CURRICULUM VITAE OF
ROBERT M. MIURA
Department of Mathematical Sciences Telephone: (973) 596-5464 (Office)
New Jersey Institute of Technology (973) 596-5782 (Dept Office)
University Heights Fax: (973) 596-5591
Newark, NJ 07102 E-mail:
USA URL:
I. EDUCATION
Ph.D. Aerospace & Mechanical Sciences Princeton University 1966
M.A. Aerospace & Mechanical Sciences Princeton University 1964
M.S.Mechanical EngineeringUniversity of California, Berkeley 1962
B.S.Mechanical EngineeringUniversity of California, Berkeley 1960
II. ACADEMIC AND PROFESSIONAL APPOINTMENTS
Distinguished Departments of MathematicalNew Jersey Institute of Present
Professor Sciences and of Biomedical Technology (since 2007)
Engineering
Research Center for Applied MathematicsNew Jersey Institute of Present
Professor and Statistics (since 2001)
Professor Graduate Faculty, DepartmentRutgers University – Newark Present
of Biological Sciences (since 2004)
Professor Emeritus Department of MathematicsUniversity of British ColumbiaPresent
(since 2001)
------
Visiting Prof. Global COE ProgramMeiji University, IkutaJun. 2009
Senior Res. Fellow Department of MathematicsCity University of Hong KongDec. 2008
- Jan. 2009
Visiting Scholar Mathematical Biosciences InstituteOhio State UniversityOct.-Nov.
2008
Visiting Professor Department of Mech. EngineeringUniversity of TokyoSept 2008
Visiting Researcher Computational Science Res. Prog.RIKEN Wako InstituteSept 2008 - Aug 2009
Professor Departments of MathematicalNew Jersey Institute of 2001-2007
Sciences and of Biomedical Technology
Engineering
Acting Chair Department of MathematicalNew Jersey Institute ofMay 2005 -
Sciences Technology June 2006
Director Division of Biological Sciences,New Jersey Institute of 2004-2005
Department of Mathematical Technology
Sciences
Associate Chair Department of Mathematical New Jersey Institute of 2003-2005
Sciences Technology
Visiting Professor Department of MathematicsCity University of Hong KongMay 2005
Undergraduate Department of MathematicalNew Jersey Institute of2002-2003
Chair Sciences Technology
Professor Department of Mathematics University of British Columbia1978-2001
Professor Institute of Applied MathematicsUniversity of British Columbia1981-2001
Professor, Department of Pharmacology University of British Columbia1983-2001
Associate Member & Therapeutics
Research Brain Research CentreUniversity of British Columbia 1999-2001
Investigator
Professor, Department of Applied Mathematics University of Washington1988-2002
Affiliate Member
Special Expert Mathematical Research Branch,National Institutes of Health1997-1998
NIDDK Bethesda, Maryland
Acting Director Institute of Applied Mathematics University of British Columbia 1996
Visiting Professor Department of Applied MathematicsUniversity of Washington 1985-1987,
1988
Visiting Professor Department of Mathematics University of California, 1986
Los Angeles
Visiting Professor Department of Mathematics,
Faculty of ScienceHiroshima University 1983
Visiting Professor Department of Mathematics,Kyoto University1981
Faculty of Science
Visiting Scientist Centre de Recherches de Université de Montréal1981
Mathématique Appliqué
Associate Professor Department of Mathematics University of British Columbia1976-1978
Visiting Associate Department of Mathematics University of British Columbia 1975-1976
Professor
Associate Professor Department of Mathematics Vanderbilt University 1971-1975
Assistant Professor Department of Mathematics New York University1968-1971
Washington Square College
Associate Research Courant Institute of MathematicalNew York University1967-1968
Scientist Sciences
Postdoctoral Plasma Physics Laboratory Princeton University 1965-1967
Associate
III. AREAS OF RESEARCH INTEREST AND ACCOMPLISHMENTS
