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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