A mathematical model to account for quantitative iterative effect of TNF-α positive feedback mechanism on inflammatory cascade in TLR-4 mediated TNF-α signaling pathway

Poster


Roberts, Tony, Essien, Bryan, Kotiw, Michael, Butler, Harry and Strunin, Dmitry. 2008. "A mathematical model to account for quantitative iterative effect of TNF-α positive feedback mechanism on inflammatory cascade in TLR-4 mediated TNF-α signaling pathway." Ragan, Mark (ed.) 19th International Conference on Genome Informatics (GIW 2008). Gold Coast, Australia 01 - 03 Dec 2008 London, United Kingdom.
Paper/Presentation Title

A mathematical model to account for quantitative iterative effect of TNF-α positive feedback mechanism on inflammatory cascade in TLR-4 mediated TNF-α signaling pathway

Presentation TypePoster
AuthorsRoberts, Tony (Author), Essien, Bryan (Author), Kotiw, Michael (Author), Butler, Harry (Author) and Strunin, Dmitry (Author)
EditorsRagan, Mark
Journal or Proceedings TitleProceedings of the 19th International Conference on Genome Informatics (GIW 2008)
Number of Pages2
Year2008
Place of PublicationLondon, United Kingdom
Web Address (URL) of Paperhttp://mlaa.com.au/giw2008/PDFposter/giw2008poster_submission_22.pdf
Conference/Event19th International Conference on Genome Informatics (GIW 2008)
Event Details
19th International Conference on Genome Informatics (GIW 2008)
Event Date
01 to end of 03 Dec 2008
Event Location
Gold Coast, Australia
Abstract

Sepsis is a complex systemic biological event that is mediated by an uncontrolled cascade of inflammatory
cytokines. Whilst endogenous mediators such as TNF-α, Interleukin 1 (IL1) and 6 (IL6) may play a beneficial role in controlling infection by localising the initial insult, uncontrolled increases of these cytokines are associated with deleterious events which may result in capillary leakage, coagulopathy and catastrophic organ failure. TNF-α is known to be a principal effecter molecule in the onset of serious inflammatory conditions and consequently an increased understanding of the biological pathways controlling the expression of this cytokine is essential for the development of appropriate therapeutic interventions. The purpose of this study was to use a system-theoretic approach to analyse the effect of TNF-α positive feedback mechanisms in response to the modulation of sTNF receptor 1 by quantitative and qualitative
modelling of putative TLR-4 mediated TNF-α signalling pathway.

KeywordsTNF-α; TNF receptors; cytokines; sepsis; mathematical modelling
ANZSRC Field of Research 2020320801. Cell physiology
490102. Biological mathematics
310702. Infectious agents
Byline AffiliationsDepartment of Mathematics and Computing
Centre for Systems Biology
Institution of OriginUniversity of Southern Queensland
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Shao, Yaping, Klose, Martina, McTainsh, Grant, Strong, Craig and Butler, Harry. 2014. "Sensitivity of aeolian modelling to soil particle size data." Dong, Zhibao (ed.) 8th International Conference on Aeolian Research (ICAR 2014). Lanzhou, China 21 - 25 Jul 2014 Lubbock, TX. United States.
Modelling dispersion in laminar and turbulent flows in an open channel based on centre manifolds using 1D-IRBFN method
Mohammed, F. J., Ngo-Cong, D., Strunin, D. V., Mai-Duy, N. and Tran-Cong, T.. 2014. "Modelling dispersion in laminar and turbulent flows in an open channel based on centre manifolds using 1D-IRBFN method." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 38 (14), pp. 3672-3691. https://doi.org/10.1016/j.apm.2013.12.007
Actinic exposure film dosimetry: indicators of occupational exposure risk for office workers and school teachers
Downs, N., Parisi, A., Igoe, D., Wainwright, L. and Butler, H.. 2013. "Actinic exposure film dosimetry: indicators of occupational exposure risk for office workers and school teachers." Byrne, Scott and Chen, Min (ed.) 6th Asia & Oceania Conference on Photobiology (AOCP 2013): Life on a Sun-Drenched Planet. Sydney, Australia 10 - 13 Nov 2013
Validity and dynamics in the nonlinearly excited 6th-order phase equation
Strunin, Dimitry and Mohammed, Mayada. 2013. "Validity and dynamics in the nonlinearly excited 6th-order phase equation." Costa, David, Feng, Wei and Feng, Zhaosheng (ed.) 9th American Institute of Mathematical Sciences International Conference on Dynamical Systems, Differential Equations and Applications (AIMS 2013). Orlando, United States 01 - 05 Jul 2012 Springfield, MO. United States.
The diversity and antimicrobial activity of Preussia sp. Endophytes isolated from Australian dry rainforests
Mapperson, Rachel R., Kotiw, Michael, Davis, Rohan A. and Dearnaley, John D. W.. 2014. "The diversity and antimicrobial activity of Preussia sp. Endophytes isolated from Australian dry rainforests." Current Microbiology: an international journal. 68 (1), pp. 30-37. https://doi.org/10.1007/s00284-013-0415-5
Soil organic carbon dust emission: an omitted global source of atmospheric CO2
Chappell, Adrian, Webb, Nicholas P., Butler, Harry J., Strong, Craig L., McTainsh, Grant H., Leys, John F. and Viscarra Rossel, Raphael A.. 2013. "Soil organic carbon dust emission: an omitted global source of atmospheric CO2." Global Change Biology. 19 (10), pp. 3238-3244. https://doi.org/10.1111/gcb.12305
El Nino-Southern oscillation influence on the dust storm activity in Australia: can the past provide an insight into the future?
