Emeritus Professor Bruce Henry | Brain Sciences UNSW

Tabs

Main

University role:

Emeritus Professor

Phone:

9385 7001

Email:

B.Henry@unsw.edu.au

ABOUT ME

Biography

My research is in the broad area of nonlinear and statistical science with particular interests in; pattern formation, random walks, anomalous diffusion, fractional calculus, applications of chaos and fractals, mathematical modelling, stochastic modelling, neuronal degeneration, spread of infectious diseases, growth of stromatolites, nonlinear lattice dynamics and statistical mechanics. My current work is focussed on mathematical models for subdiffusive transport.

My teaching is in applied mathematics areas of calculus, differential equations, dynamical systems.

Education

PhD "Nonlinear Vibrational Excitations in a Diatomic Chain", Supervised by Jaan Oitmaa (Theoretical Physics) and Alec Opie (Applied Mathematics), UNSW 1985
BSc(Hons I), Theoretical Physics, UNSW 1981

Training

QEII Fellow, Institute for Advanced Studies, ANU, 1989-1991
Postdoctoral Fellow, Institute for Advanced Studies, ANU, 1987-1989
Postdoctoral Fellow, University of Waterloo, Canada, 1984-1987

RESEARCH

My Research Goals

Develop mathematical methods and models to describe subdiffusive transport in complex environments
Develop mathematical models for electrotonic properties of spiny neurons
Develop mathematical models for spread of infectious diseases in complex systems

My Research in Detail

My research is concerned with the development and application of mathematical methods from Nonlinear Dynamical Systems and from Statistical Physics to model, non-equilibrium behaviour, pattern formation, transport, and self-organization in complex systems. I have been publishing in this area for more than thirty years.

Over the past decade I have been working at the forefront of research on developing, analyzing and simulating mathematical models for sub-diffusion. Mathematical models of diffusion processes are widely used across a broad range of disciplines in systems involving random motions or random fluctuations. Famous models in this area include the Fokker-Planck equation, the Feynman-Kac equation and the Black-Scholes equation. One of the most fundamental results of standard diffusion is that the mean square displacement of the diffusing entities scales linearly with time. This result was the centrepiece of both Einstein's classic 1905 paper on Brownian motion and Bachelier's pioneering 1900 PhD thesis on pricing financial options, and it is consistent with the Central Limit Theorem of probability theory. Over the past few decades, sophisticated experiments and data collection in numerous systems have revealed experimental measurements of mean square displacements that scale slower than linearly with time. Diffusive transport with this property is called sub-diffusion. My major contribution has been the development of a new mathematical paradigm, fractional reaction diffusion equations, for modelling pattern formation and signalling in systems with sub-diffusion, reactions and forcing. My group introduced the first fractional reaction-sub-diffusion equation from the theory of continuous time random walks (Henry and Wearne, 2000). We carried out the first studies of Turing pattern formation in fractional reaction-diffusion systems (Henry and Wearne, 2002, Henry, Langlands and Wearne, 2005). We introduced the first implicit numerical scheme for solving fractional diffusion equations (Langlands and Henry, 2005). We generalized the continuous time random walk framework to include linear reaction kinetics (Henry, Langlands and Wearne, 2006). We extended subdiffusive transport models to include forcing from chemotaxis (Langlands and Henry, 2010). We derived the correct fractional Fokker-Planck equation to model subdiffusive trasnport with forcing from general space-and-time dependent forces (Henry, Langlands and Straka, 2010). We have also developed a fractional cable equation model to describe sub-diffusive transport in spiny dendrites of nerve cells (Henry, Langlands and Wearne, 2009, Langlands, Henry and Wearne, 2011). Recently we have begun to extend transport models with reactions and forcing to networks (Angstmann, Donnelly, Henry, 2013).

Current Student Projects (PhD and Honours)

Subdiffusive transport on networks
Spread of infectious diseases on networks
Stochastic resonance in systems with subdiffusive transport

Advice for Prospective Students

Be open minded, be confident, follow the path suggested by your supervisor until you know enough not to. Talk to other students, socialize. Be prepared to work hard for long periods of time. Talk to your supervisor. Join the team. Learn how to develop magical powers.

Recent Grants

ARC Discovery Project 2014, 2015, 2016 "Fractional subdiffusion: Modelling and computation"
ARC Discovery Project 2013, 2014, 2015 "Mathematical modelling can provide vital information on the effectiveness and practical implementation of microbicides and vaccines against HIV"
ARC Discovery Project 2010, 2011, 2012 "New mathematics of fractional diffusion for understanding cognitive impairment at the neuronal level"
ARC Discovery Project 2006, 2007, 2008 "Mathematical measurement and modelling of neuronal degeneration"

TEACHING & OUTREACH

Courses I Teach

Current

MATH1231: Mathematics 1B - Calculus

Recent Years

MATH2120 Differential Equations
MATH2281 Biomathematics
MATH3041 Mathematical Modelling for Real World Systems
MATH3201 Dynamical Systems and Chaos
MATH5215 Modern Topics in Dynamics

