Krause, Andrew L.; Gaffney, Eamonn A.; Jewell, Thomas Jun; Klika, Václav; Walker, Benjamin J. Turing instabilities are not enough to ensure pattern formation. (English) Zbl 07804876 Bull. Math. Biol. 86, No. 2, Paper No. 21, 11 p. (2024). MSC: 92C15 35K57 35B36 PDFBibTeX XMLCite \textit{A. L. Krause} et al., Bull. Math. Biol. 86, No. 2, Paper No. 21, 11 p. (2024; Zbl 07804876) Full Text: DOI arXiv OA License
Diez, Antoine; Krause, Andrew L.; Maini, Philip K.; Gaffney, Eamonn A.; Seirin-Lee, Sungrim Turing pattern formation in reaction-cross-diffusion systems with a bilayer geometry. (English) Zbl 07795542 Bull. Math. Biol. 86, No. 2, Paper No. 13, 42 p. (2024). MSC: 92C15 92C17 35B36 35K57 PDFBibTeX XMLCite \textit{A. Diez} et al., Bull. Math. Biol. 86, No. 2, Paper No. 13, 42 p. (2024; Zbl 07795542) Full Text: DOI
Jewell, Thomas Jun; Krause, Andrew L.; Maini, Philip K.; Gaffney, Eamonn A. Patterning of nonlocal transport models in biology: the impact of spatial dimension. (English) Zbl 07805063 Math. Biosci. 366, Article ID 109093, 16 p. (2023). MSC: 92C15 45K05 35B36 PDFBibTeX XMLCite \textit{T. J. Jewell} et al., Math. Biosci. 366, Article ID 109093, 16 p. (2023; Zbl 07805063) Full Text: DOI arXiv
Ayensa-Jiménez, Jacobo; Doweidar, Mohamed H.; Doblaré, Manuel; Gaffney, Eamonn A. A mathematical modelling study of chemotactic dynamics in cell cultures: the impact of spatio-temporal heterogeneity. (English) Zbl 07742028 Bull. Math. Biol. 85, No. 10, Paper No. 98, 48 p. (2023). Reviewer: Takashi Suzuki (Osaka) MSC: 92C17 35L02 PDFBibTeX XMLCite \textit{J. Ayensa-Jiménez} et al., Bull. Math. Biol. 85, No. 10, Paper No. 98, 48 p. (2023; Zbl 07742028) Full Text: DOI OA License
Gaffney, Eamonn A.; Krause, Andrew L.; Maini, Philip K.; Wang, Chenyuan Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems. (English) Zbl 1521.35029 Discrete Contin. Dyn. Syst., Ser. B 28, No. 12, 6092-6125 (2023). MSC: 35B36 35K51 35K57 92C17 PDFBibTeX XMLCite \textit{E. A. Gaffney} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 12, 6092--6125 (2023; Zbl 1521.35029) Full Text: DOI arXiv
Krause, Andrew L.; Gaffney, Eamonn A.; Walker, Benjamin J. Concentration-dependent domain evolution in reaction-diffusion systems. (English) Zbl 1507.92014 Bull. Math. Biol. 85, No. 2, Paper No. 14, 28 p. (2023). MSC: 92C15 35K57 35B36 PDFBibTeX XMLCite \textit{A. L. Krause} et al., Bull. Math. Biol. 85, No. 2, Paper No. 14, 28 p. (2023; Zbl 1507.92014) Full Text: DOI arXiv
Whiteley, Jonathan P.; Brown, Cameron P.; Gaffney, Eamonn A. Modelling articular cartilage: the relative motion of two adjacent poroviscoelastic layers. (English) Zbl 1498.92025 Math. Med. Biol. 39, No. 3, 251-298 (2022). MSC: 92C10 74D99 76A10 PDFBibTeX XMLCite \textit{J. P. Whiteley} et al., Math. Med. Biol. 39, No. 3, 251--298 (2022; Zbl 1498.92025) Full Text: DOI
Sargood, Alec; Gaffney, Eamonn A.; Krause, Andrew L. Fixed and distributed gene expression time delays in reaction-diffusion systems. (English) Zbl 1497.92093 Bull. Math. Biol. 84, No. 9, Paper No. 98, 29 p. (2022). MSC: 92C40 92C15 35K57 35B36 PDFBibTeX XMLCite \textit{A. Sargood} et al., Bull. Math. Biol. 84, No. 9, Paper No. 98, 29 p. (2022; Zbl 1497.92093) Full Text: DOI arXiv
Walker, B. J.; Ishimoto, K.; Moreau, C.; Gaffney, E. A.; Dalwadi, M. P. Emergent rheotaxis of shape-changing swimmers in Poiseuille flow. (English) Zbl 1510.76229 J. Fluid Mech. 944, Paper No. R2, 11 p. (2022). MSC: 76Z10 76D99 76M45 92C10 PDFBibTeX XMLCite \textit{B. J. Walker} et al., J. Fluid Mech. 944, Paper No. R2, 11 p. (2022; Zbl 1510.76229) Full Text: DOI arXiv
