### 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.