Professional affilliations and service positions

Head of School, School of Mathematics and Statistics
Deputy Chair, Australian Council for Heads of Mathematical Sciences
Editorial Board, Parabola
Fellow, Australian Institute of Physics
Fellow, Australian Mathematical Society
Member, American Physical Society

Research

Field of Research (FOR) Tag:

Dynamical Systems in Applications

Stochastic Analysis and Modelling

Complex Physical Systems

Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter

Applied Mathematics not elsewhere classified

Socio-economic Objective (SEO) tags:

Expanding Knowledge in the Mathematical Sciences

Expanding Knowledge in the Physical Sciences

Expanding Knowledge in the Biological Sciences

Publications related to this Person

Book Chapters

Henry BI; Langlands TA; Straka P, 2010, 'An Introduction to Fractional Diffusion', in Dewar RL; Detering F (ed.), Complex Physical, Biophysical and Econophysical Systems, Proc. 22nd Canberra International Physics Summer School, The Australian National University, Canberra, 8-19 December 2008, edn. World Scientific Lecture Notes in Complex Systems, Vol. 9, World Scientific, Hackensack, NJ, pp. 37 - 89

Lovell NH; Henry BI; Celler BG; Camacho F; Carlson DE; Connolly M, 2001, 'Nonlinear deterministic behavior in blood pressure control', in Akay M (ed.), Nonlinear Biomedical Signal Processing, Insititue of Electrical and Electronics Engineers, Inc., pp. 282 - 293, http://dx.doi.org/10.1109/9780470545379.ch11

Henry BI; Lovell NH; Camacho F, 2001, 'Nonlinear dynamics time series analysis', in Akay M (ed.), Nonlinear Biomedical Signal Processing, Insititue of Electrical and Electronics Engineers, Inc., pp. 1 - 39, http://dx.doi.org/10.1109/9780470545379.ch1

Lovell NH; Henry BI; Celler BG; Camacho F; Carlson DE; Connolly M, 1998, '`Nonlinear deterministic behaviour in blood pressure control` in Nonlinear Biomedical Signal Processing', in Akay M (ed.), Nonlinear Biomedical Signal Processing, edn. Original, Insititue of Electrical and Electronics Engineers, Inc.

Journal articles

Angstmann CN; Henry BI; McGann AV, 2019, 'Time-fractional geometric Brownian motion from continuous time random walks', Physica A: Statistical Mechanics and its Applications, vol. 526, http://dx.doi.org/10.1016/j.physa.2019.04.238

Angstmann CN; Henry BI; Jacobs BA; McGann AV, 2019, 'An explicit numerical scheme for solving fractional order compartment models from the master equations of a stochastic process', Communications in Nonlinear Science and Numerical Simulation, vol. 68, pp. 188 - 202, http://dx.doi.org/10.1016/j.cnsns.2018.07.009

Batchelor MT; Burne RV; Henry BI; Li F; Paul J, 2018, 'A biofilm and organomineralisation model for the growth and limiting size of ooids', Scientific Reports, vol. 8, http://dx.doi.org/10.1038/s41598-017-18908-4

Nichols JA; Henry BI; Angstmann CN, 2018, 'Subdiffusive discrete time random walks via Monte Carlo and subordination', Journal of Computational Physics, vol. 372, pp. 373 - 384, http://dx.doi.org/10.1016/j.jcp.2018.06.044

Ortega-Piwonka I; Angstmann C; Henry BI; Reece PJ, 2018, 'Noise induced aperiodic rotations of particles trapped by a non-conservative force', Chaos, vol. 28, pp. 043101 - 043101, http://dx.doi.org/10.1063/1.5018443

Angstmann C; Henry BI; McGann A, 2017, 'A Fractional-Order Infectivity and Recovery SIR Model', Fractal and Fractional, vol. 1, pp. 11 - 11, http://dx.doi.org/10.3390/fractalfract1010011

Angstmann CN; Henry BI; McGann AV, 2017, 'Generalized fractional diffusion equations for subdiffusion in arbitrarily growing domains', Physical Review E, vol. 96, pp. 042153 - 042153, http://dx.doi.org/10.1103/physreve.96.042153

Angstmann CN; Henry BI; Jacobs BA; McGann AV, 2017, 'A time-fractional generalised advection equation from a stochastic process', Chaos, Solitons and Fractals, vol. 102, pp. 175 - 183, http://dx.doi.org/10.1016/j.chaos.2017.04.040

Angstmann CN; Henry BI; Jacobs BA; McGann AV, 2017, 'Integrablization of time fractional PDEs', Computers and Mathematics with Applications, vol. 73, pp. 1053 - 1062, http://dx.doi.org/10.1016/j.camwa.2016.12.010

Angstmann CN; Henry BI; Ortega-Piwonka I, 2017, 'Generalized master equations and fractional Fokker–Planck equations from continuous time random walks with arbitrary initial conditions', Computers and Mathematics with Applications, vol. 73, pp. 1315 - 1324, http://dx.doi.org/10.1016/j.camwa.2016.11.015

