

Stephen J. Merrill - Professor of Mathematics

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Major Research
Interests
- Mathematical
models in immunology utilizing a variety of methods including differential
equations and stochastic techniques
- The
role of randomness in dynamical systems
- Creativity
and dreaming
- The
mechanism of action of medicinal herbs
- Descriptions
of “normal aging”
Education
Current and Recent
Research
- Modeling
of the role of cofactors in an HIV infection ( this work has been reviewed
in New Scientist 6 September, 1997, p. 12 : HIV's hidden helpers)
- Markov
chain analysis of heart rate variability
- Quantitative
description of immune reconstitution after stem cell transplantation with
St. Luke's Hospital in Milwaukee
- Diversity
in the HCV genome with the Blood Research
Center in Milwaukee
- Modeling
of the microarray
- Teaching
the creative process
- Modeling
changes in the neurological exam with age
Recent Talks and
Posters
Editorial Positions
Recent Publications
- S.J.
Merrill, R.J. DeBoer, and A.S. Perelson, Development of the T-cell
repertoire: clone size distribution, Rocky Mt. J. Math., 24
(1994) 213-231.
- S.J.
Merrill and J. R. Cochran, Markov chain methods in the analysis of heart
rate variability, Fields Institute Comm., 11 (1997) 241-252.
- R.S.
Root-Bernstein and S.J. Merrill, The necessity of cofactors in the
pathogenesis of AIDS: A mathematical model, J. Theor. Biol., 187
(1997) , 135-146.
- S.J. Merrill
and R.S. Root-Bernstein, A model of the role of cofactors in the
initiation and development of AIDS, Can. Appl. Math.
Quarterly, 6 (1998), 173-185.
- S.J.
Merrill, Computational Models in immunological methods: an historical
review, J. Immunol. Meth., 126 (1998) ,69-92. web-version
- B.M.
Murphy, S.J. Merrill, and A. LeFever, The engraftment kinetics of white
blood cells and platelets following peripheral blood stem cell transplantation,
Proceedings of the International Conference on Scientific Computing &
Mathematical Modeling, Milwaukee, WI, June 2000, 209-212.
- R.S.
Root-Bernstein and S.J. Merrill, Etiology and Pathogenesis of AIDS, in AIDS
and Complementary and Alternative Medicine, L.J. Standish, C.
Calabrese, and M.L. Galantino (eds.), Churchill-Livingstone (2002), 31-50.
- S.J.
Merrill and S.E. Merrill, Introductory biological sequence analysis
through spreadsheets, Proc. of 13th ICTCM, Atlanta,
GA, Addison-Wesley (2002), 246-249. Powerpoint
slides
- H.
Wang, T. Bian, S.J. Merrill, and D.D. Eckels, Sequence variation in the
gene encoding the non-structural 3 protein of hepatitis C virus: Evidence
for immune selection, J. Mol. Evol. 54 (2002),
465-473.
- S.J.
Merrill and B.M. Murphy, Detecting autocatalytic dynamics in data modeled
by a compartmental model, Math. Biosci. 180 (2002), 255-262.
- S.J.
Merrill, Solving problems: perchance to dream, in ICTMA 11:
Mathematical Modelling: A Way of Life, S.J. Lamon, W.A. Parker, and
S.K. Houston (eds.), Chichester, UK: Horwood Publishing, Ltd. (2003),
97-105.
- S.J.
Merrill, S. Nelson, and C.A. Struble, Spatial dependence of hybridization
in the cDNA microarray, Can.
Appl. Math. Quarterly 11 (2003), 321-337.
- S.J.
Merrill, The stochastic dance of early HIV infection, J. Comp. Appl.
Math. 184 (2005), 242-257.
- S.J.
Merrill, To again feel the creative voice, Int. J. of Sci. and Math.
Ed., 5 (2007), 145-164.
- S.J.
Merrill, B. Myklebust, J. Myklebust, N. Reynolds, and E. Duthie, A
Poisson-like model of sub-clinical signs from the examination of healthy
aging subjects, Aging Clinical and Experimental Research, 20 (2008), 368-375.
- E.
Tick, S. Merrill, and A. Huber, Sheepish: Health store as healing
sanctuary, Explore: The Journal of Science and Healing, 4
(2008), 63-65.
- J.
Blimke, J. Myklebust, H. Volkmer, S. Merrill, Four-shell ellipsoidal model
employing multipole expansion in ellipsoidal coordinates, Medical &
Biological Engineering & Computing, 46 (2008), 859-869.
Special Interest
Stephen J.
Merrill
Department
MSCS Cudahy Hall
Marquette
University
P.O.
Box 1881
Milwaukee,
WI 53201-1881
USA
Phone: (414)-288-5237
Fax: (414)-288-5472
E-Mail: stevem@mscs.mu.edu