

Stephen J. Merrill
Professor
Emeritus of Mathematics

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for pix1
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
autoimmune disease and cancer
- Malaria
Control
- The
toxicology of novel compounds released from medical devices
- Interactions
of UV with HPV-associated cancer, melanoma, and other cancers
Education and Visiting Positions
Honors
NIH Reviewer 1984 (Immunology)
Selected to be a member in the 1st (1986) and 7th
(1999) Bellman Prize Selection Committee
Mathematical Biosciences (Elsevier)
NSF
Reviewer 1988 (Prob. & Stat.)
NSF
Reviewer 1989 (Prob. & Stat.)
NIH Reviewer 1989 (AIDS
& Related Research)
NIH Site Visit 1990 (National
Resource for Simulation)
NSF Reviewer 1990 (Prob.
& Stat. and Applied Mathematics)
NIH Reviewer 1991 (Special
Study Section)
Reviewer
for Binational Science Foundation 1993 (US-Israel)
Reviewer for NSERC 1997 (Canada)
US Department of Education Spinal Cord Injury Centers Grant Review 2000, 2001
NIH Reviewer 2002, 2003 5 panels (Computational Biology)
NIH Reviewer 2004 2 panels (Modeling and Analysis of Biological Systems)
Marquette University Raynor Award for Teaching Excellence
2004
NIH Reviewer 2005 (Technology Development and Fellowship)
Reviewer for the Austrian Science Fund 2010 (Austria)
Reviewer
for the Shota Rustaveli National Science Foundation -- Republic of Georgia 2011
Reviewer for the
Binational Science Foundation 2011 (US-Israel)
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 -3D information from a fluoroscopic image (patent)
- UV and
cancer of the throat and cervix (summarized (in Swedish) here)
- Cutaneous
Malignant Melanoma (CMM) incidence (reviewed here)
- Thyroid
autoimmunity (summarized in World Biomedical
Frontiers)
Recent Talks, Abstracts, and Posters (Invited talk list)
Editorial Positions
- Vladimir
Brusic (Harvard) and Stephen J. Merrill were
guest editors of a special
issue of the Journal of Immunological Methods:
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. This issue also reported the results of the machine
learning competition on prediction of HLA class I binding peptides.
- Salvatore
Benvenga and Roberto Vita (U. of Messina, Italy) and Stephen J. Merrill edited
a special issue of
Frontiers in Bioscience: Digging
deep into thyroid pathophysiology which appeared in 2018-9. The
issue involves papers in bioinformatics and mathematical models probing details
of thyroid function.
· Balamurugan
Pandiyan (UWW) and Stephen J. Merrill are editing a special issue of Mathematical
Biosciences and Engineering: Mathematical Models and
Autoimmune Diseases which will appear in 2019. This
issue will contain models of aspects of autoimmunity and its connections to
inflammation and cancer.
- 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.
https://doi.org/10.1090/fic/011/16
- 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. https://doi.org/10.1006/jtbi.1997.0449
- 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. https://doi.org/10.1016/s0022-1759(98)00071-4
- 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. https://doi.org/10.1016/B978-0-443-05831-8.50010-2
- S.J.
Merrill and S.E. Merrill, Introductory
biological sequence analysis through spreadsheets, Proceedings 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. https://doi.org/10.1007/s00239-001-0037-6
- S.J.
Merrill and B.M. Murphy, Detecting autocatalytic dynamics in data modeled
by a compartmental model, Math. Biosci. 180
(2002) 255-262. http://dx.doi.org/10.1016/S0025-5564(02)00114-1
- 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. doi:10.1016/j.cam.2003.09.057
- S.J.
Merrill, To again feel the creative voice, Int. J. of Sci. and Math.
Ed., 5 (2007) 145-164. https://doi.org/10.1007/s10763-006-9047-6
- 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. https://doi.org/10.1007/bf03324870
- E.
Tick, S. Merrill, and A. Huber, Sheepish:
Health store as healing sanctuary, Explore: The Journal of Science
and Healing 4 (2008) 63-65.
doi:10.1016/j.explore.2007.10.010
- 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. doi:10.1007/s11517-008-0352-9
- 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. doi:10.1145/1734263.1734277
- 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 31(2013) 226-258. doi:10.1093/imammb/dqt005
- R.