Angstmann CN; Erickson AM; Henry BI; McGann A; Murray J; Nichols J, 2017, 'Fractional order compartment models', SIAM Journal on Applied Mathematics, vol. 77, pp. 430 - 446, http://dx.doi.org/10.1137/16M1069249

Macnamara S; Henry B; McLean W, 2017, 'Fractional euler limits and their applications', SIAM Journal on Applied Mathematics, vol. 77, pp. 447 - 469, http://dx.doi.org/10.1137/16M1091861

Boon M; Henry B; Chu B; Basahi N; Suttle C; Luu C; Leung H; Hing S, 2016, 'Fractal Dimension Analysis of Transient Visual Evoked Potentials: Optimisation and Applications', PLoS One, vol. 11, http://dx.doi.org/10.1371/journal.pone.0161565

Angstmann CN; Henry BI; McGann AV, 2016, 'A fractional-order infectivity SIR model', Physica A: Statistical Mechanics and its Applications, vol. 452, pp. 86 - 93, http://dx.doi.org/10.1016/j.physa.2016.02.029

Angstmann CN; Henry BI; McGann AV, 2016, 'Discretization of Fractional Differential Equations by a Piecewise Constant Approximation', ArXiv, vol. 12, pp. 23 - 36, http://dx.doi.org/10.1051/mmnp/2017063

Angstmann CN; Henry BI; McGann AV, 2016, 'A fractional order recovery SIR model from a stochastic process', Bulletin of Mathematical Biology, vol. 78, pp. 468 - 499, http://dx.doi.org/10.1007/s11538-016-0151-7

Walsh JC; Angstmann CN; McGann AV; Henry BI; Duggin IG; Curmi PMG, 2016, 'Patterning of the MinD cell division protein in cells of arbitrary shape can be predicted using a heuristic dispersion relation', AIMS Biophysics, vol. 3, pp. 119 - 145, http://dx.doi.org/10.3934/biophy.2016.1.119

Toe WJ; Ortega-Piwonka I; Angstmann CN; Gao Q; Tan HH; Jagadish C; Henry BI; Reece PJ, 2016, 'Nonconservative dynamics of optically trapped high-aspect-ratio nanowires', Physical Review E, vol. 93, http://dx.doi.org/10.1103/PhysRevE.93.022137

Angstmann CN; Donnelly IC; Henry BI; Jacobs BA; Langlands TAM; Nichols JA, 2016, 'From stochastic processes to numerical methods: A new scheme for solving reaction subdiffusion fractional partial differential equations', Journal of Computational Physics, vol. 307, pp. 508 - 534, http://dx.doi.org/10.1016/j.jcp.2015.11.053

Angstmann CN; Donnelly IC; Henry BI; Langlands TAM, 2016, 'A Mathematical Model for the Proliferation, Accumulation and Spread of Pathogenic Proteins Along Neuronal Pathways with Locally Anomalous Trapping', Mathematical Modelling of Natural Phenomena, vol. 11, pp. 142 - 156, http://dx.doi.org/10.1051/mmnp/20161139

Erickson AM; Henry BI; Murray JM; Klasse PJ; Angstmann CN, 2015, 'Predicting First Traversal Times for Virions and Nanoparticles in Mucus with Slowed Diffusion', Biophysical Journal, vol. 109, pp. 164 - 172, http://dx.doi.org/10.1016/j.bpj.2015.05.034

Angstmann CN; Donnelly IC; Henry BI; Nichols JA, 2015, 'A discrete time random walk model for anomalous diffusion', Journal of Computational Physics, vol. 293, pp. 53 - 69, http://dx.doi.org/10.1016/j.jcp.2014.08.003

Angstmann CN; Donnelly IC; Henry BI; Langlands TAM; Straka P, 2015, 'Generalized continuous time random walks, master equations, and fractional Fokker-Planck equations', SIAM Journal on Applied Mathematics, vol. 75, pp. 1445 - 1468, http://dx.doi.org/10.1137/15M1011299

Henry B, 2014, 'An applied mathematician's apology', Journal and Proceedings of the Royal Society of New South Wales, vol. 147, pp. 94 - 100

Angstmann CN; Donnelly IC; Henry BI; Langlands TAM, 2013, 'Continuous-time random walks on networks with vertex- and time-dependent forcing', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 88, http://dx.doi.org/10.1103/PhysRevE.88.022811

Stancevic O; Angstmann CN; Murray JM, 2013, 'Turing patterns from dynamics of early HIV infection', Bulletin of Mathematical Biology, vol. 75, pp. 774 - 795, http://dx.doi.org/10.1007/s11538-013-9834-5

Angstmann CN; Donnelly IC; Henry BI, 2013, 'Continuous time random walks with reactions forcing and trapping', Mathematical Modelling of Natural Phenomena (MMNP), vol. 8, pp. 17 - 27, http://dx.doi.org/10.1051/mmnp/20138202

Angstmann CN; Donnelly IC; Henry BI, 2013, 'Pattern formation on networks with reactions: A continuous-time random-walk approach', Physical Review E, vol. 87, pp. Article 032804 (13pp), http://dx.doi.org/10.1103/PhysRevE.87.032804

