Publications 
53. Luckins EK, Breward CJW, Griffiths IM, and Please CP (2024) The role of temperature and drying cycles on impurity deposition in drying porous media. Europhysics Letters. To appear.

52. Luckins EK, Breward CJW, Griffiths IM, and Please CP (2024) Mathematical Modelling of impiruty deposition during evaporation of dirty liquid in a porous material. J. Fluid Mech.. To appear.

51. Luckins EK, Breward CJW, Griffiths IM, and Please CP. (2023) The effect of porescale contaminant
distribution on the reactive decontamination
of porous media. Euro. J. Appl. Math. https://doi.org/10.1017/S0956792523000219 
50. Metherall B, Breward CJW, Oliver JM, Please CP, and Sloman BM. (2023) Modelling the reduction of quartz in a quartzcarbon pellet. J. Engrg Math., 141, 4. https://doi.org/10.1007/s10665023102774 . 
49. Luckins EK, Breward CJW, Griffiths IM, and Please CP. (2023) A homogenised model for the motion of
evaporating fronts in porous media. Euro J Appl Math. https://www.doi.org/10.1017/S0956792522000419. 
48. Kiradjiev KB, Breward CJW, and Griffiths IM. (2022) A model for the lifetime of a reactive filter. J Engrg Math. 133:11 https://doi.org/10.1007/s1066502210214x 
47. Breward CJW and Kiradjiev KB. (2021) A simple model for the desulphurisation of flue gas using reactive filters. J. Engrg Math. 129:14 DOI:10.1007/s1066502110145z 
46. Kiradjiev KB, Breward CJW, Griffiths IM, and Schwendeman D (2021) A homogenised model for a reactive filter. SIAM J. Appl. Math. 81(2) 591619. DOI: 10.1137/19M1305495 
45. Kovacs A, Breward CJW, Einarsrud KE, Halvorsen SA, NordgardHansen E, Manger E, Munch A, and Oliver JM. (2020) A heat and mass transfer problem for the dissolution of an alumina particle in a cryolite bath. International Journal of Heat and Mass Transfer. 162, 120232. DOI:10.1016/j.ijheatmasstransfer.2020.120232 
44. Kiradjiev KB, Nikolakis V, Griffiths IM, Beucher U, Venkateshwaran V, and Breward CJW. (2020) A simple model for the hygroscopy of sulphuric acid. Ind. Eng. Chem. Res. 59, 10, 48024808. DOI:101021/acs.iecr.9b06018 
43. Wilmott ZM, Breward CJW, and Chapman SJ. (2020) A dynamic network model for the action of low salinity on twophase flow. Adv. Water Res., 137, Article 103520. DOI: 10.1016/j.advwatres.2020.103520. 
42. Luckins E, Breward CJW, Griffiths IM, and Wilmott ZM. (2019) Homogenisation problems in reactive decontamination. Euro. J. Appl. Math., 31(5), 782805. DOI: 10.1017/S0956792519000263
 41. Breward CJW and Howell PD. (2019) Modelling surfactant systems out of thermodynamic equilibrium. SIAM J. Appl. Math. 79(3), 10981123. DOI: 10.1137/18M1216006 
40. O'Kiely D, Breward CJW, Griffiths IM, Howell PD, and Lange U. (2019) Outofplane buckling in twodimensional glass drawing. J. Fluid Mech., 869, 587609. DOI:10.1017/jfm.2019.221 
39. Wilmott ZM, Breward CJW, and Chapman SJ. (2019) Modelling low salinity oil recovery mechanisms using an ion dissociation model. Trans. Porous Media, 127(3), 685709. DOI:10.1007/s1124201812201. (online 2018) 
38. Kiradjiev KB, Breward CJW, and Griffiths IM. (2019)
Surfacetension and injectiondriven spreading of a thinviscous film. J. Fluid Mech., 861, 765795. DOI:10.1017/jfm.2018.934 
37. Wilmott ZM, Breward CJW, and Chapman SJ. (2018) Slip flow through channels of varying elliptic cross section. IMA J. Appl. Math. DOI: https://doi.org/10.1093/imamat/hxy022 
36. O'Kiely D, Breward CJW, Griffiths IM, Howell PD, and Lange U. (2018) Glass sheet redraw through a long heater zone. IMA J. Appl. Math. DOI: https://doi.org/10.1093/imamat/hxy021 
35. Wilmott ZM, Breward CJW, and Chapman SJ. (2018) The effect of ions on the motion of an oil slug through a charged capillary. J. Fluid Mech. 841, 310350. DOI://doi.org/10/1017/jfm.2018.13 
34. Black JP, Breward CJW, and Howell PD (2017) Quantum mechanical effects in continuum charge flow models IMA J. Appl. Math., 82(2), 251269 (doi:10.1093/imamat/hxw037). 
