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
selfheating 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 3183, 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,
95107,
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 3843. 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 5366. Springer,
Singapore,
2018.
"https://doi.org/10.1007/9789811078118_7.
 M.I. Nelson, J. Brindley, and A.C. McIntosh.
A Mathematical Model of Ignition in the Cone Calorimeter.
Combustion Science and Technology,
104:3554,
1995.
 M.I. Nelson and J. Brindley.
Modelling CharFormation in Isothermal and
NonIsothermal Thermogravimetric Experiments.
Thermochimica Acta,
258:175188, 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):107130,
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,
113114:221241,
1996.
 M.I. Nelson, J. Brindley, and A.C. McIntosh.
Polymer Ignition.
Mathematical and Computer Modelling,
24(8):3946,
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(23):255267,
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): 6794, 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):789814,
March 1998.
 E. Balakrishnan, M.I. Nelson, and G.C. Wake.
Radiative Ignition of Combustible Materials I.
Polymeric Materials Undergoing NonFlaming Thermal Degradation 
The Critical Storage Problem.
Mathematical and Computer Modelling,
30(1112):177195, December
1999.
 M.I. Nelson and J. Brindley.
Polymer Combustion: Effects of Flame Emissivity.
Philosophical Transactions of the Royal Society
of London Series A,
357:36553673, 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):127, March
2000.
 M.I. Nelson.
Comparison Theorems for Multicomponent Diffusion Systems:
Developments since 1961.
Journal of Applied Mathematics and Decision Sciences,
4(2):151163,
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):353375,
2000.
 M.I. Nelson.
A dynamical systems model of the limiting oxygen index test.
II Retardancy due to charformation and addition of inert fillers.
Combustion Theory and Modelling,
5(1): 5983, March
2001.
 M.I. Nelson, G.C. Wake, X.D. Chen, and E. Balakrishnan.
The multiplicity of steadystate solutions arising
from microwave heating:
I Infinite biot number and small penetration depth.
The ANZIAM Journal,
43(1): 87103,
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): 105117,
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),
399427, 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): 151164,
September 2001.
 M.I. Nelson.
Thermally thin materials with enhanced fireresistant
properties: A dynamical systems model.
Combustion Science and Technology,
167: 82112,
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): 155186, February
2002.
 M.I. Nelson, J. Brindley and A.C. McIntosh.
Ignition properties of thermally thin plastics: The effectiveness
of noncompetitive char formation in reducing flammability.
Journal of Applied Mathematics and Decision Sciences,
6(3): 155181,
2002.
 M.I. Nelson, E. Balakrishnan, and X.D. Chen.
A Semenov model of selfheating in compost piles.
Transactions of IChemE Part B: Process Safety and
Environmental Protection.
81(B), 375383,
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), 303326,
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),
119129, February
2004.
http://dx.doi.org/10.1023/B:JOMC.0000014308.66514.e7.
 T.R. Marchant and M.I. Nelson.
Semianalytical solutions for one and twodimensional
pellet problems.
Proceedings of the Royal Society of London A,
460, 23812394,
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), 399416, March
2005.
http://dx.doi.org/10.1017/S1446181100008348.
 H.S. Sidhu and M.I. Nelson.
Behaviour of an elementary oxidation reaction in a
semibatch reactor.
Chemical Engineering Journal,
110(13), 3139,
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): 605615,
2005.
 M.I. Nelson, X.D. Chen and M.J. Sexton.
Analysis of
the MichaelisMenten mechanisms in an immobilised enzyme reactor.
The ANZIAM Journal, 47(2): 173184,
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):
31593166,
2006.
http://dx.doi.org/10.1016/j.ces.2005.12.007.
 R.O. Weber, H.S. Sidhu, D.M. Sawade^{u},
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, 185200,
2006.
http://dx.doi.org/10.1007/s1066500690599.
 M.I. Nelson and H.S. Sidhu.
Reducing the emission of pollutants in food processing wastewaters.
Chemical Engineering & Processing,
46(5), 429436, May
2007.
http://dx.doi.org/10.1016/j.cep.2006.04.012.
 H.S. Sidhu, M.I. Nelson,
T. Luangwilai^{u} and
X.D. Chen.
Mathematical Modelling of the SelfHeating 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. Kar^{p},
X.D. Chen and M.I. Nelson.
