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2023

Oliveira, Hugo L. and Buscaglia, Gustavo C. and Paz, Rodrigo R. and Del Pin, Facundo and Cuminato, José A. and Kerr, Monica and McKee, Sean and Stewart, Iain W. and Wheatley, David J. (2023) Three-dimensional fluid–structure interaction simulation of the Wheatley aortic valve. International Journal for Numerical Methods in Biomedical Engineering, 40 (2). e3792. ISSN 2040-7939

Kerr, M.M. and McCormick, C. and Reid, S. and Stewart, I. and McKee, S. and Oliveira, H. and Wheatley, D.J. (2023) Pioneering a novel synthetic heart valve. In: BioMedEng2023, 2023-09-14 - 2023-09-15, Swansea University.

2022

Bieniasz, Lesław K. and Vynnycky, Michael and McKee, Sean (2022) Integral equation-based simulation of transient experiments for an EC2 mechanism : beyond the steady state simplification. Electrochimica Acta, 428. 140896. ISSN 0013-4686

McKee, S (2022) Nothing is set in stone. Mathematics Today, 58 (4). ISSN 1361-2042

Oliveira, H L and McKee, S and Buscaglia, G C and Cuminato, J A and Stewart, I W and Wheatley, D J (2022) A generalized mathematical representation of the shape of the Wheatley heart valve and the associated static stress fields upon opening and closing. IMA Journal of Applied Mathematics. hxac016. ISSN 1464-3634

Rebolledo, Ramiro J and McKee, Sean and Cuminato, José Alberto and Stewart, Iain W and Wheatley, David (2022) Regularization of a mathematical model of the Wheatley heart valve. Journal of Biomechanical Engineering, 145 (1). BIO-21-1427. ISSN 0148-0731

Bieniasz, L.K. and McKee, S. and Sleeman, B.D. (2022) A generalized Jaeger ℐ(0,1;t) integral, resulting from mathematical modelling in electroanalytical chemistry. Journal of Computational and Applied Mathematics, 407. 114090. ISSN 0377-0427

2021

McKee, S. and Cuminato, J. A. and Stewart, I. W. and Wheatley, D. J. (2021) A mathematical representation of the Wheatley heart valve. Journal of Biomechanical Engineering, 143 (8). 081006. ISSN 0148-0731

2019

Cruz, Pedro A. and Tomé, Murilo F. and McKee, Sean and Stewart, Iain W. (2019) Numerical solution of the Ericksen-Leslie model for liquid crystalline polymers free surface flows. Journal of Non-Newtonian Fluid Mechanics, 268. pp. 30-45. ISSN 0377-0257

McKittrick, Craig M. and McKee, Sean and Kennedy, Simon and Oldroyd, Keith and Wheel, Marcus and Pontrelli, Giuseppe and Dixon, Simon and McGinty, Sean and McCormick, Christopher (2019) Combining mathematical modelling with in vitro experiments to predict in vivo drug-eluting stent performance. Journal of Controlled Release, 303. pp. 151-161. ISSN 0168-3659

Vynnycky, Michael and McKee, Sean and Meere, Martin and McCormick, Christopher and McGinty, Sean (2019) Asymptotic analysis of drug dissolution in two layers having widely differing diffusivities. IMA Journal of Applied Mathematics, 84 (3). pp. 533-554. ISSN 1464-3634

2018

Vo, Tuoi T. N. and Morgan, Sarah and McCormick, Christopher and McGinty, Sean and McKee, Sean and Meere, Martin (2018) Modelling drug release from polymer-free coronary stents with microporous surfaces. International Journal of Pharmaceutics, 544 (2). pp. 392-401. ISSN 1873-3476

2017

McGinty, Sean and McCormick, Christopher and McKittrick, Craig Martin and Kennedy, Simon and Oldroyd, Keith G. and Wheel, Marcus and Scullion, Bryan and Pontrelli, Giuseppe and McKee, Sean; Nithiarasu, P. and Robertson, A.M., eds. (2017) Combining mathematical modelling with in-vitro experiments to predict in-vivo drug-eluting stent kinetics. In: 5th International Conference on Computational and Mathematical Biomedical Engineering (CMBE2017). Zeta Computational Resources Ltd., USA, pp. 1011-1014. ISBN 9780956291448

