Professor Nicholas Hill
- Simson Chair of Mathematics (Mathematics)
- Elected Academic Staff Member on Court (Academic Services)
telephone:
01413304258
email:
Nicholas.Hill@glasgow.ac.uk
School of Mathematics and Statistics, University of Glasgow, University Avenue, Glasgow, G12 8QQ, Scotland, U.K.
https://orcid.org/0000-0003-3079-828XBiography
I am a leading UK researcher in mathematical and computational modelling of biological
fluid dynamics, and physiology, with expertise including soft tissue mechanics, the
systemic, pulmonary and coronary circulation, and arterial disease. From the 1980’s I led
major developments in the multiscale theory and quantitative experiments on pattern
formation in suspensions of swimming micro-organisms (bioconvection/active
suspensions) which is now a major international research field. Starting in the 1990’s, I
have developed first models of microstructural-based growth of abdominal aortic
aneurysms, flow and pressure waveforms in the pulmonary circulation, flow and wall
mechanics coupling the left ventricle and systematic arteries, to predict biomechanical
buckling of arterial dissections, parameter estimation and uncertainty quantification for
circulation models, and coupling strain in the gall bladder with pain experienced by
patients.
Research interests
My recent research portfolio is focussed on new and very challenging areas in mathematical
physiology and biological fluid dynamics including:
• A Leverhulme Research Fellowship project on linking blood flow and pressure in
capillary beds to mathematical and computational models of the full circulation.
• A coupled Pulmonary Circulation and Respiration model with application to
ventilation in COVID-19 patients.
• An industrially funded PhD studentship project with a major European vascular
graft manufacturer, Terumo-Aortic (Glasgow), and POLIMI on the design of stents to
minimise the effects of remodelling of the aorta wall post stenting for treatment of arterial
dissection and related diseases.
• Modelling of cell cytoskeleton mechanics with MIT.
• A GSK funded project on the post-myocardial infarction injury in collaboration with
Prof Colin Berry (Cardiology, Glasgow).
• Patient-specific blood flow and pressure in coronary arteries and veins in the
beating heart, allowing for the squeezing of small vessels within the wall during systole.
• Pulmonary hypertension in humans with the Scottish Pulmonary Vascular Unit
and in mice with collaborators in Mathematics at NCSU and Biomedical Engineering at
UC Irvine, including patient-specific statistical parameter estimation.
• Upscaling methods to couple the mechanics of individual cells to tissue scale
biomechanics in the heart and other soft tissue.
Research groups
Publications
2024
Richardson, S. H., Mackenzie, J., Thekkethil, N., Feng, L., Lee, J., Berry, C. , Hill, N. , Luo, X. and Gao, H. (2024) Cardiac perfusion coupled with a structured coronary network tree. Computer Methods in Applied Mechanics and Engineering, 428, 117083. (doi: 10.1016/j.cma.2024.117083)
Kory, J., Stewart, P.S. , Hill, N.A. , Luo, X. and Pandolfi, A. (2024) A discrete-to-continuum model for the human cornea with application to keratoconus. Royal Society Open Science, 11(7), 240265. (doi: 10.1098/rsos.240265) (PMID:39050729) (PMCID:PMC11265872)