Brown, S. White, J. Goode, P. Pradeep, and S.J. Merrill. Use of QSAR
modeling to predict the carcinogenicity of color additives. Proceedings of the ASME/FDA 2013 1st
Annual Frontiers in Medical Devices: Applications of Computer Modeling and
Simulation. September 2013 doi:10.1115/FMD2013-16161
- M.
Adibuzzaman, G.C. Kramer, L. Galeotti, S.J.
Merrill, D.G. Strauss, C.G. Scully, The mixing rate of the arterial blood
pressure waveform Markov Chain is correlated with Shock Index during
hemorrhage in anesthetized swine, Proceedings of Engineering in Medicine
and Biology Society (EMBC), 2014
36th Annual International Conference of the IEEE, August 2014,
3268-3271. doi:10.1109/EMBC.2014.6944320
- D.E.
Godar, R. Tang, and S.J. Merrill, Pharyngeal and cervical cancer
incidences significantly correlate with personal UV doses among whites in
the United States, Anticancer
Research 34: 4993-5000
(2014) http://ar.iiarjournals.org/content/34/9/4993.long
- S.J.
Merrill, S. Ashrafi, M. Subramanian, and D.E. Godar, Exponentially
increasing incidences of cutaneous malignant melanoma in Europe correlate
with low personal annual UV doses and suggests two major risk factors, Dermato-Endocrinology 7 (1): e1004018 (2015) doi:10.1080/19381980.2014.1004018
- P.
Pradeep, C. Struble, T. Neimman, D.S. Sem, and
S.J. Merrill, A novel scoring based distributed protein docking application
to improve enrichment, IEEE/ACM
Transactions on Computational Biology and Bioinformatics 12(6):
1464-1469 (2015) doi:10.1109/TCBB.2015.2401020
- S.J.
Merrill and Y. Mu, Thyroid autoimmunity as a window to autoimmunity: An
explanation for sex differences in the prevalence of thyroid autoimmunity, J. theor. Biol. 375: 95-100 (2015)
doi:10.1016/j.jtbi.2014.12.015
- P.
Pradeep, R.J. Povinelli, S.J. Merrill, S. Bozdag, and D. Sem, Novel uses
of in vitro data to develop
quantitative biological activity relationship models for in vivo carcinogenicity prediction,
Molecular Informatics 34 (4): 236-245 (2015) doi: 10.1002/minf.201400168
- S.S. Kiware, G. Corliss, S. Merrill, D.W. Lwetoijera, G. Devine, S. Majambere,
G.F. Killeen, Predicting scenarios for successful autodissemination of
pyriproxyfen by malaria vectors from their resting sites to aquatic
habitats; Description and simulation analysis of a field-parametrized
model, PLoS One 10(7): e0131825 (2015) doi:10.1371/journal.pone.0131835
- S.J.
Merrill, Why study statistics? Chapter 3 in Statistics for the Curious: Why Study
Statistics, K. Vaidya, ed., Curious Academic Publishing, 2015.
- S.J.
Merrill, M. Subramanian, D.E. Godar, Worldwide
cutaneous malignant melanoma incidences analyzed by sex, age, and skin
type over time (1955-2007): Is HPV infection of androgenic hair follicular
melanocytes a risk factor for developing melanoma exclusively in people of
European-ancestry? Dermato-Endocrinology 8(1): e1215391 (2016) doi:10.1080/19381980.2016.1215391
- P.
Pradeep, R.J. Povinelli, S. White, S.J. Merrill, An Ensemble Model of QSAR
Tools for Regulatory Risk Assessment, Journal
of Cheminformatics 8:48
(2016) doi:10.1186/s13321-016-0164-0
- B.
Pandiyan, S.J. Merrill, and S. Benvenga, A homoclinic orbit in a
patient-specific model of Hashimoto's Thyroiditis, Differential Equations and Dynamical
Systems (2016). doi:10.1007/s12591-016-0335-5
- D.E.
Godar, M. Subramanian, S.J. Merrill, Cutaneous malignant melanoma incidences
analyzed worldwide by sex, age, and skin type over personal Ultraviolet-B dose shows no role for sunburn but implies one for vitamin D3, Dermato-Endocrinology
9(1): e1267077 (2017) doi:10.1080/19381980.2016.1267077
- D.E. Godar, M.