McGinty, Sean and Hyndman, Lauren and Mottram, Nigel and McKee, Sean and Webb, Steven; Nithiarasu, Perumal and Robertson, Anne M., eds. (2017) In-silico characterisation of the Kirkstall QV900 in-vitro system for advanced cell culture. In: CMBE17. Zeta Computational Resources Ltd., USA, pp. 1174-1177. ISBN 9780956291448

Knox, D. J. and Duffy, B. R. and McKee, S. and Wilson, S. K. (2017) Squeeze-film flow between a curved impermeable bearing and a flat porous bed. Physics of Fluids, 29 (2). 023101. ISSN 1070-6631

2016

McKee, S. and Cuminato, José A. and Mohanty, R. K. (2016) On the convergence of a finite difference scheme for a second order differential equation containing nonlinearly a first derivative. Neural, Parallel and Scientific Computations, 24. pp. 269-276. ISSN 1061-5369

McGinty, Sean and Wheel, Marcus and McKee, Sean and McCormick, Christopher (2016) Corrigendum to "Does anisotropy promote spatial uniformity of stent-delivered drug distribution in arterial tissue?" [Int. J. Heat Mass Transfer 90 (2015) 266-279]. International Journal of Heat and Mass Transfer, 96. pp. 699-702. ISSN 0017-9310

McKee, Sean and Dougall, Ewan A and Mottram, Nigel J (2016) Analytic solutions of a simple advection-diffusion model of an oxygen transfer device. Journal of Mathematics in Industry, 6. 3. ISSN 2190-5983

2015

McGinty, Sean and Wheel, Marcus and McKee, Sean and McCormick, Christopher (2015) Does anisotropy promote spatial uniformity of stent-delivered drug distribution in arterial tissue? International Journal of Heat and Mass Transfer, 90. pp. 266-279. ISSN 0017-9310

Stewart, I. W. and Vynnycky, M. and McKee, S. and Tomé, M. F. (2015) Boundary layers in pressure-driven flow in smectic A liquid crystals. SIAM Journal on Applied Mathematics, 75 (4). pp. 1817-1851. ISSN 1095-712X

McGinty, Sean and Wheel, Marcus and McKee, Sean and McCormick, Christopher and McKittrick, Craig and Kennedy, Simon and Oldroyd, Keith G.; Nithiarasu, Perumal and Budyn, Elisa, eds. (2015) Can anisotropy enhance the spatial uniformity of drug distribution in biological tissue? In: 4th International Conference on Computational & Mathematical Biomedical Engineering. CMBE, FRA, pp. 194-197. ISBN 9780956291431

McKee, Sean and McGinty, Sean; Bissell, John and Caiado, Camila and Curtis, Sarah and Goldstein, Michael and Straughan, Brian, eds. (2015) Stents, blood flow and pregnancy : mathematical modelling in the raw. In: Tipping Points. Wiley Series in Computational and Quantitative Social Science . John Wiley & Sons Inc.. ISBN 9781118752753

McKee, S. and Cuminato, J. A. (2015) Nonlocal diffusion, a Mittag-Leffler function and a two-dimensional Volterra integral equation. Journal of Mathematical Analysis and Applications, 423 (1). pp. 243-252. ISSN 0022-247X

Knox, D.J. and Wilson, S.K. and Duffy, B.R. and McKee, S. (2015) Porous squeeze-film flow. IMA Journal of Applied Mathematics, 80 (2). pp. 376-409. ISSN 1464-3634

McGinty, Sean and McKee, Sean and McCormick, Christopher and Wheel, Marcus (2015) Release mechanism and parameter estimation in drug-eluting stent systems : analytical solutions of drug release and tissue transport. Mathematical Medicine and Biology, 32 (2). pp. 163-186. ISSN 1477-8599