Köry, J. , Hill, N.A. , Luo, X.Y. and Stewart, P.S. (2024) Discrete-to-continuum models of pre-stressed cytoskeletal filament networks. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2290), 20230611. (doi: 10.1098/rspa.2023.0611)
Du, Y. , Luo, X. and Hill, N. A. (2024) Connecting weakly nonlinear elasticity theories of isotropic hyperelastic materials. Mathematics and Mechanics of Solids, (doi: 10.1177/10812865241238985) (Early Online Publication)
Thekkethil, N., Köry, J. , Guo, M., Stewart, P. S. , Hill, N. A. and Luo, X. (2024) Modelling the rheology of living cell cytoplasm: Poroviscoelasticity and fluid-to-solid transition. Biomechanics and Modeling in Mechanobiology, (Accepted for Publication)
Haider, M. A., Pearce, K. J., Chesler, N. C., Hill, N. A. and Olufsen, M. S. (2024) Application and reduction of a nonlinear hyperelastic wall model capturing ex vivo relationships between fluid pressure, area, and wall thickness in normal and hypertensive murine left pulmonary arteries. International Journal for Numerical Methods in Biomedical Engineering, 40(3), e3798. (doi: 10.1002/cnm.3798) (PMID:38214099)
2023
Han, H., Guo, B., Gao, P., Yang, F., Sun, C., Hill, N. A. and Liu, H. (2023) Finite‐element simulation of in‐plane tear propagation in the dissected aorta: implications for the propagation mechanism. International Journal for Numerical Methods in Biomedical Engineering, 39(9), e3743. (doi: 10.1002/cnm.3743) (PMID:37344920)
Du, Y. , Stewart, P. , Hill, N. A. , Yin, H. , Penta, R. , Köry, J. , Luo, X. and Ogden, R. (2023) Nonlinear indentation of second-order hyperelastic materials. Journal of the Mechanics and Physics of Solids, 171, 105139. (doi: 10.1016/j.jmps.2022.105139)
2022
Barry, R. G., Hill, N. A. and Stewart, P. S. (2022) Continuum soft tissue models from upscaling of arrays of hyperelastic cells. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 478(2266), 20220065. (doi: 10.1098/rspa.2022.0065)
2021
Morrow, A. et al. (2021) Rationale and design of the Medical Research Council Precision medicine with Zibotentan in microvascular angina (PRIZE) trial MRI sub-study. British Society of Cardiovascular Magnetic Resonance 2021 Annual Meeting, 12 October 2021. A2.1-A2. (doi: 10.1136/heartjnl-2021-BSCMR.3)
Feng, L., Gao, H. , Qi, N., Danton, M., Hill, N. A. and Luo, X. (2021) Fluid-structure interaction in a fully coupled three-dimensional mitral-atrium-pulmonary model. Biomechanics and Modeling in Mechanobiology, 20(4), pp. 1267-1295. (doi: 10.1007/s10237-021-01444-6) (PMID:33770307) (PMCID:PMC8298265)
2020
Paun, L. M., Colebank, M. J., Olufsen, M. S., Hill, N. A. and Husmeier, D. (2020) Assessing model mismatch and model selection in a Bayesian uncertainty quantification analysis of a fluid-dynamics model of pulmonary blood circulation. Journal of the Royal Society: Interface, 17(173), 20200886. (doi: 10.1098/rsif.2020.0886) (PMID:33353505)
Morrow, A. J. et al. (2020) Rationale and design of the Medical Research Council precision medicine with Zibotentan in microvascular angina (PRIZE) trial. American Heart Journal, 229, pp. 70-80. (doi: 10.1016/j.ahj.2020.07.007) (PMID:32942043)
2019
Paun, L. M., Colebank, M., Qureshi, M. U., Olufsen, M., Hill, N. and Husmeier, D. (2019) MCMC with Delayed Acceptance using a Surrogate Model with an Application to Cardiovascular Fluid Dynamics. In: International Conference on Statistics: Theory and Applications (ICSTA’19), Lisbon, Portugal, 13-14 Aug 2019, p. 28. ISBN 9781927877647 (doi: 10.11159/icsta19.28)