Angstmann CN; Henry BI, 2011, 'Continuous-time random walks that alter environmental transport properties', Physical Review E, vol. 84, pp. 061146 (8pp), http://dx.doi.org/10.1103/PhysRevE.84.061146

Langlands TA; Henry BI; Wearne SL, 2011, 'Fractional cable equation models for anomalous electrodiffusion in nerve cells: Finite domain solutions', SIAM Journal on Applied Mathematics, vol. 71, pp. 1168 - 1203, http://dx.doi.org/10.1137/090775920

Straka P; Henry BI, 2011, 'Lagging and leading coupled continuous time random walks, renewal times and their joint limits', Stochastic Processes and their Applications, vol. 121, pp. 324 - 336, http://dx.doi.org/10.1016/j.spa.2010.10.003

Abi-Salloum TY; Henry B; Davis JP; Narducci FA, 2010, 'Resonances and excitation pathways in four-level N-scheme atomic systems', Physical Review A - Atomic, Molecular, and Optical Physics, vol. 82, http://dx.doi.org/10.1103/PhysRevA.82.013834

Henry BI; Langlands TA; Straka P, 2010, 'Fractional Fokker-Planck equations for subdiffusion with space-and time-dependent forces', Physical Review Letters, vol. 105, pp. 170602-1 - 170602-4, http://dx.doi.org/10.1103/PhysRevLett.105.170602

Langlands TA; Henry BI, 2010, 'Fractional chemotaxis diffusion equations', Physical Review E, vol. 81, pp. 051102-1 - 051102-12, http://dx.doi.org/10.1103/PhysRevE.81.051102

Boon M; Suttle CM; Henry BI; Dain SJ, 2009, 'Dynamics of chromatic visual system processing differ in complexity between children and adults', Journal of Vision, vol. 96, pp. 1 - 17, http://dx.doi.org/10.1167/9.6.22

Kabaso D; Coskren P; Henry BI; Hof PR; Wearne SL, 2009, 'The electrotonic structure of pyramidal neurons contributing to prefrontal cortical circuits in macaque monkeys is significantly altered in aging', Cerebral cortex, vol. 19, pp. 2248 - 2268, http://dx.doi.org/10.1093/cercor/bhn242

Henry BI; Langlands TA; Wearne SL, 2009, 'Fractional cable equation models for anomalous electrodiffusion in nerve cells: infinite domain solutions', Journal of Mathematical Biology, vol. 59, pp. 761 - 808, http://dx.doi.org/10.1007/s00285-009-0251-1

Boon M; Henry BI; Suttle CM; Dain SJ, 2008, 'The correlation dimension: A useful objective measure of the transient visual evoked potential?', Journal of Vision, vol. 8, pp. 1 - 21, http://dx.doi.org/10.1167/8.1.6

Henry BI; Langlands TA; Wearne SL, 2008, 'Fractional cable models for spiny neuronal dendrites', Physical Review Letters, vol. 100, pp. 128103, http://dx.doi.org/10.1103/PhysRevLett.100.128103

Langlands TA; Henry BI; Wearne SL, 2008, 'Anomalous subdiffusion with multispecies linear reaction dynamics', Physical Review E, vol. 77, pp. 021111-1 - 021111-9, http://dx.doi.org/10.1103/PhysRevE.77.021111

Langlands TA; Henry BI; Wearne SL, 2007, 'Turing pattern formation with fractional diffusion and fractional reactions', Journal of Physics: Condensed Matter, vol. 19, pp. 065115, http://dx.doi.org/10.1088/0953-8984/19/6/065115

Grzesik Z; Bak T; Nowotny J; Henry BI, 2007, 'Chemical diffusion in amphoteric oxide semiconductors', Advances in Applied Ceramics, vol. 106, pp. 77 - 81, http://dx.doi.org/10.1179/174367607X156025

Henry BI; Langlands TA; Wearne SL, 2006, 'Anomalous diffusion with linear reaction dynamics: From continuous time random walks to fractional reaction-diffusion equations', Physical Review E, vol. 74, pp. 031116, http://dx.doi.org/10.1103/PhysRevE.74.031116

Rothnie P; Kabaso D; Hof PR; Henry BI; Wearne SL, 2006, 'Functionally relevant measures of spatial complexity in neuronal dendritic arbors', Journal of Theoretical Biology, vol. 238, pp. 505 - 526, http://dx.doi.org/10.1016/j.jtbi.2005.06.001

Henry BI; Langlands TA; Wearne SL, 2005, 'Turing pattern formation in fractional activator-inhibitor systems', Physical Review E, vol. 72, pp. 026101, http://dx.doi.org/10.1103/PhysRevE.72.026101

Batchelor MT; Burne RV; Henry BI; Slatyer T, 2005, 'Statistical physics and stromatolite growth: new perspectives on an ancient dilemma', Physica A - Statistical Mechanics and Its Applications, vol. 350, pp. 6 - 11, http://dx.doi.org/10.1016/j.physa.2005.01.014

Langlands TA; Henry BI, 2005, 'The accuracy and stability of an implicit solution method for the fractional diffusion equation', Journal of Computational Physics, vol. 205, pp. 719 - 736, http://dx.doi.org/10.1016/j.jcp.2004.11.025

