Mark Nelson's Papers
Publications listed on this page are sorted into the following
categories.
You can read the abstracts for papers I published in a given year by clicking
on the year in the list below. Alternatively, clicking
on the title of one of papers
will take you straight to the corresponding abstract.
In the following:
- a superscript p denotes an author
who was a PhD student at the time the research was carried out.
- a superscript m denotes an author
who was an undergraduate at the time the research was carried out.
- a superscript u denotes an author
who was an undergraduate at the time the research was carried out.
- M.I. Nelson and X.D. Chen.
Recent experimental work on the
self-heating and spontaneous combustion of coal, in
G.B. Stracher (editor),
Wild Coal Fires: Case Studies from Around the World,
Geological Society of America Reviews in Engineering Geology v, XVIII,
p 31-83, 2007.
http://dx.doi.org/10.1130/2007.4118(04).
- M.I. Nelson, X.D. Chen and H.S. Sidhu.
Reducing the emission of pollutants in industrial wastewater
through the use of membrane reactors. In
R.J. Hosking and E. Venturino (Editors),
Aspects of Mathematical Modelling, Birkhäuser, Basel,
95-107,
2008.
- M.I. Nelson.
Reducing sludge formation in the activated sludge process.
In Kyushu~University Institute of Mathematics~for Industry, editor,
Agriculture as a metaphor for creativity in all human
endeavors, volume 70 of MI Lecture Notes,
pages 38-43. Institute of Mathematics
for Industry, Kyushu University, Japan,
2016.
- M.I. Nelson.
Reducing sludge formation in the activated sludge process.
In R.S. Anderssen, P. Broadbridge, Y. Fukumoto, K. Kajiwara, M.
Simpson, and I. Turner, editors, Agriculture as a Metaphor for
Creativity in All Human Endeavors, pages 53--66. Springer,
Singapore,
2018.
"https://doi.org/10.1007/978-981-10-7811-8_7.
- M.I. Nelson, J. Brindley, and A.C. McIntosh.
A Mathematical Model of Ignition in the Cone Calorimeter.
Combustion Science and Technology,
104:35-54,
1995.
- M.I. Nelson and J. Brindley.
Modelling Char-Formation in Isothermal and
Non-Isothermal Thermogravimetric Experiments.
Thermochimica Acta,
258:175-188, July
1995.
- M.I. Nelson, J. Brindley, and A.C. McIntosh.
The Dependence of Critical Heat Flux on
Fuel and Additive Properties: A Critical Mass Flux Model.
Fire Safety Journal, 24(2):107-130,
1995.
- M.I. Nelson, J. Brindley, and A.C. McIntosh.
Ignition Properties of Thermally Thin Materials
in the Cone Calorimeter: A Critical Mass Flux Model.
Combustion Science and Technology,
113-114:221-241,
1996.
- M.I. Nelson, J. Brindley, and A.C. McIntosh.
Polymer Ignition.
Mathematical and Computer Modelling,
24(8):39-46,
October
1996.
- M.I. Nelson, J. Brindley, and A.C. McIntosh.
Ignition Properties of Thermally Thin
Thermoplastics - The Effectiveness of
Inert Additives in Reducing Flammability.
Polymer Degradation and Stability,
54(2-3):255-267,
1996.
- M.I. Nelson, J. Brindley, and A.C. McIntosh.
The Effect of Heat Sink Additives on the
Ignition and Heat Release Properties of Thermally Thin Thermoplastics.
Fire Safety Journal,
28(1): 67-94, February
1997.
- M.I. Nelson.
Ignition Mechanisms of Thermally Thin Thermoplastics
in the Cone Calorimeter.
Proceedings of the Royal
Society of London A, 454(1971):789-814,
March 1998.
- E. Balakrishnan, M.I. Nelson, and G.C. Wake.
Radiative Ignition of Combustible Materials I.
Polymeric Materials Undergoing Non-Flaming Thermal Degradation -
The Critical Storage Problem.
Mathematical and Computer Modelling,
30(11-12):177-195, December
1999.
- M.I. Nelson and J. Brindley.
Polymer Combustion: Effects of Flame Emissivity.
Philosophical Transactions of the Royal Society
of London Series A,
357:3655-3673, December
1999.
- M.I. Nelson, G.C. Wake, and X.D. Chen.
Heterogeneously catalysed combustion in a
continuously stirred tank reactor - low temperature
reactions.
Combustion Theory and Modelling,
4(1):1-27, March
2000.
- M.I. Nelson.
Comparison Theorems for Multicomponent Diffusion Systems:
Developments since 1961.
Journal of Applied Mathematics and Decision Sciences,
4(2):151-163,
2000.
- H.S. Sidhu, M.I. Nelson, G.N. Mercer and R.O. Weber.
Dynamical analysis of an elementary X+Y-->P reaction in
a continuously stirred tank reactor
Journal of Mathematical Chemistry,
28(4):353-375,
2000.
- M.I. Nelson.
A dynamical systems model of the limiting oxygen index test.
II Retardancy due to char-formation and addition of inert fillers.
Combustion Theory and Modelling,
5(1): 59-83, March
2001.
- M.I. Nelson, G.C. Wake, X.D. Chen, and E. Balakrishnan.
The multiplicity of steady-state solutions arising
from microwave heating:
I Infinite biot number and small penetration depth.
The ANZIAM Journal,
43(1): 87-103,
2001.
http://dx.doi.org/10.1017/S1446181100011445.
- M.I. Nelson, H.S. Sidhu, R.O. Weber, and G.N. Mercer.
A dynamical systems model of the limiting oxygen index test.
The ANZIAM Journal,
43(1): 105-117,
2001.
http://dx.doi.org/10.1017/S1446181100011457.
- J.E.J. Staggs and M.I. Nelson.
A critical mass flux model for the flammability of
thermoplastics.
Combustion Theory and Modelling, 5(3),
399-427, September 2001.
- E. Balakrishnan, M.I. Nelson and X.D. Chen.
Microwave assisted ignition to achieve combustion synthesis.
Journal of Applied Mathematics and Decision Sciences,
5(3): 151-164,
September 2001.
- M.I. Nelson.
Thermally thin materials with enhanced fire-resistant
properties: A dynamical systems model.
Combustion Science and Technology,
167: 82-112,
2001.
- M.I. Nelson and H.S. Sidhu.
Bifurcation phenomena for an oxidation reaction in a
continuously stirred tank reactor. I Adiabatic operation.
Journal of Mathematical Chemistry,
31(2): 155-186, February
2002.
- M.I. Nelson, J. Brindley and A.C. McIntosh.
Ignition properties of thermally thin plastics: The effectiveness
of non-competitive char formation in reducing flammability.
Journal of Applied Mathematics and Decision Sciences,
6(3): 155-181,
2002.
- M.I. Nelson, E. Balakrishnan, and X.D. Chen.
A Semenov model of self-heating in compost piles.
Transactions of IChemE Part B: Process Safety and
Environmental Protection.
81(B), 375-383,
2003.
This paper was awarded a `John A Brodie
Medal: Certificate of Merit' for being one of the
top six papers published in the
9th Asia Pacific Confederation of
Chemical Engineers
Congress (2002) in practical application of chemical engineering.
They were over 900 papers provided to the congress.
The award is given annually by the Chairman of College of
Chemical Engineers,
The Institution of Engineers of Australia.
- M.I. Nelson and H.S. Sidhu.
Bifurcation phenomena for an oxidation reaction in a
continuously stirred tank reactor. II Diabatic operation.