Pudmenzky, Christa, Stone, Roger, Butler, Harry and Allan, Robert. 2011. "El Nino-Southern oscillation influence on the dust storm activity in Australia: can the past provide an insight into the future?" 4th Atmospheric Circulation Reconstructions over the Earth Workshop (ACRE 2011). De Bilt, The Netherlands 21 - 23 Sep 2011
Australian carbon dust emission: a carbon accounting omission?
Chappell, Adrian, Webb, Nicholas P., Butler, Harry, Strong, Craig, McTainsh, Grant and Leys, John. 2012. "Australian carbon dust emission: a carbon accounting omission?" Burkitt, Lucy and Sparrow, leigh (ed.) 5th Joint Australian and New Zealand Soil Science Conference (SSA 2012): Soil Solutions for Diverse Landscapes. Hobart, Australia 02 - 07 Dec 2012 Melbourne, Australia.
Simulations of spatial variability in particle-size emissions during wind erosion events
Butler, Harry J., McTainsh, Grant H. and Hogarth, William L.. 2012. "Simulations of spatial variability in particle-size emissions during wind erosion events." Earth Surface Processes and Landforms. 37 (13), pp. 1362-1375. https://doi.org/10.1002/esp.3245
Links between climate variability, vegetation cover and dust storm frequency in Australia
Pudmenzky, Christa and Butler, Harry. 2013. "Links between climate variability, vegetation cover and dust storm frequency in Australia." Climate Adaptation 2013 (NCCARF 2013). Sydney, Australia 25 - 27 Jun 2013 Australia.
Numerical analysis of an averaged model of turbulent transport near a roughness layer
Strunin, D. V. and Mohammed, F. J.. 2012. "Numerical analysis of an averaged model of turbulent transport near a roughness layer." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 53 (S), pp. C142-C154.
Parametric space for nonlinearly excited phase equation
Strunin, D. V. and Mohammed, M. G.. 2012. "Parametric space for nonlinearly excited phase equation." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 53 (S), pp. C236-C248.
The role of natural gases in seismics of hydrocarbon reservoirs
Nikolaevskiy, Victor and Strunin, Dmitry. 2012. "The role of natural gases in seismics of hydrocarbon reservoirs." Laverov, N. P., Beresnev, Igor and Gray, Rob (ed.) 3rd International Conference Elastic Wave Effect on Fluid in Porous Media (EWEF 2012). Moscow, Russia 24 - 28 Sep 2012 Moscow, Russia.
Immunological response to parenteral vaccination with recombinant hepatitis B virus surface antigen virus-like particles expressing Helicobacter pylori KatA epitopes in a murine H. pylori challenge model
Kotiw, Michael, Johnson, Megan, Pandey, Manisha, Fry, Scott, Hazell, Stuart L., Netter, Hans J., Good, Michael F. and Olive, Colleen. 2012. "Immunological response to parenteral vaccination with recombinant hepatitis B virus surface antigen virus-like particles expressing Helicobacter pylori KatA epitopes in a murine H. pylori challenge model ." Clinical and Vaccine Immunology. 19 (2), pp. 268-276. https://doi.org/10.1128/CVI.05295-11
A flexible, extensible online testing system for mathematics
Passmore, Tim, Brookshaw, Leigh and Butler, Harry. 2011. "A flexible, extensible online testing system for mathematics." Australasian Journal of Educational Technology. 27 (6), pp. 896-906. https://doi.org/10.14742/ajet.919
El Nino-Southern oscillation influence on the dust storm activity in Australia: can the past provide an insight into the future?
Pudmenzky, Christa, Stone, Roger and Butler, Harry. 2011. "El Nino-Southern oscillation influence on the dust storm activity in Australia: can the past provide an insight into the future?" WCRP 2011: Climate Research in Service to Society. Denver, United States 24 - 28 Oct 2011 Geneva, Switzerland.
The effect of canine hyperimmune plasma on inflammation in a rat pouch model
Essien, Bryan E.. 2009. The effect of canine hyperimmune plasma on inflammation in a rat pouch model. PhD Thesis Doctor of Philosophy. University of Southern Queensland.
Ravenic acid, a new tetramic acid isolated from a cultured microfungus, penicillium sp.
Michael, Adam P., Grace, Emily J., Kotiw, Mike and Barrow, Russell A.. 2002. "Ravenic acid, a new tetramic acid isolated from a cultured microfungus, penicillium sp." Journal of Natural Products. 65 (9), pp. 1360-1362. https://doi.org/10.1021/np0200358
Xanthones from a microfungus of the genus Xylaria
Healy, Peter C., Hocking, Ailsa, Tran-Dinh, Nai, Pitt, John I., Shivas, Roger G., Mitchell, Jennifer K., Kotiw, Mike and Davis, Rohan A.. 2004. "Xanthones from a microfungus of the genus Xylaria." Phytochemistry: the international journal of plant chemistry, plant biochemistry and molecular biology. 65 (16), pp. 2373-2378. https://doi.org/10.1016/j.phytochem.2004.07.019
Phomoxins B and C: polyketides from an endophytic fungus of the genus eupenicillium
Davis, Rohan A., Andjic, Vesna, Kotiw, Michael and Shivas, Roger G.. 2005. "Phomoxins B and C: polyketides from an endophytic fungus of the genus eupenicillium." Phytochemistry: the international journal of plant chemistry, plant biochemistry and molecular biology. 66 (23), pp. 2771-2775. https://doi.org/10.1016/j.phytochem.2005.09.004
A RAPD-PCR genotyping assay which correlates with serotypes of group B streptococci
Zhang, G. W., Kotiw, M. and Daggard, G.. 2002. "A RAPD-PCR genotyping assay which correlates with serotypes of group B streptococci." Letters in Applied Microbiology. 35 (3), pp. 247-250. https://doi.org/10.1046/j.1472-765X.2002.01177.x
Late-onset and recurrent neonatal group B streptococcal disease associated with breast milk transmission
Kotiw, Michael, Zhang, Gwang W., Daggard, Grant, Reiss-Levy, Elizabeth, Tapsall, John W. and Numa, Andrew. 2003. "Late-onset and recurrent neonatal group B streptococcal disease associated with breast milk transmission." Pediatric and Developmental Pathology. 6 (3), pp. 251-256. https://doi.org/10.1007/s10024-001-0276-y
The style files: use the most informative synonym
Roberts, Tony. 2007. "The style files: use the most informative synonym." Gazette of the Australian Mathematical Society. 34 (4), pp. 208-209.
