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Associate Professor Christopher Angstmann

Associate Professor Christopher Angstmann

Associate Professor
  • PhD in Physics, UNSW, 2009
  • Master of Actuarial Studies, UNSW, 2009
  • Bachelor of Science (Honours Class 1) in Physics, UNSW, 2002
Science
School of Mathematics & Statistics

I am an applied mathematician in the School of Mathematics and Statistics at UNSW. Much of my research could broadly be placed in the categories of complex dynamical systems and stochastic modelling. I have been involved in both the development of applied mathematics as well as the application of mathematics to real world phenomena. One aspect of my work has focused on using stochastic processes to incorporate fractional derivative in to partial differential equation, and ordinary differential equation, based models. This has lead to my development of models for anomalous diffusion as well as fractional order compartment models. I have applied this work in a number of different areas in both physics and biology. Related to this I have an interest in fractional calculus, finance, and pattern formation.

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Phone
+61 2 9385 1354
E-mail
c.angstmann@unsw.edu.au
Location
School of Mathematics and Statistics University of New South Wales SYDNEY NSW 2052 AUSTRALIA Lawrence Center Room 4103
  • Book Chapters | 2020
    Johnston ST; Angstmann C; Arjunan SNV; Beentjes C; Coulier A; Isaacson S; Khan A; Lipkow K; Andrews S, 2020, 'Accurate Particle-Based Reaction Algorithms for Fixed Timestep Simulators', in Wood D; de Gier J; Praeger C; Tao T (ed.), 2018 MATRIX Annals, Springer, Cham, pp. 149 - 164,
  • Journal articles | 2024
    Angstmann CN; Burney SJM; Han DS; Henry BI; Xu Z, 2024, 'Exact solutions of time-delay integer- and fractional-order advection equations', Results in Applied Mathematics, 24,
    Journal articles | 2024
    Korosec CS; Unksov IN; Surendiran P; Lyttleton R; Curmi PMG; Angstmann CN; Eichhorn R; Linke H; Forde NR, 2024, 'Motility of an autonomous protein-based artificial motor that operates via a burnt-bridge principle', Nature Communications, 15, pp. 1511,
    Journal articles | 2024
    Xu Z; Angstmann CN; Han D; Henry BI; Burney SJM; Jacobs BA, 2024, 'AN EXACT STOCHASTIC SIMULATION METHOD FOR FRACTIONAL ORDER COMPARTMENT MODELS', SIAM Journal on Applied Mathematics, 84, pp. 2132 - 2151,
    Journal articles | 2024
    Xu Z; Angstmann CN; Wu Y; Stefen H; Parić E; Fath T; Curmi PMG, 2024, 'Location of the axon initial segment assembly can be predicted from neuronal shape', iScience, 27,
    Journal articles | 2023
    Angstmann CN; Burney SJM; Henry BI; Jacobs BA; Xu Z, 2023, 'A Systematic Approach to Delay Functions', Mathematics, 11, pp. 4526,
    Journal articles | 2022
    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, pp. 436,
    Journal articles | 2021
    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,
    Journal articles | 2020
    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, pp. 032111,
    Journal articles | 2020
    Angstmann CN; Henry BI, 2020, 'Generalized fractional power series solutions for fractional differential equations', Applied Mathematics Letters, 102, pp. 106107 - 106107,
    Journal articles | 2020
    Angstmann CN; Henry BI, 2020, 'Time fractional Fisher-KPP and Fitzhugh-Nagumo equations', Entropy, 22, pp. 1035,
    Journal articles | 2020
    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,
    Journal articles | 2019
    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,
    Journal articles | 2019
    Angstmann CN; Henry BI; Jacobs BA; McGann AV, 2019, 'Numeric Solution of Advection-Diffusion Equations by a Discrete Time Random Walk Scheme', ArXiv,
    Journal articles | 2019
    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, pp. 121002,
    Journal articles | 2019
    Walsh JC; Angstmann CN; Bisson-Filho AW; Garner EC; Duggin IG; Curmi PMG, 2019, 'Division plane placement in pleomorphic archaea is dynamically coupled to cell shape', Molecular Microbiology, 112, pp. 785 - 799,
    Journal articles | 2018
    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,
    Journal articles | 2018
    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,
    Journal articles | 2017