The ANZIAM Journal, 45(3), 303-326,
2004.
http://dx.doi.org/10.1017/S1446181100013389.
- M.I. Nelson and H.S. Sidhu.
Flammability limits of an oxidation reaction in a batch reactor.
II The Rychlý mechanism.
Journal of Mathematical Chemistry, 35(2),
119-129, February
2004.
http://dx.doi.org/10.1023/B:JOMC.0000014308.66514.e7.
- T.R. Marchant and M.I. Nelson.
Semi-analytical solutions for one and two-dimensional
pellet problems.
Proceedings of the Royal Society of London A,
460, 2381-2394,
2004.
- M.I. Nelson.
Bifurcation phenomena for an oxidation reaction in a
continuously stirred tank reactor. III The inhibiting effect of
an inert species.
The ANZIAM Journal, 46(3), 399-416, March
2005.
http://dx.doi.org/10.1017/S1446181100008348.
- H.S. Sidhu and M.I. Nelson.
Behaviour of an elementary oxidation reaction in a
semi-batch reactor.
Chemical Engineering Journal,
110(1-3), 31-39,
2005.
http://dx.doi.org/10.1016/j.cej.2005.04.012.
- M.I. Nelson and H.S. Sidhu.
Analysis of a chemostat model with variable yield coefficient.
Journal of Mathematical Chemistry,
38(4): 605-615,
2005.
- M.I. Nelson, X.D. Chen and M.J. Sexton.
Analysis of
the Michaelis-Menten mechanisms in an immobilised enzyme reactor.
The ANZIAM Journal, 47(2): 173-184,
2005.
The DOI (Digital Object Identifier) link for this article is
http://dx.doi.org/10.1017/S1446181100009974.
- M.I. Nelson and H.S. Sidhu.
Evaluating the performance of a cascade of two bioreactors.
Chemical Engineering Science, 61(10):
3159-3166,
2006.
http://dx.doi.org/10.1016/j.ces.2005.12.007.
- R.O. Weber, H.S. Sidhu, D.M. Sawadeu,
G.N. Mercer and M.I. Nelson.
Using the method of lines to determine critical conditions
for thermal ignition.
The Journal of Engineering Mathematics,
56, 185-200,
2006.
http://dx.doi.org/10.1007/s10665-006-9059-9.
- M.I. Nelson and H.S. Sidhu.
Reducing the emission of pollutants in food processing wastewaters.
Chemical Engineering & Processing,
46(5), 429-436, May
2007.
http://dx.doi.org/10.1016/j.cep.2006.04.012.
- H.S. Sidhu, M.I. Nelson,
T. Luangwilaiu and
X.D. Chen.
Mathematical Modelling of the Self-Heating Process in Compost
Piles.
Chemical Product and Process Modeling,
2(2), article 8,
2007.
http://www.bepress.com/cppm/vol2/iss2/8.
- H.S. Sidhu, S.D. Watt, M.I. Nelson and
A.K. Ray.
Performance improvement and dynamical behaviour analysis of a
cascade of two CSTRs.
International Journal of Chemical Reactor Engineering,
5: A13,
2007.
http://www.bepress.com/ijcre/vol5/A13.
- S. Karp,
X.D. Chen and M.I. Nelson.
Direct-contact heat transfer coefficient for condensing
vapor bubble in stagnant liquid pool.
Chemical Engineering Research and Design
85(A3), 320-328,
2007.
http://dx.doi.org/10.1205/cherd06030.
- M.I. Nelson, T.R. Marchant, G.C. Wake, E. Balakrishnan,
and X.D. Chen.
Self-heating in compost piles due to biological effects.
Chemical Engineering Science 62(17),
4612-4618,
2007.
http://dx.doi.org/10.1016/j.ces.2007.05.018.
- M.I. Nelson, T. Kerru
and X.D. Chen.
A fundamental
analysis of continuous flow bioreactor and membrane reactor models
with death and maintenance included.
Asia-Pacific Journal of Chemical Engineering,
3(1), 70-80,
2008.
http://dx.doi.org/10.1002/apj.106.
- M.I. Nelson and E. Balakrishnan.
Autoignition of hydrocarbons in a batch reactor.
Analysis of a reduced model.
Applied Mathematics Letters, 21(8),
866-871, 2008.
http://dx.doi.org/10.1016/j.aml.2007.08.014.
- M.I. Nelson, E. Balakrishnan, H.S. Sidhu and
X.D. Chen.
A fundamental
analysis of continuous flow bioreactor models and membrane reactor
models to process industrial wastewaters.
Chemical Engineering Journal, 140,
521-528, 2008.
http://dx.doi.org/10.1016/j.cej.2007.11.035.
- M.I. Nelson, J.L. Quigleyu
and X.D. Chen.
A fundamental analysis of continuous flow bioreactor and membrane reactor
models with non-competitive product inhibition
Asia-Pacific Journal of Chemical Engineering,
4(1), 107-117,
2009.
http://dx.doi.org/10.1002/apj.234.
- M.I. Nelson and H.S. Sidhu.
Analysis of
the activated sludge model (number 1).
Applied Mathematics Letters,
22, 629-635,
2009.
http://dx.doi.org/10.1016/j.aml.2008.05.003.
- M.I. Nelson and A. Holderu.
A fundamental analysis of continuous flow bioreactor models
governed by Contois kinetics. II. Reactor cascades.
Chemical Engineering Journal, 149 (1-3),
406-416, 2009.
http://dx.doi.org//10.1016/j.cej.2009.01.028.
- M.I. Nelson and H.S. Sidhu.
Analysis of a chemostat model with variable yield coefficient:
Tessier kinetics.
The Journal of Mathematical Chemistry,
46(2), 303-321,
2009.
http://dx.doi.org/10.1007/s10910-008-9463-7.
- H.S. Sidhu, S.D. Watt, and M.I. Nelson.
Performance comparison between a two-reactor cascade and a single
tank in an Activated Sludge Wastewater Treatment Process.
International Journal of Environment and Waste
Management, 3(3/4), 214-225
2009.
http://dx.doi.org/10.1504/IJEWM.2009.026338.
- M.S. Mahmudp, T. Safinski,
M. Nelson, H.S. Sidhu and
A.A. Adesina.
Kinetic
Analysis of Oleic Acid Esterification Using Lipase as Catalyst in a
Microaqueous Environment,
Industrial & Engineering Chemistry Research
49(3), 1071-1078.
2010.
http://dx.doi.org/10.1021/ie900704n.
- M.I. Nelson, H.S. Sidhu and A.A. Adesina.
Analysis of an Immobilised Enzyme Reactor with Catalyst Activation.
Chemical Product and Process Modeling
4, Issue 3, Article 14,
2009.
http://www.bepress.com/cppm/vol4/iss3/14.
- S.D. Watt, H.S. Sidhu, M.I. Nelson and A.K. Ray.
Analysis of a model for ethanol production through continuous
fermentation: ethanol productivity.
International Journal of Chemical Reactor Engineering
8, A52,
2010.
http://www.bepress.com/ijcre/vol8/A52.
- T. Luangwilai, H.S. Sidhu, M.I. Nelson and
X.D. Chen.
Modelling air flow and ambient temperature effects on the biological
self-heating of compost piles.
Asia-Pacific Journal of Chemical Engineering,
5(4), 609-618,
2010.
http://dx.doi.org/10.1002/apj.438.
- T. Luangwilaip,
H.S. Sidhu, M.I. Nelson
and X.D. Chen.
Using Singularity
Theory to Analyse a Spatially Uniform Model of Self-Heating in Compost
Piles.