Transition to self-similarity of diffusion of tracer in turbulent patch
Strunin, Dmitry V.. 2001. "Transition to self-similarity of diffusion of tracer in turbulent patch." Journal of Engineering Mechanics. 127 (11), pp. 1089-1095. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:11(1089)
Modelling the dynamics of turbulent floods
Mei, Z., Roberts, A. J. and Li, Zhenquan. 2002. "Modelling the dynamics of turbulent floods." SIAM Journal on Applied Mathematics. 63 (2), pp. 423-458. https://doi.org/10.1137/S0036139999358866
Reproductive pair correlations and the clustering of organisms
Young, W. R., Roberts, A. J. and Stuhne, Gordan. 2001. "Reproductive pair correlations and the clustering of organisms." Nature. 412 (6844), pp. 328-331. https://doi.org/10.1038/35085561
The style files: write what you mean
Roberts, Tony. 2007. "The style files: write what you mean." Gazette of the Australian Mathematical Society. 34 (3), pp. 156-157.
General tooth boundary conditions for equation free modeling
Roberts, A. J. and Kevrekidis, I. G.. 2007. "General tooth boundary conditions for equation free modeling." SIAM Journal on Scientific Computing. 29 (4), pp. 1495-1510. https://doi.org/10.1137/060654554
A source-based model for describing dust concentrations during wind erosion events: an initial study
Butler, H. J., Hogarth, W. L. and McTainsh, G. H.. 1996. "A source-based model for describing dust concentrations during wind erosion events: an initial study." Environmental Modelling and Software. 11 (1-3), pp. 45-52. https://doi.org/10.1016/S0266-9838(96)00036-6
Kinky profiles: effects of soil surface heating upon vertical dust concentration profiles in the Channel Country of western Queensland, Australia
Butler, H. J., McTainsh, G. H., Hogarth, W. L. and Leys, J. F.. 2005. "Kinky profiles: effects of soil surface heating upon vertical dust concentration profiles in the Channel Country of western Queensland, Australia." Journal of Geophysical Research. 110 (F4), pp. 1-14. https://doi.org/10.1029/2004JF000272
The style files: appearance affects communication; but not necessarily as you like
Roberts, Tony. 2007. "The style files: appearance affects communication; but not necessarily as you like." Gazette of the Australian Mathematical Society. 34 (2), pp. 78-80.
Similarity without diffusion: shear turbulent layer damped by buoyancy
Strunin, D. V.. 2006. "Similarity without diffusion: shear turbulent layer damped by buoyancy." Journal of Engineering Mathematics. 54 (3), pp. 211-224. https://doi.org/10.1007/s10665-005-9010-5
On characteristic times in generalized thermoelasticity
Strunin, Dmitry V.. 2001. "On characteristic times in generalized thermoelasticity." Journal of Applied Mechanics. 68 (5), pp. 816-817. https://doi.org/10.1115/1.1386696
Two-zone model of shear dispersion in a channel using centre manifolds
Roberts, A. J. and Strunin, Dmitry V.. 2004. "Two-zone model of shear dispersion in a channel using centre manifolds." The Quarterly Journal of Mechanics and Applied Mathematics. 57 (3), pp. 363-378. https://doi.org/10.1093/qjmam/57.3.363
Modelling the confinement of spilled oil with floating booms
Zhu, Song Ping and Strunin, Dmitry V.. 2001. "Modelling the confinement of spilled oil with floating booms." Applied Mathematical Modelling: simulation and computation for engineering and environmental systems. 25 (9), pp. 713-729. https://doi.org/10.1016/S0307-904X(01)00008-7
The style files: omit redundant words
Roberts, Tony. 2007. "The style files: omit redundant words." Gazette of the Australian Mathematical Society. 34 (1), pp. 20-21.
Accurately model the Kuramoto-Sivashinsky dynamics with holistic discretisation
MacKenzie, T. and Roberts, A. J.. 2006. "Accurately model the Kuramoto-Sivashinsky dynamics with holistic discretisation." SIAM Journal on Applied Dynamical Systems. 5 (3), pp. 365-402. https://doi.org/10.1137/050627733
Synthesis of the fungal natural product (-)-xylariamide A
Kotiw, Michael and Davis, Rohan A.. 2005. "Synthesis of the fungal natural product (-)-xylariamide A." Tetrahedron Letters: the international journal for the rapid publication of all preliminary communications in organic chemistry. 46 (31), pp. 5199-5201. https://doi.org/10.1016/j.tetlet.2005.05.114
A model of turbulent dispersion through roughness layer using centre manifolds
Strunin, Dmitry V.. 2011. "A model of turbulent dispersion through roughness layer using centre manifolds." Massengill, H. P. (ed.) 6th AIAA Theoretical Fluid Mechanics Conference. Honolulu, United States 27 - 30 Jun 2011 Red Hook, NY. United States.
