Welcome to the Home Page of Professor Barry Hughes

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

You can e-mail me at barrydh @ unimelb.edu.au. The caricatures were provided by undergraduate students.

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

I have worked in a variety of other areas including

Here are my papers published from 2001 onwards.

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). (download link)
  • 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 260 (2013) 26-48. (publisher's download link) (authors' final text in preprint form)
  • W. Fulgenzi, A. Melatos and B.D. Hughes, Radio pulsar glitches as a state-dependent Poisson process, Monthly Notices of the Royal Astronomical Society 470 (2017) 4307-4329. (download link from publisher) (preprint of accepted version)
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
  • C.M. Baker, B.D. Hughes and K.A. Landman, Random walks in non-uniform environments with local dynamic interactions, Physical Review E 88 (2013) 042113 (13pp.). download
  • C.J. Penington, B.D. Hughes and K.A. Landman, Interacting motile agents: taking a mean-field approach beyond monomers and nearest-neighbor steps, Physical Review E 89 (2014) 032714 (12pp.). download
  • R.H. Chisholm, B.D. Hughes and K.A. Landman, Erosion by a one-dimensional random walk, Physical Review E 90 (2014) 022140 (11pp.). download
  • A.A. Almet, M. Pan, B.D. Hughes and K.A. Landman, When push comes to shove: exclusion processes with nonlocal consequences, Physica A 437 (2015) 119-129. (publisher download link) (author-formatted preprint)
  • H. Perfahl, B.D. Hughes, T. Alaracon, P.K. Maini, M.C. Lloyd, M. Reuss and H.M. Byrne, 3D hybrid modeling of vascular network formation, Journal of Theoretical Biology 41x (2017) in press. (publisher download link) (arXiv preprint of earlier version)
NEUROSCIENCE
  • J.R. Caffrey, B.D. Hughes, J.M. Britto and K.A. Landman, An in silico agent-based model demonstrates Reelin function in directing lamination of neurons during cortical developmen, PLoS ONE 9(10): e110415 (2014), 11pp. (download link)
  • D.M. Walsh, P.T. Röth, W.R. Holmes, K.A. Landman, T.D. Merson and B.D. Hughes, Is cell migration or proliferation dominant in the formation of linear arrays of oligodendrocytes?, Journal of Theoretical Biology 406 (2016) 17-30. (publisher download link) (author-formatted preprint)
  • D.M. Walsh, T.D. Merson, K.A. Landman and B.D. Hughes, Evidence for cooperative selection of axons for myelination by adjacent oligodendrocytes in the optic nerve, PLoS ONE 11(11): e0165673 (2016), 9pp. + supplementary material (download including supplementary material)
  • D.M. Walsh, K.A. Landman and B.D. Hughes, What is the optimal distribution of myelin along a single axon?', Neuroscience Letters 658 (2017) 97-101. (publisher download link) (author-formatted preprint)
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 48 (2013) 1762-1766.
  • 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 6 (2013) 239-249.
  • 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)
  • F. Frascoli, P.S. Kim, B.D. Hughes and K.A. Landman, A dynamical model of tumour immunotherapy, Mathematical Biosciences 253 (2014) 50-62. (download link from publisher) (author-formatted preprint)
  • C.M. Baker, B.D. Hughes and K.A. Landman, Length-based connectivity metrics and their ecological interpretation, Ecological Indicators 58 (2015) 192-198. (download link from publisher) (author-formatted preprint)
  • T. Lorenzi, R.H. Chisholm, L. Desvillettes and B.D. Hughes, Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments, Journal of Theoretical Biology 386 (2015) 166-176. (download link from publisher) (author-formatted preprint)
  • R.H. Chisholm, T. Lorenzi, L. Desvillettes and B.D. Hughes, Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences, Zeitschrift für angewandte Mathematik und Physik 67 (2016) 100 (34pp.). (on-screen read-only version of published article) (download link from publisher) (author-formatted preprint)
  • T. Leung, B.D. Hughes, F. Frascoli and J.M. McCaw, Periodic solutions in an SIRS model with immune boosting and cross-immunity, Journal of Theoretical Biology 410 (2016) 55-64. (download link from publisher) (arXiv preprint of earlier version)
  • T. Leung, B.D. Hughes, F. Frascoli, P.T. Campbell and J.M. McCaw, Infection-acquired versus vaccine-acquired immunity in an SIRWS model, arXiv:1708.02809v1 [1-bio.PE] 9 Aug 2017 (download link)
  • R.D. Cousens, B.D. Hughes and M.B. Mesgaran, Why we do not expect dispersal probability density functions based on a single mechanism to fit real seed shadows, Journal of Ecology (first published online 13 November 2017). (download link from publisher)
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
  • J.E. Sader, B.D. Hughes, F. Huber and F.J. Giessibl, Interatomic force laws that corrupt their own measurement, arXiv:1709.07571v1 [cond-mat.mes-hall] 22 Sep 2017 (download link)
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 35 (2008) 2209-2233. (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 current teaching interests include first-year analysis and third-year complex analysis. Other recent interests include later year material on ordinary and partial differential equations, integral transforms and related topics.  I have also taught  linear algebra, asymptotic methods, 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.

From 2005 to 2014 inclusive I was Chair of the University of Melbourne Academic Board's Selection Procedures Committee. I am currently a member of the University of Melbourne Academic Board's Academic Programs Committee and of its Examinations Subcommittee, a member of the University's Project Coordination group for its response to the Melbourne Metro Rail Project, and a University of Melbourne Council Fellow elected by the professors for the period 2015−2017.

I have also had extensive commitee experience concerning teaching infrastructure, academic timetabling, and equal employment opportunity for women.

National Strategic Review of Mathematical Sciences Research in Australia

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

Decadal Plan for the Mathematical Sciences in Australia

I was a member of the Steering Committee, the chair of the Working Party on Mathematics and Statistics Education and training in Universities, and a member of the Working Party on Mathematics and Statistics Education in Schools and Colleges (main web site www.science.org.au/mathematics-plan-2016-25: download the plan in PDF form here).

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 held an ongoing appointment to the panel of external reviewers for the Oman Academic Accreditation Authority, formerly known as the Oman Accreditation Council, since 2007.

Created: 19 May 2003
Last modified: 14 November 2017
Authorised by: Barry Hughes, School of Mathematics and Statistics.

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