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Department of Mathematical Sciences

Miura, Robert M.

Contact Info
Title: Distinguished Professor
Email: miura@njit.edu
Office: 515A Cullimore
Hours: Fall 2013: M,R 1-2:25 pm
Phone: 973-596-5464
Dept: Mathematical Sciences
Webpage: http://m.njit.edu/~miura/

About Me

Robert M. Miura is Professor of Mathematical Sciences and of Biomedical Engineering at the New Jersey Institute of Technology (NJIT).  The Department of Mathematical Sciences (DMS) is located in the College of Science and Liberal Arts (CSLA) at NJIT.  

The Department of Mathematical Sciences at NJIT has ten active mathematical biologists, comprising the largest group of math biologists in a mathematics department in North America.  Seven of these math biologists focus their research on computational neuroscience, including two whose research is on the electrophysiology of the nervous system.  Graduate students in DMS can earn a Ph.D. degree in mathematical sciences, with an emphasis in the field of computational biology. Undergraduate students in mathematical sciences can earn a B.S. degree in mathematical sciences and are given the opportunity to conduct leading edge research.

Education

  • PhD, Princeton University
  • MA, Princeton University
  • MS, University of  California, Berkeley
  • BS, University of  California, Berkeley 

Honors

  • Leroy P. Steele Prize, 2006 (with C.S. Gardner, J.M. Greene, and M.D. Kruskal)
  • AAAS Fellow, 2005
  • Fellow, Royal Society of Canada, 1995
  • John Simon Guggenheim Fellow, 1980-1981
  • UBC Senior Killam Fellowship, University of British Columbia, 1980-1981

Courses I Teach

Not teaching any courses this semester

Courses Taught

Spring 2007 -- Math 112 - Calculus II - Section 004Fall 2006 ----- Math 111 - Calculus I - Section 001                                                    - Section 003Spring 2006 - Math 791 - Graduate SeminarFall 2005 ----- Math 599 - Teaching in Mathematics              ----- Math 791 - Graduate SeminarFall 2004 ----- Math 690 - Advanced Applied Mathematics III:  Partial Differential Equations


Research Interests

The research of Robert M. Miura covers several areas in mathematical physiology, especially in neuroscience. The techniques used are mathematical modelling, mathematical analysis, approximation methods, and numerical simulations. His research on excitable biological cells, including neurons, cardiac cells, and pancreatic beta-cells, is aimed at understanding electrical effects on cell function and signalling. These studies involve detailed investigations of membrane electrical properties, subthreshold resonance, stochastic resonance, signal propagation on dendrites, and mechanisms leading to bursting electrical activity. His studies on spreading cortical depression, and more generally intercellular communication via ion flows, include analysis and simulations of partial differential equation models. Diffusion of ions in the brain is studied using the lattice Boltzmann method.


Recent Publications

  • R.M. Miura, H. Huang, and J.J. Wylie, "Cortical spreading depression:  An enigma". (submitted for publication).
  • 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.
  • H. Huang, J.J. Wylie, R.M. Miura, and P. Howell, “On the formation of glass microelectrodes”,  SIAM J. Appl. Math. 67 (2007), 630-666.
  • J.J. Wylie, H. Huang, and R.M. Miura, "Thermal instability in drawing viscous threads", J. Fluid Mech., 570 (2007), 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. and Engin., 2 (2005), 675-702. 
  • M. Toda and R.M. Miura, “Nonlinear toys” in Encyclopedia of Nonlinear Science edited by A.C. Scott, Routledge, Taylor and 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: Application 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.