Directcontact heat transfer coefficient for condensing
vapor bubble in stagnant liquid pool.
Chemical Engineering Research and Design
85(A3), 320328,
2007.
http://dx.doi.org/10.1205/cherd06030.
 M.I. Nelson, T.R. Marchant, G.C. Wake, E. Balakrishnan,
and X.D. Chen.
Selfheating in compost piles due to biological effects.
Chemical Engineering Science 62(17),
46124618,
2007.
http://dx.doi.org/10.1016/j.ces.2007.05.018.
 M.I. Nelson, T. Kerr^{u}
and X.D. Chen.
A fundamental
analysis of continuous flow bioreactor and membrane reactor models
with death and maintenance included.
AsiaPacific Journal of Chemical Engineering,
3(1), 7080,
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),
866871, 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,
521528, 2008.
http://dx.doi.org/10.1016/j.cej.2007.11.035.
 M.I. Nelson, J.L. Quigley^{u}
and X.D. Chen.
A fundamental analysis of continuous flow bioreactor and membrane reactor
models with noncompetitive product inhibition
AsiaPacific Journal of Chemical Engineering,
4(1), 107117,
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, 629635,
2009.
http://dx.doi.org/10.1016/j.aml.2008.05.003.
 M.I. Nelson and A. Holder^{u}.
A fundamental analysis of continuous flow bioreactor models
governed by Contois kinetics. II. Reactor cascades.
Chemical Engineering Journal, 149 (13),
406416, 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), 303321,
2009.
http://dx.doi.org/10.1007/s1091000894637.
 H.S. Sidhu, S.D. Watt, and M.I. Nelson.
Performance comparison between a tworeactor cascade and a single
tank in an Activated Sludge Wastewater Treatment Process.
International Journal of Environment and Waste
Management, 3(3/4), 214225
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), 10711078.
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
selfheating of compost piles.
AsiaPacific Journal of Chemical Engineering,
5(4), 609618,
2010.
http://dx.doi.org/10.1002/apj.438.
 T. Luangwilai^{p},
H.S. Sidhu, M.I. Nelson
and X.D. Chen.
Using Singularity
Theory to Analyse a Spatially Uniform Model of SelfHeating in Compost
Piles.
EastWest Journal of Mathematics, Contributions in
Mathematics and Applications III: 328343,
2010.
 Rodney Van Bentum^{u}
and Mark Ian Nelson.
Modelling the Passage of Food Through an Animal Stomach: a Chemical
Reactor Engineering Approach.
Chemical Engineering Journal, 166(1),
315323,
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 solventdependent
drugdiffusion through polymeric spheres.
SIAM Journal on Applied Mathematics,
71(6), 22872311,
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 multicomponent particle, and the surface chemical
composition after the rapid removal of water in spray drying.
Chemical Engineering Science,
66(24):63756384,
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),
417433,
2012.
http://dx.doi.org/10.1080/00986445.2010.525155.
 R.T. Alqahtani^{p}.
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,
422432, 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
noncompetitive product inhibition. II. Exponential inhibition.
AsiaPacific Journal of Chemical Engineering,
7(1), 2432, 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
noncompetitive product inhibition. III. Linear inhibition.
AsiaPacific Journal of Chemical Engineering,
7(3), 343352,
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: Semianalytical
solutions.
Dynamics of Continuous, Discrete and Impulsive Systems
Series B: Applications & Algorithms,
19, 579586,
2012.
 SY Qian ^{p}, P. Yu, ZY Zhang,
D.M. Hailey, P.J. Davy and
M.I. Nelson.
The work pattern of personal care workers in two Australian nursing homes:
a timemotion study.
BMC Health Services Work, 12, 305,
2012.
http://dx.doi.org/10.1186/1472696312305.
 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,
99107,
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):273290,
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 selfheating in compost piles: A Semenov formulation.
Chemical Engineering Science, 101:533542,
2013.
 X.D. Chen^{m}, 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: 15041512,
2013.
http://www.tandfonline.com/doi/full/10.1080/07373937.2013.780247.
 X.D. Chen^{m}, H. Sidhu, and M. Nelson.
A linear relationship between
dimensionless crossingpointtemperature and FrankKamenetskii reactivity parameter
in selfheating test at infinite Biot number for slab geometry.
Fire Safety Journal, 61: 138143,
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, 20832088,
2013.