Subramanian, S.J. Merrill, Cutaneous malignant melanoma
incidences analyzed worldwide by sex and skin type over advancing age of
males and females: Evidence estrogen and androgenic hair are risk factors,
Journal of Epidemiological Research
3(1): 42-50 (2017) doi:10.5430/jer.v3n1p42
- L.C. Savery, R. Vinas, A. Nagy, P. Pradeep,
S.J. Merrill, A.M. Hood, S.G. Malghan, P.L. Goering, R.P. Brown, Deriving
a provisional tolerable intake for intravenous exposure to silver
nanoparticles released from medical devices, Regulatory Toxicology and Pharmacology 85: 108-118 (2017) doi:10.1016/j.yrtph.2017.01.007
- J.
Sharma, B. Wisniewski, E. Paulson, J. Obaoye,
S.J. Merrill, and A.L. Manogaran, De
novo [PSI+] prion
formation involves multiple pathways to form infectious oligomers, Scientific Reports 7:76 (2017) doi:10.1038/s41598-017-00135-6
- Y. Mu,
D.E. Godar, S.J. Merrill, A perspective on the challenges and issues in
developing biomarkers for human allergic risk assessments, Biomarkers in Medicine 11(7):523-526 (2017) doi:10.2217/bmm-2017-0137
- D.E.
Godar, R. Gurov, S.J. Merrill, All sites but
skin cancer incidences analyzed worldwide by sex, age, and skin type over
time (1955-2007), advancing age, and UVB dose reveals important
carcinogenic drivers, Journal of
Epidemiological Research 3(2):65-80
(2017) doi:10.5430/jer.v3n2p65
- B. T.
Wisniewski, J. Sharma, E. R. Legan, E. Paulson,
S. J. Merrill, and A. L. Manogaran, Toxicity
and Infectivity: insights from de novo prion formation, Current Genetics, (2017) doi:10.1007/s00294-017-0736-1
- D.E.
Godar and S.J. Merrill, Untangling the most probable role for vitamin D3
in autism, Dermato-Endocrinology 9(1): e1387702 (2017) doi:10.1080/19381980.2017.1387702
- B.
Pandiyan, S.J. Merrill, F. Di Bari, A. Antonelli, S. Benvenga, A
patient-specific treatment model for Graves' hyperthyroidism, Theoretical Biology & Medical
Modelling 15(1) (2018) doi:10.1186/s12976-017-0073-6
- S.J.
Merrill and S.B. Minucci, Thyroid autoimmunity: an interplay of factors, Vitamins and Hormones, 106:129-146 (2018) doi:10.1016/bs.vh.2017.07.001
- S.J.
Merrill and B. Pandiyan, Untangling thyroid autoimmunity through modeling
and simulation, Frontiers in
Bioscience (Landmark Ed) 23:1889-1901
(2018) doi:10.2741/4679
- B.
Pandiyan and S.J. Merrill, A model of the cost of delaying treatment of
Hashimoto's thyroiditis: thyroid cancer initiation and growth, Mathematical
Biosciences and Engineering 16(6) 8069-8091 (2019) doi:10.3934/mbe.2019406.
- K.
Irabor and S.J. Merrill, Bifurcation in Markov chains
with ecological examples, Nonlinear Dynamics, Psychology and Life Sciences,
to appear (2019).
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
2015 Prachi Pradeep Hybrid
computational toxicology models for regulatory risk assessment
2015 Mohammad Adibuzzaman Computational approached for monitoring
of health parameters and their evaluation for application in clinical setting (with
Sheikh Iqbal Ahamed)
2019 Kehinde Irabor Bifurcation
in weighted digraphs and application in ecology
2019 Xuyong Yu Evaluating
electrode-tissue contact force using cardiac image processing technology
Special Interest
Stephen J. Merrill
Department MSSC Cudahy
Hall
Marquette University
P.O. Box 1881
Milwaukee, WI 53201-1881
USA
Phone: (414)-288-7573 (Department Office)
Fax: (414)-288-5472
E-Mail: stephen.merrill@marquette.edu