Duanmu, Z., Chen, W., Gao, H. , Yang, X., Luo, X. , Wang, T. and Hill, N. A. (2019) A one-dimensional hemodynamic model of the coronary arterial tree. Frontiers in Physiology, 10, 853. (doi: 10.3389/fphys.2019.00853)
Li, B., Roper, S. M. , Wang, L., Luo, X. and Hill, N.A. (2019) An incremental deformation model of arterial dissection. Journal of Mathematical Biology, 78(5), pp. 1277-1298. (doi: 10.1007/s00285-018-1309-8) (PMID:30456652) (PMCID:PMC6453878)
Umar Qureshi, M., Colebank, M. J., Paun, L. M., Ellwein, L., Chesler, N., Haider, M. A., Hill, N. A. , Husmeier, D. and Olufsen, M. S. (2019) Hemodynamic assessment of pulmonary hypertension in mice: a model based analysis of the disease mechanism. Biomechanics and Modeling in Mechanobiology, 18(1), pp. 219-243. (doi: 10.1007/s10237-018-1078-8) (PMID:30284059)
2018
Păun, L. M., Qureshi, M. U., Colebank, M., Hill, N. A. , Olufsen, M. S., Haider, M. A. and Husmeier, D. (2018) MCMC methods for inference in a mathematical model of pulmonary circulation. Statistica Neerlandica, 72(3), pp. 306-338. (doi: 10.1111/stan.12132)
Qi, N., Lockington, D., Wang, H., Hill, N. A. , Ramaesh, K. and Luo, X. (2018) Modelling floppy iris syndrome and the impact of phenylephrine on iris buckling. International Journal of Applied Mechanics, 10(5), 1850048. (doi: 10.1142/S1758825118500485)
Wang, L., Hill, N. A. , Roper, S. M. and Luo, X. (2018) Modelling peeling- and pressure-driven propagation of arterial dissection. Journal of Engineering Mathematics, 109(1), pp. 227-238. (doi: 10.1007/s10665-017-9948-0)
Richardson, S.I. H., Baggaley, A.W. and Hill, N.A. (2018) Gyrotactic suppression and emergence of chaotic trajectories of swimming particles in three-dimensional flows. Physical Review Fluids, 3(2), 023102. (doi: 10.1103/PhysRevFluids.3.023102)
2017
Paun, L., Haider, M., Hill, N. , Olufsen, M., Qureshi, M., Papamarkou, T. and Husmeier, D. (2017) Parameter Inference in the Pulmonary Blood Circulation. RSS 2017 Annual Conference, Glasgow, Scotland, 04-07 Sep 2017.
Paun, L. M., Qureshi, M. U., Colebank, M., Haider, M. A., Olufsen, M. S., Hill, N. A. and Husmeier, D. (2017) Parameter Inference in the Pulmonary Circulation of Mice. In: 32nd International Workshop on Statistical Modelling, Groningen, Netherlands, 03-07 Jul 2017, pp. 190-195.
Wang, L., Roper, S. M. , Hill, N. A. and Luo, X. (2017) Propagation of dissection in a residually-stressed artery model. Biomechanics and Modeling in Mechanobiology, 16(1), pp. 139-149. (doi: 10.1007/s10237-016-0806-1) (PMID:27395061)
Noè, U., Chen, W. W., Filippone, M., Hill, N. and Husmeier, D. (2017) Inference in a Partial Differential Equations Model of Pulmonary Arterial and Venous Blood Circulation using Statistical Emulation. In: 13th International Conference on Computational Intelligence Methods for Bioinformatics and Biostatistics, Stirling, UK, 01-03 Sep 2016, pp. 184-198. ISBN 9783319678337 (doi: 10.1007/978-3-319-67834-4_15)
2016
Goodman, M. E., Luo, X. and Hill, N. (2016) A mathematical model on the feedback between wall shear stress and intimal hyperplasia. International Journal of Applied Mechanics, 8(7), 1640011. (doi: 10.1142/S1758825116400111)
