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Dr. Murray Alexander

Physics


Murray Alexander

Adjunct Professor of Physics


Ph.D. (Manchester, 1973)

Phone: (204) 786-9020
Fax: (204) 774-4134
U of W Office: 2C31
E-Mail: mu.alexander@uwinnipeg.ca




COURSES (2017-2018):

  • PHYS-2201 - Electricity and Magnetism
  • PHYS-4601 - Quantum Mechanics II
  • MATH-3103 - Methods: Advanced Calculus

RESEARCH INTERESTS:

Modeling of Infectious Diseases

Control of infectious diseases is a major concern of public health. An effective approach to studying an infectious disease process is through mathematical and computational models - either at the population-level (epidemiology) or cellular-level (immunology). This offers a viable alternative to expensive and time-consuming clinical testing, and can predict rich and sometimes unforeseen dynamical behavior. Currently, efforts are focused towards developing detailed cellular-level modeling of some of the enormously complex, and incompletely understood, immunological processes using methods from statistical mechanics, critical phenomena and transport processes, in some cases incorporating various intervention strategies (e.g., vaccination against influenza, or drug treatment of HIV). A recent example this approach has been to define the onset of severe form of influenza as a ‘phase transition’ in the spread of viral infection in the epithelial layer of the lung.

Cell Function and Motility

Mathematical and computational models of chemotaxis and competitive chemotactic processes. Detailed models of individual cells, including intra-cellular processes activated by ligand-receptor binding. Investigation of transport processes inside neutrophil cells, to model their motility and shape subject to intracellular biochemical processes.

Astrophysics of Binary Star Systems

Effects of stellar winds arising from the late-type secondary in subdwarf OB binary systems caused by irradiation of the cool secondary by the hot primary component, and the interaction of the wind with the magnetic field of the secondary, in order to explain the observed period changes in these systems.


PUBLICATIONS 2006-2012:

  • M.E. Alexander, R. Kobes. Effects of vaccination and population structure on influenza epidemic spread in the presence of two circulating strains. BMC Public Health, 11(Suppl 1):S8, 2011.
  • B. Schattka, M. Alexander, S. Low Ying, A. Man, R.A. Shaw. Metabolic fingerprinting of biofluids by infrared spectroscopy: Modeling and optimization of flow rates for laminar fluid diffusion interface sample preconditioning. Analytical Chemistry 83 (2): 555–562, 2011.
  • M.E. Alexander, R. Kobes. Generating and solving the mean-field and pair-approximation equations in epidemiological models. arXiv: 1007.2883v1 [physics.soc-ph] (2010).
  • M.E. Alexander, R. Kobes. Expansion of the conditional probability function in a network with nearest-neighbour degree correlations. arXiv: 1007.0717 [phys-soc-ph] (2010).
  • M.E. Alexander, S.M. Dietrich, Y. Hua, and S.M. Moghadas. A comparative evaluation of modelling strategies for the effect of treatment and host interactions on the spread of drug resistance. J. Theor. Biol., 259: 253-263, 2009.
  • TJ Vincent, JD. Thiessen, LM Kurjewicz, SL Germscheid, AJ. Turner, P Zhilkin, ME Alexander, M Martin. Longitudinal Brain Size Measurements in APP/PS1 Transgenic Mice. Magnetic Resonance Insights 4: 1–8, 2010.
  • P. Zhilkin, M.E. Alexander, J. Sun. Nonlinear registration using variational principle for mutual information. Pattern Recognition, 2008, 41(8), p. 2493-2502.
  • Moghadas, S.M., M.E. Alexander & B.M. Sahai. Waning herd immunity: a challenge for eradication of measles. Rocky Mountain J. Math., 38(5):1587-1607, 2008.
  • M.E. Alexander, Moghadas S.M., Röst G., Wu J.-H. A delay differential model for pandemic influenza with antiviral treatment. Bull. Math. Biol., 70:382-397, 2008.
  • M.E. Alexander, C.S. Bowman, Z. Feng, M. Gardham, S.M. Moghadas, G. Röst, J. Wu, P. Yan. Emergence of drug-resistance: implications for antiviral control of pandemic Influenza. Proc. R. Soc. B, 274(1619), 1675-1684, 2007.
  • Nilam, Alexander M.E., R. Mathur, S.M. Moghadas, and P.N. Shivakumar. Modelling the effect of CSII on the control of glucose concentration in Type 1 diabetes. Applied Math. Comp., 187: 1476-1483, 2007.
  • Moghadas S.M., M.E. Alexander, Bifurcations in an epidemic model with nonlinear incidence and infection-dependent removal rate. IMA Journal, Mathematical Medicine and Biology, 23(3), 231-254, 2006.
  • Alexander, M.E., A.R. Summers, and S.M. Moghadas. “Neimark–Sacker bifurcations in a non-standard numerical scheme for a class of positivity-preserving ODEs Proceedings of the Royal Society A, 462(2074) pp. 3167 – 3184, 2006.
  • M.E. Alexander, S.M. Moghadas, P. Rohani, and A.R. Summers, “Modelling the effect of a booster vaccination on disease epidemiology”, Journal of Mathematical Biology 52, pp. 290-306, 2006.
  • S.M. Moghadas and M.E. Alexander, “Bifurcation and numerical analysis of a generalized Gause-type predator-prey model”, Dynamics of Continuous, Discrete and Impulsive Systems, Series B, 13(5), pp. 533-554, 2006.