Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.mscs.mu.edu/~stevem/mulogo-medium.gif
Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.mscs.mu.edu/~stevem/biomath3.gif

Stephen J. Merrill - Professor of Mathematics

Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: Description: http://www.mscs.mu.edu/~stevem/bar.gif

click for pix1

click for pix2

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
  • Cardiac Imaging
  • Atrial Fibrillation
  • Thyroid disease
  • Malaria Control
  • Nanotoxicology and the toxicology of novel compounds released from medical devices

Education and Visiting Positions

 

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 and hypotensive events
  • 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
  • Cardiac imaging – registration
  • Hashmitoto’s thyroiditis and thyroid cancer

 

Recent Talks and Posters

Editorial Positions

Journal of Immunological Methods (vol. 374 issues 1-2) in November 2011 :

 

                                High-throughput methods for immunology: Machine learning and automation

 

This is one of the first collections of papers in the new field of “Immunomics”, a subfield of Bioinformatics.

The issue also reported the results of the machine learning competition on prediction of HLA class I binding peptides.

Most 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.
  • S.J. Merrill, The state of the science of nonlinear dynamics in 1963, Nonlinear Dynamics, Psychology and Life Sciences, 13 (2009) 249-256.
  • Sheikh Iqbal Ahamed, Dennis Brylow, Rong Ge, Praveen Madiraju, Steve Merrill, Craig Struble, and Jim Early, Computational Thinking in the Sciences: A Three Day Workshop For High School Science Teachers, In Proceedings of SIGCSE 2010: The 41st ACM Technical Symposium on Computer Science Education, pages 42-46, Milwaukee, Wisconsin, March 2010.
  • S.J. Merrill, Markov Chains for identifying nonlinear dynamics, Chapter 17 in Nonlinear Dynamical Systems Analysis for the Behavioral Sciences Using Real Data, Stephen J. Guastello and Robert A.M. Gregson, eds., CRC Press, 2010, 401-423.
  • S. S. Kiware, N. Chitnis, S. J. Moore, G. J. Devine, S. Majambere, S. Merrill, and G. F. Killeen, Simplified models of vector control impact upon malaria transmission by zoophagic mosquitoes, PLoS ONE, 7(5):e37661 (2012) doi:10.1371/journal.pone.0037661
  • B. Pandiyan, S.J. Merrill, and S. Benvenga, A patient-specific model of the negative-feedback control of the hypothalamus–pituitary–thyroid (HPT) axis in autoimmune

(Hashimoto’s) thyroiditis, Mathematical Medicine and Biology (2013) doi:10.1093/imammb/dqt005

 

Doctoral Students

    1988    Xuncheng Huang  Mathematical analysis of population models 

    1992    Ondine Harris  The Polymerase Chain Reaction: A Stochastic Model,
                        Methods of Quantification, and Applications to HIV 

    1993    Zhixiong He Mathematical models of muscle response to periodic stimuli 

    1996    Xing Wu  Dynamical systems in the modeling of lampry fictive swimming 

    2001    Brian Murphy Modeling the time to engraftment of white blood cells and platelets following
                        autologous peripheral blood stem cell transplantation 

    2008    Shivani Ratnakumar  Markov chain modeling of ECG gated live left atrial fluoroscopy variability

                       to establish a well-defined basis for rigid registration to a 3D CT image

 

   2011     Balamurugan Pandiyan  Mathematical modeling and dynamical analysis of the operation of the

                       hypothalamus-pituitary-thyroid (HPT) axis in autoimmune (Hashimoto’s) thyroiditis

 

Current Doctoral Students

 

    Prachi Pradeep Custom QSAR models in a regulatory setting

    Mohammad Adibuzzaman Smart physiological monitors  (with Sheikh Iqbal Ahamed)

     Casey O’Brien The cleanability of reusable medical devices

  

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