McGinty, Sean and Vo, Tuoi T. N. and Meere, Martin and McKee, Sean and McCormick, Christopher (2015) Some design considerations for polymer-free drug-eluting stents : a mathematical approach. Acta Biomaterialia. ISSN 1742-7061

2014

Young, Andrew and Gourlay, Terry and McKee, Sean and Danton, Mark H.D. (2014) Computational modelling of the hybrid procedure in hypoplastic left heart syndrome : a comparison of zero-dimensional and three-dimensional approach. Medical Engineering and Physics, 36 (11). pp. 1549-1553. ISSN 1873-4030

McGinty, Sean and McKee, Sean (2014) Blade shape of a Troposkein type of vertical axis wind turbine. Mathematical Spectrum, 47 (2). pp. 51-60.

2013

McGinty, Sean and McKee, Sean and Wadsworth, Roger and McCormick, Christopher (2013) Modelling arterial wall drug concentrations following the insertion of a drug-eluting stent. SIAM Journal on Applied Mathematics, 73 (6). pp. 2004-2028. ISSN 1095-712X

Young, Andrew and Gourlay, Terry and McKee, Sean and Danton, Mark H.D. (2013) Computational modelling to optimize the hybrid configuration for hypoplastic left heart syndrome. European Journal of Cardio-Thoracic Surgery, 44 (4). pp. 664-672. ISSN 1010-7940

Cruz, P.A. and Tome, Murilo F. and Stewart, Iain W. and McKee, Sean (2013) Numerical solution of the Ericksen–Leslie dynamic equations for two-dimensional nematic liquid crystal flows. Journal of Computational Physics, 247. pp. 109-136. ISSN 0021-9991

McGinty, Sean and McCormick, Christopher and McKee, Sean and Wheel, Marcus and Kennedy, Simon and Oldroyd, Keith G. (2013) Simulating drug-eluting stents : progress made and the way forward. In: Special Session on Modelling and Simulation in Biology and Medicine (BIOMED 2013), 2013-07-29 - 2013-07-31.

Ferreira, V.G. and Kaibara, M.K. and Lima, G.A.B. and Silva, J.M. and Sabatini, M.H. and Mancera, P.F.A. and McKee, Sean (2013) Application of a bounded upwinding scheme to complex fluid dynamics problems. Mathematical and Computer Modelling, 57 (3-4). pp. 435-459. ISSN 0895-7177

2012

Ferreira, V.G. and Queiroz, R.A.B. and Lima, G.A.B. and Cuenca, R.G. and Oishi, C.M. and Azevedo, J.L.F. and McKee, Sean (2012) A bounded upwinding scheme for computing convection-dominated transport problems. Computers and Fluids, 57. pp. 208-224. ISSN 0045-7930

Botta, V. and Meneguette, M. and Cuminato, J. A. and McKee, S. (2012) On the zeros of polynomials: an extension of the Enestrom-Kakeya theorem. Journal of Mathematical Analysis and Applications, 385 (2). pp. 1151-1161. ISSN 0022-247X

Cregan, V. and O'Brien, Stephen B.G. and McKee, Sean; Günther, Michael and Bartel, Andreas and Brunk, Markus and Schöps, Sebastian and Striebel, Michael, eds. (2012) Asymptotics of a small liquid drop on a cone and plate rheometer. In: Progress in Industrial Mathematics at ECMI 2010. Mathematics in Industry: Progress in Industrial Mathematics at ECMI 2010, 17 . Springer-Verlag Berlin, Heidelberg, pp. 449-455. ISBN 9783642250996

Rebelo, Magda and Diogo, Teresa and McKee, Sean (2012) A mathematical treatment of the fluorescence capillary-fill device. SIAM Journal on Applied Mathematics, 72 (4). pp. 1081-1112. ISSN 1095-712X