Universality of turbulent dispersion in a steady flow in an open channel
Strunin, D. V.. 2011. "Universality of turbulent dispersion in a steady flow in an open channel." The Quarterly Journal of Mechanics and Applied Mathematics. 64 (2), pp. 197-214. https://doi.org/10.1093/qjmam/hbr002
Australian dust storms in 2002-2003 and their impact on Southern Ocean biogeochemistry
Gabric, A. J., Cropp, R. A., McTainsh, G. H., Johnstone, B. M., Butler, H., Tilbrook, B. and Keywood, M.. 2010. "Australian dust storms in 2002-2003 and their impact on Southern Ocean biogeochemistry." Global Biogeochemical Cycles: an international journal of global change. 24 (2), p. GB2005. https://doi.org/10.1029/2009GB003541
Caelestines A-D, Brominated Quinolinecarboxylic Acids from the Australian Ascidian Aplidium caelestis
Yin, Sheng, Boyle, Glen M., Carroll, Anthony R., Kotiw, Michael, Dearnaley, John, Quinn, Ronald J. and Davis, Rohan A.. 2010. "Caelestines A-D, Brominated Quinolinecarboxylic Acids from the Australian Ascidian Aplidium caelestis." Journal of Natural Products. 73 (9), pp. 1586-1589. https://doi.org/10.1021/np100329w
Detection of anti-TNFα activity in canine hyperimmune serum using a TNFα inhibition assay
Kotiw, Michael, Morgan, Michael, Taylor, Stephen M. and Shiels, Ian A.. 2010. "Detection of anti-TNFα activity in canine hyperimmune serum using a TNFα inhibition assay ." Veterinary Clinical Pathology. 39 (1), pp. 46-52. https://doi.org/10.1111/j.1939-165X.2009.00166.x
Dynamics of two charged particles in viscous fluid at small Reynolds numbers
Stepanyants, Y. A. and Strunin, D. V.. 2011. "Dynamics of two charged particles in viscous fluid at small Reynolds numbers." de Oliveira, Cassiano (ed.) 2011 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Enginnering (MC 2011). Rio de Janeiro, Brazil 08 - 12 May 2011 Rio de Janeiro.
An averaged model of dispersion of pollutant in a channel: logarithmic flow
Strunin, Dmitry V.. 2010. "An averaged model of dispersion of pollutant in a channel: logarithmic flow." Hangos, K. (ed.) 29th IASTED International Conference on Modelling, Identification and Control (MIC 2010). Innsbruck, Austria 15 - 17 Feb 2010 Calgary, Canada.
Anti-inflammatory activity of hyperimmune plasma in a lipopolysaccharide-mediated rat air pouch model of inflammation
Essien, Bryan E. and Kotiw, Michael. 2012. "Anti-inflammatory activity of hyperimmune plasma in a lipopolysaccharide-mediated rat air pouch model of inflammation." Inflammation. 35 (1), pp. 58-64. https://doi.org/10.1007/s10753-010-9289-x
El Niño-Southern Oscillation influence on the dust storm activity in Australia: can the past provide a key to the future?
Pudmenzky, C., Stone, R., Butler, H. and Allan, R.. 2011. "El Niño-Southern Oscillation influence on the dust storm activity in Australia: can the past provide a key to the future?" American Geophysical Union, Fall Meeting 2011. San Francisco, California, United States 05 - 09 Dec 2011 United States.
CEMSYS modelled wind erosion
Leys, John F., Butler, Harry J., Yang, Xihua and Heidenreich, Stephen. 2010. CEMSYS modelled wind erosion. Sydney South, Australia. NSW Department of Environment, Climate Change and Water.
Low-dimensional modelling of a generalised Burgers equation
Li, Zhenquan and Roberts, A. J.. 2007. "Low-dimensional modelling of a generalised Burgers equation." Global Journal of Pure and Applied Mathematics. 3 (3), pp. 203-218.
A flexible error estimate for the application of centre manifold theory
Li, Zhenquan and Roberts, A. J.. 2007. "A flexible error estimate for the application of centre manifold theory." Global Journal of Pure and Applied Mathematics. 3 (3), pp. 241-249.
Fractal landscape method: an alternative approach to measuring area-restricted searching behavior
Tremblay, Yann, Roberts, Antony J. and Costa, Daniel P.. 2007. "Fractal landscape method: an alternative approach to measuring area-restricted searching behavior." The Journal of Experimental Biology. 210 (6), pp. 935-945. https://doi.org/10.1242/jeb.02710
A normal form of thin fluid film equations solves the transient paradox
Roberts, A. J.. 2006. "A normal form of thin fluid film equations solves the transient paradox." Physica D: Nonlinear Phenomena. 223 (1), pp. 69-81. https://doi.org/10.1016/j.physd.2006.08.018
Low-dimensional modelling of dynamical systems applied to some dissipative fluid mechanics
Roberts, A. J.. 2003. "Low-dimensional modelling of dynamical systems applied to some dissipative fluid mechanics." Ball, Rowena and Akhmediev, Nial (ed.) Nonlinear dynamics from lasers to butterflies: selected lectures from the 15th Canberra International Physics Summer School. World Scientific Publishing. pp. 257-313
Modelling nonlinear dynamics of shape-memory-alloys with approximate models of coupled thermoelasticity
Melnik, Roderick V. N. and Roberts, A. J.. 2003. "Modelling nonlinear dynamics of shape-memory-alloys with approximate models of coupled thermoelasticity." Journal of Applied Mathematics and Mechanics (ZAMM). 83 (2), pp. 93-104. https://doi.org/10.1002/zamm.200310009
A new case of truncated phase equation for coupled oscillators
Strunin, Dmitry V.. 2009. "A new case of truncated phase equation for coupled oscillators ." Yahya, Abu Hasan (ed.) 5th Asian Mathematical Conference (AMC2009). Kuala Lumpur, Malaysia 22 - 26 Jun 2009 Kuala-Lumpur, Malaysia.