Ayensa-Jiménez, Jacobo; Doweidar, Mohamed H.; Doblaré, Manuel; Gaffney, Eamonn A. Cell dynamics in microfluidic devices under heterogeneous chemotaxis and growth conditions: a mathematical study. arXiv:2210.14217 Preprint, arXiv:2210.14217 [math.AP] (2022). MSC: 92B99 34E20 35Q49 35Q92 35L99 BibTeX Cite \textit{J. Ayensa-Jiménez} et al., ``Cell dynamics in microfluidic devices under heterogeneous chemotaxis and growth conditions: a mathematical study'', Preprint, arXiv:2210.14217 [math.AP] (2022) Full Text: arXiv OA License
Krause, Andrew L.; Klika, Václav; Maini, Philip K.; Headon, Denis; Gaffney, Eamonn A. Isolating patterns in open reaction-diffusion systems. (English) Zbl 1467.92034 Bull. Math. Biol. 83, No. 7, Paper No. 82, 35 p. (2021). MSC: 92C15 35K57 35Q92 PDFBibTeX XMLCite \textit{A. L. Krause} et al., Bull. Math. Biol. 83, No. 7, Paper No. 82, 35 p. (2021; Zbl 1467.92034) Full Text: DOI arXiv
Woolley, Thomas E.; Krause, Andrew L.; Gaffney, Eamonn A. Bespoke Turing systems. (English) Zbl 1460.92028 Bull. Math. Biol. 83, No. 5, Paper No. 41, 32 p. (2021). MSC: 92C15 35K57 PDFBibTeX XMLCite \textit{T. E. Woolley} et al., Bull. Math. Biol. 83, No. 5, Paper No. 41, 32 p. (2021; Zbl 1460.92028) Full Text: DOI
Osojnik, Ana; Gaffney, Eamonn A.; Davies, Michael; Yates, James W. T.; Byrne, Helen M. Identifying and characterising the impact of excitability in a mathematical model of tumour-immune interactions. (English) Zbl 1455.92031 J. Theor. Biol. 501, Article ID 110250, 23 p. (2020). MSC: 92C32 41A60 PDFBibTeX XMLCite \textit{A. Osojnik} et al., J. Theor. Biol. 501, Article ID 110250, 23 p. (2020; Zbl 1455.92031) Full Text: DOI arXiv
Whiteley, Jonathan P.; Gaffney, Eamonn A. Modelling the inclusion of swelling pressure in a tissue level poroviscoelastic model of cartilage deformation. (English) Zbl 1453.92038 Math. Med. Biol. 37, No. 3, 389-428 (2020). MSC: 92C10 35Q92 PDFBibTeX XMLCite \textit{J. P. Whiteley} and \textit{E. A. Gaffney}, Math. Med. Biol. 37, No. 3, 389--428 (2020; Zbl 1453.92038) Full Text: DOI Link
Krause, Andrew L.; Klika, Václav; Halatek, Jacob; Grant, Paul K.; Woolley, Thomas E.; Dalchau, Neil; Gaffney, Eamonn A. Turing patterning in stratified domains. (English) Zbl 1453.92043 Bull. Math. Biol. 82, No. 10, Paper No. 136, 36 p. (2020). MSC: 92C15 35Q92 PDFBibTeX XMLCite \textit{A. L. Krause} et al., Bull. Math. Biol. 82, No. 10, Paper No. 136, 36 p. (2020; Zbl 1453.92043) Full Text: DOI arXiv
Adamer, Michael F.; Harrington, Heather A.; Gaffney, Eamonn A.; Woolley, Thomas E. Coloured noise from stochastic inflows in reaction-diffusion systems. (English) Zbl 1437.92168 Bull. Math. Biol. 82, No. 4, Paper No. 44, 28 p. (2020). MSC: 92E20 35Q92 35K57 60J60 PDFBibTeX XMLCite \textit{M. F. Adamer} et al., Bull. Math. Biol. 82, No. 4, Paper No. 44, 28 p. (2020; Zbl 1437.92168) Full Text: DOI arXiv
Walker, Benjamin J.; Wheeler, Richard J.; Ishimoto, Kenta; Gaffney, Eamonn A. Boundary behaviours of Leishmania mexicana: a hydrodynamic simulation study. (English) Zbl 1406.92074 J. Theor. Biol. 462, 311-320 (2019). MSC: 92C17 76Z10 92C10 PDFBibTeX XMLCite \textit{B. J. Walker} et al., J. Theor. Biol. 462, 311--320 (2019; Zbl 1406.92074) Full Text: DOI arXiv
Dvoriashyna, Mariia; Foss, Alexander J. E.; Gaffney, Eamonn A.; Jensen, Oliver E.; Repetto, Rodolfo Osmotic and electroosmotic fluid transport across the retinal pigment epithelium: a mathematical model. (English) Zbl 1406.92133 J. Theor. Biol. 456, 233-248 (2018). MSC: 92C35 92C05 35Q92 76W05 PDFBibTeX XMLCite \textit{M. Dvoriashyna} et al., J. Theor. Biol. 456, 233--248 (2018; Zbl 1406.92133) Full Text: DOI Link
