of Mathematics and Statistics
Washington State University

Selected publications

  • Adnan Morshed, Prashanta Dutta, and Robert Dillon, "Mathematical Modeling and Numerical Simulation of the TGF-β/Smad Signaling Pathway in Tumor Microenvironments", Applied Numerical Mathematics, Available online 20 November 2017, In Press.

  • Jingxuan Zhuo, Ricardo Cortez, and Robert Dillon, "Lagrangian mesh model with regridding for planar Poisielle flow," Commun. Comput. Phys.22, July, 2017, pp. 112-132.

  • M.R.Hossan, P. Gopmandal, R. Dillon and P. Dutta. A comprehensive numerical investigation of DC dielectrophoretic particle-particle interactions and assembly, Colloids and Surfaces A: Physicochemical and Engineering Aspects, doi: 10.1016/j.colsurfa.2016.06.027, 506, 127-137, 2016

  • Hossan, M. R., Gopmandal, P. P., Dillon, R., and Dutta, P., "Bipolar Janus Particle Assembly in Microdevice", ELECTROPHORESIS , 36, 722-730, 2015

  • Hybrid Immersed Interface-Immersed Boundary Methods for AC Dielectrophoresis, Hossan, M.R., Dillon, R., and Dutta, P., J. Comput. Phys. 270, 649-659, 2014.

  • Modeling and Simulation of Dielectrophoretic Particle-Particle Interaction and Assembly, Hossan, M.R., Dillon, R.,Roy AK, and Dutta, P, Journal of Colloids and Interface Sciences, 394:619-629, 2013.

    Using the immersed boundary method to model complex fluid/structure interaction in sperm motility , Robert Dillon and Jingxuan Zhuo, Discrete and Continuous Dynamical Systems-Series B , Vol 15, 343-355, 2011

    A 3D Motile Rod-shaped monotrichous bacterial model , Chia-yu Hsu and Robert Dillon, Bulletin of Mathematical Biology, Vol 71: 1228-1263, 2009.

  • An introduction to the immersed boundary and immersed interface methods, , Robert Dillon and Z. Li. B. C. Khoo, Z. Li, P. Lin, Eds, Lecture Note Series, Vol. 17, Institute for Mathematical Sciences, National University of Singapore, L, World Scientific Press, , 1-67, 2009

    A single-cell-based model of multicellular growth using the immersed boundary method, Robert Dillon, Markus Owen, and Kevin Painter, AMS Contemporary Mathematics. 466:1-15,2008

    An integrative computational model of multiciliary beating, X. Yang , R. H. Dillon and L. J. Fauci, Bull. Math. Biol. Vol 70, 1192-1215, 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.