Recent Publications

	Eamonn Gaffney. Publications Since 1999

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MJ Tindall, EA Gaffney, PK Maini, JP Armitage, Theoretical insights into bacterial chemotaxis WIREs Syst Biol Med 2012. doi: 10.1002/wsbm.1168

Shum H, Gaffney EA. Ch.2 in: MJ Kim, E Steager, A Agung Julius eds. Mathematical models for individual swimming bacteria in microbiorobotics: biologically inspired microscale robotic systems. Elsevier, 2012. ISBN: 9781455778911

NK Martin, IF Robey, EA Gaffney, RJ Gillies, RA Gatenby, PK Maini, Predicting the Safety and Efficacy of Buffer Therapy to Raise Tumour pHe: An Integrative Modelling Study, British Journal of Cancer (2012), In Press.

PK Maini, TE Woolley, RE Baker, EA Gaffney and S Seirin Lee, Turing’s model for biological pattern formation and the robustness problem, Interface Focus (2012), In Press.

H Colin-Harper, TE. Woolley, L Dyson, A Patel, P Potter, RE. Baker, EA Gaffney, PK Maini, PR Dash, K Patel, Age Related changes in speed and mechanism of adult stem cell migration, Stem Cells (2012), In Press.

J. McGillen, NK Martin, IF Robey, EA Gaffney, PK Maini, Applications of mathematical analysis to tumour acidity modelling, U. Kyoto RIMS Kokyuroku Bessatsu, 2012, In Press

PDMH Verhaegen, J van Marle, A Kuehne, HJ Schouten, EA Gaffney, PK Maini, E Middelkoop, PPM van Zuijlen, Collagen bundle morphometry in skin and scar tissue: a novel distance mapping method provides superior measurements compared to Fourier analysis, Journal of Microscopy, (2012) 245 p82-89.

T. E. Woolley, R. E. Baker, E. A. Gaffney, P. K. Maini, Stochastic reaction and diffusion on growing domains: Understanding the breakdown of robust pattern formation, Phys. Rev. E 84, 046216 (2011) [16 pages]

V. Klika, R. E. Baker, D. Headon, E. A. Gaffney, The influence of receptor-mediated interactions on reaction-diffusion mechanisms of cellular self-organisation, Bulletin of Mathematical Biology (2011) In Press DOI 10.1007/s11538-011-9699-4

C. Venkataraman, T. Sekimura E. A. Gaffney, P. K. Maini, A.Madzvamuse,Modeling parr-mark pattern formation during the early development of Amago trout Phys. Rev. E 84, 041923 (2011) [13 pages]

T. E. Woolley, R. E. Baker, E. A. Gaffney, P. K. Maini, Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise, Phys. Rev. E 84, 041905 (2011) [13 pages]

S Seirin Lee, EA Gaffney, RE Baker, The dynamics of Turing patterns for morphogen-regulated growing domains with cellular response delays, Bulletin of Mathematical Biology, (2011), doi:10.1007/s11538-011-9634-8

EAJ Boston, EA Gaffney, The influence of toxicity constraints in models of chemotherapeutic protocol escalation Math Med Biol (2011) doi: 10.1093/imammb/dqr004

TE Woolley, RE Baker, EA Gaffney, PK. Maini, Power spectra methods for a stochastic description of diffusion on deterministically growing domains Phys. Rev. E (2011) 84, 021915 [15 pages]

DJ Smith, EA Gaffney, H Shum, H Gadelha, JC Kirkman-Brown, Comment on the Article by J. Elgeti, U. B. Kaupp, and G. Gompper: Hydrodynamics of Sperm Cells Near Surfaces, Biophysical J. (2011) 100 9 p2318-2320

AJ Bron, N Yokoi, EA Gaffney, JM Tiffany, A solute gradient in the tear meniscus. I. A hypothesis to explain Marx's line. The Ocular Surface (2011) 9 p70-91.