Ishimoto, Kenta; Gaffney, Eamonn A. An elastohydrodynamical simulation study of filament and spermatozoan swimming driven by internal couples. (English) Zbl 1408.76627 IMA J. Appl. Math. 83, No. 4, 655-679 (2018). MSC: 76Z10 92C10 92C17 92C37 PDFBibTeX XMLCite \textit{K. Ishimoto} and \textit{E. A. Gaffney}, IMA J. Appl. Math. 83, No. 4, 655--679 (2018; Zbl 1408.76627) Full Text: DOI Link
Klika, Václav; Kozák, Michal; Gaffney, Eamonn A. Domain size driven instability: self-organization in systems with advection. (English) Zbl 1396.35035 SIAM J. Appl. Math. 78, No. 5, 2298-2322 (2018). MSC: 35K57 35B36 92C15 35Q92 PDFBibTeX XMLCite \textit{V. Klika} et al., SIAM J. Appl. Math. 78, No. 5, 2298--2322 (2018; Zbl 1396.35035) Full Text: DOI
Ishimoto, Kenta; Gadêlha, Hermes; Gaffney, Eamonn A.; Smith, David J.; Kirkman-Brown, Jackson Human sperm swimming in a high viscosity mucus analogue. (English) Zbl 1397.92055 J. Theor. Biol. 446, 1-10 (2018). MSC: 92C10 92C35 76Z10 PDFBibTeX XMLCite \textit{K. Ishimoto} et al., J. Theor. Biol. 446, 1--10 (2018; Zbl 1397.92055) Full Text: DOI
Klika, Václav; Gaffney, Eamonn A. History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability. (English) Zbl 1404.35458 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2199, Article ID 20160744, 19 p. (2017). MSC: 35Q92 92C15 35K57 35K51 PDFBibTeX XMLCite \textit{V. Klika} and \textit{E. A. Gaffney}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2199, Article ID 20160744, 19 p. (2017; Zbl 1404.35458) Full Text: DOI
Roberts, Paul A.; Gaffney, Eamonn A.; Luthert, Philip J.; Foss, Alexander J. E.; Byrne, Helen M. Mathematical models of retinitis pigmentosa: the oxygen toxicity hypothesis. (English) Zbl 1381.92050 J. Theor. Biol. 425, 53-71 (2017). MSC: 92C50 35Q92 PDFBibTeX XMLCite \textit{P. A. Roberts} et al., J. Theor. Biol. 425, 53--71 (2017; Zbl 1381.92050) Full Text: DOI Link
Humphries, D. L.; Grogan, J. A.; Gaffney, E. A. Mechanical cell-cell communication in fibrous networks: the importance of network geometry. (English) Zbl 1373.92035 Bull. Math. Biol. 79, No. 3, 498-524 (2017). MSC: 92C37 92C10 PDFBibTeX XMLCite \textit{D. L. Humphries} et al., Bull. Math. Biol. 79, No. 3, 498--524 (2017; Zbl 1373.92035) Full Text: DOI
Yi, Fengqi; Gaffney, Eamonn A.; Seirin-Lee, Sungrim The bifurcation analysis of Turing pattern formation induced by delay and diffusion in the Schnakenberg system. (English) Zbl 1360.35016 Discrete Contin. Dyn. Syst., Ser. B 22, No. 2, 647-668 (2017). MSC: 35B32 37G15 35B36 92C15 37L10 PDFBibTeX XMLCite \textit{F. Yi} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 2, 647--668 (2017; Zbl 1360.35016) Full Text: DOI
Hutchinson, L. G.; Gaffney, E. A.; Maini, P. K.; Wagg, J.; Phipps, A.; Byrne, H. M. Vascular phenotype identification and anti-angiogenic treatment recommendation: a pseudo-multiscale mathematical model of angiogenesis. (English) Zbl 1343.92226 J. Theor. Biol. 398, 162-180 (2016). MSC: 92C50 92C15 PDFBibTeX XMLCite \textit{L. G. Hutchinson} et al., J. Theor. Biol. 398, 162--180 (2016; Zbl 1343.92226) Full Text: DOI
Ishimoto, Kenta; Cosson, Jacky; Gaffney, Eamonn A. A simulation study of sperm motility hydrodynamics near fish eggs and spheres. (English) Zbl 1343.92048 J. Theor. Biol. 389, 187-197 (2016). MSC: 92C10 76Z10 PDFBibTeX XMLCite \textit{K. Ishimoto} et al., J. Theor. Biol. 389, 187--197 (2016; Zbl 1343.92048) Full Text: DOI
Roberts, Paul A.; Gaffney, Eamonn A.; Luthert, Philip J.; Foss, Alexander J. E.; Byrne, Helen M. Retinal oxygen distribution and the role of neuroglobin. (English) Zbl 1343.92114 J. Math. Biol. 73, No. 1, 1-38 (2016). MSC: 92C35 92C30 35K57 PDFBibTeX XMLCite \textit{P. A. Roberts} et al., J. Math. Biol. 73, No. 1, 1--38 (2016; Zbl 1343.92114) Full Text: DOI Link
