PUBLICATIONS


Publications

  1. Bell, C., Breward, C., Howell, P, Penfold, J and Thomas, R. (2010) A theoretical analysis of the surface tension profiles of strongly interacting polymer-surfactant systems. J. Coll. Int. Sci.. To appear.
  2. Aydemir E., Breward C.J.W. and Witelski, T.P. (2010) The effect of polar lipids on tear film dynamics. Bull. Math. Biol.. To appear. DOI:10.1007/s11538-010-9555-y
  3. Bohun C.S. and Breward C.J.W., (2009) Yolk Dynamics in Amphibian Embryos. Maths in Industry Case Studies, 1, 1-21.
  4. Dyson RJ, Brander J, Breward CJW and Howell PD, (2009) Long-wavelength stability of an unsupported multilayer liquid film falling under gravity. Journal of Engineering Mathematics, 64 (3), 237--250. DOI 10.1007/s10665-009-9278-y.
  5. Bell CG, Breward CJW, Howell PD, Penfold J, and Thomas RK, (2007) Macroscopic modelling of the surface tension of polymer-surfactant systems, Langmuir, 23(11), 6042-6052. DOI: 10.1021/la063714h
  6. 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 Air-Water Interface: The role of Alkyle chaim length and electrolyte and comparison with theoretical predictions, Langmuir 23(6), 3128-3136. DOI:10.1021/la063016x
  7. 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 49-70.
  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. 511-531.
  9. 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. pp. 609-640.
  10. Howell, P.D. and Breward, C.J.W. (2003) Mathematical modelling of the overflowing cylinder experiment. Journal of Fluid Mechanics, 474. pp. 275-298.
  11. Breward, C.J.W. and Howell, P.D. (2002) The drainage of a foam lamella. Journal of Fluid Mechanics, 458. pp. 379-406.
  12. Breward, C.J.W. and Byrne, H.M. and Lewis, C.E. (2002) The role of cell-cell interactions in a two-phase model for avascular tumour growth. Journal of Mathematical Biology, 45 (2). pp. 125-152.
  13. 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. pp. 2867-2878.
  14. 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. Euro. J. Appl. Math., 12: 529-556.
  15. Breward, C.J.W. (1999) The mathematics of foam. PhD/DPhil thesis, University of Oxford.
  16. 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). pp. 1009-1019

Submitted

  1. Hocking, G.C., Sweatman, W.L., Fitt, A.D. and Breward, C.J.W. Deformations during jet-stripping in the galvanizing process. Submitted to J. Eng. Math. (2010)
  2. Taroni, M., Breward, C.J.W, Howell, P.D., Oliver, J.M., and Young, R.S.J. The screen printing of a power-law fluid. Submitted to J. Eng. Math. (2010)

Other Publications

Study Group Reports

  1. Breward CJW and Edwards D. Characterising molecular diffusion in the lens capsule. Proc MPI (2007).
  2. Breward CJW and Huang H. Resource allocation. Proc ESGI56 (2007)
  3. Bohun CS and Breward CJW. Yolk dynamics in amphibian embryos. Proc Fields Study Group. (2006)
  4. Witelski T and Breward CJW. Analysis of Chemical-Mechanical Polishing via Elastohydrodynamic Lubrication. Proc 21st MPI. (2005)
  5. 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 scale-up on the various parameters. Proc ESGI49 (2004).
  7. Breward CJW and Lacey AA, Perspiration modelling of the human foot. Proc ESGI46 (2003).
  8. Breward CJW, Dellar PJ, Edwards CM, Kaouri K, Richardson GW and Wilson SK, Mathematical modelling of Pipe-flow and extrusion of composite materials (Working title: Mathematical modelling of the extrusion of ice cream). Proc ESGI43, (2002)
  9. Billingham J, Breward CJW and Howell PD, Curvature of the spine: hydrostatic pressure as an indicator of scoliosis. Proc. MMSG2001, 18-30, (2002).
  10. Breward CJW and Byrne HM, Effects of a new anti-tumour drug, fibrinogen E-fragment, in vivo: differential effects on the outer versus the inner areas of tumours. Proc. MMSG2000, 42-57, (2001).
  11. Breward CJW and Parker DF, Oxygen tension in an experimental cell culture apparatus. Proc. ESGI2000, (2000).

Theses

  1. Breward CJW, The mathematics of foam. DPhil thesis, Oxford University, (1999).(ps.gz, ps.zip)
  2. Breward CJW, The spreading of Solder. MSc thesis, Oxford University, (1995).

Student theses

  1. Dyson RJ, Mathematical Modelling of curtain coating. DPhil Thesis, Oxford University (2008).
  2. Bell CG, Mathematical modelling of polymer-surfactant mixtures. DPhil Thesis, Oxford University (2008).
  3. Aydemir E, Modelling tears on the surface of the eye. MSc Thesis, Oxford University (2007).
  4. White GS, Mathematical Modelling of Screen Printing. DPhil Thesis, Oxford University (2006).
  5. Tayler Z, Modelling synovial joints and the progression of rheumatoid arthritis. MSc thesis, Oxford University, (2006).
  6. Sane J, Tumour modelling. MSc thesis, Oxford University, (2003).
  7. White GS, Mathematical modelling of invertebral discs. MSc thesis, Oxford University, (2002).
  8. White A, The effect of ionic surfactant on expanding free surfaces. MSc thesis, Oxford University, (2001).(ps.gz, ps.gz)