Boon M; Suttle CM; Henry BI, 2005, 'Estimating chromatic contrast thresholds from the transient visual evolved potential', Vision Research, vol. 45, pp. 2367 - 2383, http://dx.doi.org/10.1016/j.visres.2005.02.017

Batchelor MT; Burne RV; Henry BI; Jackson MJ, 2004, 'A case for biotic morphogenesis of coniform stromatolites', Physica A - Statistical Mechanics and Its Applications, vol. 337, pp. 319 - 326, http://dx.doi.org/10.1016/j.physa.2004.01.065

Henry BI, 2003, 'The illustrated wavelet transform handbook: Introductory theory and applications in science, engineering, medicine and finance', Physicist, vol. 40, pp. 27

Matwin S; Sammut C, 2003, 'Preface', Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2583, pp. V - VI

Batchelor MT; Burne RV; Henry BI; Watt SD, 2003, 'Mathematical and image analysis of Stromatolite morphogensis', Mathematical Geology, vol. 35, pp. 789 - 803, http://dx.doi.org/10.1023/B:MATG.0000007779.17079.fd

Henry BI; Batchelor MT, 2003, 'Random walks on finite lattice tubes', Physical Review E, vol. 68, pp. 8pages, http://dx.doi.org/10.1103/PhysRevE.68.016112

Kim K; Shim BO; Kong YS; Henry BI; Yum MK, 2002, 'Multifractal Measures in Iterative Maps', Fractals: Complex Geometry, Patterns, and Scaling in Nature and Society, vol. 10, http://dx.doi.org/10.1142/S0218348X02001014

Henry BI, 2002, 'Mathematical modelling and the tim-tam competition', Parabola, vol. 38, pp. 10 - 14

Kim K; Kim GH; Lee JR; Henry BI; Yum MK; Odagaki T; Choi JS; Kong YS, 2002, 'Multifractal measures in fractional iterative maps', Fractals - Complex Geometry Patterns and Scaling in Nature and Society, vol. 10, pp. 229 - 233, http://dx.doi.org/10.1142/S0218348X02001014

Kim K; Kong YS; Henry BI; Odagaki T, 2002, 'Chaotic features in fractional iterative maps', Physica A - Statistical Mechanics and Its Applications, vol. 315, pp. 40 - 44, http://dx.doi.org/10.1016/S0378-4371(02)01241-4

Henry BI; Yum MK; Kong YS; Choi JS; Kim K, 2002, 'Deterministic diffusion generated by a chaotic map with intrinsic bias', Chaos Solitons and Fractals, vol. 14, pp. 681 - 687, http://dx.doi.org/10.1016/S0960-0779(02)00012-7

Kim K; Kong YS; Odagaki T; Henry BI, 2002, 'Chaotic features in iterative maps', Journal of the Korean Physical Society, vol. 40, pp. 1023 - 1026

Batchelor MT; Henry BI, 2002, 'Gene Stanley, the n-vector model and random walks with absorbing boundaries', Physica A - Statistical Mechanics and Its Applications, vol. 314, pp. 77 - 82, http://dx.doi.org/10.1016/S0378-4371(02)01172-X

Batchelor MT; Henry BI, 2002, 'Exact solution for random walks on the triangular lattice with absorbing boundaries', Journal of Physics A - Mathematical and General, vol. 35, pp. 5951 - 5959, http://dx.doi.org/10.1088/0305-4470/35/29/301

Henry BI; Wearne SL, 2002, 'Existence of turing instabilities in a two-species fractional reaction-diffusion system', SIAM Journal on Applied Mathematics, vol. 62, pp. 870 - 887, http://dx.doi.org/10.1137/S0036139900375227

Henry BI, 2001, 'Critical phenomena in natural sciences: Chaos, fractals, selforganization and disorder: Concepts and tools', Physicist, vol. 38, pp. 67 - 68

Batchelor MT; Burns RC; Henry BI; Watt SD, 2000, 'Deterministic KPZ model for stromatolite laminae', Physica A - Statistical Mechanics and Its Applications, vol. 282, pp. 123 - 136, http://dx.doi.org/10.1016/S0378-4371(00)00077-7

Henry BI; Wearne SL, 2000, 'Fractional reaction-diffusion', Physica A - Statistical Mechanics and Its Applications, vol. 276, pp. 448 - 455, http://dx.doi.org/10.1016/S0378-4371(99)00469-0

Henry B; Petosa A; Antar YMM; Morin GA, 1999, 'Mutual coupling between rectangular multisegment dielectric resonator antennas', Microwave and Optical Technology Letters, vol. 21, pp. 46 - 48, http://dx.doi.org/10.1002/(SICI)1098-2760(19990405)21:1<46::AID-MOP13>3.0.CO;2-L

Borredon L; Henry BI; Wearne SL, 1999, 'Differentiating the non-differentiable - fractional calculus', Parabola, pp. 9 - 19