Korvasová, K.; Gaffney, E. A.; Maini, P. K.; Ferreira, M. A.; Klika, V. Investigating the Turing conditions for diffusion-driven instability in the presence of a binding immobile substrate. (English) Zbl 1412.92139 J. Theor. Biol. 367, 286-295 (2015). MSC: 92C45 92C40 PDFBibTeX XMLCite \textit{K. Korvasová} et al., J. Theor. Biol. 367, 286--295 (2015; Zbl 1412.92139) Full Text: DOI
Woolley, Thomas E.; Gaffney, Eamonn A.; Oliver, James M.; Waters, Sarah L.; Baker, Ruth E.; Goriely, Alain Global contraction or local growth, bleb shape depends on more than just cell structure. (English) Zbl 1343.92140 J. Theor. Biol. 380, 83-97 (2015). MSC: 92C37 92C10 PDFBibTeX XMLCite \textit{T. E. Woolley} et al., J. Theor. Biol. 380, 83--97 (2015; Zbl 1343.92140) Full Text: DOI
Gaffney, E. A.; Lee, S. Seirin The sensitivity of Turing self-organization to biological feedback delays: 2D models of fish pigmentation. (English) Zbl 1325.92015 Math. Med. Biol. 32, No. 1, 56-78 (2015). MSC: 92C15 PDFBibTeX XMLCite \textit{E. A. Gaffney} and \textit{S. S. Lee}, Math. Med. Biol. 32, No. 1, 56--78 (2015; Zbl 1325.92015) Full Text: DOI
Al-Shammari, Abdullah A.; Gaffney, Eamonn A.; Egginton, Stuart Modelling capillary oxygen supply capacity in mixed muscles: capillary domains revisited. (English) Zbl 1412.92044 J. Theor. Biol. 356, 47-61 (2014). MSC: 92C30 92C50 PDFBibTeX XMLCite \textit{A. A. Al-Shammari} et al., J. Theor. Biol. 356, 47--61 (2014; Zbl 1412.92044) Full Text: DOI Link
Markham, Deborah C.; Simpson, Matthew J.; Maini, Philip K.; Gaffney, Eamonn A.; Baker, Ruth E. Comparing methods for modelling spreading cell fronts. (English) Zbl 1412.92024 J. Theor. Biol. 353, 95-103 (2014). MSC: 92C17 PDFBibTeX XMLCite \textit{D. C. Markham} et al., J. Theor. Biol. 353, 95--103 (2014; Zbl 1412.92024) Full Text: DOI Link
Gilbert, Mark A.; White, Steven M.; Bullock, James M.; Gaffney, Eamonn A. Spreading speeds for stage structured plant populations in fragmented landscapes. (English) Zbl 1412.92308 J. Theor. Biol. 349, 135-149 (2014). MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{M. A. Gilbert} et al., J. Theor. Biol. 349, 135--149 (2014; Zbl 1412.92308) Full Text: DOI Link
Ishimoto, Kenta; Gaffney, Eamonn A. A study of spermatozoan swimming stability near a surface. (English) Zbl 1343.92049 J. Theor. Biol. 360, 187-199 (2014). MSC: 92C10 76Z10 PDFBibTeX XMLCite \textit{K. Ishimoto} and \textit{E. A. Gaffney}, J. Theor. Biol. 360, 187--199 (2014; Zbl 1343.92049) Full Text: DOI
Al-Shammari, A. A.; Gaffney, E. A.; Egginton, S. Modelling oxygen capillary supply to striated muscle tissues. (English) Zbl 1332.92015 Ansari, Ali R. (ed.), Advances in applied mathematics. Selected papers based on the presentations at the 1st Gulf international conference on applied mathematics 2013, GICAM ’13, Kuwait City, Kuwait, in cooperation with the Society for Industrial and Applied Mathematics, SIAM, November 19–21, 2013. Cham: Springer (ISBN 978-3-319-06922-7/hbk; 978-3-319-06923-4/ebook). Springer Proceedings in Mathematics & Statistics 87, 13-21 (2014). MSC: 92C35 92C50 PDFBibTeX XMLCite \textit{A. A. Al-Shammari} et al., Springer Proc. Math. Stat. 87, 13--21 (2014; Zbl 1332.92015) Full Text: DOI Link
Gilbert, Mark A.; Gaffney, Eamonn A.; Bullock, James M.; White, Steven M. Spreading speeds for plant populations in landscapes with low environmental variation. (English) Zbl 1309.92079 J. Theor. Biol. 363, 436-452 (2014). MSC: 92D40 92D25 92C60 35R09 PDFBibTeX XMLCite \textit{M. A. Gilbert} et al., J. Theor. Biol. 363, 436--452 (2014; Zbl 1309.92079) Full Text: DOI Link
