Select Publications

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, 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

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

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, Insititue of Electrical and Electronics Engineers, Inc.

Journal articles

Angstmann CN; Burney SJM; Henry BI; Jacobs BA; Xu Z, 2023, 'A Systematic Approach to Delay Functions', Mathematics, 11, http://dx.doi.org/10.3390/math11214526

Angstmann CN; Burney SJM; Henry BI; Jacobs BA, 2022, 'Solutions of Initial Value Problems with Non-Singular, Caputo Type and Riemann-Liouville Type, Integro-Differential Operators', Fractal and Fractional, 6, http://dx.doi.org/10.3390/fractalfract6080436

Angstmann CN; Erickson AM; Henry BI; McGann AV; Murray JM; Nichols JA, 2021, 'A general framework for fractional order compartment models', SIAM Review, 63, pp. 375 - 392, http://dx.doi.org/10.1137/21M1398549

Angstmann CN; Jacobs BA; Henry BI; Xu Z, 2020, 'Intrinsic discontinuities in solutions of evolution equations involving fractional caputo–fabrizio and atangana–baleanu operators', Mathematics, 8, pp. 1 - 16, http://dx.doi.org/10.3390/math8112023

Abad E; Angstmann CN; Henry BI; McGann AV; Le Vot F; Yuste SB, 2020, 'Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains', Physical Review E, 102, http://dx.doi.org/10.1103/PhysRevE.102.032111

Angstmann CN; Henry BI, 2020, 'Time fractional Fisher-KPP and Fitzhugh-Nagumo equations', Entropy, 22, http://dx.doi.org/10.3390/e22091035

Angstmann CN; Henry BI, 2020, 'Generalized fractional power series solutions for fractional differential equations', Applied Mathematics Letters, 102, pp. 106107 - 106107, http://dx.doi.org/10.1016/j.aml.2019.106107

Angstmann CN; Henry BI; Jacobs BA; McGann AV, 2019, 'Numeric Solution of Advection-Diffusion Equations by a Discrete Time Random Walk Scheme', ArXiv, https://www.researchgate.net/publication/309283800_Numeric_Solution_of_Advection-Diffusion_Equations_by_a_Discrete_Time_Random_Walk_Scheme

Angstmann CN; Henry BI; McGann AV, 2019, 'Time-fractional geometric Brownian motion from continuous time random walks', Physica A: Statistical Mechanics and its Applications, 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, 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, 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, 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, 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, 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, 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, 102, pp. 175 - 183, http://dx.doi.org/10.1016/j.chaos.2017.04.040

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, 73, pp. 1315 - 1324, http://dx.doi.org/10.1016/j.camwa.2016.11.015

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

Angstmann CN; Erickson AM; Henry BI; McGann A; Murray J; Nichols J, 2017, 'Fractional order compartment models', SIAM Journal on Applied Mathematics, 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, 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, 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, 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, https://arxiv.org/pdf/1605.01815.pdf

Angstmann CN; Henry BI; McGann AV, 2016, 'A fractional order recovery SIR model from a stochastic process', Bulletin of Mathematical Biology, 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, 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, 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, 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, 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, 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, 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, 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, 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, 88, http://dx.doi.org/10.1103/PhysRevE.88.022811

Angstmann CN; Donnelly IC; Henry BI, 2013, 'Continuous time random walks with reactions forcing and trapping', Mathematical Modelling of Natural Phenomena (MMNP), 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, 87, pp. Article 032804 (13pp), http://dx.doi.org/10.1103/PhysRevE.87.032804

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

Angstmann CN; Henry BI, 2011, 'Continuous-time random walks that alter environmental transport properties', Physical Review E, 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, 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, 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, 82, http://dx.doi.org/10.1103/PhysRevA.82.013834

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

Henry BI; Langlands TA; Straka P, 2010, 'Fractional Fokker-Planck equations for subdiffusion with space-and time-dependent forces', Physical Review Letters, 105, pp. 170602-1 - 170602-4

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, 96, pp. 1 - 17, http://dx.doi.org/10.1167/9.6.22

Henry BI; Langlands TA; Wearne SL, 2009, 'Fractional cable equation models for anomalous electrodiffusion in nerve cells: infinite domain solutions', Journal of Mathematical Biology, 59, pp. 761 - 808

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, 19, pp. 2248 - 2268

Langlands TA; Henry BI; Wearne SL, 2008, 'Anomalous subdiffusion with multispecies linear reaction dynamics', Physical Review E, 77, pp. 021111-1 - 021111-9


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