Applied Mathematics
Asymptotic and Perturbation Methods
Nonlinear Partial Differential Equations Arising in Conservative Systems and Reaction-Diffusion
Systems
Boundary-Value Problems for Differential-Delay Equations
Quantitative, Qualitative, and Numerical Methods for Analyzing Ordinary and Partial Differential
Equations
Lattice Gas Algorithm
Applications
Rarefied Gas Dynamics -- Kinetic Theory of Gases
Nonlinear Wave Propagation -- Korteweg-de Vries Equation and Spreading Depression
Mathematical Biology -- Waves and Diffusion of Ions in the Brain
-- Excitable Cells Including Neurons, Pancreatic -Cells, and Cardiac Cells
-- Temporal Summation and Normalization in Dendrites
-- Neuronal Networks, Excitatory Coupling, and Clustering
-- Dynamical Pathways to Diabetes
-- Kinetic Model-Based Analysis of Microarray Data
-- Polyadenylation Sites in Gene Expression
Stretching of Heated Viscous Threads -- Glass Microelectrode Formation
Direction Reversal in Brownian Motion
IV. HONORS
FellowAmerican Mathematical Society (Inaugural Class)Since 2013
FellowSociety for Industrial and Applied Mathematics (Inaugural Class)Since 2009
Leroy P. Steele Prize American Mathematical Society2006
(with C.S. Gardner,
J.M. Greene, and
M.D. Kruskal)
FellowAmerican Association for the Advancement of ScienceSince 2005
FellowRoyal Society of CanadaSince 1995
FellowJohn Simon Guggenheim Memorial Foundation1980-1981
UBC Senior Killam University of British Columbia 1980-1981
Fellowship
Guggenheim Fellow Princeton University 1961-1962
Honor Graduate University of California, Berkeley 1960
Pi Tau Sigma Mechanical Engineering Honor Society,University of California, 1958
Berkeley
Tau Beta Pi Engineering Honor Society, University of California, Berkeley1958
- SCHOLARLY AND PROFESSIONAL ACTIVITIES (1991--Present)
Honorary Analysis and Applications (World Scientific) Present
Co-Editor-in-Chief (since 2013)
Editorial BoardSIAM Book Series on Monographs on MathematicalPresent
Modeling and Computation (since 2005)
Editorial BoardCanadian Applied Mathematics Quarterly Present
(since 1991)
Committee MemberNeurosciences Research Institute, NJMS/UMDNJPresent
(since 2006)
MemberSIAM Book Editorial Board 2009-2011
Organizing CommitteeConference on Applied Mathematics, City University of 2009-2010
Hong Kong, June 2010
Chair, Board of TrusteesMathematical Biosciences Institute, Ohio State University, 2008-2011
Columbus, OH
Co-Editor-in-ChiefAnalysis and Applications (World Scientific) 2000-2011
Associate EditorSIAM Journal on Applied Mathematics 2009-2011
Chair, Session on IonInternational Conference on Mathematical Biology and Jul 27-30,
Dynamics Annual Meeting of the Society for Mathematical Biology2009
ParticipantOCCAM-Fields-MITACS Workshop Jun 22-26,
2009
Mem., Board of TrusteesMathematical Biosciences Institute, Ohio State University,2007-2011
Columbus, OH
ChairSIAM Activity Group on Life Sciences 2007-2008
ParticipantFields-MITACS Industrial Problem-Solving Workshop Aug 11-15,
2008
Organizing CommitteeConference on Frontiers in Applied and Computational 2007-2008
Mathematics, Mathematical Biology, New Jersey Institute
of Technology, Newark, New Jersey, May 19-21, 2008
Co-Organizer andFocused Research Group Workshop on Water Movements in May 11-18,
Participant Biological Tissue and Diffusion-Weighted Imaging2008
Banff International Research Station, Banff, Alberta, Canada
Co-DirectorHoward Hughes Medical Institute, Graduate Program in2006-2010
Neuroscience (Joint with University of Medicine and
Dentistry of New Jersey and Rutgers University-Newark)
Co-OrganizerFourth Pacific Rim Conference on Mathematics, City University2006-2007 of Hong Kong, Hong Kong, December 7-11, 2007