McGillen, Jessica B.; Kelly, Catherine J.; Martínez-González, Alicia; Martin, Natasha K.; Gaffney, Eamonn A.; Maini, Philip K.; Pérez-García, Víctor M. Glucose-lactate metabolic cooperation in cancer: insights from a spatial mathematical model and implications for targeted therapy. (English) Zbl 1303.92032 J. Theor. Biol. 361, 190-203 (2014). MSC: 92C40 92C50 PDFBibTeX XMLCite \textit{J. B. McGillen} et al., J. Theor. Biol. 361, 190--203 (2014; Zbl 1303.92032) Full Text: DOI
Woolley, Thomas E.; Gaffney, Eamonn A.; Waters, Sarah L.; Oliver, James M.; Baker, Ruth E.; Goriely, Alain Three mechanical models for blebbing and multi-blebbing. (English) Zbl 1330.92020 IMA J. Appl. Math. 79, No. 4, 636-660 (2014). MSC: 92C10 74K15 92C37 PDFBibTeX XMLCite \textit{T. E. Woolley} et al., IMA J. Appl. Math. 79, No. 4, 636--660 (2014; Zbl 1330.92020) Full Text: DOI
McGillen, Jessica B.; Gaffney, Eamonn A.; Martin, Natasha K.; Maini, Philip K. A general reaction-diffusion model of acidity in cancer invasion. (English) Zbl 1288.35186 J. Math. Biol. 68, No. 5, 1199-1224 (2014). MSC: 35C20 35K55 35K57 65M20 92C50 35C07 35B40 PDFBibTeX XMLCite \textit{J. B. McGillen} et al., J. Math. Biol. 68, No. 5, 1199--1224 (2014; Zbl 1288.35186) Full Text: DOI
Belmonte-Beitia, Juan; Woolley, T. E.; Scott, J. G.; Maini, P. K.; Gaffney, E. A. Modelling biological invasions: individual to population scales at interfaces. (English) Zbl 1397.92091 J. Theor. Biol. 334, 1-12 (2013). MSC: 92C17 92D25 35Q92 PDFBibTeX XMLCite \textit{J. Belmonte-Beitia} et al., J. Theor. Biol. 334, 1--12 (2013; Zbl 1397.92091) Full Text: DOI Link
Seirin Lee, S.; Baker, R. E.; Gaffney, E. A.; White, S. M. Modelling Aedes aegypti mosquito control via transgenic and sterile insect techniques: endemics and emerging outbreaks. (English) Zbl 1330.92134 J. Theor. Biol. 331, 78-90 (2013). MSC: 92D30 PDFBibTeX XMLCite \textit{S. Seirin Lee} et al., J. Theor. Biol. 331, 78--90 (2013; Zbl 1330.92134) Full Text: DOI
Zubkov, V. S.; Breward, C. J. W.; Gaffney, E. A. Meniscal tear film fluid dynamics near Marx’s line. (English) Zbl 1272.92008 Bull. Math. Biol. 75, No. 9, 1524-1543 (2013). MSC: 92C35 76D05 PDFBibTeX XMLCite \textit{V. S. Zubkov} et al., Bull. Math. Biol. 75, No. 9, 1524--1543 (2013; Zbl 1272.92008) Full Text: DOI
Curtis, M. P.; Kirkman-Brown, J. C.; Connolly, T. J.; Gaffney, E. A. Modelling a tethered mammalian sperm cell undergoing hyperactivation. (English) Zbl 1411.92035 J. Theor. Biol. 309, 1-10 (2012). MSC: 92C17 92C10 PDFBibTeX XMLCite \textit{M. P. Curtis} et al., J. Theor. Biol. 309, 1--10 (2012; Zbl 1411.92035) Full Text: DOI
Shum, H.; Gaffney, E. A. The effects of flagellar hook compliance on motility of monotrichous bacteria: a modeling study. (English) Zbl 1309.76239 Phys. Fluids 24, No. 6, Paper No. 061901, 19 p. (2012). MSC: 76Z10 92C35 92C17 PDFBibTeX XMLCite \textit{H. Shum} and \textit{E. A. Gaffney}, Phys. Fluids 24, No. 6, Paper No. 061901, 19 p. (2012; Zbl 1309.76239) Full Text: DOI Link
McGillen, Jessica B.; Martin, Natasha K.; Robey, Ian F.; Gaffney, Eamonn A.; Maini, Philip K. Applications of mathematical analysis to tumour acidity modelling. (English) Zbl 1260.34092 RIMS Kôkyûroku Bessatsu B31, 31-59 (2012). MSC: 34C60 92C37 35C07 35Q92 PDFBibTeX XMLCite \textit{J. B. McGillen} et al., RIMS Kôkyûroku Bessatsu B31, 31--59 (2012; Zbl 1260.34092) Full Text: Link
Al-Shammari, A. A.; Gaffney, E. A.; Egginton, S. Re-evaluating the use of Voronoi tessellations in the assessment of oxygen supply from capillaries in muscle. (English) Zbl 1256.92022 Bull. Math. Biol. 74, No. 9, 2204-2231 (2012). MSC: 92C50 92C30 65D18 35Q92 PDFBibTeX XMLCite \textit{A. A. Al-Shammari} et al., Bull. Math. Biol. 74, No. 9, 2204--2231 (2012; Zbl 1256.92022) Full Text: DOI Link