East-West Journal of Mathematics, Contributions in
Mathematics and Applications III: 328-343,
2010.
- Rodney Van Bentumu
and Mark Ian Nelson.
Modelling the Passage of Food Through an Animal Stomach: a Chemical
Reactor Engineering Approach.
Chemical Engineering Journal, 166(1),
315-323,
2011.
http://dx.doi.org/10.1016/j.cej.2010.10.017.
- S.W. McCue, M. Hsieh p, T.J. Moroney and
M.I. Nelson.
Asymptotic and numerical results for a model of solvent-dependent
drug-diffusion through polymeric spheres.
SIAM Journal on Applied Mathematics,
71(6), 2287-2311,
2011.
http://dx.doi.org/10.1137/110821688.
- X.D. Chen, H.S. Sidhu, and M.I. Nelson.
Theoretical probing of the phenomenon of the formation of the
outermost layer of a multi-component particle, and the surface chemical
composition after the rapid removal of water in spray drying.
Chemical Engineering Science,
66(24):6375--6384,
2011.
http://dx.doi.org/10.1016/j.ces.2011.08.035.
- M.I. Nelson, E. Balakrishnan and and H.S. Sidhu.
A fundamental analysis of continuous flow bioreactor and membrane reactor
models with Tessier kinetics
Chemical Engineering Communications, 199(3),
417-433,
2012.
http://dx.doi.org/10.1080/00986445.2010.525155.
- R.T. Alqahtanip.
M.I. Nelson and A.L. Worthy.
A fundamental analysis of continuous flow bioreactor models with
recycle around each reactor governed by Contois kinetics. III. Two
and three reactor cascades.
Chemical Engineering Journal, 183,
422-432, 2012.
http://dx.doi.org/10.1016/j.cej.2011.12.061.
- Mark Ian Nelson and Wei Xian Lim
u.
A fundamental analysis of
continuous flow bioreactor and membrane reactor models with
non-competitive product inhibition. II. Exponential inhibition.
Asia-Pacific Journal of Chemical Engineering,
7(1), 24-32, 2012.
http://dx.doi.org/10.1002/apj.485.
- Mark Ian Nelson and Wei Xian Lim
u.
A fundamental analysis of
continuous flow bioreactor and membrane reactor models with
non-competitive product inhibition. III. Linear inhibition.
Asia-Pacific Journal of Chemical Engineering,
7(3), 343-352,
2012.
http://dx.doi.org/10.1002/apj.545.
- H.Y. Alfifi p, T.R. Marchant and
M.I. Nelson.
Generalised Diffusive Delay Logistic Equations: Semi-analytical
solutions.
Dynamics of Continuous, Discrete and Impulsive Systems
Series B: Applications & Algorithms,
19, 579--586,
2012.
- S-Y Qian p, P. Yu, Z-Y Zhang,
D.M. Hailey, P.J. Davy and
M.I. Nelson.
The work pattern of personal care workers in two Australian nursing homes:
a time-motion study.
BMC Health Services Work, 12, 305,
2012.
http://dx.doi.org/10.1186/1472-6963-12-305.
- R.T. Alqahtani p,
M.I. Nelson and A. Worthy.
A fundamental analysis of continuous flow bioreactor models governed by
Contois kinetics. IV. Recycle around the whole reactor cascade.
Chemical Engineering Journal, 218,
99-107,
2013.
- M.I. Nelson, T. Nicholls u and N. Hamzah.
A biological process subject to noncompetitive substrate inhibition
in a generalized flow reactor.
The ANZIAM Journal, 54(4):273--290,
2013.
http://dx.doi.org/10.1017/S1446181113000126.
Trackable link:
https://goo.gl/J9owaL.
- T. Luangwilai p, H.S. Sidhu and
M.I. Nelson.
Biological self-heating in compost piles: A Semenov formulation.
Chemical Engineering Science, 101:533--542,
2013.
- X.D. Chenm, H. Sidhu, and M. Nelson.
On the addition of protein (casein) to aqueous lactose as a drying
aid in spray drying --- theoretical surface composition.
Drying Technology, 31: 1504--1512,
2013.
http://www.tandfonline.com/doi/full/10.1080/07373937.2013.780247.
- X.D. Chenm, H. Sidhu, and M. Nelson.
A linear relationship between
dimensionless crossing-point-temperature and Frank-Kamenetskii reactivity parameter
in self-heating test at infinite Biot number for slab geometry.
Fire Safety Journal, 61: 138--143,
2013.
- M.I. Nelson and N. Hammzah.
Performance evaluation of
bioethanol production through continuous fermentation with a settling
unit.
Journal of Energy and Power Engineering,
7, 2083--2088,
2013.
- H.Y. Alfifip,
T.R. Marchant, and M.I. Nelson.
Semi-analytical solutions
for the 1- and 2-D diffusive Nicholson's blowflies equation.
IMA Journal of Applied Mathematics,
79, Number 1,
175-199,
2014.
http://imamat.oxfordjournals.org/content/79/1/175.abstract.html?etoc
.
- S. Qianp, P. Yu, D.M. Hailey, Z. Zhang,
P.J. Davy, and M.I. Nelson.
Time spent on daytime direct
care activities by personal carers in two Australian residential aged
care facilities: a time-motion study.
Australian Health Review, 38, 230--237,
2014.
http://www.publish.csiro.au/?paper=AH13161
- M.I. Nelson and
T.C.L. Yuem.
A Mathematical Analysis of a
Membrane Bioreactor Containing a Sludge Disintegration System .
Chemical Engineering Communications,
201(10): 1384-1403,
2014.
DOI: 10.1080/00986445.2013.809001.
- Ahmed Hussein Msmalip,
Mark I. Nelson and
Maureen P. Edwards.
Quadratic autocatalysis with
non-linear decay.
Journal of Mathematical Chemistry,
52(8): 2234-2258,
2014.
http://dx.doi.org/10.1007/s10910-014-0382-5.
- M.R. Alharthip, T.R. Marchant
and M.I. Nelson.
Mixed quadratic-cubic
autocatalytic reaction-diffusion equations: Semi-analytical solutions
.
Applied Mathematical Modelling,
38(21-22), 5160-5173.
2014.
http://dx.doi.org/10.1016/j.apm.2014.04.027.
- Harvinder S. Sidhu, Mark Ian Nelson and
Easwaran Balakrishnan.
An Analysis of a Standard
Reactor Cascade and a Step-Feed Reactor Cascade for Biological
Processes Described by Monod Kinetics,
Chemical Product and Process Modelling,
9,
2014.
http://dx.doi.org/10.1515/cppm-2014-0022.
Trackable link:
https://goo.gl/bVRvTi.
- R.T. Alqahtanip,
M.I. Nelson and A.L. Worthy.
Analysis of a Chemostat Model with Variable Yield Coefficient and
Substrate Inhibition: Contois Growth Kinetics.
Chemical Engineering Communications,
202(3), 332-344,
2015.
http://dx.doi.org/10.1080/00986445.2013.836630.
Trackable link:
https://goo.gl/8b69FR.
- R.T. Alqahtanip,
M.I. Nelson and A.L. Worthy.
A Biological Treatment of Industrial
Wastewaters: Contois Kinetics.
ANZIAM J,
56(4), 397-415,
2015.
2015.
http://dx.doi.org/10.1017/S144618111500005X.
- M.I. Nelson and E. Balakrishnan.
Quadratic autocatalysis in an extended continuous-flow stirred tank
reactor (ECSTR).