Antar YMM; Cheng D; Seguin G; Henry B; Keller MG, 1998, 'Modified Waveguide Model (MWGM) for rectangular Dielectric Resonator Antenna (DRA)', Microwave and Optical Technology Letters, vol. 19, pp. 158 - 160, http://dx.doi.org/10.1002/(SICI)1098-2760(19981005)19:2<158::AID-MOP17>3.0.CO;2-1

Christie G; Henry BI, 1998, 'Resonance energy transfers in the induction phenomenon in quartic Fermi-Pasta-Ulam chains', Physical Review E, vol. 58, pp. 3045 - 3054, http://dx.doi.org/10.1103/PhysRevE.58.3045

Batchelor MT; Henry BI; Watt SD, 1998, 'Continuum model for radial interface growth', Physica A - Statistical Mechanics and Its Applications, vol. 260, pp. 11 - 19, http://dx.doi.org/10.1016/S0378-4371(98)00326-4

Batchelor MT; Henry BI; Watt SD, 1998, 'Surface width scaling in noise reduced Eden clusters', Physical Review E, vol. 58, pp. 4023 - 4026, http://dx.doi.org/10.1103/PhysRevE.58.4023

Batchelor MT; Henry BI; Watt SD, 1998, 'Mean-field analysis of Williams-Bjerknes-type growth', Physica A - Statistical Mechanics and Its Applications, vol. 256, pp. 295 - 311, http://dx.doi.org/10.1016/S0378-4371(98)00228-3

Henry BI; Grindlay J, 1997, 'From dynamics to statistical mechanics in the Hénon-Heiles model: Statistical mechanics', Canadian Journal of Physics, vol. 75, pp. 517 - 537, http://dx.doi.org/10.1139/p97-013

Henry BI, 1997, 'Review of `Nonlinear Dynamics: A two way trip from physics to math`', Physicist, pp. 34 - 35

Henry BI, 1997, 'Review of `The MATHEMATICA book, 3rd Ed`', Physicist, pp. 104 - 105

Henry BI; Grindlay J, 1997, 'From dynamics to statistical mechanics in the Henon-Heiles', Canadian Journal of Physics, pp. 517 - 537

Henry BI; Grindlay J, 1997, 'Statistical surface distributions for constant-energy ensembles', Canadian Journal of Physics, vol. 75, pp. 539 - 547, http://dx.doi.org/10.1139/p97-012

Batchelor MT; Henry BI; Watt SD, 1997, 'Who cares what`s new?', Nature, vol. 387, pp. 337 - 337, http://dx.doi.org/10.1038/387337b0

Batchelor MT; Henry BI, 1996, 'Growth and form of zero-noise diffusion-limited-aggregation on the cubic lattice', Physica A: Statistical Mechanics and its Applications, vol. 233, pp. 905 - 918, http://dx.doi.org/10.1016/S0378-4371(96)00184-7

Batchelor MT; Henry BI, 1996, 'Pattern formation in an etched radial Hele Shaw cell', Fractals, vol. 4, pp. 149 - 159, http://dx.doi.org/10.1142/S0218348X96000200

Batchelor MT; Henry BI; Roberts AJ, 1995, 'Comparative study of large-scale Laplacian growth patterns', Physical Review E, vol. 51, pp. 807 - 810, http://dx.doi.org/10.1103/PhysRevE.51.807

Henry BI; Szeredi T, 1995, 'New equipartition theorems for normal mode energies of anharmonic chains', Journal of Statistical Physics, vol. 78, pp. 1039 - 1053, http://dx.doi.org/10.1007/BF02183700

Batchelor MT; Henry BI, 1994, 'Diffusion-limited aggregation with Eden growth surface kinetics', Physica A: Statistical Mechanics and its Applications, vol. 203, pp. 566 - 582, http://dx.doi.org/10.1016/0378-4371(94)90015-9

Henry BI; Grindlay J, 1994, 'From dynamics to statistical mechanics in the Hénon-Heiles model: Dynamics', Physical Review E, vol. 49, pp. 2549 - 2558, http://dx.doi.org/10.1103/PhysRevE.49.2549

BATCHELOR M; HENRY B, 1993, 'AT 6S AND 7S WITH THE ULTIMATE QUESTION', NEW SCIENTIST, vol. 138, pp. 48 - 49, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1993KW25500031&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Batchelor MT; Dun CR; Henry BI, 1993, 'Growth and form in the zero-noise limit of discrete Laplacian growth processes with inherent surface tension. II. The triangular lattice', Physica A: Statistical Mechanics and its Applications, vol. 193, pp. 553 - 574, http://dx.doi.org/10.1016/0378-4371(93)90491-L

Batchelor MT; Henry BI, 1993, 'Tip lengths and whiskering in noise-reduced diffusion-limited aggregation', Journal of Physics A: General Physics, vol. 26, pp. 3431 - 3440, http://dx.doi.org/10.1088/0305-4470/26/14/010

Batchelor MT; Henry BI, 1992, 'Fractal dimensions of zero-noise diffusion-limited aggregation', Physica A: Statistical Mechanics and its Applications, vol. 191, pp. 113 - 116, http://dx.doi.org/10.1016/0378-4371(92)90513-P