Chen, W.W., Gao, H. , Luo, X.Y. and Hill, N.A. (2016) Study of cardiovascular function using a coupled left ventricle and systemic circulation model. Journal of Biomechanics, 49(12), pp. 2445-2454. (doi: 10.1016/j.jbiomech.2016.03.009) (PMID:27040388) (PMCID:PMC5038162)
2015
Qi, N., Gao, H. , Ogden, R. W. , Hill, N. A. , Holzapfel, G. A., Han, H. and Luo, X. (2015) Investigation of the optimal collagen fibre orientation in human iliac arteries. Journal of the Mechanical Behavior of Biomedical Materials, 52, pp. 108-119. (doi: 10.1016/j.jmbbm.2015.06.011) (PMID:26195342)
Qureshi, M. U. and Hill, N. A. (2015) A computational study of pressure wave reflections in the pulmonary arteries. Journal of Mathematical Biology, 71(6), pp. 1525-1549. (doi: 10.1007/s00285-015-0867-2) (PMID:25754476)
Ghorai, S., Singh, R. and Hill, N.A. (2015) Wavelength selection in gyrotactic bioconvection. Bulletin of Mathematical Biology, 77(6), pp. 1166-1184. (doi: 10.1007/s11538-015-0081-9) (PMID:25963246)
Wang, L., Roper, S. M. , Luo, X.Y. and Hill, N.A. (2015) Modelling of tear propagation and arrest in fibre-reinforced soft tissue subject to internal pressure. Journal of Engineering Mathematics, 95(1), pp. 249-265. (doi: 10.1007/s10665-014-9757-7)
2014
Qureshi, M. U., Vaughan, G. D.A., Sainsbury, C., Johnson, M., Peskin, C. S., Olufsen, M. S. and Hill, N.A. (2014) Numerical simulation of blood flow and pressure drop in the pulmonary arterial and venous circulation. Biomechanics and Modeling in Mechanobiology, 13(5), pp. 1137-1154. (doi: 10.1007/s10237-014-0563-y) (PMID:24610385) (PMCID:PMC4183203)
2013
Li, W.G., Hill, N.A. , Going, J. and Luo, X.Y. (2013) Breaking analysis of artificial elastic tubes and human artery. International Journal of Applied Mechanics, 5(3), p. 1350024. (doi: 10.1142/S1758825113500245)
Li, W.G., Hill, N.A. , Ogden, R.W. , Smythe, A., Majeed, A.W., Bird, N. and Luo, X.Y. (2013) Anisotropic behaviour of human gallbladder walls. Journal of the Mechanical Behavior of Biomedical Materials, 20, pp. 363-375. (doi: 10.1016/j.jmbbm.2013.02.015)
Wang, F., Li, J.L., Yang, B.X. and Hill, N.A. (2013) Modeling and simulation of non-Newtonian fluid mold filling process with phase change. Computer Modeling in Engineering and Sciences, 95(1), pp. 59-85. (doi: 10.3970/cmes.2013.095.059)
2012
Li, W.G., Luo, X.Y. , Hill, N.A. , Ogden, R.W. , Smythe, A., Majeed, A.W. and Bird, N. (2012) A quasi-nonlinear analysis of the anisotropic behaviour of human gallbladder wall. Journal of Biomechanical Engineering, 134(10), p. 101009. (doi: 10.1115/1.4007633)
Jensen, O.E. and Hill, N.A. (2012) Preface to special issue dedicated to Professor T.J. Pedley on his 70th birthday. Journal of Fluid Mechanics, 705, p. 1. (doi: 10.1017/jfm.2012.252)
Olufsen, M.S., Hill, N.A. , Vaughan, G.D.A., Sainsbury, C. and Johnson, M. (2012) Rarefaction and blood pressure in systemic and pulmonary arteries. Journal of Fluid Mechanics, 705, pp. 280-305. (doi: 10.1017/jfm.2012.220)
Lockington, D., Luo, X.Y. , Wang, H., Hill, N.A. and Ramaesh, K. (2012) Mathematical and computer simulation modelling of intracameral forces causing pupil block due to air bubble use in Descemet's Stripping Endothelial Keratoplasty: the mechanics of iris buckling. Clinical and Experimental Ophthalmology, 40(2), pp. 182-186. (doi: 10.1111/j.1442-9071.2011.02653.x)