33. Hennessy M, Breward CJW, and Please CP (2016) A twophase model for
evaporating solventpolymer mixtures SIAM J. Appl.
Math. 76(4):17111736. 
32. O'Kiely D, Breward CJW, Griffiths IM, Howell PD, and Lange U (2015) Edge behaviour in the glass redraw process. J. Fluid Mech., 785, 248269.

31. Breward CJW, Griffiths IM, Howell PD, and Morgan M (2015) Straining
flow of a weakly interacting polymersurfactant solution.
Euro. J. Appl. Math., 26 (5), 743772. 
30. Morgan CE, Breward CJ, Griffiths IM, and Howell PD (2015) Mathematical
Modelling of Surfactant SelfAssembly at Interfaces. SIAM
J. Appl. Math., 75(2), 836860.

29. Black JP, Breward CJ, and Howell PD (2015) Twodimensional
modelling of electron flow through a poorly conducting layer. SIAM
J. Appl. Math., 75(2), 289312. DOI:10.1137/140984105.

28. Bruna M and Breward CJW (2014) The influence of nonpolar lipids on tear
film dynamics. J Fluid Mech., 746, 565605. DOI: 10.1017/jfm.2014.106 
27. Black JP, Breward CJW, Howell PD, and Young RJS (2013) Mathematical Modelling of contact resistance in silicon
photovoltaic cells SIAM J Appl Math. 73(5), 19061925. DOI: 10.1137/130911974 
26. Zubkov VS, Breward CJW, and Gaffney EA (2013) Meniscal tear film fluid
dynamics near Marx's line Bull Math Biol. 75(9):153443. DOI: 10.1007/s115380139858x 
25. Taroni M, Breward CJW, Cummings LJ, and Griffiths IM (2013) Asymptotic solutions of glass temperature profiles during steady
optical fibre drawing J Engrg Math. 80(1): 120 
24. Griffiths IM, Breward CJW, Colegate DM, Dellar PJ, Howell
PD, and Bain CD (2013) A new pathway for the reequilibration of
micellar surfactant solutions Soft Matter 9,
853863. DOI:10.1039/C2SM27154K 
23. Morgan CE, Breward CJW, Griffiths IM, Howell PD, Penfold
J, Thomas RK, Tucker I, Petkov JT, and Webster JRP (2012) The kinetics
of surfactant desorption at the airsolution interface
Langmuir. 28(50):1733948. DOI: 10.1021/la304091g 
22. Taroni M., Breward C.J.W., Howell, P.D., and Oliver,
J. M. (2012) Boundary conditions for free surface inlet and outlet
problems. J. Fluid Mech. 708, 100110. DOI:10.1017/jfm.2012.275 
21. Zubkov, V., Breward, C.J.W., and Gaffney, E.A. (2012) Coupling fluid
and solute dynamics within the ocular surface tear film: a
modelling study of black line osmolarity. Bulletin
of Mathematical Biology. 74 (9). 20622093. DOI:10.1007/s1153801297469 
20. Fletcher, A., Breward, C.J.W. and Chapman,
S.J. (2012)
Mathematical modelling of monoclonal conversion in the colonic
crypt. Journal of Theoretical Biology. 300, 118133. DOI:10.1016/j.jtbi.2012.01.021 
19. Griffiths, I.M., Bain, C.D., Breward, C.J.W, Chapman, S.J, Howell,
P.D., and Waters, S.L. (2011) An asymptotic theory for the
reequilibration of a micellar surfactant solution.
SIAM Journal of Applied Mathematics. 72, 201215. DOI:10.1137/110842089 
18. Taroni, M., Breward, C.J.W, Howell, P.D., Oliver, J.M., and Young,
R.S.J. (2011) The screen printing of a powerlaw
fluid. Journal of Engineering Mathematics. 73
(1). 93119. DOI:10.1007/s1066501195006. ERRATUM
Journal of Engineering Mathematics. 74 (1). 207. 
17. Griffiths, I.M., Bain, C.D., Breward, C.J.W., Colegate, D.M.,
Howell, P.D., and Waters, S.L. (2011)
On the predictions and limitations of
the BeckerDoring model for reaction kinetics in micellar surfactant
solutions . Journal of Colloid and Interface Science. 360 (2),
662671. DOI:10.1016/j.jcis.2011.04.074 
16. Aydemir E., Breward C.J.W. and Witelski, T.P. (2011) The effect of polar
lipids on tear film dynamics. Bulletin of Mathematical
Biology, 73(6), 11711201. DOI:10.1007/s115380109555y 
15. Hocking, G.C., Sweatman, W.L., Fitt, A.D. and Breward,
C.J.W. (2011) Deformations during jetstripping in the galvanizing
process. Journal of Engineering Mathematics, 70(13), 297306. DOI:10.1007/s1066501093948 
14. Bell, C. G.; Breward, C. J. W.; Howell, P. D.; Penfold, J.; Thomas, R. K. (2010) A theoretical analysis of the surface tension profiles of strongly interacting polymersurfactant systems. Journal of Colloid and Interface Science. 350, no. 2, 486493. 
