Publications arising from Study Group Problems

The following is a list of publications known to have arisen out of problems brought to Mathematics in Medicine Study Groups

A Stochastic Model for Early Placental Development
S Cotter, V Klilka, L Kimpton, S Collins & A Heazell (2014)
Journal of the Royal Society Interface 11 (97), 20140149.
Arenavirus Budding Resulting from Viral-Protein-Associated Cell Membrane Curvature
D Schley, RJ Whittaker & BW Neuman (2013)
Journal of the Royal Society Interface 10 (86).
Modelling the influence of foot-and-mouth disease vaccine antigen stability and dose on the bovine immune response
D Schley, RJ Tanaka, K Leungchavaphongse, V Shahrezaei, J Ward, C Grant, B Charleston, & CJ Rhodes (2012)
PLoS ONE 7 (2).
Cellular entry of nanoparticles via serum sensitive clathrin-mediated endocytosis, and plasma membrane permeabilization
PJ Smith, M Giroud, HL Wiggins, F Gower, JA Thorley, B Stolpe, J Mazzolini, RJ Dyson, JZ Rappoport (2012)
International Journal of Nanomedicine 2012 (7), 2045–2055.
Modelling foot-and-mouth disease virus dynamics in oral epithelium to help identify the determinants of lysis
D Schley, J Ward, & Z Zhang (2011)
Bulletin of Mathematical Biology 73 (7), 1503–1528.
Transport in the placenta: homogenizing haemodynamics in a disordered medium
IL Chernyavsky, L Leach, IL Dryden, & OE Jensen (2011)
Philosophical Transactions of the Royal Society A 369 (1954), 4162–4182.
The First International Workshop on the Role and Impact of Mathematics in Medicine: A Collective Account
M Artzrouni, CB Begg, R Chabiniok, J Clairambault, AJE Foss, J Hargrove, EK Lee, JH Siggers, M Tindall (2011)
American Journal of Translational Research 3 (5), 492–497.
A mathematical model of intervillous blood flow in the human placentone
IL Chernyavsky, OE Jensen, & L Leach (2010)
Placenta 31 (1), 44–52.
A Poisson–Nernst–Planck Model for Biological Ion Channels—An Asymptotic Analysis in a Three-Dimensional Narrow Funnel
A Singer & J Norbury (2009)
SIAM Journal on Applied Mathematics 70 (3), 949–968.
Intracellular flow in optic-nerve axons: A mechanism for cell death in glaucoma
LR Band, CL Hall, G Richardson, OE Jensen, JH Siggers, & AJE Foss (2009)
Investigative Ophthalmology and Visual Science 50, 3750–3758.
Design criteria for a printed tissue engineering construct: A mathematical homogenization approach
RJ Shipley, GW Jones, RJ Dyson, BG Sengers, CL Bailey, CJ Catt, CP Please and J Malda (2009)
Journal of Theoretical Biology 259 (3), 489–502.
Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor
RJ Whittaker, R Booth, R Dyson et. al. (2009)
Journal of Theoretical Biology 256 (4), 533–546.
Ureteric stents: Investigating flow and encrustation
SL Waters, K Heaton, JH Siggers, R Bayston, M Bishop, LJ Cummings, DM Grant, JM Oliver & JAD Wattis (2008)
Journal of Engineering in Medicine 222 (4), 551–561.
A mathematical model of the in vitro keratinocyte response to chromium and nichol exposure
SJ Franks, JP Ward, MJ Tindall, JR King, A Curtis & GS Evans (2008)
Toxicology in vitro 22, 1088–1093.
Singular perturbation analysis of the steady-state Poisson–Nernst–Planck system: Applications to ion channels
A Singer, D Gillespie, J Norbury & RS Eisenberg (2008)
European Journal of Applied Mathematics 19 (5), 541–560.
Modelling cell signalling and differentiation in the urothelium
PJ Woodroffe, JR King, CL Varley & J Southgate (2005)
Bulletin of Mathematical Biology 67, 369–389.
Mathematical modelling of magnetically targeted drug delivery
AD Grief & G Richardson (2005)
Journal of Magnetism and Magnetic Materials 293 (1), 455–463.
The effect of ureteric stents on urine flow: Reflux
LJ Cummings, SL Waters, JAD Wattis & SJ Graham (2004)
Journal of Mathematical Biology 49, 56–82.
A mathematical model of the dynamics of odontogenic cyst growth
JP Ward, V Magar, SJ Franks & G Landini (2004)
Analytical and Quantitative Cytology and Histology 26, 39–46.
A model of in-vivo hydrocephalus shunt dynamics for blockage and performance diagnostics
D Schley, J Billingham, & RJ Marchbanks (2004)
Mathematical Medicine and Biology 21, 347–368.