Zubkov, V. S.; Breward, C. J. W.; Gaffney, E. A. Coupling fluid and solute dynamics within the ocular surface tear film: a modelling study of black line osmolarity. (English) Zbl 1256.92014 Bull. Math. Biol. 74, No. 9, 2062-2093 (2012). MSC: 92C30 92C35 65C20 PDFBibTeX XMLCite \textit{V. S. Zubkov} et al., Bull. Math. Biol. 74, No. 9, 2062--2093 (2012; Zbl 1256.92014) Full Text: DOI
Klika, Václav; Baker, Ruth E.; Headon, Denis; Gaffney, Eamonn A. The influence of receptor-mediated interactions on reaction-diffusion mechanisms of cellular self-organisation. (English) Zbl 1235.92010 Bull. Math. Biol. 74, No. 4, 935-957 (2012). MSC: 92C15 35K57 65C20 35Q92 PDFBibTeX XMLCite \textit{V. Klika} et al., Bull. Math. Biol. 74, No. 4, 935--957 (2012; Zbl 1235.92010) Full Text: DOI Link
Seirin Lee, S.; Gaffney, E. A.; Baker, R. E. The dynamics of Turing patterns for morphogen-regulated growing domains with cellular response delays. (English) Zbl 1334.92044 Bull. Math. Biol. 73, No. 11, 2527-2551 (2011). MSC: 92C15 PDFBibTeX XMLCite \textit{S. Seirin Lee} et al., Bull. Math. Biol. 73, No. 11, 2527--2551 (2011; Zbl 1334.92044) Full Text: DOI
Schofield, J. W.; Gaffney, E. A.; Gatenby, R. A.; Maini, P. K. Tumour angiogenesis: the gap between theory and experiments. (English) Zbl 1331.92069 J. Theor. Biol. 274, 97-102 (2011). MSC: 92C50 92C37 PDFBibTeX XMLCite \textit{J. W. Schofield} et al., J. Theor. Biol. 274, 97--102 (2011; Zbl 1331.92069) Full Text: DOI Link
Boston, Eleanor A. J.; Gaffney, Eamonn A. The influence of toxicity constraints in models of chemotherapeutic protocol escalation. (English) Zbl 1228.92032 Math. Med. Biol. 28, No. 4, 357-384 (2011). MSC: 92C50 92C45 35Q92 93A30 65C20 PDFBibTeX XMLCite \textit{E. A. J. Boston} and \textit{E. A. Gaffney}, Math. Med. Biol. 28, No. 4, 357--384 (2011; Zbl 1228.92032) Full Text: DOI Link
Martin, Natasha K.; Gaffney, Eamonn A.; Gatenby, Robert A.; Gillies, Robert J.; Robey, Ian F.; Maini, Philip K. A mathematical model of tumour and blood pHe regulation: the \(\mathrm{HCO}^-_3/\mathrm{CO}_2\) buffering system. (English) Zbl 1215.92032 Math. Biosci. 230, No. 1, 1-11 (2011). MSC: 92C50 93A30 37N25 34A99 65C20 PDFBibTeX XMLCite \textit{N. K. Martin} et al., Math. Biosci. 230, No. 1, 1--11 (2011; Zbl 1215.92032) Full Text: DOI Link
Gaffney, E. A.; Gadêlha, H.; Smith, D. J.; Blake, J. R.; Kirkman-Brown, J. C. Mammalian sperm motility: observation and theory. (English) Zbl 1299.76318 Davis, Stephen H. (ed.) et al., Annual review of fluid mechanics. Vol. 43. Palo Alto, CA: Annual Reviews (ISBN 978-0-8243-0743-1/hbk). Annual Review of Fluid Mechanics 43, 501-528 (2011). MSC: 76Z05 74F10 92C35 PDFBibTeX XMLCite \textit{E. A. Gaffney} et al., Annu. Rev. Fluid Mech. 43, 501--528 (2011; Zbl 1299.76318) Full Text: DOI Link
Martin, Natasha K.; Gaffney, Eamonn A.; Gatenby, Robert A.; Maini, Philip K. Tumour-stromal interactions in acid-mediated invasion: a mathematical model. (English) Zbl 1410.92036 J. Theor. Biol. 267, No. 3, 461-470 (2010). MSC: 92C37 92C40 35Q92 PDFBibTeX XMLCite \textit{N. K. Martin} et al., J. Theor. Biol. 267, No. 3, 461--470 (2010; Zbl 1410.92036) Full Text: DOI
Martin, Natasha K.; Gaffney, Eamonn A.; Gatenby, Robert A.; Maini, Philip K. Leaky vessels as a potential source of stromal acidification in tumours. (English) Zbl 1410.92051 J. Theor. Biol. 267, No. 3, 454-460 (2010). MSC: 92C50 92C40 PDFBibTeX XMLCite \textit{N. K. Martin} et al., J. Theor. Biol. 267, No. 3, 454--460 (2010; Zbl 1410.92051) Full Text: DOI Link
Seirin lee, S.; Gaffney, E. A. Aberrant behaviours of reaction diffusion self-organisation models on growing domains in the presence of gene expression time delays. (English) Zbl 1201.92023 Bull. Math. Biol. 72, No. 8, 2161-2179 (2010). MSC: 92C15 35Q92 92D10 35K57 PDFBibTeX XMLCite \textit{S. Seirin lee} and \textit{E. A. Gaffney}, Bull. Math. Biol. 72, No. 8, 2161--2179 (2010; Zbl 1201.92023) Full Text: DOI Link