2011

Cruz, Pedro A. and Tome, Murilo F. and Stewart, Iain W. and Mckee, Sean (2011) Numerical investigation of director orientation and flow of nematic liquid crystal in a planar 1:4 expansion. Journal of Mechanics of Materials and Structures, 6 (7-8). pp. 1017-1030. ISSN 1559-3959

Oishi, C.M. and Martins, F.P. and Tome, Murilo F. and Cuminato, Jose and Mckee, Sean (2011) Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows. Journal of Non-Newtonian Fluid Mechanics, 166 (3-4). pp. 165-179. ISSN 0377-0257

Botta, V.A. and Meneguette, M. and Cuminato, Jose and Mckee, Sean (2011) Theoretical results of one class of multiderivative methods through order stars. Progress in Applied Mathematics, 1 (1). pp. 122-130.

Liu, X. and McKee, S. and Yuan, J.Y. and Yuan, Y.X. (2011) Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices. Linear Algebra and its Applications, 435 (1). pp. 1157-1170. ISSN 0024-3795

McGinty, Sean and Mckee, Sean (2011) A comment on pulsatile pipe flow. Applied Mathematical and Computational Sciences, 3 (2). pp. 217-225. ISSN 0976-1586

2010

Tome, M. F. and McKee, S. and Walters, K. (2010) A computational study of some rheological influences on the “splashing experiment”. Journal of Non-Newtonian Fluid Mechanics, 165 (19-20). pp. 1258-1264. ISSN 0377-0257

Cuminato, J.A. and McKee, S. (2010) A note on the eigenvalues of a special class of matrices. Journal of Computational and Applied Mathematics, 234 (9). pp. 2724-2731. ISSN 0377-0427

McGinty, Sean and Mckee, Sean and Wadsworth, Roger and McCormick, Christopher (2010) Modelling drug-eluting stents. Mathematical Medicine and Biology, 28 (1). pp. 1-29. ISSN 0265-0746

Cregan, V. and O'Brien, S.B.C. and McKee, Sean (2010) The shape of a small liquid drop on a cone and plate rheometer. SIAM Journal on Applied Mathematics, 70 (6). pp. 2075-2096. ISSN 1095-712X

Herbert, A.J. and Riches, P.E. and Wilson, S.K. and McKee, S. and Black, R.A. (2010) Physical and mathematical modeling of the synovial joint and cartilage repair products. In: 17th Congress of the European Society of Biomechanics, 2010-07-05 - 2010-07-08.

Cruz, P.A. and Tome, M.F. and Stewart, I.W. and McKee, S. (2010) A numerical method for solving the dynamic three-dimensional Ericksen-Leslie equations for nematic liquid crystals subject to a strong magnetic field. Journal of Non-Newtonian Fluid Mechanics, 165 (3-4). pp. 143-157. ISSN 0377-0257

2009

McGinty, Sean and McKee, S. and McDermott, R. (2009) Analytic solutions of Newtonian and non-Newtonian pipe flows subject to a general time-dependent pressure gradient. Journal of Non-Newtonian Fluid Mechanics, 162 (1-3). pp. 54-77. ISSN 0377-0257

Tome, Murilo F. and Silva, Renato A.P. and Oishi, Cassio A. and McKee, S. (2009) Numerical solution of the upper-convected maxwell model for three-dimensional free surface flows. Communications in Computational Physics, 6 (2). pp. 367-395. ISSN 1815-2406

Ferreira, V.G. and Kurokawa, F.A. and Queiroz, R.A.B. and Kaibara, M.K. and Oishi, C.M. and Cuminato, J.A. and Castelo, A. and Tomé, M.F. and McKee, S. (2009) Assessment of a high-order finite difference upwind scheme for the simulation of convection-diffusion problems. International Journal of Numerical Methods in Fluids, 60 (1). pp. 1-26. ISSN 0271-2091

Walters, K. and Tamaddon-Jahromi, H.R. and Webster, M.F. and Tome, M.F. and McKee, Sean (2009) The competing roles of extensional viscosity and normal stress differences in complex flows of elastic liquids. Korea Australia Rheology Journal, 21 (4). pp. 225-233.