Committee MemberSIAM Conference on Mathematics for Industry 20072006-2007
Philadelphia, Pennsylvania, October 9-11, 2007
Organizing CommitteeConference on Frontiers in Applied and Computational 2006-2007
Mathematics, Mathematical Biology, New Jersey
Institute of Technology, Newark, New Jersey, May 14-15,
2007
Vice ChairSIAM Activity Group on Life Sciences2005-2006
Organizing Committee,Conference on Frontiers in Applied and Computational May 15-16,
Chair Mathematics, New Jersey Institute of Technology, Newark,2006
Panel MemberNSF Review Panel, Arlington, VA, October 10-12, 20062006
Organizer The Lee Segel Forum on Non-Academic Careers for 2006
Mathematical Life Scientists, SMB/SIAM Conference
on Life Sciences, Raleigh, North Carolina, July 3, 2006
Editorial Board Integrative Neuroscience (World Scientific) 1999-2006
Scientific AdvisoryFields Institute for the Mathematical Sciences, Toronto, 2002-2006
Panel Canada
OrganizerThird Pacific Rim Conference on Mathematics, Shanghai,2001-2005
China (2005)
Co-Organizer andFocused Research Group Workshop on Analysis, Mar 12-26,
Participant Computations, and Experiments on Pinch-off in Liquid Jets,2005
Banff International Research Station, Banff, Alberta, Canada
Organizing CommitteeConference on Frontiers in Applied and Computational May 13-15,
Mathematics, New Jersey Institute of Technology, Newark,2005
Organizing CommitteeConference on Frontiers in Applied and Computational May 21-22,
Mathematics, New Jersey Institute of Technology, Newark,2004
Scientific NominatingFields Institute for the Mathematical Sciences, Toronto 2003
Committee Canada
Theme LeaderBiomedical Theme, Mathematics of Information Technology1998-2003
and Complex Systems (MITACS), NCE
International AffairsCanadian Mathematical Society1998-2001
Committee
Synge CommitteeCanadian Mathematical Society1999-2003
Nominating Committee,American Association for the Advancement of Science1999-2003
Mathematics Section A
Program CommitteeMITACS Second Annual General Meeting,McGill University,2000-2001
Montréal, Quebec, Canada (May 11-12, 2001)
Organizing Committee Second Pacific Rim Conference on Mathematics, Taipei,1998-2001
Taiwan (2001)
OrganizerMITACS BioMedical Theme Workshop, Centré de Recherches2000
Mathématiqué, Université deMontréal, Quebec, Canada
(November 4-5,2000)
OrganizerSession on Mathematical Biology, Canadian Mathematical1999-2000
Society/Canadian Applied and Industrial Mathematics
Society Joint Meeting, Hamilton, Canada (June 10-13,
2000)
Organizing CommitteePacific Rim Dynamical Systems Conference,Maui, Hawaii (2000)1999-2000
Organizing CommitteeCanadian Applied and Industrial Mathematics Society Annual1999
Meeting, Quebec, Quebec
Advisory Board Journal of Mathematical Biology 1982-1999
Local Advisory Committee Pacific Institute for the Mathematical Sciences, UBC1996-1999
Co-Editor-in-Chief Methods and Applications of Analysis 1992-1999
Scientific Programme International Conference on Industrial and Applied Mathematics,1996-1999
Committee Edinburgh (1999)
Board of Directors Society for Mathematical Biology 1995-1998
Organizing Committee First Pacific Rim Conference on Mathematics, Hong Kong (1998)1996-1998
Nominating Committee Society for Mathematical Biology 1998
Scientific Committee Symposium on Mathematical Aspects of Fluid and Plasma 1997-1998
Dynamics, Hawaii (1998)
OrganizerPacific Institute for the Mathematical Sciences Thematic1997-1999
Summer Program on Mathematical Biology, Vancouver
(1999)
Organizing Committee Royal Society of Canada Conference, Vancouver 1997
Associate Editor Japan Journal of Industrial and Applied Mathematics 1984-1996
Organizing CommitteeOpening Conference, Pacific Institute for the Mathematical1996
Sciences, Victoria, B.C.