Modelling turbulent flow from dam break using slow manifolds
Georgiev, D. J., Roberts, A. J. and Strunin, D. V.. 2009. "Modelling turbulent flow from dam break using slow manifolds ." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 50 (S), pp. C1033-C1051.
Effect of canine hyperimmune plasma on TNFa and inflammatory cell levels in a lipopolysaccharide-mediated rat air pouch model of inflammation
Strunin, Dmitry, Essien, Bryan, Kotiw, Michael and Butler, Harry. 2009. "Effect of canine hyperimmune plasma on TNFa and inflammatory cell levels in a lipopolysaccharide-mediated rat air pouch model of inflammation." Reinhart, Konrad (ed.) Sepsis 2009: Critical Care Conference. Amsterdam, Netherlands 11 - 14 Nov 2009 https://doi.org/10.1186/cc8064
Low Prandtl number fluid convection modelled using symbolic algebra (REDUCE) and Matlab
Passmore, Tim and Roberts, A. J.. 2003. "Low Prandtl number fluid convection modelled using symbolic algebra (REDUCE) and Matlab." ANZIAM 2003: Computational Techniques and Applications. Toowoomba, Australia 16 - 18 Jul 2003 Cambridge, United Kingdom .
Phase equation with nonlinear excitation for nonlocally coupled oscillators
Strunin, D. V.. 2009. "Phase equation with nonlinear excitation for nonlocally coupled oscillators." Physica D: Nonlinear Phenomena. 238 (18), pp. 1909-1916. https://doi.org/10.1016/j.physd.2009.06.022
Low-dimensional boundary-layer model of turbulent dispersion in a channel
Strunin, Dmitry V. and Roberts, Anthony J.. 2009. "Low-dimensional boundary-layer model of turbulent dispersion in a channel." Ao, S. I., Gelman, Len, Hukins, David W. L., Hunter, Andrew and Korsunsky, A. M. (ed.) WCE 2009: World Congress of Engineering . London, United Kingdom 01 - 03 Jul 2009 London, UK.
Fluid flow between active elastic plates
Strunin, D. V.. 2009. "Fluid flow between active elastic plates." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 50 (S), pp. C871-C883.
Two-dimensional particle solution of the extended Hamilton-Jacobi equation
Strunin, D. V.. 2008. "Two-dimensional particle solution of the extended Hamilton-Jacobi equation." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 50 (August), pp. C282-C291.
Dynamical system approach and attracting manifolds in K-epsilon model of turbulent jet
Strunin, D. V.. 2008. "Dynamical system approach and attracting manifolds in K-epsilon model of turbulent jet." Bulletin of the Belgian Mathematical Society: Simon Stevin. 15 (5), pp. 935-946.
Advection-dispersion in symmetric field-flow fractionation channels
Suslov, Sergey A. and Roberts, A. J.. 1998. Advection-dispersion in symmetric field-flow fractionation channels. Toowoomba, Australia. University of Southern Queensland.
Modelling wind erosion at national and regional scale using the CEMSYS model: national monitoring and evaluation framework, prepared for the National Land & Water Resources Audit
Butler, Harry J., Shao, Yaping, Leys, John F. and McTainsh, G. H.. 2007. Modelling wind erosion at national and regional scale using the CEMSYS model: national monitoring and evaluation framework, prepared for the National Land & Water Resources Audit. Canberra, Australia. National Land and Water Resources Audit.
Phenomenological approach to 3D spinning combustion waves: numerical experiments with a rectangular rod
Strunin, Dmitry V. and Suslov, Sergey A.. 2005. "Phenomenological approach to 3D spinning combustion waves: numerical experiments with a rectangular rod." International Journal of Self Propagating High Temperature Synthesis. 14 (1), pp. 33-39.
In vitro effect of canine hyperimmune sera on TNFa activity
Kotiw, Michael, Shiels, I. A., Wilson, R. P. and Reeve-Johnson, Lloyd. 2006. "In vitro effect of canine hyperimmune sera on TNFa activity." Journal of Veterinary Pharmacology and Therapeutics. 29 (Supplement 1), pp. 100-101. https://doi.org/10.1111/j.1365-2885.2006.00761.x
The style files: teach explicit skills with feedback
Roberts, Tony. 2008. "The style files: teach explicit skills with feedback." Gazette of the Australian Mathematical Society. 35 (3), pp. 156-157.
The style files: write to read breadth first, not depth first
Roberts, Tony. 2008. "The style files: write to read breadth first, not depth first." Gazette of the Australian Mathematical Society. 35 (1), pp. 17-19.
Computer algebra derives discretisations via self-adjoint multiscale modelling
Roberts, A. J.. 2008. "Computer algebra derives discretisations via self-adjoint multiscale modelling." Unpublihsed.
Local source influences upon the structure of dust plumes in the Channel Country of Western Queensland, Australia
Butler, Harry J.. 2003. Local source influences upon the structure of dust plumes in the Channel Country of Western Queensland, Australia. PhD Thesis Doctor of Philosophy. Griffith University.
Universal regimes of a free turbulent jet
Strunin, D. V.. 2007. "Universal regimes of a free turbulent jet." Jacobs, Peter A., McIntyre, Tim, Cleary, Matthew J., Buttsworth, David R., Mee, David, Clements, Rose, Morgan, Richard and Lemckert, Charles (ed.) 16th Australasian Fluid Mechanics Conference (AFMC 2007). Gold Coast, Australia 03 - 07 Dec 2007 Brisbane, Australia.
