Associate Professor Christopher Angstmann

ABOUT ME

Biography

I am a Senior Lecturer in the School of Mathematics and Statistics at UNSW.

Education

- PhD in Physics, UNSW, 2009
- Master of Actuarial Studies, UNSW, 2009
- Bachelor of Science (Honours Class 1) in Physics, UNSW, 2002

RESEARCH

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.

TEACHING & OUTREACH

Courses I teach

MATH6781: Biomathematics

Professional affiliations

Associate of the Institute of Actuaries of Australia

Member of the Australian Mathematical Society

Member of ANZIAM

Phone

9385 1354

E-mail

c.angstmann@unsw.edu.au

Location

School of Mathematics and Statistics University of New South Wales SYDNEY NSW 2052 AUSTRALIA The Red Centre Room 4076

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, http://dx.doi.org/10.1007/978-3-030-38230-8_11
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 - 436, http://dx.doi.org/10.3390/fractalfract6080436

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, http://dx.doi.org/10.1137/21M1398549

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, http://dx.doi.org/10.1103/PhysRevE.102.032111

Journal articles | 2020

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

Journal articles | 2020

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

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, http://dx.doi.org/10.3390/math8112023

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, http://dx.doi.org/10.1016/j.cnsns.2018.07.009

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, https://www.researchgate.net/publication/309283800_Numeric_Solution_of_Advection-Diffusion_Equations_by_a_Discrete_Time_Random_Walk_Scheme

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, http://dx.doi.org/10.1016/j.physa.2019.04.238

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, http://dx.doi.org/10.1111/mmi.14316

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, http://dx.doi.org/10.1016/j.jcp.2018.06.044

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, http://dx.doi.org/10.1063/1.5018443

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, http://dx.doi.org/10.3390/fractalfract1010011

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, http://dx.doi.org/10.1137/16M1069249

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, http://dx.doi.org/10.1016/j.chaos.2017.04.040

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, http://dx.doi.org/10.1016/j.camwa.2016.12.010

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, http://dx.doi.org/10.1103/physreve.96.042153

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, http://dx.doi.org/10.1016/j.camwa.2016.11.015

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, http://dx.doi.org/10.1371/journal.pone.0185947

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, http://dx.doi.org/10.1016/j.jcp.2015.11.053

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, http://dx.doi.org/10.1051/mmnp/20161139

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, http://dx.doi.org/10.1007/s11538-016-0151-7

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, http://dx.doi.org/10.1016/j.physa.2016.02.029

Journal articles | 2016

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

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, http://dx.doi.org/10.1103/PhysRevE.93.022137

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, http://dx.doi.org/10.3934/biophy.2016.1.119

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, http://dx.doi.org/10.1137/15M1011299

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, http://dx.doi.org/10.1016/j.jcp.2014.08.003

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, http://dx.doi.org/10.1016/j.bpj.2015.05.034

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, http://dx.doi.org/10.1103/PhysRevLett.115.053003

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, 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, http://dx.doi.org/10.1371/journal.pone.0133362

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, http://dx.doi.org/10.1371/journal.pone.0128148

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, http://dx.doi.org/10.1088/1367-2630/17/5/055017

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, http://dx.doi.org/10.1103/PhysRevE.88.022811

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, http://dx.doi.org/10.1051/mmnp/20138202

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), http://dx.doi.org/10.1103/PhysRevE.87.032804

Journal articles | 2013

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

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, http://dx.doi.org/10.1016/j.physleta.2012.04.045

Journal articles | 2011

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

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, http://dx.doi.org/10.1021/bi2012564

Journal articles | 2008

Morriss GP; Chung YW; Angstmann CN, 2008, 'Thermal contact', Entropy, 10, pp. 786 - 798, http://dx.doi.org/10.3390/e10040786
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, , http://arxiv.org/abs/2109.10293v4

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, , http://dx.doi.org/10.48550/arxiv.2109.10293

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, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000629601401056&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

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, , http://dx.doi.org/10.48550/arxiv.2002.06011

Preprints | 2017

Angstmann CN; Henry BI; McGann AV, 2017, Generalised fractional diffusion equations for subdiffusion on arbitrarily growing domains, , http://dx.doi.org/10.48550/arxiv.1706.07168

Preprints | 2016

Angstmann CN; Henry BI; Jacobs BA; McGann AV, 2016, Numeric Solution of Advection-Diffusion Equations by a Discrete Time Random Walk Scheme, , http://dx.doi.org/10.48550/arxiv.1610.05417

Preprints | 2016

Angstmann CN; Henry BI; McGann AV, 2016, Discretization of Fractional Differential Equations by a Piecewise Constant Approximation, , http://dx.doi.org/10.48550/arxiv.1605.01815

Preprints | 2015

Angstmann CN; Henry BI; McGann AV, 2015, A Fractional-Order Infectivity SIR Model, , http://dx.doi.org/10.48550/arxiv.1511.02545

Preprints | 2015

Angstmann CN; Henry BI; McGann AV, 2015, A fractional order recovery SIR model from a stochastic process, , http://dx.doi.org/10.48550/arxiv.1505.02492

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, , http://dx.doi.org/10.48550/arxiv.1504.03139

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, , http://dx.doi.org/10.48550/arxiv.1508.03072

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, http://dx.doi.org/10.1117/12.2062673

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, http://dx.doi.org/10.1016/j.bpj.2013.11.4287

Preprints | 2012

Angstmann C; Morriss GP, 2012, An analytic approximation to the Diffusion Coefficient for the periodic Lorentz Gas, , http://dx.doi.org/10.48550/arxiv.1202.2904

Preprints | 2012

Angstmann CN; Donnelly IC; Henry BI, 2012, Pattern Formation on Networks with Reactions: A Continuous Time Random Walk Approach, , http://dx.doi.org/10.48550/arxiv.1211.6494

Preprints | 2012

Stancevic O; Angstmann C; Murray JM; Henry BI, 2012, Turing patterns from dynamics of early HIV infection over a two-dimensional surface, , http://dx.doi.org/10.48550/arxiv.1209.2772

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