AJ Bron, N Yokoi, EA Gaffney, JM Tiffany, A solute gradient in the tear meniscus. II Implications for lid margin disease, including meibomian gland dysfunction. The Ocular Surface (2011) 9 p92-97.

J Schofield, EA Gaffney, RA Gatenby, PK Maini, Tumour angiogenesis: The gap between theory and experiments, J. Theoretical Biology, (2011) 274, p97-102.

NK Martin, EA Gaffney, RA Gatenby, RJ Gillies, IF Robey, PK. Maini, A Mathematical Model of Tumour and Blood pHe Regulation: The HCO3 /CO2 Buffering System, Math Biosci (2011) 230 p1-11.

EA Gaffney, H Gadelha, DJ Smith, JR Blake, JC Kirkman-Brown, Mammalian Sperm Motility: Observation and Theory. Annual Reviews of Fluid Mechanics, (2011), 43, p501-528.

NK Martin, EA Gaffney, RA Gatenby, PK Maini, Tumour-Stromal Interactions in Acid-Mediated Invasion: A Mathematical Model, Journal Of Theoretical Biology, (2010), 267, p461-470.

NK Martin, EA Gaffney, RA Gatenby, PK Maini, Leaky Vessels As A Potential Source Of Stromal Acidification In Tumours, Journal Of Theoretical Biology (2010), 267 p454-460.

S Egginton, EA Gaffney, Tissue capillary supply - it's quality not quantity that counts!, Experimental Physiology (2010), 95, p971-979.

S Seirin Lee, EA Gaffney, Aberrant Behaviours of Reaction Diffusion Self-organisation Models on Growing Domains in the Presence of Gene Expression Time Delays, Bulletin of Mathematical Biology (2010), 72, p2161-2179.

H Gadelha, EA Gaffney, DJ Smith, JC Kirkman-Brown, Nonlinear instability in flagellar dynamics: a novel modulation mechanism in sperm migration?, J. Royal Society Interface (2010) 7 p1689-1697.

S Seirin Lee, EA Gaffney, NAM Monk, The Influence of Gene Expression Time Delays on Gierer-Meinhardt Pattern Formation Systems, Bulletin of Mathematical Biology (2010), 72, p2139-2160.

H Shum, EA Gaffney, DJ Smith, Modelling bacterial behaviour close to a no-slip plane boundary: the influence of bacterial geometry, Proc Roy Soc A (2010) 466 p1725-1748.

P Moreo, EA Gaffney, JM Garcia-Anzar, M Doblare, On the modelling of biological patterns with mechanochemical models: insights from analysis and computation, Bulletin of Mathematical Biology (2010), 72, p400-431.

A Madzvamuse, EA Gaffney, PK Maini, Stability analysis of reaction-diffusion systems with time-dependent coefficients on growing domains, Journal Of Mathematical Biology (2010), 61, p133-164

EA Gaffney, JM Tiffany, N Yokoi, AJ Bron, A Mass and Solute Balance Model for Tear Volume and Osmolarity in The Normal And The Dry Eye, Progress in Retinal And Eye Research (2010), 29, p59-78.

DJ Smith, EA Gaffney, JR Blake, Mathematical modelling of cilia-driven transport of biological fluids, Proceedings of the Royal Society A (2009), 465, p2417-2439.

AJ Bron, N Yokoi, EA Gaffney, JM Tiffany, Predicted Phenotypes of Dry Eye - Proposed Consequences of its Natural History, The Ocular Surface (2009) 7, p78-92.

DJ Smith, EA Gaffney, H Gadelha, N Kapur, JC Kirkman-Brown, Bend propagation in the flagella of migrating human sperm, and its modulation by viscosity, Cell Motility & The Cytoskeleton (2009), 66, 220-236.

DJ Smith, EA Gaffney, JR Blake, JC Kirkman-Brown, Human sperm accumulation near surfaces: a simulation study, J. Fluid Mechanics (2009), 621, p289-320.

