Mathematics and StatisticsRobert Dillon

Robert Dillon

  1. Emeritus
Email Addressrhdillon@wsu.edu

Biography

Research Interests

Mathematical BiologyComputational BiofluidsNumerical methods and Scientific Computing

Education

  • B.A., History
    Stanford University, 1967
  • B.S., Mathematics
    Western Washington University, 1987
  • M.S., Mathematics
    Western Washington University, 1989
  • Ph.D., Mathematics
    University of Utah, 1993

Professional Experience

Awards and Honors

  • University of Utah Graduate Research Fellowship for Outstanding Achievement in Mathematics, 1991-1992
  • NSF Mathematical Sciences Postdoctoral Research Fellowship (1995-1998)
  • Washington State University, Department of Mathematics, Outstanding Research Award for Faculty, 2008

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.