Applied Mathematical Modelling,
40(1), 363-372,
2016.
http://dx.doi.org/10.1016/j.apm.2015.05.009.
- A.O.M. Alharbip, M.I. Nelson,
A.L. Worthy and H.S. Sidhu.
Analysis of an activated sludge model in which dead biomass is recycled
into slowly biodegradable particulate substrate.
Asia-Pacific Journal of Chemical Engineering,
10(4), 580-597.
2015.
http://dx.doi.org/10.1002/apj.1906.
- M.R. Alharthip, T.R. Marchant
and M.I. Nelson.
Cubic autocatalysis in a reaction-diffusion annulus: semi-analytical
solutions.
Zeitschrift für angewandte Mathematik und Physik,
67, article 65.
2016.
http://dx.doi.org/10.1007/s00033-016-0660-0.
- H.Y. Alfifip, T.R. Marchant, and
M.I. Nelson.
Non-smooth feedback control
for Belousov-Zhabotinskii reaction-diffusion equations: semi-analytical
solutions.
Journal of Mathematical Chemistry,
54:1632--1657,
2016.
http://dx.doi.org/10.1007/s10910-016-0641-8.
- R.T. Alqahtani, M.I. Nelson, Annette L. Worthy.
Sludge disintegration.
Applied Mathematical Modelling, 40:
7830--7843,
2016.
doi:10.1016/j.apm.2016.03.040.
- C.S. Ormerodp and M. Nelson,
Controlled release drug delivery
via polymeric microspheres:
a neat application of the spherical diffusion equation.
International Journal of Mathematical Education in Science and
Technology,
48(8): 1268-1281.
2017.
http://dx.doi.org/10.1080/0020739X.2017.1324116.
- G.U. Semblante, H.I. Hai, J. McDonald, S.J. Khan,
M. Nelson, D-J. Lee, W.E. Price, and L.D. Nghiem.
Fate of trace organic
contaminants in oxic-settling-anoxic (OSA)
process applied for biosolids reduction during wastewater
treatment.
Bioresource Technology, 240:
181--191,
2017.
http://dx.doi.org/10.1016/j.biortech.2017.02.053.
- M.I. Nelson, P. Hagedoornu,
and A.L. Worthy.
The demon drink.
ANZIAM Journal, 59(2): 135--154,
2017.
http://dx.doi.org/10.1017/S1446181117000347.
- M.I. Nelson.
A mathematical model for
end-product toxicity.
Chemical Product and Process Modelling,
13(3),
2018.
http://dx.doi.org/10.1515/cppm-2017-0061.
- T. Luangwilaip,
H.S. Sidhu, and M.I. Nelson.
One-dimensional spatial model for self-heating in compost piles:
Investigating effects of moisture and air flow.
Food and Bioproducts Processing, 108:
18--26,
2018.
http://dx.doi.org/10.1016/j.fbp.2017.12.001.
- Mark I. Nelson, Rubayyi T. Alqahtani and Faisal I. Hai.
Mathematical modelling
of the removal of organic micropollutants in the
activated sludge process: a linear biodegradation model.
The ANZIAM Journal, 60(2), 191-229,
2018.
https://doi.org/10.1017/S1446181118000226.
- Mark Ian Nelson and
Bronwyn H. Bradshaw-Hajek.
An analysis of organic carbon removal in a two-reactorc cascade with
recycle and a two-reactor step-feed cascade with recycle.
Asia-Pacific Journal of Chemical Engineering,
15(1), 11 pages,
2020.
DOI: 10.1002/apj.2392.
- Mark Ian Nelson.
A model fix gone wrong:
investigation of an SIS model with saturating treatment.
International Journal of Mathematical Education in Science and
Technology, 52(2), pages 299-309,
2021.
https://doi.org/10.1080/0020739X.2020.1745916.
- Fahad Al Saadi, Annette Worthy, Haifaa Alrihieli and
Mark Nelson.
Localised spatial structures in the
Thomas model.
Mathematics and Computers in Simulation
194, 141-158
2022.
https://doi.org/10.1016/j.matcom.2021.10.030.
- Fahad Al Saadi, Annette Worthy, Ahmed Msmali and
Mark Nelson.
Stationary localised patterns
without Turing instability.
Mathematical Methods in the Applied Sciences
45(16), 9111-9129,
2022.
https://doi.org/10.1002/mma.8295.
- M.I. Nelson.
How long should a town be locked down
to eliminate an infectious disease?.
International Journal of Mathematical Education in Science and
Technology, 1--15,
2022.
https://doi.org/10.1080/0020739X.2022.2088419.
- S.S. Alsaeedp, M.I. Nelson, M. Edwards, and A. Msmali.
A mathematical model for the activated
sludge process with a sludge disintegration unit.
Chemical Product and Process Modeling,
2022.
https://doi.org/10.1515/cppm-2021-0064.
- T. Luangwilai, H.S. Sidhu, and M.I. Nelson.
Inclusion of biological
and chemical self-heating processes in compost piles model: A semenov
formulation.
International Journal of Bifurcation and Chaos,
2230027, 2022.
https://doi.org/10.1142/S0218127422300270.
- M.I. Nelson, J. Brindley, and A.C. McIntosh.
Letter to the Editor: Response. Fire Safety Journal,
25(4): 357-360, November
1996.
- M.I. Nelson.
A Dynamical Systems Model of Autoignition in the
Cone Calorimeter.
In Fire Safety Science: Proceedings of the Fifth
International Symposium, pages 547-558.
International Association for Fire Safety Science,
1997.
ISBN 4-9900625-5-5.
http://dx.doi.org/10.3801/IAFSS.FSS.5-547
- H.S. Sidhu, M.J. Sexton, M.I. Nelson, G.N. Mercer, and R.O. Weber.
A simple combustion process in a semibatch reactor.
In R.L. May, G.F. Fitz-Gerald, and I.H. Grundy, editors, EMAC
2000 Proceedings, pages 251--254. The Institution of Engineers,
Australia, 2000.
ISBN 085825 705X.
- N. Waterhouseu,
H.S. Sidhu and M.I. Nelson.
Polymer combustion: The critical mass flux model. In
M. Pemberton, I. Turner, and P. Jacobs, editors, EMAC 2002
Proceedings, pages 231--236. The Institution of Engineers, Australia,
2002. ISSN 1447-378X.
- R.O. Weber, M.I. Nelson, and S. Gay.
Modelling wine production.
In M. Pemberton, I. Turner, and P. Jacobs, editors, EMAC 2002
Proceedings, pages 237--240. The Institution of Engineers,
Australia,
2002. ISSN 1447-378X.
- M.J. Sexton, H.S. Sidhu, and M.I. Nelson.
Numerical
Investigation of a Reaction in a Batch Reactor:
Flammability Limits.
The ANZIAM Journal, 44(E):
C687-C704,
2003.
Download the paper from
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/702.
- M.I. Nelson and H.S. Sidhu.
Improving the Productivity of Bioreactors using
Natural Oscillations. In R.L. May, and W.F. Blyth, editors,
EMAC 2003 Proceedings, pages 163--168.
Engineering Mathematics Group, ANZIAM,
2003. ISBN 1-86365-533-6.
- M.I. Nelson and H.S. Sidhu.
Efficient Means of Determining Product Yields in Reactors.
In Proceedings of the 31st Australasian Chemical
Engineering Conference, CHEMECA 2003,
6 pages (on CDROM),
2003.
ISBN 0-86396-829-5.
- H.S. Sidhu and M.I. Nelson.