HC Monro, EA Gaffney, Modelling chemotherapy resistance in palliation and failed cure, J. Theoretical Biology (2009), 257, p292-302.

DJ Smith, EA Gaffney, JR Blake, Modelling mucociliary clearance, Respiratory Physiology & Neurobiology (2008) 163, p178-188.

RE Baker, EA Gaffney, PK Maini, Partial differential equations for self-organization in cellular and developmental biology, Nonlinearity (2008), 21, R251-290.

DJ Smith, JR Blake, EA Gaffney, Fluid mechanics of nodal flow due to embryonic primary cilia, Journal of The Royal Society Interface (2008) 5, p567-573

EA Gaffney, JK Heath, MZ Kwiatkowska, A Mass Action Model of a Fibroblast Growth Factor Signaling Pathway and Its Simplification, Bulletin of Mathematical Biology (2008) 68, p99-130.

DJ Smith, EA Gaffney, JR Blake, Discrete cilia modelling with singularity distributions, Bulletin of Mathematical Biology (2007) 69, p1477-1510.

DJ Smith, EA Gaffney, JR. Blake, A model of tracer transport in airway surface liquid, Bulletin of Mathematical Biology (2007) 69, p817-836.

DJ Smith, EA Gaffney and JR Blake, A visco-elastic traction layer model of muco-ciliary transport, Bulletin Mathematical Biology, (2007) 69, p289-327.

M Kwiatkowska, G Norman, D Parker, O Tymchyshyn, JK Heath, EA Gaffney, Simulation And Verification For Computational Modelling Of Signalling Pathways, Proceedings of the 2006 Winter Simulation Conference, L. F. Perrone, F. P. Wieland, J. Liu, B. G. Lawson, D. M. Nicol, and R. M. Fujimoto, eds, (2006).

EA Gaffney, NAM Monk, Gene Expression Time Delays and Turing Pattern Formation Systems, Bulletin Mathematical Biology (2006), p99-130.

EA Gaffney, The Mathematical Modelling of Adjuvant Chemotherapy Scheduling: Incorporating the Effects of Protocol Rest Phases and Pharmacokinetics. Bulletin of Mathematical Biology (2005) 67, p563-611.

EA Gaffney, The Application Of Mathematical Modelling To Aspects Of Adjuvant Chemotherapy Scheduling, Journal of Mathematical Biology (2004) 48, p375-422.

EA Gaffney, K. Pugh, PK Maini, F. Arnold, Investigating A Simple Model Of Wound Healing Angiogenesis, J. of Mathematical Biology (2003) 45 p337-374.

E. Crampin, EA Gaffney, P.K. Maini, Mode Doubling And Tripling In Reation-Diffusion Patterns On Growing Domains: A Piecewise Linear Model, J. of Mathematical Biology (2002) 44 p107-128.

EA. Gaffney, On Conditions For The Stability Of A Two Component Mixed Quasimonotone Reaction Diffusion Equation, J. of Mathematical Analysis and Applications (2001) 256, p513-524.

JR Blake, EA Gaffney, Modelling aspects of tracer transport in muco-ciliary flows, In Cilia, Mucus and Mucociliary Interactions, 26, M Salathe (Editor), New York, Marcel Dekker, 291-302. (2001).

EA Gaffney, PK Maini, JA Sherratt, S.Tuft, The Mathematical Modelling Of Cell Kinetics In Corneal Epithelial Wound Healing And Comparison With Experiment, Journal of Theoretical Biology (1999) 197, p15-40.

EA Gaffney, PK Maini, C. McCaig, M. Zhao, J. Forrester, Modelling corneal epithelial wound closure in the presence of physiological electric fields via a moving boundary formalism, IMA Journal of Mathematics Applied in Medicine and Biology (1999) 16, p369-393.

E. Crampin, EA Gaffney, PK Maini, Reaction and Diffusion on Growing Domains: Scenarios for Robust Pattern Formation, Bulletin Mathematical Biology (1999) 61, p1093-1120.