Welcome to the Home Page of Professor Barry Hughes

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

You can e-mail me at barrydh @ 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 or recent research interests are in

Here are some recent papers:

REVIEW ARTICLES AND EXPOSITORY ARTICLES

STOCHASTIC MODELLING

  • B.D. Hughes, Anomalous diffusion, stable processes, and generalized functions, Physical Review E 65 (2002) 035105(R), 4 pp. download
  • 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. download
  • 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. download
  • 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. download
  • 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 256 (2009) 164-179. (download link)
  • B.D. Hughes and K. Fellner, Continuum models of cohesive stochastic swarms: The effect of motility on aggregation patterns, Physica D: Nonlinear Phenomena, available online 11 May 2013 (publisher's download link) (authors' final text in preprint form)
BIOLOGICAL CELL MOTILITY: CONTINUUM MODELLING, PROBABILISTIC MODELLING AND AGENT-BASED SIMULATION
  • 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. download
  • 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 64 (2009) 247-253. (download link)
  • M.J. Simpson, K.A. Landman and B.D. Hughes, Multi-species simple exclusion processes, Physica A 388 (2009) 399-406. (download link)
  • 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 71(2009) 781-799. (download link)
  • M.J. Simpson, K.A. Landman and B.D. Hughes, Pathlines in exclusion processes, Physical Review E 79 (2009) 031920 (5pp.). download
  • M.J. Simpson, K.A. Landman, B.D. Hughes and A.E. Fernando, A model for mesoscale patterns in motile populations, Physica A 389 (2010) 1412-1424. (download link)
  • M.J. Simpson, K.A. Landman and B.D. Hughes, Cell invasion with proliferation mechanisms motivated by time-lapse data, Physica A 389 (2010) 3779-3790. (download link)
  • C.J. Penington, B.D. Hughes and K.A. Landman, Building macroscale models from microscale probabilistic models: a general probabilistic approach for nonlinear diffusion and multi-species phenomena, Physical Review E 84 (2011) 051909 (16pp.). download
  • C.J. Penington, K. Korvasova, B.D. Hughes and K.A. Landman, Collective motion of dimers, Physical Review E 86 (2012) 041120 (12pp.). download
OTHER AREAS OF MATHEMATICAL BIOLOGY
  • J.R. Caffrey, B.D. Hughes and K.A. Landman, Dispersal, settling and layer formation, Mathematical Biosciences 232 (2011) 42-56. (download link)
  • R.H. Chisholm, B.D. Hughes and K.A. Landman, Building a morphogen gradient without diffusion in a growing tissue, PLoS ONE 5(9): e12857 (2010), 9pp. (download link)
  • R.H. Chisholm, B.D. Hughes, K.A. Landman, G. Mayer and P.M. Whitington, When are cellular oscillators sufficient for sequential segmentation? Journal of Theoretical Biology 279 (2011) 150-160. (download link)
  • R.H. Chisholm, B.D. Hughes, K.A. Landman and J. Hutson, Mathematical modelling of gubernaculum during inguino-scrotal migration shows limb bud characteristics, Journal of Pediatric Surgery in press.
  • R.H. Chisholm, B.D. Hughes, K.A. Landman and M.H. Zaman, Analytic study of three-dimensional single cell migration with and without proteolytic enzymes, Cellular and Molecular Bioengineering in press.
  • F. Frascoli, B.D. Hughes, M.H. Zaman and K.A. Landman, A computational model for collective cellular motion in three dimensions: general framework and case study for cell pair dynamics, PLoS ONE 8(3): e59249 (2013), 16pp. (download link)
NANOTECHNOLOGY
  • J.E. Sader, J. Sanelli, B.D. Hughes, J.P. Monty and E.J. Bieske, Distortion in the thermal noise spectrum and quality factor of nanomechanical devices due to finite frequency resolution with applications to the atomic force microscope, Review of Scientific Instruments 82 (2011) 095104 (10pp.). download
  • J.E. Sader, B.D. Hughes, J.A. Sanelli and E.J. Bieske, Effect of multiplicative noise on least-squares parameter estimation with applications to the atomic force microscope, Review of Scientific Instruments 83 (2012) 055106 (6pp.). download
MISCELLANY
  • 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 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 University of Melbourne Academic Board's Selection Procedures Committee.

I have also had extensive commitee experience concerning teaching infrastructure, academic timetabling, 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.

Other Reviewing Activities

I have been invited to act as an external reviewer for the following universities:

  • University of Newcastle, Australia 2008: member of Review Panel for Mathematics and Statistics programs
  • University of Newcastle, Australia 2012: member of Review Panel for the Bachelor of Science
  • King Abdulaziz University, Jeddah, Saudi Arabia 2006: member of Pilot Review panels for the University as a whole, and also specifically for the Mathematics Program
  • Qassim University, Qassim Province, Saudi Arabia 2009: chair of Developmental Review Panel for the Mathematics Program (photo on site)
  • Al Imam Muhammad ibn Saud Islamic University, Riyadh, Saudi Arabia 2010: chair of Developmental Review Panel for the Applied Mathematics Program (photo at Al Musmak (the Old Fort))
The reviews of Saudi universities were undertaken on behalf of the National Commission for Academic Accreditation and Assessment.

I have been appointed as a reviewer for 2007 to 2013 by the Oman Academic Accreditation Authority, formerly known as the Oman Accreditation Council.

Created: 19 May 2003
Last modified: 20 March 2013
Authorised by: Barry Hughes, Department of Mathematics and Statistics.

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