Improving Bioreactor Performance: Are Two CSTBs Always Better Than
One? In Proceedings of the 33rd Australasian Chemical
Engineering Conference, CHEMECA 2005,
6 pages (on CDROM).
Institute of Engineers, Australia,
2005.
ISBN 1-86499-832-6.
- S.D. Watt, H.S. Sidhu, and M.I. Nelson.
Analysis
of a model for the treatment of wastewater by the activated
sludge process.
The ANZIAM Journal, 47:
C1-C18,
2006.
http://anziamj.austms.org.au/V47EMAC2005/Watt/home.html.
- H.S. Sidhu, S.D. Watt and M.I. Nelson.
Activated sludge wastewater treatment process: Performance
comparison between a two-reactor cascade and a single tank.
In D. Patterson & B. Young, editors,
Proceedings of the 34th Australasian Chemical
Engineering Conference, CHEMECA 2006,
6 pages (on CDROM).
CCE Conference Management, The University of Auckland, New Zealand,
2006.
ISBN 0-86869-110-0.
- H.S. Sidhu, M.I. Nelson, N.A. Ansari and X.D. Chen.
Mathematical analysis of self-heating in compost piles.
In D. Patterson & B. Young, editors,
Proceedings of the 34th Australasian Chemical
Engineering Conference, CHEMECA 2006,
6 pages (on CDROM).
CCE Conference Management, The University of Auckland, New Zealand,
2006.
ISBN 0-86869-110-0.
- Elahe Aminifarp, Richard Caladine,
Anne Porter and Mark I. Nelson.
Online Solutions to Mathematical Problems: Combining Video, Audio and
Stills on the Web .
In T.C. Reeves and S.F. Yamashita, editors,
Proceedings of E-Learn 2006. World Conference on E-Learning in
Corporate, Government, Healthcare & Higher Education,
pages 2-8 (on CDROM),
Association for the Advancement of Computing in Education,
2006. ISBN 1-880094-60-6
- H.S. Sidhu, M.I. Nelson and X.D. Chen.
A simple spatial model for self-heating compost piles.
ANZIAM Journal E, 48, C135-C150,
2007.
http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/86
- E. Aminifarp,
A. Porter, R. Caladine and M.I. Nelson.
Creating mathematical learning resources --- combining audio and
visual components.
ANZIAM Journal E 47, pp C934-C955,
2007.
http://anziamj.austms.org.au/V47EMAC2005/Aminifar/home.html.
- S.D. Watt, H.S. Sidhu, M.I. Nelson and A.K. Ray.
Analysis of a model for
ethanol production through continuous fermentation.
ANZIAM Journal E (EMAC2007), 49,
C85-C99, 2007.
http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/322.
- H.S. Sidhu and M.I. Nelson.
Mathematical analysis of the activated sludge process for domestic
wastewater treatment.
In Proceedings of the 35th Australasian Chemical
Engineering Conference, CHEMECA 2007, pages 712-720 (on CDROM),
Engineers Australia, 2007.
ISBN 0-858-25844-7.
- M.I. Nelson, H.S. Sidhu and X.D. Chen.
A spatially uniform model of oxidative self-heating in compost
piles.
In Proceedings of the 35th Australasian Chemical
Engineering Conference, CHEMECA 2007, pages 1673-1683 (on CDROM),
Engineers Australia, 2007.
ISBN 0-858-25844-7.
- S.D. Watt, H.S. Sidhu, M.I. Nelson and A.K. Ray.
Improving ethanol production through continuous fermentation.
In Proceedings of the 35th Australasian Chemical
Engineering Conference, CHEMECA 2007, pages 1862-1869 (on CDROM),
Engineers Australia, 2007.
ISBN 0-858-25844-7.
- E. Aminifarp,
R. Caladine, A. Porter and M.I. Nelson.
Beyond Videoconference: Increased Functionality to Enhance Media-Rich
Interactions in Teaching and Learning.
In G. Richards (Editor), Proceedings of World Conference on
E-Learning in Corporate, Government, Healthcare, and Higher Education
2007, pages 6985-6990, Association for the Advancement of Computing
in Education, Chesapeake, VA, USA,
2007.
- A. Porter, M.I. Nelson,
E. Aminifarp, G. Williams,
and R. Caladine.
Access grid rooms: the plan, the
reality. In C.S. Lim, S. Fatimah, G. Munirah, S. Hajar, M.Y. Hashimah,
W.L. Gan, and T.Y. Hwa, editors, Proceedings of the 4th East Asia
Regional Conference on Mathematics Education 2007 (EARCOME 4), pages
285--291. School of Educational Studies, Universiti Sains Malaysia,
2007.
ISBN 978-983-2700-45-46.
- R. Hudsonp, A. Porter and
M. Nelson.
Encouraging Mathematics Teachers to Integrate Technology in Teaching and
Learning: Professional Development a Key Factor.
In C. Crawford et al. (Eds.), Proceedings of Society for
Information Technology and Teacher Education International Conference
2007, pages 3246-3253,
Association for the Advancement of Computing
in Education, Chesapeake, VA, USA,
2007.
- H.S. Sidhu, J. Kavanagh, S.D. Watt and M.I. Nelson.
Performance Evaluation of Ethanol Production Through
Continuous Fermentation.
In Proceedings of the 36th Australasian Chemical
Engineering Conference, CHEMECA 2008, pages 590-599 (on CDROM),
Engineers Australia, 2008.
ISBN 85825-823-4.
- M.I. Nelson, H.S. Sidhu and A.A. Adesina.
An Operational Model for a Well-Stirred Membrane Bioreactor:
Reactor Performance Analysis.
In Proceedings of the 36th Australasian Chemical
Engineering Conference, CHEMECA 2008, pages 1566-1574 (on CDROM),
Engineers Australia, 2008.
ISBN 85825-823-4.
- M.I. Nelson, H.S. Sidhu and X.D. Chen.
The
passage of food through animal stomachs: A chemical reactor
engineering approach.
In Proceedings of the 36th Australasian Chemical
Engineering Conference, CHEMECA 2008, pages 533-542 (on CDROM),
Engineers Australia, 2008.
ISBN 85825-823-4.
- M.S. Mahmudp,
J.W. Ryanu,
C.G. Cooperu, T. Safinski,
M. Nelson, H.S. Sidhu and
A.A. Adesina.
Kinetic
Analysis of Oleic Acid Esterification Using Lipolytic Enzyme
As Catalyst. In Proceedings of the 36th Australasian Chemical
Engineering Conference, CHEMECA 2008, pages 1382-1392 (on CDROM),
Engineers Australia, 2008.
ISBN 85825-823-4.
- R. Hudsonp, A. Porter and
M. Nelson.
Barriers to Using ICT in Mathematics Teaching: Issues in Methodology.
In Proceedings of ED-MEDIA 2008,
World Conference on Educational Multimedia, Hypermedia &
Telecommunications, pages 5765-5700,
Association for the Advancement of Computing
in Education, Chesapeake, VA, USA,
2008.
- R. Hudsonp, A. Porter and
M. Nelson.
The View of Secondary School Mathematics Teachers in Australia regarding
the use of Technology in the Classroom.
In Proceedings of ED-MEDIA 2008, World Conference on
Educational Multimedia, Hypermedia & Telecommunications,
pages 5711 - 5777,
Association for the Advancement of Computing
in Education, Chesapeake, VA, USA,
2008.
- M.S. Mahmudp, T. Safinski,
M. Nelson, H.S. Sidhu and
A.A. Adesina.