    Angstmann C; Henry BI; McGann A, 2017, 'A Fractional-Order Infectivity and Recovery SIR Model', Fractal and Fractional, 1, pp. 11 - 11,
    Journal articles | 2017
    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,
    Journal articles | 2017
    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,
    Journal articles | 2017
    Angstmann CN; Henry BI; Jacobs BA; McGann AV, 2017, 'Integrablization of time fractional PDEs', Computers and Mathematics with Applications, 73, pp. 1053 - 1062,
    Journal articles | 2017
    Angstmann CN; Henry BI; McGann AV, 2017, 'Generalized fractional diffusion equations for subdiffusion in arbitrarily growing domains', Physical Review E, 96, pp. 042153 - 042153,
    Journal articles | 2017
    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,
    Journal articles | 2017
    Walsh JC; Angstmann CN; Duggin IG; Curmi PMG, 2017, 'Non-linear Min protein interactions generate harmonics that signal mid-cell division in Escherichia coli', PLoS ONE, 12,
    Journal articles | 2016
    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,
    Journal articles | 2016
    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,
    Journal articles | 2016
    Angstmann CN; Henry BI; McGann AV; Jacobs B, 2016, 'Discretization of Fractional Differential Equations by a Piecewise Constant Approximation', ArXiv, 12, pp. 23 - 36,
    Journal articles | 2016
    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,
    Journal articles | 2016
    Angstmann CN; Henry BI; McGann AV, 2016, 'A fractional-order infectivity SIR model', Physica A: Statistical Mechanics and its Applications, 452, pp. 86 - 93,
    Journal articles | 2016
    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,
    Journal articles | 2016
    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,
    Journal articles | 2015
    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,
    Journal articles | 2015
    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,
    Journal articles | 2015
    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,
    Journal articles | 2015
    Gebert F; Wan Y; Wolf F; Angstmann CN; Berengut JC; Schmidt PO, 2015, 'Precision Isotope Shift Measurements in Calcium Ions Using Quantum Logic Detection Schemes', Physical Review Letters, 115, pp. 053003,
    Journal articles | 2015
    Tsai VWW; Macia L; Feinle-Bisset C; Manandhar R; Astrup A; Raben A; Lorenzen JK; Schmidt PT; Wiklund F; Pedersen NL; Campbell L; Kriketos A; Xu A; Pengcheng Z; Jia W; Curmi PMG; Angstmann CN; Lee-Ng KKM; Zhang HP; Marquis CP; Husaini Y; Beglinger C; Lin S; Herzog H; Brown DA; Sainsbury A; Breit SN; Lee-Ng M, 2015, 'Serum levels of human MIC-1/GDF15 vary in a diurnal pattern, do not display a profile suggestive of a satiety factor and are related to BMI', PLoS ONE, 10, pp. e0133362,
    Journal articles | 2015
    Walsh JC; Angstmann CN; Duggin IG; Curmi PMG, 2015, 'Molecular Interactions of the Min Protein System Reproduce Spatiotemporal Patterning in Growing and Dividing Escherichia coli Cells', PLoS ONE, 10, pp. e0128148,
    Journal articles | 2015
    Zuckermann MJ; Angstmann CN; Schmitt R; Blab GA; Bromley EHC; Forde NR; Linke H; Curmi PMG, 2015, 'Motor properties from persistence: A linear molecular walker lacking spatial and temporal asymmetry', New Journal of Physics, 17, pp. 055017,
    Journal articles | 2013
    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,
    Journal articles | 2013
    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,
    Journal articles | 2013
    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),
    Journal articles | 2013
    Stancevic O; Angstmann CN; Murray JM; Henry B, 2013, 'Turing patterns from dynamics of early HIV infection', Bulletin of Mathematical Biology, 75, pp. 774 - 795,
    Journal articles | 2012
    Angstmann CN; Morriss GP, 2012, 'An approximate formula for the diffusion coefficient for the periodic Lorentz gas', Physics Letters, Section A, 376, pp. 1819 - 1822,
    Journal articles | 2011
    Angstmann CN; Henry BI, 2011, 'Continuous-time random walks that alter environmental transport properties', Physical Review E, 84, pp. 061146 (8pp),
    Journal articles | 2011
    Goodchild SC; Angstmann CN; Breit SN; Curmi PM; Brown LJ, 2011, 'Transmembrane extension and oligomerization of the CLIC1 chloride intracellular channel protein upon membrane interaction', Biochemistry, 50, pp. 10887 - 10897,