Interim Executive Pacific Institute for the Mathematical Sciences1995-1996
Organizing Committee Society for Mathematical Biology,Annual Meeting, Seattle1996
Co-Organizer Pacific Northwest Workshop on Mathematical Biology, UBC1991, 1995
Organizing Committee Society for Mathematical Biology,Annual Meeting, Oaxtepec, 1995
Mexico
Steering Committee Centre de Recherches Mathématiques, Université de Montréal1990-1994
Co-Organizer International Symposium on Methods and Applications of1994
Analysis, Hong Kong
Organizer CRM-UBC Summer School on Mathematical Biology1993
Co-Organizer Workshop on Modelling, Mathematics, and Numerics of 1992
and Speaker Excitable Media, University of Manitoba
VI. EXTERNAL GRANTS (since 1991)
National ScienceResearch Grant (Restricted Diffusion in Cellular Media:2010-2013
Foundation Application to Cortical Spreading Depression)
Banff InternationalFocused Research Group on Cortical Spreading Depression and 2009-2010
Research Station Related Phenomena, August 1-8, 2010
American Institute ofSQuaREs Workshop on Modeling Cortical Spreading Depression,2008-2010
Mathematics May 24-28, 2010
National Science Research Grant (Stretching of Heated Threads)2007-2010
Foundation
University of MedicineSubcontract from Dr. Bin Tian, Department of Biochemistry2006
and Dentistry of NJ and Molecular Biology, New Jersey Medical School
National ScienceConference Grant2006
Foundation
Howard HughesHHMI-NIBIB Interfaces Initiative – Graduate Training Program2006-2008
Medical Institute in Quantitative Neuroscience (with UMDNJ and 2009-2010
Rutgers-Newark)(No-cost)
National ScienceConference Grant2005
Foundation
Air Force Office ofConference Grant2005
Scientific Research
Society for MathematicalConference Grant2005
Biology
Natural Sciences and Research Grants (Mathematical Physiology)1977-2002
Engineering Research
Council Equipment Grants1991-1998
Medical Research Council Research Grant 1991-1994
B.C. Science Council GREAT Award to Graduate Student 1991-1993
VII. SUPERVISED POSTDOCTORAL AND STUDENT RESEARCH
Postdoctoral Fellows
Joshua Chang2013-present Math. Biosci. Inst., Ohio State University,
Columbus, OH
Marianito Rodrigo 2001-2003University of Wollongong, New South
Wales, AUS
Yuqing Wang2000-2002Royal Bank , Toronto, ON, Canada
Alexandra Chavez-Ross1999-2001San Diego State University, San Diego, CA
Mark Pernarowski 1990-1992Montana State University, Bozeman, MT
Henry Tuckwell 1976-1978 Max Planck Institute, Germany
Doctoral Students
Yiming Cheng2007 (NJIT)University of Munich, Germany
Stefan Reinker2004 (UBC)Novartis, Basel, Switzerland
Jennifer Enns1998 (UBC)Housewife, Richmond, B.C. Canada
Longxiang Dai 1997 (UBC)Platinum Solutions, Reston, Virginia
Bassam Ghalayini 1996 (UCLA)
Gerda de Vries 1995 (UBC)University of Alberta, Edmonton, Canada
Bruce Hutcheon 1995 (UBC)??