Kinetic
Analysis of Oleic Acid Esterification Using Lipase as Catalyst in a
Microaqueous Environment, Proceedings 8th World Congress of Chemical
Engineering, paper DNC3ZU (on USB key).
2009.
- T. Luangwilaip, H.S. Sidhu
M.I. Nelson and X.D. Chen.
Biological
self-heating of compost piles with air flow.
In Proceedings of the 37th Australasian Chemical
Engineering Conference, CHEMECA 2009, (on CDROM),
Engineers Australia, 2009.
ISBN 978-0858259225.
- A.H. Msmalip and
M.I. Nelson.
A model for
incomplete mixing in a bioreactor.
In Proceedings of the 38th Australasian Chemical
Engineering Conference, CHEMECA 2010, (on CDROM),
Engineers Australia, 2010.
ISBN 978-085-825-9713.
- R. van Bentumu,
M.I. Nelson, X.D. Chen and G. O'Brien.
The pH
profile of the human stomach.
In Proceedings of the 38th Australasian Chemical
Engineering Conference, CHEMECA 2010, (on CDROM),
Engineers Australia, 2010.
ISBN 978-085-825-9713.
- R. Hudsonp, A. Porter and
M. Nelson.
Statistical Analysis Model Predicting Computer Use in Mathematics. In
S. Barton et al. (Eds.), Proceedings of Global Learn Asia Pacific
2011, pages 712-720, Association for the Advancement of Computing
in Education, Chesapeake, VA, USA,
2011.
- M. Hsieh p, S.W. McCue, T.J. Moroney and
M.I. Nelson.
Drug diffusion from polymeric delivery devices: a problem
with two moving boundaries.
In W.~McLean and A.~J. Roberts, editors,
Proceedings of the 15th Biennial Computational Techniques and
Applications Conference, CTAC-2010,
volume~52 of ANZIAM J., pages C549--C566, August
2011.
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/3940
[August 3, 2011].
- T. Luangwilaip,
H.S. Sidhu, M.I. Nelson
and X.D. Chen.
The Semenov Formulation of the Biological Self-Heating Process
in Compost Piles.
In P.~Howlett, M.~Nelson, and A.~J. Roberts, editors,
Proceedings of the 9th Biennial Engineering Mathematics and Applications
Conference, EMAC-2009, volume~51 of
ANZIAM J., pages C425--C445, Jun
2010.
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/2439
[June 29, 2010].
- R.T. Alqahtani p,
M.I. Nelson and A.L. Worthy.
A mathematical analysis of continuous flow bioreactor models
governed by contois kinetics: A two reactor cascade.
In Proceedings of the Australasian Chemical Engineering
Conference, CHEMECA 2011, pages 1--11. Engineers Australia,
2011.
On CDROM. ISBN 978 085 825 9225.
- T. Luangwilai p, H.S. Sidhu,
M.I. Nelson, and X.D. Chen.
Modelling the
effects of moisture content in compost piles.
In Proceedings of the Australasian Chemical Engineering
Conference, CHEMECA 2011, pages 1--12. Engineers Australia,
2011.
On CDROM. ISBN 978 085 825 9225.
- A.H. Msmali p,
M.I. Nelson and J. Kavanagh.
The effect of incomplete mixing upon the performance of a
membrane-coupled anaerobic fermentor.
In Proceedings of the Australasian Chemical Engineering
Conference, CHEMECA 2011, pages 1--12. Engineers Australia,
2011.
On CDROM. ISBN 978 085 825 9225.
- M.I. Nelson and E. Balakrishnan.
An analysis of an activated sludge process containing a sludge
disintegration system.
In Proceedings of the Australasian Chemical Engineering
Conference, CHEMECA 2011, pages 1--11. Engineers Australia,
2011.
On CDROM. ISBN 978 085 825 9225.
- M.I. Nelson and E. Balakrishnan.
An analysis of an activated sludge process containing a sludge
disintegration system.
In F. Chan, D. Marinova, and R.S. Anderssen, editors, 19th
International Congress on Modelling and Simulation, MODSIM 2011, pages
331-337. Modelling and Simulation Society of Australia and New Zealand,
2011.
On CDROM. ISBN 978-0-9872143-1-7.
Download the paper from
http://www.mssanz.org.au/modsim2011/A3/nelson.pdf.
- R.T. Alqahtani p,
M.I. Nelson and A.L. Worthy.
A mathematical model for the biological treatment of industrial
wastewaters in a cascade of four reactors.
In F. Chan, D. Marinova, and R.S. Anderssen, editors, 19th
International Congress on Modelling and Simulation, MODSIM 2011, pages
256-262. Modelling and Simulation Society of Australia and New Zealand,
2011.
On CDROM. ISBN 978-0-9872143-1-7.
Download the paper from
http://www.mssanz.org.au/modsim2011/A3/alqahtani.pdf.
- B. Bukhatowa p, A.L. Porter and
M.I. Nelson.
Experience with change evaluations suggests the need for better learning
designs: one possibility for mathematics.
In S. Barton, J. Hedberg & K. Suzuki, editors,
Proceedings of Global Learn Asia Pacific 2011, pages
875-884. EDiTLib, USA.
2011.
- R.T. Alqahtani p,
M.I. Nelson and A.L. Worthy.
Analysis of a chemostat model with variable yield coefficient: Contois
kinetics.
In M. Nelson, M. Coupland, H. Sidhu, T. Hamilton and
A.J. Roberts, editors, Proceedings of the 10th Biennial Engineering
Mathematics and Applications Conference, EMAC 2011,
ANZIAM J, 53, pages
C155-C171.
2012.
Download the paper from
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5093
.
- T. Luangwilai p, H.S. Sidhu and
M.I. Nelson.
A two dimensional, reaction-diffusion model of compost piles.
In M. Nelson, M. Coupland, H. Sidhu, T. Hamilton and
A.J. Roberts, editors, Proceedings of the 10th Biennial Engineering
Mathematics and Applications Conference, EMAC 2011,
ANZIAM J, 53, pages
C34-C53.
2012.
Download the paper from
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5083
.
- A.H. Msmali p,
M.I. Nelson and M. Edwards.
The effect of incomplete mixing upon quadratic autocatalysis.
In M. Nelson, M. Coupland, H. Sidhu, T. Hamilton and
A.J. Roberts, editors, Proceedings of the 10th Biennial Engineering
Mathematics and Applications Conference, EMAC 2011,
ANZIAM J, 53, pages
C266-C279.
2012.
Download the paper from
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5105
.
- M.R. Alharthi p, T.R. Marchant and
M.I. Nelson.
Semi-analytical solutions
for cubic autocatalytic reaction-diffusion equations; the effect of a
precursor chemical.
In M. Nelson, M. Coupland, H. Sidhu, T. Hamilton and
A.J. Roberts, editors, Proceedings of the 10th Biennial Engineering
Mathematics and Applications Conference, EMAC 2011,
ANZIAM J, 53, pages
C511-C524.
2012.
Download the paper from
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5340
.
- A.H. Msmali p,
M.I. Nelson and M. Edwards.
The effect of incomplete mixing upon the Belousov-Zhabotinskii
reaction.
In Proceedings of the Australasian Chemical Engineering
Conference, CHEMECA 2012, pages 1--10. Engineers Australia,
2012.
On CDROM. ISBN 978 1 922107 59 6.
- T. Luangwilai p, H.S. Sidhu and
M.I. Nelson.
Understanding the role of moisture in the self-heating process
of compost piles.
In Proceedings of the Australasian Chemical Engineering
Conference, CHEMECA 2012, pages 1--13. Engineers Australia,
2012.
