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