Attractors in confined source problems for coupled nonlinear diffusion
Strunin, Dmitry V.. 2007. "Attractors in confined source problems for coupled nonlinear diffusion." SIAM Journal on Applied Mathematics. 67 (6), pp. 1654-1674. https://doi.org/10.1137/060657923
A flexible, extensible online testing system for mathematics
Passmore, Tim, Brookshaw, Leigh and Butler, Harry J.. 2007. "A flexible, extensible online testing system for mathematics." AMS NZMS 2007: Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society. Wellington, New Zealand 12 - 15 Dec 2007 Wellington, New Zealand.
A numerical model for the confinement of oil spill with floating booms
Zhu, SongPing and Strunin, Dmitry V.. 2002. "A numerical model for the confinement of oil spill with floating booms." Spill Science and Technology Bulletin. 7 (5-6), pp. 249-255. https://doi.org/10.1016/S1353-2561(02)00042-7
Computer algebra describes flow of turbulent floods via the Smagorinski large eddy closure
Roberts, A. J.. 2008. Computer algebra describes flow of turbulent floods via the Smagorinski large eddy closure. Toowoomba, Australia. University of Southern Queensland.
Towards a simple Gaussian model to describe multiple source areas during wind erosion events
Butler, H. J., Hogarth, W. L. and McTainsh, G. H.. 1995. "Towards a simple Gaussian model to describe multiple source areas during wind erosion events." Binning, Philip, Bridgman, Howard and Williams, Brian (ed.) 11th International Congress on Modelling and Simulation (MODSIM95). Newcastle, Australia 27 - 30 Nov 1995 Canberra, Australia. Modelling and Simulation Society of Australia and New Zealand .
The inertial dynamics of thin film flow of non-Newtonian fluids
Roberts, A. J.. 2008. "The inertial dynamics of thin film flow of non-Newtonian fluids." Physics Letters A. 372 (10), pp. 1607-1611. https://doi.org/10.1016/j.physleta.2007.10.014
The effect of equine hyperimmune sera on TNF alpha activity in a L929 cell bioassay
Kotiw, M., Raghaven, C., Johnson, M., Shiels, I. A. and Wilson, R. P.. 2006. "The effect of equine hyperimmune sera on TNF alpha activity in a L929 cell bioassay." Bryden, W. L. (ed.) AESS 2006: Australian Equine Science Symposium: Research for the 21st Century Horse Industry: From Genomics to the Winning Post. Gold Coast, Australia 13 - 14 Jun 2006 Gold Coast, Australia.
Normal form transforms separate slow and fast modes in stochastic dynamical systems
Roberts, A. J.. 2008. "Normal form transforms separate slow and fast modes in stochastic dynamical systems." Physica A: Statistical Mechanics and its Applications. 387 (1), pp. 12-38. https://doi.org/10.1016/j.physa.2007.08.023
Computer algebra models dynamics on a multigrid across multiple length and time scales
Roberts, A. J.. 2007. Computer algebra models dynamics on a multigrid across multiple length and time scales.
Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model
Georgiev, Dian J., Roberts, A. J. and Strunin, Dmitry V.. 2007. "Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model." Discrete and Continuous Dynamical Systems Series A.
The dynamics of the vertical structure of turbulence in flood flows
Georgiev, D. J., Roberts, A. J. and Strunin, D. V.. 2007. "The dynamics of the vertical structure of turbulence in flood flows." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 48, pp. C573-C590. https://doi.org/10.0000/anziamj.v48i0.124
Mathematical and numerical analysis of Falk-Konopka-type models for shape-memory alloys
Melnik, R. V. N., Roberts, A. J. and Thomas, K. A.. 2000. "Mathematical and numerical analysis of Falk-Konopka-type models for shape-memory alloys." International Journal of Differential Equations and Applications. 1A (3), pp. 291-300.
Computing dynamics of copper-based SMA via center manifold reduction of 3D models
Melnik, R. V. N., Roberts, A. J. and Thomas, K. A.. 2000. "Computing dynamics of copper-based SMA via center manifold reduction of 3D models." Computational Materials Science. 18 (3/4), pp. 255-268.
Branching behavior of standing waves - the signatures of resonance
Smith, D. H. and Roberts, A. J.. 1999. "Branching behavior of standing waves - the signatures of resonance." Physics of Fluids. 11 (5), pp. 1051-1064. https://doi.org/10.1063/1.869976
Biological methods: a novel course in undergraduate biology
Kotiw, Michael, Learmonth, Robert P. and Sutherland, Mark W.. 1999. "Biological methods: a novel course in undergraduate biology." Biochemical Education. 27 (3), pp. 131-134. https://doi.org/10.1016/S0307-4412(99)00002-3
The relevance of human rights to health status in Australian Aboriginal and Torres Strait Islander communities
Smallwood, Gracelyn, White, Colin and Kotiw, Michael. 1997. "The relevance of human rights to health status in Australian Aboriginal and Torres Strait Islander communities." Health and Human Rights: an international journal. 2 (2), pp. 127-136.
Models encompassing hydraulic jumps in radial flows over a horizontal plate
Strunin, Dmitry and Roberts, Tony. 2001. "Models encompassing hydraulic jumps in radial flows over a horizontal plate." Kluev, Vitaly and Mastorakis, Nikos (ed.) 2nd WSEAS Multiconference on Applied and Theoretical Mathematics (WSEAS 2001). Cairns, Australia 17 - 23 Dec 2001 Greece.