On CDROM. ISBN 978 1 922107 59 6.
- D. Mallet, M.I. Nelson,
A. Porter, A. Dekkers, M. Townley-Jones, I. Hudson, S. Belward, C. Coady,
and D. King.
Australian learning and
teaching council projects in the mathematical sciences: A retrospective.
.
In M. Nelson, M. Coupland, H. Sidhu, T. Hamilton and
A.J. Roberts, editors, Proceedings of the 10th Biennial Engineering
Mathematics and Applications Conference, EMAC 2011,
ANZIAM J, 53, pages
C576-C591, 2013.
Download the paper from
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5150
.
- A.O.M. Alharbi p,
M.I. Nelson, A.L. Worthy, and H.S. Sidhu.
Sludge formation in the activated sludge process: Mathematical analysis.
In Proceedings of the Australasian Chemical Engineering
Conference, CHEMECA 2013,
(
http://www.conference.net.au/chemeca2013/index.php)
pages 1--7. Chemical College, Engineers Australia,
2013.
Download the paper from
http://www.conference.net.au/chemeca2013/papers/29490.pdf.
CDROM. ISBN 978 1 922107 07 7.
- B. Bukhatwa p,
A.L. Porter, and M.I. Nelson.
Video resources for
supporting learning in mathematics rich disciplines: A teaching
perspective.
In Mark Nelson, Mary Coupland, Harvinder Sidhu, Tara Hamilton, and
A.J. Roberts, editors, Proceedings of the 10th Biennial
Engineering Mathematics and Applications Conference, EMAC-2011,
volume 53 of ANZIAM J., pages C606--C620, July
2013.
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5082
.
- Asma Alharbi p,
Mark Ian Nelson, Annette Worthy,
Harvinder Sidhu.
Sludge formation in the activated sludge process with a sludge
disintegration unit.
In Mark Nelson, Tara Hamilton, Michael Jennings and Judith
Bunder, editors, Proceedings of the 11th Biennial Engineering
Mathematics and Applications Conference, EMAC-2013,
volume 55 of ANZIAM J., pages C348--C367, August
2014.
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/7803
.
- W.L. Sweatman, G. Mercer, J. Boland, N. Cusimano, A. Greenwood,
K. Harley, P. van Heijster, P. Kim, J. Maisano,
M.I. Nelson, and G. Pettet.
Seaweed cultivation and the remediation of by-products from ethanol
production: a glorious green growth.
In T. Farrell and A.J. Roberts, editors, Proceedings of the
2014 Mathematics and Statistics in Industry Study Group, MISG-2014,
volume 56 of ANZIAM Journal,
pages M1--M29, May 2016.
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/9402
.
- M.M. Salehp and M.I. Nelson.
Maximizing product concentration in a diabatic multistage reactor.
In Mark Nelson, Dann Mallet, Brandon Pincombe, and Judith Bunder,
editors, Proceedings of the 12th Biennial Engineering Mathematics and
Applications Conference, EMAC-2015, volume
57 of ANZIAM J., pages C101--C124,
2016.
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/10387.
- F.S. Saadi, M.I. Nelson, and A.L Worthy.
Sludge disintegration model
with finite disintegration rate.
In Mark Nelson, Dann Mallet, Brandon Pincombe, and Judith Bunder,
editors, Proceedings of the 12th Biennial Engineering Mathematics and
Applications Conference, EMAC-2015,
volume 57 of ANZIAM J., pages
C346--C363,
2016.
http://dx.doi.org/10.21914/anziamj.v57i0.10385.
- M.I. Nelson, H.S. Sidhu, and F. Hai.
Investigating the performance of the activated sludge model (number
1).
In Chemical Engineering - Regeneration, Recovery and
Reinvention: CHEMECA 2016, pages 1067-1078,
2016.
On CDROM. ISBN 978-1-922107-83-1.
- T. Luangwilai, H.S. Sidhu and M.I. Nelson.
Understanding the effects
of ambient humidity on the self-heating of compost piles.
In, Proceedings of the Australasian Chemical Engineering Conference,
Chemeca 2018, Engineers Australia,
2018.
- T.A. McLennan-Smith, M. Nelson, Z. Jovanoski, M. Rodrigo,
and H.S. Sidhu.
Stochastic processes in a
discrete model of ground combat.
In S. Elsawah, editor, 23rd International Congress on Modelling
and Simulation, pages 116--122. Modelling and Simulation
Society of Australia and New Zealand,
2019 ISBN 978-0-9758400-9-2.
https://doi.org/10.36334/modsim.2019.A5.mclennansmith.
- M.I. Nelson and F.I. Hai.
Nitrogen removal in a cascade of four reactors employing the
activated sludge process.
In S. Elsawah, editor, 23rd International Congress on Modelling
and Simulation, pages 130-136.
Modelling and Simulation Society of Australia and New Zealand,
2019.
ISBN 978-0-9758400-9-2.
https://doi.org/10.36334/modsim.2019.A5.nelson.
- M. Berryp, M.I. Nelson, B. Monaghan and B. Whale.
The effects
of oscillating boundary conditions on thermal ignition.
In Christopher C. Tisdell, Zlatko Jovanoski, William Guo, Judith Bunder
editors, Proceedings of the 14th Biennial Engineering Mathematics and
Applications Conference, EMAC-2019,
volume 61 of ANZIAM J., pages
C45--C48,
2020.
https://doi.org/10.21914/anziamj.v61i0.15035 .
- T. Luangwilai, H.S. Sidhu, and M.I. Nelson.
Understanding the
factors affecting the self-heating process of compost piles:
Two-dimensional analysis.
In A. Clark, Z. Jovanoski, and J. Bunder, editors,
Proceedings of the 15th Biennial Engineering Mathematics and
Applications Conference, EMAC-2021, volume
63 of ANZIAM J., pages
C15-C29, 2022
https://doi.org/10.21914/anziamj.v63.17119 .
- A.H. Msmali, M.I. Nelson, and F.S. Al Saadi.
Treating cancerous cells
with a continuous release of virus particles.
In A. Clark, Z. Jovanoski, and J. Bunder, editors,
Proceedings of the 15th Biennial Engineering Mathematics and
Applications Conference, EMAC-2021, volume
63 of ANZIAM J., pages
C195-C207, 2022.
https://doi.org/10.21914/anziamj.v63.17108 .
- M. Berry, M. Nelson, M. Moores, B. Monaghan, and
R. Longbottom.
Using inert hot-spots
to induce ignition within industrial stockpiles.
In A. Clark, Z. Jovanoski, and J. Bunder, editors,
Proceedings of the 15th Biennial Engineering Mathematics and
Applications Conference, EMAC-2021, volume
63 of ANZIAM J., pages
C182--C194, 2022.
https://doi.org/10.21914/anziamj.v63.17157 .
- M.I. Nelson and F.I. Hai.
Biological
self-heating in industrial compost piles: an informal discussion of
students applying prior mathematical skills within an
industrial case study.
In A. Clark, Z. Jovanoski, and J. Bunder, editors,
Proceedings of the 15th Biennial Engineering Mathematics and
Applications Conference, EMAC-2021, volume
63 of ANZIAM J., pages
C208--C221, 2022.
https://doi.org/10.21914/anziamj.v63.17076 .
- M.I. Nelson, H.S. Sidhu and A.A. Adesina.
An operational model for a well-stirred membrane bioreactor:
reactor performance analysis.
Accepted,
for publication in
Applied Mathematics Letters, November 2009.
- M.I. Nelson.