2011
Li, W.G., Luo, X.Y. , Hill, N.A. , Ogden, R.W. , Tian, T.H., Smythe, A., Majeed, A.W. and Bird, N. (2011) Cross-bridge apparent rate constants of human gallbladder smooth muscle. Journal of Muscle Research and Cell Motility, 32(3), pp. 209-220. (doi: 10.1007/s10974-011-9260-y)
Li, W.G., Luo, X.Y. , Hill, N.A. , Ogden, R.W. , Smythe, A., Majeed, A. and Bird, N. (2011) A mechanical model for CCK-induced acalculous gallbladder pain. Annals of Biomedical Engineering, 39(2), pp. 786-800. (doi: 10.1007/s10439-010-0205-1)
Luo, X. , Li, W., Hill, N. , Ogden, R. and Smythe, A. (2011) Inverse estimation of fibre reinforced soft tissue of human gallbladder wall. In: Inverse Problems in Science and Engineering, Cambridge, UK, 12-16 Dec 2011,
Raghib, M., Hill, N.A. and Dieckmann, U. (2011) A multiscale maximum entropy moment closure for locally regulated space–time point process models of population dynamics. Journal of Mathematical Biology, 62(5), pp. 605-653. (doi: 10.1007/s00285-010-0345-9)
2010
Ghorai, S., Panda, M.K. and Hill, N.A. (2010) Bioconvection in a suspension of isotropically scattering phototactic algae. Physics of Fluids, 22(7), 071901. (doi: 10.1063/1.3457163)
Liu, Z., Xu, X., Lim, F.F.J., Luo, X. , Van Hirtum, A. and Hill, N.A. (2010) Modeling and simulation of human upper airway. In: Lim, C.T. and Goh Cho Hong, J. (eds.) 6th World Congress of Biomechanics, WCB 2010, 1-6 August 2010, Singapore. Series: IFMBE Proceedings (31). Springer-Verlag, pp. 686-689. ISBN 9783642145148 (doi: 10.1007/978-3-642-14515-5_175)
2009
Watton, P.N. and Hill, N.A. (2009) Evolving mechanical properties of a model of abdominal aortic aneurysm. Biomechanics and Modeling in Mechanobiology, 8(1), pp. 25-42. (doi: 10.1007/s10237-007-0115-9)
2008
Li, W.G., Luo, X.Y. , Chin, S.B., Hill, N.A. , Johnson, A.G. and Bird, N.C. (2008) Non-Newtonian bile flow in elastic cystic duct: one- and three-dimensional modeling. Annals of Biomedical Engineering, 36(11), pp. 1893-1908. (doi: 10.1007/s10439-008-9563-3)
Li, W.G., Luo, X.Y., Hill, N.A., Smythe, A., Chin, S.B., Johnson, A.G. and Bird, N.C. (2008) Correlation of mechanical factors and gallbladder pain. Computational and Mathematical Methods in Medicine, 9(1), pp. 27-45. (doi: 10.1080/17486700701780266)
2007
Ghorai, S. and Hill, N.A. (2007) Gyrotactic bioconvection in three dimensions. Physics of Fluids, 19(5), 054107. (doi: 10.1063/1.2731793)
Luo, X. , Li, W., Bird, N., Chin, S. B., Hill, N.A. and Johnson, A. G. (2007) On the mechanical behavior of the human biliary system. World Journal of Gastroenterology, 13(9), pp. 1384-1392. (doi: 10.3748/wjg.v13.i9.1384)
Li, W.G., Luo, X.Y. , Johnson, A.G., Hill, N.A. , Bird, N. and Chin, S.B. (2007) One-dimensional models for the human biliary system. Journal of Biomechanical Engineering, 129(2), pp. 164-173. (doi: 10.1115/1.2472379)
Luo, X.Y. , Li, W.G., Bird, N., Chin, S.B., Hill, N.A. and Johnson, A.G. (2007) On the mechanical behaviour of the human biliary system. World Journal of Gastroenterology, 13(9), pp. 1384-1392.
Vaughan, G.A., Connell, J., Johnson, M.K., Olufsen, M.S., Hill, N.A. and Sainsbury, C.A.R. (2007) Investigating the relationship between microvascular rarefaction and systemic hypertension: a mathematical and computational model of the circulation. Journal of Human Hypertension, 21(10), p. 840.