Mark Pernarowski 1990 (UW)Montana State University, Bozeman, MT
Chris Mah 1989 (UBC)Northwestern University, Evanston, IL
Davis Cope 1980 (Vanderbilt U)North Dakota State University, Fargo, ND
Masters Students
Rajpal Thiara 1998 (UBC)
Henry Lai 1993 (UBC)
Toni Foster 1992 (UBC)
Robert Cheung 1984 (UBC)
Mark Reimers 1983 (UBC)
Undergraduate Students (Brian Copeland,David Amundsen,Alex Bui, Vincent Cheung, Sandeep
Bhachu, Adrian Desjardins, and Jonathan Porus)
VIII. BIBLIOGRAPHY
J.J. Wylie, H. Huang, and R.M. Miura, “Asymptotic analysis of a viscous drop falling under gravity”, J. Fluid Mech. (Revising for publication.)
N. Madras, C. Breward, J. Heffernan, R.M. Miura, M.P. Soerensen, and S. Qazi, “Discovery and assessment of new target sites for anti-HIV therapies”, (Revising for publication).
H. Huang, R.M. Miura, and W. Yao, “On van Harreveld’s dual potassium-glutamate hypothesis for cortical speading depression”. (Revising for publication.)
C. Breward, J. Heffernan, R.M. Miura, N. Madras, and MP. Sorensen, “Discovery and assessment of new targets sites for anti-HIV therapies”, Proc. 2nd Fields-MITACS Industrial Problem-Solving Workshop, 2008. (11 pages). (Submitted for publication.)
Y. Cheng, B. Tian, and R.M. Miura, “Mathematical modeling of alternative polyadenylation in the human gene, CSTF3.” SIAM J. Appl. Math. (to appear).
J. Chang, K.C. Brennan, D. He, H. Huang, R.M. Miura, P.L. Wilson, and J.J. Wylie, “A mathematical model of the metabolic and perfusion effects on cortical spreading depression.” PLoS One, 8 (2013), e70469.
J.J. Wylie, H. Huang, and R.M. Miura, “Stretching of viscous threads at low Reynolds number”, J. Fluid Mech. 683 (2011), pp. 212-234.
H. Huang, R.M. Miura, and W. Yao, “A simplified neuronal model for the instigation and propagation of cortical spreading depression”, Adv. Appl. Math. Mech. 3 (2011), pp. 759-773.
M.R. Rodrigo and R.M. Miura, “Exact and approximate traveling waves of reaction-diffusion systems via a variational approach”, Anal. Appl. (Singap.) 9 (2011), pp. 187-199.
W. Yao, H. Huang, and R.M. Miura, “A continuum neuronal model for the propagation of cortical spreading depression”, Bull. Math. Biol. 73 (2011), pp. 2773-2790 (Published online March 15, 2011).
H. Huang, J.J. Wylie, and R.M. Miura, “Restricted diffusion in a cellular medium: A (1+1)-dimensional model”, Bull. Math. Biol. 73 (2011), pp. 1682-1694. (Published online: 16 October 2010.)
H. Huang and R.M. Miura, “Focussed research group on spreading cortical depression and related phenomena”, Report on Focussed Research Group, Banff International Research Station, Banff, Alberta, Canada, August 1-8, 2010. (5 pages)
S.V. Komarova, M. Lopes, S. Qazi, R.M. Miura, and D.J.N. Wall, “Mediators of mechanotransduction between bone cells”, Proceedings of the OCCAM-Fields-MITACS Biomedical Problems Solving Workshop, Fields Institute, Toronto, June 22-26, 2009, pp. 31-38, May 2010.
S.V. Komarova, L. Buono, M. Lopez, R.M. Miura, A. Pan, M. Pugh, S. Qazi, D.J.N. Wall, and T.J.W. Wright, “Mediators of mechanotransduction between bone cells”, Math-in-Medicine Workshop Report, Fields Institute, Toronto, June 22-26, 2009. (4 pages)
J.J. Wylie, H. Huang, and R.M. Miura, “Systems of coupled diffusion equations with degenerate nonlinear source terms: Linear stability and traveling waves”, Disc. Cont. Dyn. Syst. A, 23 (2009), pp. 561-569.
H. Huang, R.M. Miura, and J.J. Wylie, “Optical fiber drawing and dopant transport”, SIAM J. Appl. Math., 69 (2008), pp. 330-347.