 H.Y. Alfifi^{p},
T.R. Marchant, and M.I. Nelson.
Semianalytical solutions
for the 1 and 2D diffusive Nicholson's blowflies equation.
IMA Journal of Applied Mathematics,
79, Number 1,
175199,
2014.
http://imamat.oxfordjournals.org/content/79/1/175.abstract.html?etoc
.
 S. Qian^{p}, 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 timemotion study.
Australian Health Review, 38, 230237,
2014.
http://www.publish.csiro.au/?paper=AH13161
 M.I. Nelson and
T.C.L. Yue^{m}.
A Mathematical Analysis of a
Membrane Bioreactor Containing a Sludge Disintegration System .
Chemical Engineering Communications,
201(10): 13841403,
2014.
DOI: 10.1080/00986445.2013.809001.
 Ahmed Hussein Msmali^{p},
Mark I. Nelson and
Maureen P. Edwards.
Quadratic autocatalysis with
nonlinear decay.
Journal of Mathematical Chemistry,
52(8): 22342258,
2014.
http://dx.doi.org/10.1007/s1091001403825.
 M.R. Alharthi^{p}, T.R. Marchant
and M.I. Nelson.
Mixed quadraticcubic
autocatalytic reactiondiffusion equations: Semianalytical solutions
.
Applied Mathematical Modelling,
38(2122), 51605173.
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 StepFeed Reactor Cascade for Biological
Processes Described by Monod Kinetics,
Chemical Product and Process Modelling,
9,
2014.
http://dx.doi.org/10.1515/cppm20140022.
Trackable link:
https://goo.gl/bVRvTi.
 R.T. Alqahtani^{p},
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), 332344,
2015.
http://dx.doi.org/10.1080/00986445.2013.836630.
Trackable link:
https://goo.gl/8b69FR.
 R.T. Alqahtani^{p},
M.I. Nelson and A.L. Worthy.
A Biological Treatment of Industrial
Wastewaters: Contois Kinetics.
ANZIAM J,
56(4), 397415,
2015.
2015.
http://dx.doi.org/10.1017/S144618111500005X.
 M.I. Nelson and E. Balakrishnan.
Quadratic autocatalysis in an extended continuousflow stirred tank
reactor (ECSTR).
Applied Mathematical Modelling,
40(1), 363372,
2016.
http://dx.doi.org/10.1016/j.apm.2015.05.009.
 A.O.M. Alharbi^{p}, 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.
AsiaPacific Journal of Chemical Engineering,
10(4), 580597.
2015.
http://dx.doi.org/10.1002/apj.1906.
 M.R. Alharthi^{p}, T.R. Marchant
and M.I. Nelson.
Cubic autocatalysis in a reactiondiffusion annulus: semianalytical
solutions.
Zeitschrift für angewandte Mathematik und Physik,
67, article 65.
2016.
http://dx.doi.org/10.1007/s0003301606600.
 H.Y. Alfifi^{p}, T.R. Marchant, and
M.I. Nelson.
Nonsmooth feedback control
for BelousovZhabotinskii reactiondiffusion equations: semianalytical
solutions.
Journal of Mathematical Chemistry,
54:16321657,
2016.
http://dx.doi.org/10.1007/s1091001606418.
 R.T. Alqahtani, M.I. Nelson, Annette L. Worthy.
Sludge disintegration.
Applied Mathematical Modelling, 40:
78307843,
2016.
doi:10.1016/j.apm.2016.03.040.
 C.S. Ormerod^{p} 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): 12681281.
2017.
http://dx.doi.org/10.1080/0020739X.2017.1324116.
 G.U. Semblante, H.I. Hai, J. McDonald, S.J. Khan,
M. Nelson, DJ. Lee, W.E. Price, and L.D. Nghiem.
Fate of trace organic
contaminants in oxicsettlinganoxic (OSA)
process applied for biosolids reduction during wastewater
treatment.
Bioresource Technology, 240:
181191,
2017.
http://dx.doi.org/10.1016/j.biortech.2017.02.053.
 M.I. Nelson, P. Hagedoorn^{u},
and A.L. Worthy.
The demon drink.
ANZIAM Journal, 59(2): 135154,
2017.
http://dx.doi.org/10.1017/S1446181117000347.
 M.I. Nelson.
A mathematical model for
endproduct toxicity.