Lee, S. Seirin; Gaffney, E. A.; Monk, N. A. M. The influence of gene expression time delays on Gierer-Meinhardt pattern formation systems. (English) Zbl 1201.92021 Bull. Math. Biol. 72, No. 8, 2139-2160 (2010). MSC: 92C15 92C37 35Q92 35R99 PDFBibTeX XMLCite \textit{S. S. Lee} et al., Bull. Math. Biol. 72, No. 8, 2139--2160 (2010; Zbl 1201.92021) Full Text: DOI
Madzvamuse, Anotida; Gaffney, Eamonn A.; Maini, Philip K. Stability analysis of non-autonomous reaction-diffusion systems: The effects of growing domains. (English) Zbl 1202.92010 J. Math. Biol. 61, No. 1, 133-164 (2010). MSC: 92C15 35K57 65C60 PDFBibTeX XMLCite \textit{A. Madzvamuse} et al., J. Math. Biol. 61, No. 1, 133--164 (2010; Zbl 1202.92010) Full Text: DOI Link
Shum, H.; Gaffney, E. A.; Smith, D. J. Modelling bacterial behaviour close to a no-slip plane boundary: the influence of bacterial geometry. (English) Zbl 1187.92016 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2118, 1725-1748 (2010). MSC: 92C17 92C35 76M15 76D07 PDFBibTeX XMLCite \textit{H. Shum} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2118, 1725--1748 (2010; Zbl 1187.92016) Full Text: DOI Link
Moreo, P.; Gaffney, E. A.; García-Aznar, J. M.; Doblaré, M. On the modelling of biological patterns with mechanochemical models: insights from analysis and computation. (English) Zbl 1185.92011 Bull. Math. Biol. 72, No. 2, 400-431 (2010). MSC: 92C15 92C37 35Q92 65C20 92C05 65M60 65N30 PDFBibTeX XMLCite \textit{P. Moreo} et al., Bull. Math. Biol. 72, No. 2, 400--431 (2010; Zbl 1185.92011) Full Text: DOI
Monro, Helen C.; Gaffney, Eamonn A. Modelling chemotherapy resistance in palliation and failed cure. (English) Zbl 1400.92274 J. Theor. Biol. 257, No. 2, 292-302 (2009). MSC: 92C50 PDFBibTeX XMLCite \textit{H. C. Monro} and \textit{E. A. Gaffney}, J. Theor. Biol. 257, No. 2, 292--302 (2009; Zbl 1400.92274) Full Text: DOI Link
Smith, D. J.; Gaffney, E. A.; Blake, J. R. Mathematical modelling of cilia-driven transport of biological fluids. (English) Zbl 1186.76706 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2108, 2417-2439 (2009). MSC: 76Z05 92C35 PDFBibTeX XMLCite \textit{D. J. Smith} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2108, 2417--2439 (2009; Zbl 1186.76706) Full Text: DOI Link Link
Smith, D. J.; Gaffney, E. A.; Blake, J. R.; Kirkman-Brown, J. C. Human sperm accumulation near surfaces: a simulation study. (English) Zbl 1171.76476 J. Fluid Mech. 621, 289-320 (2009). MSC: 76Z05 92C35 76M15 PDFBibTeX XMLCite \textit{D. J. Smith} et al., J. Fluid Mech. 621, 289--320 (2009; Zbl 1171.76476) Full Text: DOI
Gaffney, E. A.; Heath, J. K.; Kwiatkowska, M. Z. A mass action model of a fibroblast growth factor signaling pathway and its simplification. (English) Zbl 1169.92012 Bull. Math. Biol. 70, No. 8, 2229-2263 (2008). MSC: 92C30 37N25 PDFBibTeX XMLCite \textit{E. A. Gaffney} et al., Bull. Math. Biol. 70, No. 8, 2229--2263 (2008; Zbl 1169.92012) Full Text: DOI Link
Baker, R. E.; Gaffney, E. A.; Maini, P. K. Partial differential equations for self-organization in cellular and developmental biology. (English) Zbl 1159.35003 Nonlinearity 21, No. 11, R251-R290 (2008). Reviewer: J. M. Tchuenche (Dar es Salaam) MSC: 35-02 92-02 92B05 91B76 PDFBibTeX XMLCite \textit{R. E. Baker} et al., Nonlinearity 21, No. 11, R251--R290 (2008; Zbl 1159.35003) Full Text: DOI