2005
Ghorai, S. and Hill, N.A. (2005) Penetrative phototactic bioconvection. Physics of Fluids, 17(7), 074101. (doi: 10.1063/1.1947807)
Miroshnychenko, D., Hill, N.A. , Mottram, N.J. and Lydon, J.E. (2005) Evolution from A 2 defect to 1/2 defects in a cylindrical geometry. Molecular Crystals and Liquid Crystals, 437(1), pp. 1495-1511. (doi: 10.1080/15421400590955334)
Codling, E.A. and Hill, N.A. (2005) Sampling rate effects on measurements of correlated and biased random walks. Journal of Theoretical Biology, 233(4), pp. 573-588. (doi: 10.1016/j.jtbi.2004.11.008)
Codling, E.A. and Hill, N.A. (2005) Calculating spatial statistics for velocity jump processes with experimentally observed reorientation parameters. Journal of Mathematical Biology, 51(5), pp. 527-556. (doi: 10.1007/s00285-005-0317-7)
Hill, N.A. and Pedley, T.J. (2005) Bioconvection. Fluid Dynamics Research, 37(1-2), pp. 1-20. (doi: 10.1016/j.fluiddyn.2005.03.002)
Watton, P.N. , Hill, N.A. and Dodds, S. (2005) Mechanical behaviour of a mathematical model of an abdominal aortic aneurysm subject to a prorogating pulse wave. In: Summer Bioengineering Conference, Vail, CO, USA, 22-26 Jun 2005, pp. 63-64. ISBN 9780974249216
2004
Codling, E.A., Hill, N.A. , Pitchford, J.W. and Simpson, S.D. (2004) Random walk models for the movement and recruitment of reef fish larvae. Marine Ecology Progress Series, 279, pp. 215-224. (doi: 10.3354/meps279215)
Watton, P.N. , Hill, N.A. and Heil, M. (2004) A mathematical model for the growth of the abdominal aortic aneurysm. Biomechanics and Modeling in Mechanobiology, 3(2), pp. 98-113. (doi: 10.1007/s10237-004-0052-9)
2002
Ghorai, S. and Hill, N.A. (2002) Axisymmetric bioconvection in a cylinder. Journal of Theoretical Biology, 219(2), pp. 137-152. (doi: 10.1006/jtbi.2002.3077)
Hill, N.A. and Bees, M.A. (2002) Taylor dispersion of gyrotactic swimming micro-organisms in a linear flow. Physics of Fluids, 14(8), pp. 2598-2605. (doi: 10.1063/1.1458003)
2001
Hill, N.A. and Spendiff, M.K. (2001) A model for the interaction between intimal hyperplasia and blood flow. In: Kamm, R.D. (ed.) Proceedings of the 2001 Bioengineering Conference: Presented at Snowbird, Utah, June 27-July 1, 2001. Series: BED (50). American Society of Mechanical Engineers: New York, USA, pp. 489-490. ISBN 9780791816684
Hill, N.A. and Watton, P.N. (2001) Abdominal aortic aneurysms - a new mathematical model. In: Kamm, R.D. (ed.) Proceedings of the 2001 Bioengineering Conference: Presented at Snowbird, Utah, June 27-July 1, 2001. Series: BED (50). American Society of Mechanical Engineers: New York, USA, pp. 513-514. ISBN 9780791816684
2000
Roberts, A., Hill, N.A. and Hicks, R. (2000) Simple mechanisms organise orientation of escape swimming in embryos and hatchling tadpoles of Xenopus laevis. Journal of Experimental Biology, 203, pp. 1869-1885.
Ghorai, S. and Hill, N.A. (2000) Wavelengths of gyrotactic plumes in bioconvection. Bulletin of Mathematical Biology, 62(3), pp. 429-450. (doi: 10.1006/bulm.1999.0160)
Hill, N.A. and Plumpton, L.A. (2000) Control strategies for the polarotactic orientation of the microorganism Euglena gracilis. Journal of Theoretical Biology, 203(4), pp. 357-365. (doi: 10.1006/jtbi.2000.1090)
Ghorai, S. and Hill, N.A. (2000) Periodic arrays of gyrotactic plumes in bioconvection. Physics of Fluids, 12(1), pp. 5-22. (doi: 10.1063/1.870249)
1999
Ghorai, S. and Hill, N.A. (1999) Development and stability of gyrotactic plumes in bioconvection. Journal of Fluid Mechanics, 400, pp. 1-31. (doi: 10.1017/S0022112099006473)
Biktashev, V., Biktasheva, I., Holden, A., Tsyganov, M., Brindley, J. and Hill, N.A. (1999) Spatiotemporal irregularity in an excitable medium with shear flow. Physical Review E, 60(2), pp. 1897-1900. (doi: 10.1103/PhysRevE.60.1897)
Biktashev, V.N., Biktasheva, I.V., Holden, A.V., Tsyganov, M.A., Brindley, J. and Hill, N.A. (1999) Effects of shear flows on nonlinear waves in excitable media. Journal of Biological Physics, 25(2-3), pp. 101-113. (doi: 10.1023/A:1005160932148)
Bees, M. and Hill, N. (1999) Non-linear bioconvection in a deep suspension of gyrotactic swimming micro-organisms. Journal of Mathematical Biology, 38(2), pp. 135-168.