Chemical Product and Process Modelling,
13(3),
2018.
http://dx.doi.org/10.1515/cppm20170061.
 T. Luangwilai^{p},
H.S. Sidhu, and M.I. Nelson.
Onedimensional spatial model for selfheating in compost piles:
Investigating effects of moisture and air flow.
Food and Bioproducts Processing, 108:
1826,
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), 191229,
2018.
https://doi.org/10.1017/S1446181118000226.
 M.I. Nelson, H.S. Sidhu, S. Watt, and F.I. Hai.
Performance analysis of
the activated sludge model (number 1).
Food and Bioproducts Processing, 116,
4153, 2019.
https://doi.org/10.1016/j.fbp.2019.03.014
 Mark Ian Nelson and
Bronwyn H. BradshawHajek.
An analysis of organic carbon removal in a tworeactor cascade with
recycle and a tworeactor stepfeed cascade with recycle.
AsiaPacific 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 299309,
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, 141158
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), 91119129,
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, 115,
2022.
https://doi.org/10.1080/0020739X.2022.2088419.
 S.S. Alsaeed^{p}, 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/cppm20210064.
 T. Luangwilai, H.S. Sidhu, and M.I. Nelson.
Inclusion of biological
and chemical selfheating processes in compost piles model: A semenov
formulation.
International Journal of Bifurcation and Chaos,
2230027, 2022.
https://doi.org/10.1142/S0218127422300270.
 Carrin Goosen^{u}, Mark Ian Nelson
and Mahime Waranabe^{u}.
Applying the SIR model: can
students advise the mayor of a small community?
.
CODEE Journal, 17, Article 2,
2024.
https://scholarship.claremont.edu/codee/vol17/iss1/2.
 Fahad Al Saadi, E. Knobloch, M. Nelson, and H. Uecker.
Timedependent localized patterns
in a predatorprey model .
Chaos: An Interdisciplinary Journal of Nonlinear Science A,
34, Number 4,
043143,
2024.
https://doi.org/10.1063/5.0197808.
 S. Cuthbertson^{u} and
M.I. Nelson.
Modelling warfare between
vampires and humans: who wins?
International Journal of Mathematical Education in Science and
Technology, 0(0): 124,
2024.
https://doi.org/10.1080/0020739X.2024.2329346.
 M.I. Nelson, J. Brindley, and A.C. McIntosh.
Letter to the Editor: Response. Fire Safety Journal,
25(4): 357360, 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 547558.
International Association for Fire Safety Science,
1997.
ISBN 4990062555.
http://dx.doi.org/10.3801/IAFSS.FSS.5547
 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. FitzGerald, and I.H. Grundy, editors, EMAC
2000 Proceedings, pages 251254. The Institution of Engineers,
Australia, 2000.
ISBN 085825 705X.
 N. Waterhouse^{u},
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 231236. The Institution of Engineers, Australia,
2002. ISSN 1447378X.
 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 237240. The Institution of Engineers,
Australia,
2002. ISSN 1447378X.
 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):
C687C704,
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 163168.
Engineering Mathematics Group, ANZIAM,
2003. ISBN 1863655336.
 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 0863968295.
 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 1864998326.
 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:
C1C18,
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 tworeactor 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 0868691100.
 H.S. Sidhu, M.I. Nelson, N.A. Ansari and X.D. Chen.
Mathematical analysis of selfheating 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 0868691100.
 Elahe Aminifar^{p}, 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 ELearn 2006. World Conference on ELearning in
Corporate, Government, Healthcare & Higher Education,
pages 28 (on CDROM),
Association for the Advancement of Computing in Education,
2006. ISBN 1880094606
 H.S. Sidhu, M.I. Nelson and X.D. Chen.
A simple spatial model for selfheating compost piles.
ANZIAM Journal E, 48, C135C150,
2007.
http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/86
 E. Aminifar^{p},
A. Porter, R. Caladine and M.I. Nelson.
Creating mathematical learning resources  combining audio and
visual components.
ANZIAM Journal E 47, pp C934C955,
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,
C85C99, 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 712720 (on CDROM),
Engineers Australia, 2007.
ISBN 0858258447.
 M.I. Nelson, H.S. Sidhu and X.D. Chen.
A spatially uniform model of oxidative selfheating in compost
piles.
In Proceedings of the 35th Australasian Chemical
Engineering Conference, CHEMECA 2007, pages 16731683 (on CDROM),
Engineers Australia, 2007.