    Journal articles | 2008
    Morriss GP; Chung YW; Angstmann CN, 2008, 'Thermal contact', Entropy, 10, pp. 786 - 798
  • Preprints | 2024
    Angstmann CN; Burney S-JM; Han DS; Henry BI; Huang BZ; Xu Z, 2024, Finite Time Blowup of Integer- and Fractional-Order Time-Delayed Diffusion Equations,
    Preprints | 2024
    Angstmann CN; Burney S-JM; Han DS; Henry BI; Xu Z, 2024, Exact Solutions of Time-Delay Integer- and Fractional-Order Advection Equations,
    Preprints | 2024
    Angstmann CN; Burney S-JM; McGann AV; Xu Z, 2024, Delay Infectivity and Delay Recovery SIR model,
    Preprints | 2024
    Angstmann CN; Han DS; Henry BI; Huang BZ; Xu Z, 2024, A physical random walk for space-fractional diffusion on finite domains,
    Preprints | 2024
    Angstmann CN; McGann AV; Xu Z, 2024, Delay compartment models from a stochastic process,
    Preprints | 2021
    Korosec CS; Unksov I; Surendiran P; Lyttleton R; Curmi PMG; Angstmann CN; Eichhorn R; Linke H; Forde NR, 2021, The Lawnmower: an autonomous, protein-based artificial molecular motor,
    Preprints | 2021
    Korosec CS; Unksov I; Surendiran P; Lyttleton R; Curmi PMG; Angstmann CN; Eichhorn R; Linke H; Forde NR, 2021, The Lawnmower: an autonomous, protein-based artificial molecular motor, ,
    Conference Papers | 2021
    Zuckermann MJ; Angstmann CN; Forde NR; Curmi P; Linke H, 2021, 'The Effect of a Rearward Conservative Force and a Dragged Load on a Synthetic Nano-Motor Inspired by Kinesin', in BIOPHYSICAL JOURNAL, CELL PRESS, ELECTR NETWORK, pp. 166A - 166A, presented at 65th Annual Meeting of the Biophysical-Society (BPS), ELECTR NETWORK, 22 February 2021 - 26 February 2021,
    Preprints | 2020
    Abad E; Angstmann CN; Henry BI; McGann AV; Vot FL; Yuste SB, 2020, Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains,
    Preprints | 2017
    Angstmann CN; Henry BI; McGann AV, 2017, Generalised fractional diffusion equations for subdiffusion on arbitrarily growing domains,
    Preprints | 2016
    Angstmann CN; Henry BI; Jacobs BA; McGann AV, 2016, Numeric Solution of Advection-Diffusion Equations by a Discrete Time Random Walk Scheme,
    Preprints | 2016
    Angstmann CN; Henry BI; McGann AV, 2016, Discretization of Fractional Differential Equations by a Piecewise Constant Approximation,
    Preprints | 2015
    Angstmann CN; Henry BI; McGann AV, 2015, A Fractional-Order Infectivity SIR Model,
    Preprints | 2015
    Angstmann CN; Henry BI; McGann AV, 2015, A fractional order recovery SIR model from a stochastic process,
    Preprints | 2015
    Gebert F; Wan Y; Wolf F; Angstmann CN; Berengut JC; Schmidt PO, 2015, Precision isotope shift measurements in Ca$^+$ using highly sensitive detection schemes,
    Preprints | 2015
    Toe WJ; Piwonka IO; Angstmann C; Gao Q; Tan HH; Jagadish C; Henry B; Reece PJ, 2015, Anomalous dynamic behaviour of optically trapped high aspect ratio nanowires,
    Conference Papers | 2014
    Toe WJ; Piwonka IO; Andres-Arroyo A; Gao Q; Tan HH; Jagadish C; Henry B; Angstmann C; Reece PJ, 2014, 'Anomalous dynamic behavior of optically trapped high aspect ratio nanowires', in Dholakia K; Spalding GC (ed.), OPTICAL TRAPPING AND OPTICAL MICROMANIPULATION XI, SPIE-INT SOC OPTICAL ENGINEERING, San Diego, CA, presented at Conference on Optical Trapping and Optical Micromanipulation XI, San Diego, CA, 17 August 2014 - 21 August 2014,
    Conference Papers | 2014
    Zuckermann MJ; Bromley EHC; Angstmann CN; Blab GA; Forde NR; Linke H; Curmi PMG, 2014, 'Introducing a Kinesin-Inspired Nanomotor Concept', in BIOPHYSICAL JOURNAL, CELL PRESS, CA, San Francisco, pp. 782A - 782A, presented at 58th Annual Meeting of the Biophysical-Society, CA, San Francisco, 15 February 2014 - 19 February 2014,
    Preprints | 2012
    Angstmann C; Morriss GP, 2012, An analytic approximation to the Diffusion Coefficient for the periodic Lorentz Gas, ,
    Preprints | 2012
    Angstmann CN; Donnelly IC; Henry BI, 2012, Pattern Formation on Networks with Reactions: A Continuous Time Random Walk Approach, ,
    Preprints | 2012
    Stancevic O; Angstmann C; Murray JM; Henry BI, 2012, Turing patterns from dynamics of early HIV infection over a two-dimensional surface,

My Teaching

MATH3121 Mathematical Methods and Partial Differential EquationsÌý