By Associate Professor Christopher Angstmann

Book Chapters

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

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, http://dx.doi.org/10.1038/s41467-024-45570-y

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, http://dx.doi.org/10.1016/j.isci.2024.109264

Angstmann CN; Burney SJM; Henry BI; Jacobs BA; Xu Z, 2023, 'A Systematic Approach to Delay Functions', Mathematics, 11, pp. 4526, 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, pp. 436, 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, 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, 22, pp. 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, 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

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

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, 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

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

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

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

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; Jacobs B, 2016, 'Discretization of Fractional Differential Equations by a Piecewise Constant Approximation', ArXiv, 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, 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

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

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

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

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

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

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

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; Henry B, 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; 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

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

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

Morriss GP; Chung YW; Angstmann CN, 2008, 'Thermal contact', Entropy, 10, pp. 786 - 798

Conference Papers

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

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

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

Angstmann CN; Burney S-JM; McGann AV; Xu Z, 2024, Delay Infectivity and Delay Recovery SIR model, http://arxiv.org/abs/2406.18107v2

Angstmann CN; McGann AV; Xu Z, 2024, Delay compartment models from a stochastic process, http://arxiv.org/abs/2406.17242v1

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