In vitro and in vivo determination of ant-TNFa activity in canine plasma from donors subject to pre conditioning with endotoxin
Kotiw, Michael, Morgan, Michael, Lopez, Jesus, Taylor, Steven and Shiels, Ian. 2007. "In vitro and in vivo determination of ant-TNFa activity in canine plasma from donors subject to pre conditioning with endotoxin." Marshall, John (ed.) SEPSIS 2007: International Sepsis Forum ISF . Paris, France 26 - 29 Sep 2007 London, United Kingdom. https://doi.org/10.1186/cc6002
In the footsteps of Florey: utilising cultured microfungi in the search for new antibiotics
Parker, C., Barrow, Russell, Bloor, S. J., Grace, Emily J., Michael, Adam P., Thompson, Christopher and Kotiw, Michael. 2001. "In the footsteps of Florey: utilising cultured microfungi in the search for new antibiotics." Bernhardt, Debra (ed.) FACS 2001: 9th Asian Chemical Congress . Brisbane, Australia 02 - 04 Jul 2001 Brisbane, Australia.
Dip coating process for hot metal castings
McGuinness, M. and Roberts, Anthony. 2000. "Dip coating process for hot metal castings." Hewitt, John (ed.) 16th Australian and New Zealand Mathematics In Industry Study Group (MISG 1999). Brisbane, Australia 01 - 05 Feb 1999 Adelaide, Australia.
Coupled thermomechanical waves in hyperbolic thermoelasticity
Strunin, D. V., Melnik, R. V. N. and Roberts, A. J.. 2001. "Coupled thermomechanical waves in hyperbolic thermoelasticity." Journal of Thermal Stresses. 24 (2), pp. 121-140. https://doi.org/10.1080/01495730150500433
A corrected quadrature formula and applications
Ujevic, Nenad and Roberts, A. J.. 2004. "A corrected quadrature formula and applications." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 45 (E), pp. E41-E56.
Phase transitions in shape memory alloys with hyperbolic heat conduction and differential-algebraic models
Melnik, R. V. N., Roberts, A. J. and Thomas, K. A.. 2002. "Phase transitions in shape memory alloys with hyperbolic heat conduction and differential-algebraic models." Computational Mechanics. 29 (1), pp. 16-26. https://doi.org/10.1007/s00466-002-0311-5
Coupled thermomechanical dynamics of phase transitions in shape memory alloys and related hysteresis phenomena
Melnik, R. V. N., Roberts, A. J. and Thomas, K. A.. 2001. "Coupled thermomechanical dynamics of phase transitions in shape memory alloys and related hysteresis phenomena." Mechanics Research Communications. 28 (6), pp. 637-651. https://doi.org/10.1016/S0093-6413(02)00216-1
A holistic finite difference approach models linear dynamics consistently
Roberts, A. J.. 2003. "A holistic finite difference approach models linear dynamics consistently." Mathematics of Computation. 72 (241), pp. 247-262. https://doi.org/10.1090/S0025-5718-02-01448-5
Holistic discretisation ensures fidelity to Burger's equation
Roberts, A. J.. 2001. "Holistic discretisation ensures fidelity to Burger's equation." Applied Numerical Mathematics. 37 (3), pp. 371-396. https://doi.org/10.1016/S0168-9274(00)00053-2
A lubrication model of coating flows over a curved substrate in space
Roy, R. Valery, Roberts, A. J. and Simpson, M. E.. 2002. "A lubrication model of coating flows over a curved substrate in space." Journal of Fluid Mechanics. 454 (1), pp. 235-261. https://doi.org/10.1017/S0022112001007133
Effects of spatial variations in source areas upon dust concentration profiles during three wind erosion events in Australia
Butler, H. J., Hogarth, W. L. and McTainsh, G. H.. 2001. "Effects of spatial variations in source areas upon dust concentration profiles during three wind erosion events in Australia." Earth Surface Processes and Landforms. 26 (10), pp. 1039-1048. https://doi.org/10.1002/esp.235
Particle-size characteristics of the vertical dust profiles of two contrasting dust events in the Channel Country of western Queensland, Australia
Butler, Harry J., McTainsh, G. H. and Hogarth, W. L.. 2006. "Particle-size characteristics of the vertical dust profiles of two contrasting dust events in the Channel Country of western Queensland, Australia." 6th International Conference on Aeolian Research (ICAR VI). Guelph, Canada 24 - 28 Jul 2006 Guelph, Ontario, Canada.
Monitoring soil condition across Australia: recommendations from the expert panels
McTainsh, Grant, Leys, John, Carter, Dan, Butler, Harry, McCord, Andy and Wain, Alan. 2006. Monitoring soil condition across Australia: recommendations from the expert panels. Canberra, Australia. National Committee on Soil and Terrain for the National Land and Water Resources Audit.
Nonlinear instability in generalized nonlinear phase diffusion equation
Strunin, Dmitry V.. 2003. "Nonlinear instability in generalized nonlinear phase diffusion equation." Progress of Theoretical Physics Supplement.
Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids
Roberts, A. J.. 2007. Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids . University of Southern Queensland.
Computer algebra derives normal forms of stochastic differential equations
Roberts, A. J.. 2007. Computer algebra derives normal forms of stochastic differential equations . Toowoomba, Australia. University of Southern Queensland.
Exploring the potential for dual vaccination against Hepatitis B virus and Helicobacter pylori using a recombinant virus like particle
Kotiw, Michael, Olive, C., Johnson, Megan, Pandy, M., Fry, Scott Robert, Hazell, Stuart L., Netter, H. and Good, M.. 2006. "Exploring the potential for dual vaccination against Hepatitis B virus and Helicobacter pylori using a recombinant virus like particle." Sirtori, Patrizia (ed.) 6th National Congress of the Italian Society of Virology - a joint meeting with the Virus Group of the Society for General Microbiology (UK). Orvieto, Italy 18 - 20 Sep 2006 Italy.
