Welcome to the Home Page of Barry Hughes

I am a member of the Department of Mathematics and Statistics of the University of Melbourne.

You can e-mail me at hughes @ ms.unimelb.edu.au

My books

I am the author of the following books:

Research last century

Links to selected papers published before the year 2000 can be found here.

Research this century

My current research interests are in

Here are some recent papers:

REVIEW ARTICLES

STOCHASTIC MODELLING

  • B.D. Hughes, Anomalous diffusion, stable processes, and generalized functions, Physical Review E 65 (2002) 035105(R), 4 pp.  (APS abstract and download options
  • B.D. Hughes and W.J. Reed, A problem in paleobiology, arXiv: physics/0211090 (20 November 2002, 4 pages).
  • W.J. Reed and B.D. Hughes, On the size distribution of live genera, Journal of Theoretical Biology 217 (2002) 125-135. (download link)
  • W.J. Reed and B.D. Hughes, From gene families and genera to incomes and internet file sizes: why power-laws are so common in nature, Physical Review E 66 (2002) 067103, 4 pp. (APS abstract and download options)
  • W.J. Reed and B.D. Hughes, On the distribution of family names, Physica A319 (2003) 579-590. (download link)
  • W.J. Reed and B.D. Hughes, Power-law distributions from exponential processes: an explanation for the occurrence of long-tailed distributions in biology and elsewhere, Scientiae Mathematicae Japonicae Online e8 (2003) 329-339 (link to issue Table of Contents); equivalent paper version Scientiae Mathematicae Japonicae 58 (2003) 473-483.
  • D.Y.C. Chan, B.D. Hughes, A.S. Leong and W.J. Reed, Stochastically evolving networks, Physical Review E 68 (2003) 066124, 24 pp. (APS abstract and download options)
  • W.J. Reed and B.D. Hughes, A model explaining the size distribution of gene and protein families, Mathematical Biosciences 189 (2004) 97-102. (download link)
  • J.L. Slater, B.D. Hughes and K.A. Landman, Evolving mortal networks, Physical Review E 73 (2006) 066111. (APS abstract and download options)
  • W.J. Reed and B.D. Hughes, Theoretical size distribution of fossil taxa: analysis of a null model', Theoretical Biology and Medical Modelling 4:12 (2007), 12pp., doi:10.1186/1742-4682-4-12. (download link)
  • A.Q. Cai, K.A. Landman, B.D. Hughes and C.M. Witt, T cell development in the thymus: from periodic seeding to constant output, Journal of Theoretical Biology 249 (2007) 384-394. (download link)
  • J.L. Slater, K.A. Landman, B.D. Hughes, Q. Shen and S. Temple, Cell lineage tree models of neurogenesis, Journal of Theoretical Biology in press (2008).
BIOLOGICAL CELL MOTILITY
  • A.Q. Cai, K.A. Landman and B.D. Hughes, Modelling directional guidance and motility regulation in cell migration, Bulletin of Mathematical Biology 68 (2006) 25-52. (download link)
  • M.J. Simpson, K.A. Landman, B.D. Hughes and D.F. Newgreen, Looking inside an invasion wave of cells using continuum models: proliferation is the key, Journal of Theoretical Biology 243 (2006) 343-360. (download link)
  • A.Q. Cai, K.A. Landman and B.D. Hughes, Multiscale modelling of a wound healing assay, Journal of Theoretical Biology 245 (2007) 576-594. (download link)
  • K.A. Landman, A.Q. Cai and B.D. Hughes, Travelling waves of attached and detached cells in a wound healing cell migration assay, Bulletin of Mathematical Biology 69 (2007) 2119-2138. (download link)
  • M.J. Simpson, A. Merrifield, K.A. Landman and B.D. Hughes, Simulating invasion with cellular automata: connecting individual and macroscopic cell-scale and population-scale properties, Physical Review E 76 (2007) 021918. (APS abstract and download options)
  • M.J. Simpson, K.A. Landman and B.D. Hughes, Distinguishing between directed and undirected cell motility within an invading cell population, Bulletin of Mathematical Biology in press (2008).
  • A. Tremel, A. Cai, N. Tirtaatmadja, B.D. Hughes, G.W. Stevens, K.A. Landman and A.J. O'Connor, Cell migration and proliferation during monolayer formation and wound healing, Chemical Engineering Science in press (2008).
  • M.J. Simpson, K.A. Landman and B.D. Hughes, Multi-species simple exclusion processes, Physica A in press (2008).
OTHER AREAS
  • L. Merlot, N. Boland, B.D. Hughes and P.J. Stuckey, A hybrid algorithm for the examination timetabling problem, in Practice and Theory of Automated Timetabling IV, edited by E. Burke and P. De Causemaecker, Lecture Notes in Computer Science, Volume 2740, pp.207-231 (Berlin, Springer-Verlag, 2003).
  • N. Boland, B.D. Hughes, L.T.G. Merlot and P.J. Stuckey, New integer linear programming approaches for course timetabling, Computers and Operations Research in press. (download link)
  • D.C.M. Dickson, B.D. Hughes and Zhang Lianzeng, The density of the time to ruin for a Sparre Andersen process with Erlang arrivals and exponential claims, Scandinavian Actuarial Journal 2005 (2005) 358-376. (download link)
Teaching

My most recent teaching interests include first year linear algebra and analysis, and later year material on differential equations, integral transforms and asymptotic methods.  I have also taught  continuum mechanics, mathematical modelling, and probability.

Academic Administration

I am interested and active in academic timetabling, undergraduate and postgraduate selection policies and practices, the interface between school and university mathematics education, and the effects of English language background on student progress. I am currently Chair of the Academic Board's Selection Procedures Committee. I have also had extensive commitee experience concerning teaching infrastructure and equal employment opportunity for women.

National Strategic Review of Mathematical Sciences

I was the Executive Director of a National Strategic Review of Mathematical Sciences Research in Australia, which reported in December 2006.

Created: 19 May 2003
Last modified: 19 November 2008
Authorised by: Barry Hughes, Department of Mathematics and Statistics.

Maintained by: Barry Hughes, Department of Mathematics and Statistics.
Email: hughes @ ms.unimelb.edu.au