2008

Oishi, C.M. and Cuminato, J.A. and Yuan, J.Y. and McKee, S. (2008) Stability of numerical schemes on staggered grids. Numerical Linear Algebra with Applications, 15 (10). pp. 945-967. ISSN 1070-5325

Tome, M.F. and Castelo, A. and Ferreira, V.G. and McKee, S. (2008) A finite difference technique for solving the oldroyd-b model for 3d-unsteady free surface flows. Journal of Non-Newtonian Fluid Mechanics, 154 (2-3). pp. 179-206. ISSN 0377-0257

McKee, S. and Tome, M.F. and Ferreira, V.G. and Cuminato, J.A. and Castelo, A. and Sousa, F.S. and Mangiavacchi, N. (2008) The mac method. Computers and Fluids, 37 (8). pp. 907-930. ISSN 0045-7930

Oishi, C.M. and Tome, M.F. and Cuminato, J.A. and McKee, S. (2008) An implicit technique for solving 3D low Reynolds number moving free surface flows. Journal of Computational Physics, 227 (16). pp. 7446-7468. ISSN 0021-9991

2007

Gauthier, A. and Knight, P.A. and McKee, S. (2007) The Hertz contact problem, coupled Volterra integral equations and a linear complementarity problem. Journal of Computational and Applied Mathematics, 206 (1). pp. 322-340. ISSN 0377-0427

Mackay, C. and Hayward, D. and Mulholland, A.J. and McKee, S. and Pethrick, R.A. (2007) An inverse problem of reconstructing the electrical and geometrical parameters characterising airframe structures and connector interfaces. Inverse Problems in Science and Engineering, 15 (3). pp. 177-190.

Cuminato, J.A. and Fitt, A.D. and McKee, S. (2007) A review of linear and nonlinear Cauchy singular integral and integro-differential equations arising in mechanics. Journal of Integral Equations and Applications, 19 (2). pp. 163-207. ISSN 0897-3962

2006

Crane, R.L. and Hayward, D. and McConnell, B. and Pethrick, R.A. and Mulholland, A.J. and McKee, S. and Mackay, C. (2006) Assessment of adhesively bonded aluminium joints by high frequency dielectric measurements. Sampe Journal, 42 (5). pp. 35-38. ISSN 0091-1062

Mackay, Cameron and Mulholland, A. and McKee, S. (2006) Diffusion and convection of gaseous and fine particulate from a chimney. IMA Journal of Applied Mathematics, 71 (5). pp. 670-691. ISSN 1464-3634

2005

Fotheringham, P. and Gourlay, A.R. and McKee, S. and Andrews, S. (2005) A numerical investigation of heat transfer cardiac output measurements. Journal of Theoretical Medicine, 6 (3). pp. 161-172. ISSN 1027-3662

Mackay, Cameron and Hayward, David and Mulholland, Anthony J. and McKee, Sean and Pethrick, Richard A. (2005) Reconstruction of the spatial dependency of dielectric and geometrical properties of adhesively bonded structures. Journal of Physics D: Applied Physics, 38 (12). ISSN 1361-6463

Crane, R.L. and Hayward, D. and McConnell, B. and Pethrick, R.A. and Mulholland, A.J. and McKee, S. and MacKay, C. (2005) Assessment of adhesively bonded aluminium joints by high frequency dielectric measurements. In: 37th ISTC, 2005-10-31 - 2005-11-03. (Unpublished)

Mangiavacchi, N. and Castelo, A. and Tomé, M.F. and Cuminato, J.A. and de Oliveira, M.L.B. and McKee, S. (2005) An effective implementation of surface tension using the marker and cell method for axisymmetric and planar flows. SIAM Journal on Scientific Computing, 26 (4). pp. 1340-1368. ISSN 1064-8275

2004

Tomé, M.F. and Grossi, L. and Castelo, A. and Cuminato, J.A. and Mangiavacchi, N. and Ferreira, V.G. and De Sousa, F.S. and McKee, S. (2004) A numerical method for solving three-dimensional generalised Newtonian free surface flows. Journal of Non-Newtonian Fluid Mechanics, 123 (2-3). pp. 85-103.