ISBN 0858258447.
 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 18621869 (on CDROM),
Engineers Australia, 2007.
ISBN 0858258447.
 E. Aminifar^{p},
R. Caladine, A. Porter and M.I. Nelson.
Beyond Videoconference: Increased Functionality to Enhance MediaRich
Interactions in Teaching and Learning.
In G. Richards (Editor), Proceedings of World Conference on
ELearning in Corporate, Government, Healthcare, and Higher Education
2007, pages 69856990, Association for the Advancement of Computing
in Education, Chesapeake, VA, USA,
2007.
 A. Porter, M.I. Nelson,
E. Aminifar^{p}, 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
285291. School of Educational Studies, Universiti Sains Malaysia,
2007.
ISBN 97898327004546.
 R. Hudson^{p}, 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 32463253,
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 590599 (on CDROM),
Engineers Australia, 2008.
ISBN 858258234.
 M.I. Nelson, H.S. Sidhu and A.A. Adesina.
An Operational Model for a WellStirred Membrane Bioreactor:
Reactor Performance Analysis.
In Proceedings of the 36th Australasian Chemical
Engineering Conference, CHEMECA 2008, pages 15661574 (on CDROM),
Engineers Australia, 2008.
ISBN 858258234.
 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 533542 (on CDROM),
Engineers Australia, 2008.
ISBN 858258234.
 M.S. Mahmudp,
J.W. Ryan^{u},
C.G. Cooper^{u}, 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 13821392 (on CDROM),
Engineers Australia, 2008.
ISBN 858258234.
 R. Hudson^{p}, A. Porter and
M. Nelson.
Barriers to Using ICT in Mathematics Teaching: Issues in Methodology.
In Proceedings of EDMEDIA 2008,
World Conference on Educational Multimedia, Hypermedia &
Telecommunications, pages 57655700,
Association for the Advancement of Computing
in Education, Chesapeake, VA, USA,
2008.
 R. Hudson^{p}, 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 EDMEDIA 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. Luangwilai^{p}, H.S. Sidhu
M.I. Nelson and X.D. Chen.
Biological
selfheating of compost piles with air flow.
In Proceedings of the 37th Australasian Chemical
Engineering Conference, CHEMECA 2009, (on CDROM),
Engineers Australia, 2009.
ISBN 9780858259225.
 A.H. Msmali^{p} 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 9780858259713.
 R. van Bentum^{u},
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 9780858259713.
 R. Hudson^{p}, 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 712720, 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, CTAC2010,
volume~52 of ANZIAM J., pages C549C566, August
2011.
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/3940
[August 3, 2011].
 T. Luangwilai^{p},
H.S. Sidhu, M.I. Nelson
and X.D. Chen.
The Semenov Formulation of the Biological SelfHeating Process
in Compost Piles.
In P.~Howlett, M.~Nelson, and A.~J. Roberts, editors,
Proceedings of the 9th Biennial Engineering Mathematics and Applications
Conference, EMAC2009, volume~51 of
ANZIAM J., pages C425C445, 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 111. 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 112. 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
membranecoupled anaerobic fermentor.
In Proceedings of the Australasian Chemical Engineering
Conference, CHEMECA 2011, pages 112. 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 111. 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
331337. Modelling and Simulation Society of Australia and New Zealand,
2011.
On CDROM. ISBN 9780987214317.
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
256262. Modelling and Simulation Society of Australia and New Zealand,
2011.
On CDROM. ISBN 9780987214317.
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
875884. 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
C155C171.
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, reactiondiffusion 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
C34C53.
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
C266C279.
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.
Semianalytical solutions
for cubic autocatalytic reactiondiffusion 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
C511C524.
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 BelousovZhabotinskii
reaction.
In Proceedings of the Australasian Chemical Engineering
Conference, CHEMECA 2012, pages 110. 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 selfheating process
of compost piles.
In Proceedings of the Australasian Chemical Engineering
Conference, CHEMECA 2012, pages 113. Engineers Australia,
2012.
On CDROM. ISBN 978 1 922107 59 6.
 D. Mallet, M.I. Nelson,
A. Porter, A. Dekkers, M. TownleyJones, 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
C576C591, 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 17. 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, EMAC2011,
volume 53 of ANZIAM J., pages C606C620, 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, EMAC2013,
volume 55 of ANZIAM J., pages C348C367, 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 byproducts 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, MISG2014,
volume 56 of ANZIAM Journal,
pages M1M29, May 2016.
http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/9402
.