R.M. Miura, “Solitons and the inverse scattering method: An historical view”, Sugaku Seminar (in Japanese), 47 (2008) no. 8, pp. 32-38; no 9, pp. 44-49.
H. Huang, J.J. Wylie, R.M. Miura, and P. Howell, “On the formation of glass microelectrodes”, SIAM J. Appl. Math., 67 (2007), pp. 630-666.
P.D. Howell, J.J. Wylie, H. Huang, and R.M. Miura, “Stretching of Heated Threads with Temperature-Dependent Viscosity: Asymptotic Analysis”, Disc. Cont. Dyn. Syst.-B,7 (2007), 553-572.
R.M. Miura, H. Huang, and J.J. Wylie, “Cortical spreading depression: An enigma”, Eur. Phys. J. Special Topics, 147 (2007), pp. 287-302.
J.J. Wylie, H. Huang, and R.M. Miura, “Thermal instability in drawing viscous threads”, J. Fluid Mech., 570(2007), pp. 1-16.
J.J. Wylie and R.M. Miura, “Traveling waves in coupled reaction-diffusion models with degenerate sources”, Phys. Rev. E, 74 (2006), 021909 (and in Virtual J. Biological Phys. Res.,August 15, 2006).
Y. Cheng, R.M. Miura, and B. Tian, “Prediction of mRNA polyadenylation sites by support vector machine”, Bioinformatics, 22 (2006), 2320-2325.
B. Steinberg, Y. Wang, H. Huang, and R.M. Miura, “Spatial buffering mechanism: Mathematical model and computer simulations”, Math. Biosci. Engin., 2 (2005), 675-702.
M. Toda and R.M. Miura, “Nonlinear toys” in Encyclopedia of Nonlinear Science edited by A.C. Scott, Routledge, Taylorand Francis, New York, (2005), pp. 645-647.
S. Reinker, E. Puil, and R.M. Miura, “Membrane resonance and stochastic resonance modulate firing patterns of thalamocortical neurons”, J. Comp. Neurosci., 16 (2004), 15-25.
I. Ran, R.M. Miura, and E. Puil, “Spermine modulates neuronal excitability and NMDA receptors in juvenile gerbil auditory thalamus”,Hearing Res., 176(2003), 65-79.
Y.X. Li, Y.Q. Wang, and R.M. Miura, “Clustering in small networks of excitatory neurons with heterogeneous coupling strengths”, J.Comp. Neurosci., 14, (2003), 139-159.
S. Reinker, E. Puil, and R.M. Miura, “Stochastic and suprathreshold resonances in a stochastic Hindmarsh-Rose model of thalamic neurons”, Bull. Math. Biol., 65 (2003), 641-663.
H. Huang, R.M. Miura, W. Ireland, and E. Puil, “Heat-induced stretching of a glass tube under tension: Appliclation to glass microelectrodes”, SIAM J. Appl. Math., 63 (2003), 1499-1519.
A.E. Desjardins, Y.-X. Li, S. Reinker, R.M. Miura, and R. Neuman, “The influences of Ih on temporal summation in hippocampal CA1 pyramidal neurons: A modeling study”, J. Comp. Neurosci., 15 (2003), 131-142.
R.M. Miura, “Analysis of excitable cell models”, J. Comp. Appl. Math. 144 (2002), 29-47.
B. Yan, R.M. Miura, and Y. Chen, “Direction reversal of fluctuation-induced biased Brownian motion on distorted ratchets”, J. Theor. Biol. 210 (2001), 141-150.
G. Smith, L. Dai, R.M. Miura, and A. Sherman, “Asymptotic analysis of buffered calcium diffusion near a point source”, SIAM J. Appl. Math. 61 (2001), 1816-1838.
B. Topp, K. Promislow, G. de Vries, R.M. Miura, and D.T. Finegood, “The -cell mass, insulin, and glucose model: Pathways to diabetes”, J. Theor. Biol. 206 (2000), 605-619.