Computer algebra derives discretisations of the stochastically forced Burgers' partial differential equation
Roberts, A. J.. 2006. Computer algebra derives discretisations of the stochastically forced Burgers' partial differential equation. Toowoomba, Australia. University of Southern Queensland.
The style files: favour the present tense
Roberts, Tony. 2006. "The style files: favour the present tense." Gazette of the Australian Mathematical Society. 33 (5), pp. 313-314.
The style files: explicitly avoid false conditionals
Roberts, Tony. 2006. "The style files: explicitly avoid false conditionals." Gazette of the Australian Mathematical Society. 33 (4), pp. 241-242.
The style files: inform with titles, abstracts and introductions
Roberts, Tony. 2006. "The style files: inform with titles, abstracts and introductions." Gazette of the Australian Mathematical Society. 33 (3), pp. 169-170.
The style files: clarify this
Roberts, Tony. 2006. "The style files: clarify this." Gazette of the Australian Mathematical Society. 33 (2), pp. 104-105.
The style files: prefer active writing to passive
Roberts, Tony. 2006. "The style files: prefer active writing to passive." Gazette of the Australian Mathematical Society. 33 (1), pp. 22-23.
Computer algebra resolves a multitude of microscale interactions to model stochastic partial differential equations
Roberts, A. J.. 2005. Computer algebra resolves a multitude of microscale interactions to model stochastic partial differential equations. Toowoomba, Australia. University of Southern Queensland.
Resolving the multitude of microscale interactions accurately models stochastic partial differential equations
Roberts, A. J.. 2006. "Resolving the multitude of microscale interactions accurately models stochastic partial differential equations." LMS Journal of Computation and Mathematics. 9, pp. 193-221. https://doi.org/10.1112/S146115700000125X
An accurate and comprehensive model of thin fluid flows with inertia on curved substrates
Roberts, A. J. and Li, Zhenquan. 2006. "An accurate and comprehensive model of thin fluid flows with inertia on curved substrates." Journal of Fluid Mechanics. 553 (1), pp. 33-73. https://doi.org/10.1017/S0022112006008640
Resolve the multitude of microscale interactions to holistically discretise the stochastically forced Burgers' partial differential equation
Roberts, A. J.. 2006. Resolve the multitude of microscale interactions to holistically discretise the stochastically forced Burgers' partial differential equation. Toowoomba, Australia. University of Southern Queensland.
General tooth boundary conditions for equation free modelling
Roberts, A. J. and Kevrekidis, I. G.. 2006. General tooth boundary conditions for equation free modelling. Toowoomba, Australia. University of Southern Queensland.
Attractors and centre manifolds in nonlinear diffusion
Strunin, Dmitry V.. 2005. "Attractors and centre manifolds in nonlinear diffusion." 2nd International Conference on Scientific Computing and Partial Differential Equations & The First East Asian SIAM Symposium. Hong Kong, China 12 - 16 Dec 2005 Hong Kong.
Nonlinear analysis of rubber-based polymeric materials with thermal relaxation models
Melnik, R. V. N., Strunin, D. V. and Roberts, A. J.. 2005. "Nonlinear analysis of rubber-based polymeric materials with thermal relaxation models." Numerical Heat Transfer Part A: Applications. 47 (6), pp. 549-569. https://doi.org/10.1080/10407780590891236
Higher order accuracy in the gap-tooth scheme for large-scale dynamics using microscopic simulators
Roberts, A. J. and Kevrekidis, I. G.. 2005. "Higher order accuracy in the gap-tooth scheme for large-scale dynamics using microscopic simulators." May, Rob and Roberts, A, J. (ed.) CTAC 2004: 12th Biennial Computational Techniques and Applications Conference. Melbourne, Australia Sep 2004 Cambridge, United Kingdom .
Predicting the off-site deposition of spray drift from horticultural spraying through porous barriers on soil and plant surfaces
Mercer, Geoff and Roberts, Tony. 2005. "Predicting the off-site deposition of spray drift from horticultural spraying through porous barriers on soil and plant surfaces." Wake, Graeme (ed.) MISG 2005: 22nd Mathematics-In-Industry Study Group. Auckland, New Zealand 24 - 28 Jan 2005 Auckland, New Zealand.
Modelling dust movement within the Channel Country of western Queensland
Butler, H. J., McTainsh, G. H. and Hogarth, W. L.. 2005. "Modelling dust movement within the Channel Country of western Queensland." Box, Gail (ed.) 1st Australian Aerosol Workshop (ANSTO 2005). Sydney, Australia 30 Mar - 01 Apr 2005 Sydney, Australia.
Spatial distinction of source areas during wind erosion events in the channel country of western Queensland, Australia
Butler, H. J., McTainsh, G. H. and Hogarth, W. L.. 2001. "Spatial distinction of source areas during wind erosion events in the channel country of western Queensland, Australia." Conacher, A. J. (ed.) 6th Meeting of the IGU Commission on Land Degradation and Desertification (COMLAND 1999): Agriculture, Land Degradation and Desertification. Perth, Australia 20 - 28 Sep 1999 Dordrecht, Netherlands.
The Australian dust bowl
Butler, Harry J.. 1995. "The Australian dust bowl." Australasian Science. 16 (3), pp. 29-31.
Isochromophilone IX, a novel GABA-containing metabolite isolated from a cultured fungus, Penicillium sp.
Michael, Adam P., Grace, Emily J., Kotiw, Michael and Barrow, Russell A.. 2003. "Isochromophilone IX, a novel GABA-containing metabolite isolated from a cultured fungus, Penicillium sp." Australian Journal of Chemistry: an international journal for chemical science. 56 (1), pp. 13-15. https://doi.org/10.1071/CH02021