Batchelor MT; Henry BI, 1992, 'Growth and form in the zero-noise limit of discrete Laplacian growth processes with inherent surface tension. I. The square lattice', Physica A: Statistical Mechanics and its Applications, vol. 187, pp. 551 - 574, http://dx.doi.org/10.1016/0378-4371(92)90010-N

Batchelor MT; Henry BI, 1992, 'Branching in the zero-noise limit of discrete Laplacian growth processes', Physical Review A, vol. 45, pp. 4180 - 4183, http://dx.doi.org/10.1103/PhysRevA.45.4180

Sholl DS; Henry BI, 1991, 'Perturbative calculation of superperiod recurrence times in nonlinear chains', Physics Letters A, vol. 159, pp. 21 - 27, http://dx.doi.org/10.1016/0375-9601(91)90156-3

Batchelor MT; Henry BI, 1991, 'Limits to Eden growth in two and three dimensions', Physics Letters A, vol. 157, pp. 229 - 236, http://dx.doi.org/10.1016/0375-9601(91)90057-F

Batchelor MT; Henry BI, 1991, 'Exact solutions for restricted walks with applications to polymers', Physics Letters A, vol. 153, pp. 35 - 39, http://dx.doi.org/10.1016/0375-9601(91)90357-E

Sholl DS; Henry BI, 1991, 'Recurrence times in cubic and quartic Fermi-Pasta-Ulam chains: A shifted-frequency perturbation treatment', Physical Review A, vol. 44, pp. 6364 - 6374, http://dx.doi.org/10.1103/PhysRevA.44.6364

Ross S; Grindlay J; Henry BI, 1991, 'Chaos in a chain of six particles with fixed ends (a 4+2 chain)', Physical Review A, vol. 44, pp. 4876 - 4884, http://dx.doi.org/10.1103/PhysRevA.44.4876

HENRY BI, 1991, 'INTEGRABILITY OF LOW PARTICLE-NUMBER MODELS FOR SOLIDS', AUSTRALIAN JOURNAL OF PHYSICS, vol. 44, pp. 1 - 13, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1991EZ33900001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Henry BI; Grindlay J, 1989, 'Numerical ensemble study of ergodic properties of the quartic Fermi-Pasta-Ulam chain. II. Distribution and correlation functions', Physical Review A, vol. 40, pp. 392 - 403, http://dx.doi.org/10.1103/PhysRevA.40.392

Henry BI; Grindlay J, 1988, 'Numerical ensemble study of ergodic properties of the quartic Fermi-Pasta-Ulam chain', Physical Review A, vol. 38, pp. 2594 - 2604, http://dx.doi.org/10.1103/PhysRevA.38.2594

Henry BI; Grindlay J, 1987, 'Reversible approach to statistical equilibrium in a nonlinear chain: An ensemble study', Physica D: Nonlinear Phenomena, vol. 28, pp. 49 - 79, http://dx.doi.org/10.1016/0167-2789(87)90121-7

Henry BI; Grindlay J, 1986, 'Numerical ensemble study of the approach to equilibrium of an anharmonic chain', Physics Letters A, vol. 119, pp. 215 - 220, http://dx.doi.org/10.1016/0375-9601(86)90451-2

Henry BI; Oitmaa J, 1985, 'Dynamics and statistical mechanics of a diatomic φ⁴ chain', Solid State Communications, vol. 55, pp. 587 - 592, http://dx.doi.org/10.1016/0038-1098(85)90817-8

Henry BI; Oitmaa J, 1985, 'DYNAMICS OF A NONLINEAR DIATOMIC CHAIN. III. A MOLECULAR DYNAMICS STUDY.', Australian Journal of Physics, vol. 38, pp. 191 - 208, http://dx.doi.org/10.1071/PH850191

Henry BI; Oitmaa J, 1985, 'DYNAMICS OF A NONLINEAR DIATOMIC CHAIN. II. THERMODYNAMIC PROPERTIES.', Australian Journal of Physics, vol. 38, pp. 171 - 189, http://dx.doi.org/10.1071/PH850171

Henry BI; Oitmaa J, 1984, 'Classical free-energy densities for harmonic chains: A pedagogic application of the transfer integral technique', American Journal of Physics, vol. 52, pp. 1016 - 1020, http://dx.doi.org/10.1119/1.13780

Henry BI; Hora H, 1983, 'Polarization shift of spectral lines in high density plasmas', Optics Communications, vol. 44, pp. 185 - 187, http://dx.doi.org/10.1016/0030-4018(83)90197-9

HENRY BI; OITMAA J, 1983, 'DYNAMICS OF A NON-LINEAR DIATOMIC CHAIN', AUSTRALIAN JOURNAL OF PHYSICS, vol. 36, pp. 339 - 356, http://dx.doi.org/10.1071/PH830339a

Henry BI, 1983, 'Spectral line limiting and polarization shift in plasmas of high particle and energy density', Laser and Particle Beams, vol. 1, pp. 11 - 28, http://dx.doi.org/10.1017/S0263034600000197