J. Enns and R.M. Miura, “Spontaneous secondary spiking,” J. Theor. Biol. 205 (2000), 181-199.
L. Dai and R.M. Miura, “A lattice cellular automata model for diffusion in the brain cell microenvironment and determination of tortuosity and volume fraction,” SIAM J. Appl. Math. 59 (1999), 2247-2273.
Y. Chen, B. Yan, and R.M. Miura, “Asymmetry and direction reversal in fluctuation-induced biased Brownian motion”, Phys. Rev. E 60 (1999), 3771-3775.
G. de Vries and R.M. Miura, “Analysis of a class of models of bursting electrical activity in pancreatic-cells,” SIAM J. Appl. Math. 58 (1998), 607-635.
H. Huang, R.M. Miura, W.P. Ireland, and E. Puil, “Modelling glass microelectrode formation,” in Proceedings of the Fifth Annual Conference of the Computational Fluid Dynamics Society of Canada, May 25-27, 1997 (N. Djilali and S. Dunlop, Eds.), Department of Mechanical Engineering and Centre for Earth and Ocean Research, University of Victoria, Victoria, B.C., May 1997, pp. 10.3-10.8.
R.M. Miura, “Derivation of Gardner's equation,” Methods Appl. Anal. 4 (1997), 134-140.
B. Hutcheon, R.M. Miura, and E. Puil, “Subthreshold membrane resonance in neocortical neurons,” J. Neurophysiol. 76 (1996), 683-697.
B. Hutcheon, R.M. Miura, and E. Puil, “Models of subthreshold membrane resonance in neocortical neurons,” J. Neurophysiol. 76 (1996), 698-714.
G. de Vries, R.M. Miura, and M. Pernarowski, “Parameter studies for an analog model of bursting electrical activity,” in Differential Equations and Applications to Biology and to Industry, edited by K. Cooke, M. Martelli, and H. Thieme, World Scientific, Singapore, 1996, pp. 385-392.
With G. de Vries and M. Pernarowski, “Analysis of models of pancreatic -cells exhibiting temporal pattern formation,” in Pattern Formation: Symmetry Methods and Applications, edited by J. Chadam, W.
Landford, and B. Wetton, The Fields Institute Communications, Vol. 5, Amer. Math. Soc., Providence, RI,
1996, pp. 143-164.
R.M. Miura and M. Pernarowski, “Correlations of rate of insulin release from islets and plateau fractions for -cells,” Bull. Math. Biol. 57 (1995), 229-246.
C.G. Lange and R.M. Miura, “Singular perturbation analysis of boundary-value problems for differential-difference equations. V. Small shifts with layer behavior,” SIAM J. Appl. Math. 54 (1994), 249-272.
C.G. Lange and R.M. Miura, “Singular perturbation analysis of boundary-value problems for differential-difference equations. VI. Small shifts with rapid oscillations,” SIAM J. Appl. Math. 54 (1994), 273-283.
B. Hutcheon, R.M. Miura, Y. Yarom, and E. Puil, “Low threshold calcium current and resonance in thalamic neurons: a model of frequency preference,” J. Neurophysiol. 71 (1994), 583-594.
M. Pernarowski, R.M. Miura, and J. Kevorkian, “Perturbation techniques for models of bursting electrical activity in pancreatic -cells,” SIAM J. Appl. Math. 52 (1992), 1627-1650.
C.G. Lange and R.M. Miura, “Singular perturbation analysis of boundary-value problems for differential-difference equations. IV. A nonlinear example with layer behavior,” Studies in Appl. Math. 84 (1991), 231-273.
M. Pernarowski, R.M. Miura, and J. Kevorkian, “The Sherman-Rinzel-Keizer model for bursting electrical activity in the pancreatic -cell,” in Differential Equations Models in Biology, Epidemiology, and Ecology, Lecture Notes in Biomathematics, Vol 92, edited by S.N. Busenberg and M. Martelli, Springer-Verlag, Berlin, 1991, pp. 34-53.