The Autoignition of Thermoplastics in the Cone
Calorimeter: A Dynamical Systems Model. In
Proceedings of the 16th International
Colloquium on the Dynamics of Explosions and Reactive Systems,
pages 494-497. Wydawnictwo,, Akapit'' (Kraków, Poland),
1997. ISBN 83-7108-028-X.
- Graeme Wake and Mark Nelson.
Preface to ``Mathematical Modelling of Nonlinear Systems: A Tribute
to Professor John Brindley''.
Mathematical and Computer Modelling, 36(3),
page xiii, 2002.
- Graeme Wake and Mark Nelson.
Forward. A Tribute to Professor John Brindley, Large Research Professor,
University of Leeds, U.K.
.
Mathematical and Computer Modelling, 36(3),
page xv-xvi, 2002.
- M.I. Nelson.
NSW ANZIAM 2003 Branch
Meeting.
The Australian Mathematical Society Gazette,
31(1): 63, 2004.
- M.I. Nelson and B.R. Young.
Editorial: Special Issue Contributed from CHEMECA 2006 - Australasian
Process Modelling and Control Selected Papers. (2007)
Chemical Product and Process Modelling,
2, Issue 2, Article 1.
http://www.bepress.com/cppm/vol2/iss2/1.
-
M.I. Nelson,
B. Young and H.S. Sidhu.
Editorial: Special Issue Contributed from CHEMECA 2008 -
Mathematical Modeling.
Chemical Product and Process Modelling,
4, Issue 3, Article 1, 2009.
http://www.bepress.com/cppm/vol3/iss3/1.
- M.I. Nelson.
(2008) ACT/NSW ANZIAM
meeting.
The Australian Mathematical Society Gazette,
36(1), 28-29, 2009, The Australian Mathematical Society.
- Andrew Metcalfe, Phil Howlett, Mark Nelson and
Anthony Roberts.
Preface to the
Proceedings of the EMAC 2009.
ANZIAM Journal, 51(0), 2009.
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/2909 .
- G. Cox and M.I. Nelson.
Report on NSW ANZIAM
2009.
The Australian Mathematical Society Gazette,
31(1), 63, 2010, The Australian Mathematical Society.
- N. Thamwattana and M.I. Nelson.
Report on the 2010 NSW
ANZIAM meeting.
The Australian Mathematical Society Gazette,
38(5), 269-270, 2010, The Australian Mathematical Society.
- Mark Nelson, Anthony Roberts, Mary Coupland, Tara
Hamilton and Harvinder Sidhu.
Preface to the
Proceedings of the Engineering Mathematics and Applications Conference.
ANZIAM Journal, 53(0), 2012.
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5172
.
- Mark Nelson, Judith Bunder, Tara Hamilton, and Michael Jennings, editors.
Proceedings of the 11th Engineering Mathematics and Applications
Conference, volume 55 of ANZIAM Journal, 2014.
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/8470.
- P. Broadbridge, M. Nelson and J.~Wang.
Editorial: Mathematical methods for applications.
\newblock \emph{The ANZIAM Journal}, 58\penalty0 (3-4):\penalty0 209--–210,
2017.
\newblock \doi{10.1017/S1446181117000086}.
- Co-editor with Dr Tonghua Zhang of special issue of
Mathematical Biosciences and Engineering on
the topic: ``Advances in Mathematical Modelling and Analysis of
Bioprocesses'', 2020.
https://aimspress.com/mbe/article/5560/special-articles
.
- Mark I. Nelson and Rodney O. Weber.
Editorial: Special issue
celebrating the achievements of Professor
G.C. Wake. The ANZIAM Journal,
62(4): 353-354,
2020.
doi: 10.1017/S1446181121000067.
- M.I. Nelson.
Flammability limits in closed vessel experiments: A Semenov model.
Submitted, 2000.
- M.I. Nelson and X.D. Chen.
Heterogeneously catalysed combustion in a
continuously stirred tank reactor. II Autothermal behaviour in low
temperature reactions.
Submitted, 2000.
- M.I. Nelson, R.O. Weber and A.G. Tate.
Modelling of Open Vat Red Wine Fermenters.
Submitted,
2002.
- X.D. Chen and M.I. Nelson.
Modelling Air-Drying of Coal Particles - A New
Biot and Lewis Number Analysis.
Submitted, 2005.
- S.D. Watt, H.S. Sidhu, M.I. Nelson, A.K. Ray.
Analysis of a
model for ethanol production through continuous fermentation in
multiple tanks.
Submitted,
2008.
- M.I. Nelson and H.S. Sidhu.
Flammability limits of an oxidation reaction in a batch reactor.
Submitted,
2008.
Submitted,
2008.
- M.I. Nelson and H.S. Sidhu.
Flammability limits of an oxidation reaction in a batch reactor.
Submitted,
2008.
- S.D. Watt, H.S. Sidhu, M.I. Nelson, A.K. Ray.
Analysis of a
model for ethanol production through continuous fermentation in
multiple tanks.
Submitted,
2008.
- M.I. Nelson and H.S. Sidhu.
Flammability limits of an oxidation reaction in a batch reactor.
Submitted,
2008.
Submitted,
2008.
- M.I. Nelson and H.S. Sidhu.
Flammability limits of an oxidation reaction in a batch reactor.
Submitted,
2008.
- M.I. Nelson, H.S. Sidhu and A.A. Adesina.
Analysis of an immobilised enzyme reactor model.
Submitted,
2008.
- Rodney Van Bentumu
and Mark Ian Nelson.
The Passage of Food Through an Animal Stomach: A case Study for
first-year calculus students.
Submitted,
2009.
- R.T. Alqahtani p,
M.I. Nelson and A. Worthy.
The biological treatment of industrial wastewater: Contois kinetics.
Submitted,
2011.
- X.D. Chen, H.S. Sidhu and
M.I. Nelson.
Unique properties of dimensionless crossing-point-temperature (CPT)
versus Frank-Kamenetskii Reactivity Parameter in Transient Self-Heating
Test.
Submitted,
2011.
- M.I. Nelson and E. Balakrishnan,
An analysis of an activated sludge process containing a sludge
disintegration unit.
Submitted,
2011.
- M.I. Nelson and T.C.L.
Yuem.
A mathematical analysis of a membrane bioreactor containing a sludge
disintegration system.
Submitted,
2012.
- S. Qian, P. Yu, D. Hailey, P. Davy & M.I. Nelson.
How personal carers spend their time on direct care
activities in two Australian nursing homes: a time-motion study.
Submitted,
2012.
4, Number 3, 2009.
(`Papers from Chemeca
2008).
- Editor (with A. Metcalfe, P. Howlett and A.J. Roberts) of
Proceedings Engineering Mathematics and Applications Conference
2009, 2010.
(
ANZIAM J. 51(E)).
- Editor (with A.J. Roberts, M. Coupland, T.J. Hamilton and H.S. Sidhu) of
Proceedings Engineering Mathematics and Applications Conference
2011, 2011.
(
ANZIAM J. 53(E)).
- Zombies & Calculus. Colin Adams. Princeton University Press, 2014.
ISBN 978-0-6911-6190-7. Reviewed in
Gazette of the Australian Mathematical Society,
42, 3, 181--183, 2015.
Link to the book review section.
- Biomolecular Feedback Systems.
Domitilla del Vecchio and Richard M. Murray .
Princeton University Press, 2015.
ISBN 978-0-691-16153-2. Reviewed in
Gazette of the Australian Mathematical Society,
43, 3, 185--191, 2016.
Link to the book review section.
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Last Updated: 17th February 2023.