Smith, D. J.; Gaffney, E. A.; Blake, J. R. Discrete cilia modelling with singularity distributions: Application to the embryonic node and the airway surface liquid. (English) Zbl 1298.92039 Bull. Math. Biol. 69, No. 5, 1477-1510 (2007). MSC: 92C37 PDFBibTeX XMLCite \textit{D. J. Smith} et al., Bull. Math. Biol. 69, No. 5, 1477--1510 (2007; Zbl 1298.92039) Full Text: DOI
Smith, D. J.; Gaffney, E. A.; Blake, J. R. Erratum: “A viscoelastic traction layer model of muco-ciliary transport”. (English) Zbl 1311.92059 Bull. Math. Biol. 69, No. 4, 1449 (2007). MSC: 92C35 PDFBibTeX XMLCite \textit{D. J. Smith} et al., Bull. Math. Biol. 69, No. 4, 1449 (2007; Zbl 1311.92059) Full Text: DOI
Smith, D. J.; Gaffney, E. A.; Blake, J. R. A model of tracer transport in airway surface liquid. (English) Zbl 1298.92034 Bull. Math. Biol. 69, No. 3, 817-836 (2007). MSC: 92C35 76Z05 PDFBibTeX XMLCite \textit{D. J. Smith} et al., Bull. Math. Biol. 69, No. 3, 817--836 (2007; Zbl 1298.92034) Full Text: DOI Link
Lubkin, D. J.; Gaffney, E. A.; Blake, J. R. A viscoelastic traction layer model of muco-ciliary transport. (English) Zbl 1133.92309 Bull. Math. Biol. 69, No. 1, 289-327 (2007); erratum ibid. 69, No. 4, 1449 (2007). MSC: 92C35 42A16 35Q92 PDFBibTeX XMLCite \textit{D. J. Lubkin} et al., Bull. Math. Biol. 69, No. 1, 289--327 (2007; Zbl 1133.92309) Full Text: DOI
Gaffney, E. A.; Monk, N. A. M. Gene expression time delays and Turing pattern formation systems. (English) Zbl 1334.92157 Bull. Math. Biol. 68, No. 1, 99-130 (2006). MSC: 92C42 92C15 92C40 PDFBibTeX XMLCite \textit{E. A. Gaffney} and \textit{N. A. M. Monk}, Bull. Math. Biol. 68, No. 1, 99--130 (2006; Zbl 1334.92157) Full Text: DOI
Gaffney, E. A. The mathematical modelling of adjuvant chemotherapy scheduling: incorporating the effects of protocol rest phases and pharmacokinetics. (English) Zbl 1334.92199 Bull. Math. Biol. 67, No. 3, 563-611 (2005). MSC: 92C50 92C40 PDFBibTeX XMLCite \textit{E. A. Gaffney}, Bull. Math. Biol. 67, No. 3, 563--611 (2005; Zbl 1334.92199) Full Text: DOI
Gaffney, E. A. The application of mathematical modelling to aspects of adjuvant chemotherapy scheduling. (English) Zbl 1063.92029 J. Math. Biol. 48, No. 4, 375-422 (2004). MSC: 92C50 92C37 PDFBibTeX XMLCite \textit{E. A. Gaffney}, J. Math. Biol. 48, No. 4, 375--422 (2004; Zbl 1063.92029) Full Text: DOI
Gaffney, E. A.; Pugh, K.; Maini, P. K.; Arnold, F. Investigating a simple model of cutaneous wound healing angiogenesis. (English) Zbl 1012.92020 J. Math. Biol. 45, No. 4, 337-374 (2002). MSC: 92C50 35Q92 PDFBibTeX XMLCite \textit{E. A. Gaffney} et al., J. Math. Biol. 45, No. 4, 337--374 (2002; Zbl 1012.92020) Full Text: DOI Link
Crampin, Edmund J.; Gaffney, Eamonn A.; Maini, Philip K. Reaction and diffusion on growing domains: scenarios for robust pattern formation. (English) Zbl 1323.92028 Bull. Math. Biol. 61, No. 6, 1093-1120 (1999). MSC: 92C15 35K57 PDFBibTeX XMLCite \textit{E. J. Crampin} et al., Bull. Math. Biol. 61, No. 6, 1093--1120 (1999; Zbl 1323.92028) Full Text: DOI Link
Gaffney, E. A.; Maini, P. K.; McCaig, C. D.; Zhao, M.; Forrester, J. V. Modelling corneal epithelial wound closure in the presence of physiological electric fields via a moving boundary formalism. (English) Zbl 0982.92014 IMA J. Math. Appl. Med. Biol. 16, No. 4, 369-393 (1999). MSC: 92C50 35R35 92C05 PDFBibTeX XMLCite \textit{E. A. Gaffney} et al., IMA J. Math. Appl. Med. Biol. 16, No. 4, 369--393 (1999; Zbl 0982.92014) Full Text: DOI
Gaffney, Eamonn A.; Maini, Philip K.; Sherratt, Jonathan A.; Dale, Paul D. Wound healing in the corneal epithelium: Biological mechanisms and mathematical models. (English) Zbl 0900.92080 J. Theor. Med. 1, No. 1, 13-23 (1997). MSC: 92C50 PDFBibTeX XMLCite \textit{E. A. Gaffney} et al., J. Theor. Med. 1, No. 1, 13--23 (1997; Zbl 0900.92080) Full Text: DOI EuDML