13. Bohun C.S. and Breward C.J.W., (2009) Yolk Dynamics in Amphibian
Embryos. Maths in Industry Case Studies, 1, 121. 
12. Dyson RJ, Brander J, Breward CJW and Howell PD, (2009) Longwavelength
stability of an unsupported multilayer liquid film falling under
gravity. Journal of Engineering Mathematics, 64 (3), 237250. DOI
10.1007/s106650099278y. 
11. Bell CG, Breward CJW, Howell PD, Penfold J, and Thomas RK, (2007) Macroscopic modelling of the surface tension of polymersurfactant systems,
Langmuir, 23(11), 60426052. DOI: 10.1021/la063714h 
10. Penfold J, Tucker I, Thomas RK, Taylor DJF, Zhang XL, Bell CG, Breward
CJW and Howell PD. (2007) The interaction between sodium alkyl sulfate surfactants
and the oppositely charged polyelectrolyte, PolyDMDAAC, at the AirWater
Interface: The role of Alkyle chaim length and electrolyte and comparison
with theoretical predictions, Langmuir 23(6), 31283136. DOI:10.1021/la063016x 
9. White, G.S. and Howell, P.D. and Breward, C.J.W. and Young, R.J.S. (2006) A simple model for screen printing of Newtonian fluids. Journal of Engineering Mathematics,
54(1). pp 4970. 
8. Breward, C.J.W. and Howell, P.D. (2004) Straining flow of a micellar surfactant solution. European Journal of Applied
Mathematics, 15(5). pp. 511531. 
7. Breward, C.J.W. and Byrne, H.M. and Lewis, C.E. (2003) A multiphase model describing vascular tumour growth. Bulletin of Mathematical Biology, 65. . 
6. Howell, P.D. and Breward, C.J.W. (2003) Mathematical modelling of the overflowing cylinder experiment. Journal of Fluid Mechanics, 474. 
5. Breward, C.J.W. and Howell, P.D. (2002) The drainage of a foam lamella. Journal of Fluid Mechanics, 458. . 
4. Breward, C.J.W. and Byrne, H.M. and Lewis, C.E. (2002) The role of cellcell interactions in a twophase model for avascular tumour growth. Journal of Mathematical Biology, 45 (2). . 
3. Breward, C.J.W. and Darton, R.C. and Howell, P.D. and Ockendon, J.R. (2001) The effect of surfactants on expanding free surfaces. Chemical Engineering Science, 56. . 
2. Breward CJW, Byrne HM and Lewis CE, (2001), Modelling the interactions between tumour cells and a blood vessel in a microenvironment within a vascular
tumour. European Journal of Applied Mathematics, 12: 529556. 
1. Breward, C.J.W and Darton, R.C. and Howell, P.D. and Ockendon, J.R. (1997) Modelling foam drainage. I Chem E Symposium Series, 142 (2). 
Submitted Papers 
Study Group Reports 
17. Sanaei P, Breward CJW, Ellis M, Han S, Holzer B, Ji H, El Kahza H, Llewelyn Smith S, Parsa S, Reynolds H, Troy J, Witelski TP, Zhang N and Zyskin M, Evaporation and deposition in porous media. Mathematics in Industry Reports. Proc. MPI 2021. 10.33774/miir2022wq8fl (2022) 
16. Breward CJW, Hocking G, Ockendon H, Please CP and Schwendeman Modelling the
flow through Sugar Cane
Proc. MISGA (2012). Republished in Mathematics In Industry Reports (2021) DOI: 10.33774/miir2021nnl64 
15. Breward CJW, Griffiths IM, Potter H and Taroni M Matched
asymptotic solutions of glass temperature profiles during optical
fibre drawing Proc. MPI (2011) 
14. Breward CJW, Chen T, Tan Y and Westbrook R Position sensing Proc. 3rd
FieldsMITACS Industrial Problem Solving Workshop (2010) 
13. Bohun CS, Breward CJW, Cummings LJ and Witelski TP Two problems on the flow of viscous
sheets in glass
Proc. MPI (2010) 
12. Breward CJW, Heffernan J, Madras N, Muira RM and Sorensen MP Discovery and assessment of new target sites for
AntiHIV therapies Proc. 2nd FieldsMITACS Industrial
Problem Solving Workshop (2008) 
11. Breward CJW and Edwards D. Characterising molecular diffusion in the
lens capsule. Proc. MPI (2007). 