 M.M. Saleh^{p} 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, EMAC2015, volume
57 of ANZIAM J., pages C101C124,
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, EMAC2015,
volume 57 of ANZIAM J., pages
C346C363,
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 10671078,
2016.
On CDROM. ISBN 9781922107831.
 T. Luangwilai, H.S. Sidhu and M.I. Nelson.
Understanding the effects
of ambient humidity on the selfheating of compost piles.
In, Proceedings of the Australasian Chemical Engineering Conference,
Chemeca 2018, Engineers Australia,
2018.
 T.A. McLennanSmith, 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 116122. Modelling and Simulation
Society of Australia and New Zealand,
2019 ISBN 9780975840092.
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 130136.
Modelling and Simulation Society of Australia and New Zealand,
2019.
ISBN 9780975840092.
https://doi.org/10.36334/modsim.2019.A5.nelson.
 M. Berry^{p}, 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, EMAC2019,
volume 61 of ANZIAM J., pages
C45C48,
2020.
https://doi.org/10.21914/anziamj.v61i0.15035 .
 T. Luangwilai, H.S. Sidhu, and M.I. Nelson.
Understanding the
factors affecting the selfheating process of compost piles:
Twodimensional analysis.
In A. Clark, Z. Jovanoski, and J. Bunder, editors,
Proceedings of the 15th Biennial Engineering Mathematics and
Applications Conference, EMAC2021, volume
63 of ANZIAM J., pages
C15C29, 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, EMAC2021, volume
63 of ANZIAM J., pages
C195C207, 2022.
https://doi.org/10.21914/anziamj.v63.17108 .
 M. Berry, M. Nelson, M. Moores, B. Monaghan, and
R. Longbottom.
Using inert hotspots
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, EMAC2021, volume
63 of ANZIAM J., pages
C182C194, 2022.
https://doi.org/10.21914/anziamj.v63.17157 .
 M.I. Nelson and F.I. Hai.
Biological
selfheating 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, EMAC2021, volume
63 of ANZIAM J., pages
C208C221, 2022.
https://doi.org/10.21914/anziamj.v63.17076 .
 Fahad Al Saadi and M.I. Nelson.
Combatting
Biofuel Toxicity Through Membrane Separation: Improving
the Production of Sustainable Aviation Fuels.
In Abid~Ali Khan, Mohammad~Sayeed Hossain, Mohammad Fotouhi, Axel
Steuwer, Anwar Khan, and Dilek~Funda Kurtulus
Proceedings of
the First International Conference on Aeronautical Sciences, Engineering and
Technology,
pages 296301, Singapore,
2024.
Springer Nature Singapore. ISBN 9789819977758.
https://doi.org/10.1007/9789819977758_31.
 M.I. Nelson, H.S. Sidhu and A.A. Adesina.
An operational model for a wellstirred 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 494497. Wydawnictwo,, Akapit'' (Kraków, Poland),
1997. ISBN 837108028X.
 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 xvxvi, 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), 2829, 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), 269270, 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.
The ANZIAM Journal, 58(34): 209210, 2017.
http://dx.doi.org/10.1017/S1446181117000086.
 Coeditor 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/specialarticles
.
 Mark I. Nelson and Rodney O. Weber.
Editorial: Special issue
celebrating the achievements of Professor
G.C. Wake. The ANZIAM Journal,
62(4): 353354,
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 AirDrying 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 Bentum^{u}
and Mark Ian Nelson.
The Passage of Food Through an Animal Stomach: A case Study for
firstyear 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 crossingpointtemperature (CPT)
versus FrankKamenetskii Reactivity Parameter in Transient SelfHeating
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.
Yue^{m}.
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 timemotion 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 9780691161907. Reviewed in
Gazette of the Australian Mathematical Society,
42, 3, 181183, 2015.
Link to the book review section.
 Biomolecular Feedback Systems.
Domitilla del Vecchio and Richard M. Murray .
Princeton University Press, 2015.
ISBN 9780691161532. Reviewed in
Gazette of the Australian Mathematical Society,
43, 3, 185191, 2016.
Link to the book review section.
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Last Updated: 27th May 2024.