De Sousa, F.S. and Mangiavacchi, N. and Nonato, L.G. and Castelo, A. and Tomé, M.F. and Ferreira, V.G. and Cuminato, J.A. and McKee, S. (2004) A front-tracking method for the simulating of 3D multi-fluid flows with free surfaces. Journal of Computational Physics, 198 (2). pp. 469-499. ISSN 0021-9991

Ferreira, V.G. and Mangiavacchi, N. and Tomé, M.F. and Castelo, A. and Cuminato, J.A. and McKee, S. (2004) Numerical simulation of turbulent free surface flow with two-equation k-e eddy-viscosity models. International Journal for Numerical Methods in Fluids, 44 (4). pp. 347-375. ISSN 0271-2091

Kalna, G. and McKee, S. (2004) The thermostat problem with a nonlocal nonlinear boundary condition. IMA Journal of Applied Mathematics, 69 (5). pp. 437-462. ISSN 1464-3634

2003

Halling, Peter J. and Wilson, Stephen K. and Jacobs, Ralf and McKee, Sean and Coles, Christopher W. (2003) Modeling the kinetics of enzymic reactions in mainly solid reaction mixtures. Biotechnology Progress, 19 (4). pp. 1228-1237. ISSN 8756-7938

2002

Macphee, A.G. and McKee, S. and Simpson, R.R.S. (2002) Ferroresonance in electrical systems. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 21 (2). pp. 265-273. ISSN 0332-1649

McKee, S. and Castelo, A.C. and Fortuna, A.O. and Cuminato, J.A. and Tomé, M.F. and Mangiavacchi, N. and Ferreira, V.G. (2002) High-order upwinding and the hydraulic jump. International Journal of Numerical Methods in Fluids, 39 (7). pp. 549-583. ISSN 0271-2091

McKee, S. (2002) Marker and cell - the state of the art. In: 5th Biennial Engineering Mathematics and Applications Conference, 2002-09-29 - 2002-10-02.

McKee, S. and Castelo, A. and Cuminato, J.A. and Tomé, M.F. and Mangiavacchi, N. (2002) A finite difference technique for simulating unsteady viscoelastic free surface flows. Journal of Non-Newtonian Fluid Mechanics, 106 (2-3). pp. 61-106. ISSN 0377-0257

2001

Aldridge, C.J. and McKee, S. and McDonald, J.R. and Galloway, S.J. and Dahal, K.P. and Bradley, M.E. and Macqueen, J.F. (2001) Knowledge-based genetic algorithm for unit commitment. IEE Proceedings Generation Transmission and Distribution, 148 (2). pp. 146-152. ISSN 1350-2360

Tomé, M.F. and Filho, A.C. and Cuminato, J.A. and Mangiavacchi, N. and McKee, S. (2001) GENSMAC 3D: A numerical method for solving unsteady three-dimensional free surface flows. International Journal of Numerical Methods in Fluids, 37 (7). pp. 747-796. ISSN 0271-2091

Tomé, M.F. and Filho, A.C. and Cuminato, J.A. and McKee, S. (2001) GENSMAC 3D: Implementation of the Navier-Stokes equations and boundary conditions for 3D free surface flows. University of San Paolo, Brazil.

Robbins, C.R. and McKee, S. (2001) Simulating the evacuation of a commercial airliner. Aeronautical Journal, 105 (1048). pp. 323-328. ISSN 0001-9240

Filho, Antonio Castelo and Mangiavacchi, Norberto and Tomé, Murilo F. and Cuminato, José A. and Fortuna, Armando O. and de Oliveira, Juliana and Ferreira, Valdemir G. and McKee, S. (2001) Surface tension implementation for Gensmac 2D. Journal of the Brazilian Society of Mechanical Sciences, 23 (4). pp. 523-532. ISSN 0100-7386