Select Publications

Journal articles

Angstmann CN; Erickson AM; Henry BI; McGann AV; Murray JM; Nichols JA, 2021, 'A general framework for fractional order compartment models', SIAM Review, vol. 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, vol. 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, vol. 102, pp. 032111, http://dx.doi.org/10.1103/PhysRevE.102.032111

Angstmann CN; Henry BI, 2020, 'Time fractional Fisher-KPP and Fitzhugh-Nagumo equations', Entropy, vol. 22, pp. 1035 - 1035, http://dx.doi.org/10.3390/e22091035

Angstmann CN; Henry BI, 2020, 'Generalized fractional power series solutions for fractional differential equations', Applied Mathematics Letters, vol. 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, 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; 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; 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; 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

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

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; 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

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

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

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

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

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

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

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

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

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

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

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


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