Henry BI; Oitmaa J, 1983, 'DYNAMICS OF A NONLINEAR DIATOMIC CHAIN.', Australian Journal of Physics, vol. 36, pp. 339 - 356, http://dx.doi.org/10.1071/PH830339a

HENRY BI, 1983, 'CORRECTION', SOLID STATE COMMUNICATIONS, vol. 46, pp. R1 - R2, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1983QN23500023&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Henry BI; Oitmaa J; Revzen M, 1982, 'Nonlinear excitations in a diatomic chain', Solid State Communications, vol. 44, pp. 511 - 514, http://dx.doi.org/10.1016/0038-1098(82)90135-1

Conference Papers

Rail DL; Henry BI; Watt SD, 2000, 'Self-organized criticality models of neural development', in Novak MM (ed.), 6th International conference on Fractals, WORLD SCIENTIFIC PUBL CO PTE LTD, Singapore, pp. 77 - 85, presented at 6th International conference on Fractals, Singapore, 16 April 2000 - 19 April 2000, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000168276100007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a

Batchelor MT; Henry BI; Watt SD, 1999, 'Form and scaling of radial growth', in Tokuyama M; Stanley HE (ed.), 3rd Tohwa University Intern. Conf, AIP Conference Proceedings, AMER INST PHYSICS, Fukuoka, Japan, pp. 521 - 530, presented at 3rd Tohwa University Intern. Conf, AIP Conference Proceedings, Fukuoka, Japan, 08 November 1999 - 12 November 1999, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000088786100099&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a

Henry BI; Watt SD; Wearne SL, 1999, 'A lattice refinement scheme for finding periodic orbits', in Australian and New Zealand Industrial and Applied Mathematics Journal, Australian Mathematical Society, Australia, presented at intern. Conference on comput. techniques and applications 1999, ANU, Australia

Lovell N; Henry B; Avolio A; Celler B; Carlson D; Brunner M, 1997, 'Nonlinear chaotic dynamics of mean arterial pressure after carotid baroreceptor isolation', in Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings, pp. 2015 - 2018

Lovell NH; Henry BI; Avolio AP; Celler BG; Carlson DE; Brunner MJ, 1997, 'Nonlinear chaotic dynamics of mean arterial pressure after carotid baroreceptor isolation', in Jaeger R; Argawal G; Feinberg B (eds.), 19th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 19th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Chicago Illinois USA, pp. 220 - 222, presented at 19th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Chicago Illinois USA, 30 October 1997 - 02 November 1997

Vandenbosch R; Henry B; Cooper CH; Liang JF; Will DI, 1997, 'Fragment-fragment correlations in near-binary fragmentation of C-60', in Abe Y; Arai I; Lee SM; Yabana K (eds.), SIMILARITIES AND DIFFERENCES BETWEEN ATOMIC NUCLEI AND CLUSTERS, AMER INST PHYSICS, UNIV TSUKUBA, TSUKUBA, JAPAN, pp. 185 - 191, presented at Symposium on Similarities and Differences Between Atomic Nuclei and Clusters - Toward a Unified Development of Cluster Science, UNIV TSUKUBA, TSUKUBA, JAPAN, 01 July 1997 - 04 July 1997, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000072373100019&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Lovell NH; Henry BI; Celler BG; Brunner MJ, 1996, 'Chaotic behaviour of blood pressure and heart rate in the conscious dog', in IEEE 1996: Engineering in Medicine and Biology Society, Amsterdam, Netherlands, pp. 1612 - 1613, presented at IEEE 1996: Engineering in Medicine and Biology Society, Amsterdam, Netherlands

LEVINE E; HENRY B, 1991, 'THERMAL AND ELECTROMIGRATION VOIDING IN SANDWICH METALLURGIES', in LI CY; TOTTA P; HO P (eds.), STRESS-INDUCED PHENOMENA IN METALLIZATION, AIP PRESS, ITHACA, NY, pp. 152 - 157, presented at 1ST INTERNATIONAL WORKSHOP ON STRESS-INDUCED PHENOMENA IN METALLIZATION, ITHACA, NY, 11 September 1991 - 13 September 1991, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1992BW43Z00010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Conference Proceedings (Editor of)

Standish RK; Henry BI; Watt SD; Marks RE; Stocker R; Green D; Keen SE; Bossomaier T, (eds.), 1998, 'Complex systems 98: Complexity between the ecos', Sydney, presented at Complex systems 98: Complexity between the ecos, Sydney

Other

Henry B; Britz T; Schumacher E; Marschalek R; Zacarelli Denke R; Bojanic Helbingen C; Zayas Claure CD; Humenberger H; Fallas-Monge JJ; Durán Silva R; Jupri A; Kageyama K; Ishibashi I; Ávila Pozos O; Rivera I; Voss P; Panduro Urrelo HE; Karas S; Ruminska M; Sulitsa | O; Romanchuck V; Tolmachev Y, 2018, MATHBRIDGES Calendar, University of Münster, https://www.uni-muenster.de/imperia/md/content/afo/news/afo-kalender_mathebruecken_web.pdf

Find a Person

Quick Links

	Scholarships
	Contact Us