10. Breward CJW and Huang H. Resource allocation. Proc. ESGI56 (2007) 
9. Bohun CS and Breward CJW. Yolk dynamics in amphibian embryos. Proc. 1st FieldsMITACS Industrial Problem Solving Workshop. (2006) 
8. Witelski T and Breward CJW. Analysis of chemicalmechanical polishing via
elastohydrodynamic lubrication. Proc. 21st MPI. (2005) 
7. Breward CJW and Richardson GW. Capillary agglutination technology. Proc. ESGI53 (2005) 
6. Breward CJW, Dyson R, Edwards CM, Metcalfe P, Please CP and Zyskin M Modelling of melt on spinning wheels and the impact of scaleup on
the various parameters. Proc. ESGI49 (2004). 
5. Breward CJW and Lacey AA, Perspiration
modelling of the human foot. Proc. ESGI46 (2003). Republished in Mathematics In Industry Reports (2021) DOI: 10.33774/miir2021txm2t 
4. Breward CJW, Dellar PJ, Edwards CM, Kaouri K, Richardson GW and Wilson
SK, Mathematical
modelling of pipeflow and extrusion of composite materials (Working title:
Mathematical modelling of the extrusion of ice cream). Proc. ESGI43, (2002). Republished in Mathematics In Industry Reports (2021) DOI=10.33774/miir2021m8k6s 
3. Billingham J, Breward CJW and Howell PD, Curvature of the spine:
hydrostatic pressure as an indicator of scoliosis. Proc. MMSG2001,
1830, (2002). 
2. Breward CJW and Byrne HM, Effects of a new antitumour drug, fibrinogen
Efragment, in vivo: differential effects on the outer versus the inner areas
of tumours. Proc. MMSG2000, 4257, (2001). 
1. Breward CJW and Parker DF, Oxygen tension in an experimental cell
culture apparatus. Proc. ESGI2000, (2000). Republished in Mathematics In Industry Reports (2022) DOI=10.33774/miir20228dr2b 
Theses 
Breward CJW, The mathematics of foam. DPhil thesis, Oxford University, (1999). 
Breward CJW, The spreading of solder. MSc thesis, Oxford University, (1995). 
Student Theses 
Kovacs A Modelling the feeding process for aluminium production DPhil Thesis, Oxford University (2021) 
Kiradjiev KB Modelling removal of sulphur dioxide from flue gas in purification devices DPhil Thesis, Oxford University (2020) 
Wilmott ZM Multiscale modelling of the action of low salinity DPhil Thesis, Oxford University (2019) 
Joseph S Current generation in solar cells DPhil Thesis, Oxford University (2018) 
O'Kiely D Mathematical models for the glass sheet redraw process DPhil Thesis, Oxford University (2017) 
Letchford N Cavitation in lubricating films DPhil Thesis, Oxford University (2017) 
Black JP Mathematical modelling of
electronic contact mechanisms in
silicon photovoltaic cells DPhil Thesis, Oxford University (2015) 
Hennessy M Mathematical problems relating to the fabrication of
organic photovoltaic devices DPhil Thesis, Oxford University (2014). 
Shabala A Mathematical modelling of oncolytic virotherapy DPhil Thesis, Oxford University (2014). 
Morgan CR, Mathematical Modelling of surfactant adsorption
structures at interfaces. DPhil Thesis, Oxford University (2012) 
Fletcher AG, Aspects of tumour modelling from the subcellular to the tissue scale. DPhil Thesis, Oxford University (2011). 
Taroni M,Thin film models of the screenprinting process. DPhil Thesis, Oxford University (2010). 
Dyson RJ, Mathematical Modelling of curtain coating. DPhil Thesis, Oxford University (2008). 
Bell CG, Mathematical modelling of polymersurfactant
mixtures. DPhil Thesis, Oxford University (2008). 
Aydemir E, Modelling tears on the surface of the eye. MSc Thesis, Oxford University (2007). 
White GS, Mathematical modelling of screen printing. DPhil Thesis, Oxford University (2006). 
Tayler Z, Modelling synovial joints and the progression of rheumatoid arthritis. MSc thesis, Oxford University, (2006). 
Sane J, Tumour modelling. MSc thesis, Oxford University, (2003). 
White GS, Mathematical modelling of invertebral discs. MSc thesis,
Oxford University, (2002). 
White A, The effect of ionic surfactant on expanding free surfaces. MSc
thesis, Oxford University, (2001). 
