Publications 
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 
2. Kiradjiev KB, Breward CJW, and Griffiths IM. Surfacetension and injectiondriven thinfilm flow. Submitted to Journal of Fluid Mechanics (2018) 
1. Wilmott ZM, Breward CJW and Chapman SJ. Modelling low salinity oil recovery mechanisms using an ion dissociation model. Submitted to Transactions in Porous Media (2018) 
Study Group Reports 
Breward CJW, Hocking G, Ockendon H, Please CP and Schwendeman Modelling the
flow through Sugar Cane
Proceedings of the MISGA (2012) 
Breward CJW, Griffiths IM, Potter H and Taroni M Matched
asymptotic solutions of glass temperature profiles during optical
fibre drawing Proceedings MPI (2011) 
Breward CJW, Chen T, Tan Y and Westbrook R Position sensing Proceedings of the 3rd
FieldsMITACS Industrial Problem Solving Workshop (2010) 
Bohun CS, Breward CJW, Cummings LJ and Witelski TP Two problems on the flow of viscous
sheets in glass
Proc MPI (2010) 
Breward CJW, Heffernan J, Madras N, Muira RM and Sorensen MP Discovery and assessment of new target sites for
AntiHIV therapies Proceedings of the 2nd FieldsMITACS Industrial
Problem Solving Workshop (2008) 
Breward CJW and Edwards D. Characterising molecular diffusion in the
lens capsule. Proc MPI (2007). 
Breward CJW and Huang H. Resource allocation. Proc ESGI56 (2007) 
Bohun CS and Breward CJW. Yolk dynamics in amphibian embryos. Proc
Fields Study Group. (2006) 
Witelski T and Breward CJW. Analysis of chemicalmechanical polishing via
elastohydrodynamic lubrication. Proc 21st MPI. (2005) 
Breward CJW and Richardson GW. Capillary agglutination technology. Proc ESGI53 (2005) 
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). 
Breward CJW and Lacey AA, Perspiration
modelling of the human foot. Proc ESGI46 (2003). 
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) 
Billingham J, Breward CJW and Howell PD, Curvature of the spine:
hydrostatic pressure as an indicator of scoliosis. Proc. MMSG2001,
1830, (2002). 
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). 
Breward CJW and Parker DF, Oxygen tension in an experimental cell
culture apparatus. Proc. ESGI2000, (2000). 
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 
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). 