1998
Biktashev, V., Holden, A., Tsyganov, M., Brindley, J. and Hill, N.A. (1998) Excitation wave breaking in excitable media with linear shear flow. Physical Review Letters, 81(13), pp. 2815-2818. (doi: 10.1103/PhysRevLett.81.2815)
Bees, M.A. and Hill, N.A. (1998) Linear bioconvection in a suspension of randomly swimming, gyrotactic micro-organisms. Physics of Fluids, 10(8), pp. 1864-1881. (doi: 10.1063/1.869704)
Bees, M.A., Hill, N. and Pedley, T.J. (1998) Analytical approximations for the orientation distribution of small dipolar particles in steady shear flows. Journal of Mathematical Biology, 36(3), pp. 269-298. (doi: 10.1007/s002850050101)
Kessler, J.O., Hill, N.A. , Strittmatter, R. and Wiseley, D. (1998) Sedimenting particles and swimming microorganisms in a rotating fluid. Advances in Space Research, 21(8-9), pp. 1269-1275. (doi: 10.1016/S0273-1177(97)00398-0)
1997
Hill, N.A. and Häder, D.-P. (1997) A biased random walk model for the trajectories of swimming micro-organisms. Journal of Theoretical Biology, 186(4), pp. 503-526. (doi: 10.1006/jtbi.1997.0421)
Bees, M.A. and Hill, N.A. (1997) Wavelengths of bioconvection patterns. Journal of Experimental Biology, 200(10), pp. 1515-1526.
Hill, N.A. (1997) Bioconvection. In: Othmer, H.G., Adler, F., Lewis, M.A. and Dallon, J. (eds.) Case Studies of Mathematical Modeling in Biology. Prentice Hall, pp. 339-351. ISBN 9780135740392
Kessler, J.O. and Hill, N.A. (1997) Complementarity of physics, biology and geometry in the dynamics of swimming micro-organisms. In: Flyvbjerg, H., Hertz, J., Jensen, M.H., Mouritsen, O.G. and Sneppen, K. (eds.) Physics of Biological Systems: From Molecules to Species. Series: Lecture notes in physics (480). Springer, pp. 325-340. ISBN 9783540624752
1996
Vincent, R.V. and Hill, N.A. (1996) Bioconvection in a suspension of phototactic algae. Journal of Fluid Mechanics, 327, pp. 343-371. (doi: 10.1017/S0022112096008579)
1994
Kessler, J.O. and Hill, N.A. (1994) Microbial consumption patterns. In: Cladis, P.E. and Palffy-Muhoray, P. (eds.) Spatio-Temporal Patterns in Nonequilibrium Complex Systems: Proceedings of the NATO Advanced Research Workshop Held in Santa Fe, New Mexico, on April 13-17, 1993. Series: Santa Fe Institute studies in the sciences of complexity. Proceedings volumes (21). Addison-Wesley: Reading, pp. 635-648. ISBN 9780201409871
Kessler, J.O., Hoelzer, M.A., Pedley, T.J. and Hill, N.A. (1994) Functional patterns of swimming bacteria. In: Maddock, L., Bone, Q. and Rayner, J.M.V. (eds.) Mechanics and Physiology of Animal Swimming. Cambridge University Press: Cambridge, UK, pp. 3-12. ISBN 9780521460781
1993
Hill, N.A. and Vincent, R.V. (1993) A simple model and strategies for orientation in phototactic microorganisms. Journal of Theoretical Biology, 163(2), pp. 223-235. (doi: 10.1006/jtbi.1993.1118)
Hill, N.A. (1993) Trajectories of swimming micro-organisms and continuum models of bioconvection. In: Othmer, H.G., Maini, P.K. and Murray, J.D. (eds.) Experimental and Theoretical Advances in Biological Pattern Formation. Series: NATO ASI series. Series A, Life sciences (259). Plenum Press: New York, NY, pp. 101-103. ISBN 9780306446610
1992
Kessler, J.O., Hill, N.A. and Hader, D.-P. (1992) Orientation of swimming flagellates by simultaneously acting external factors. Journal of Phycology, 28(6), pp. 816-822. (doi: 10.1111/j.0022-3646.1992.00816.x)
Davis, R.H. and Hill, N.A. (1992) Hydrodynamic diffusion of a sphere sedimenting through a dilute suspension of neutrally buoyant spheres. Journal of Fluid Mechanics, 236, pp. 513-533. (doi: 10.1017/S0022112092001514)
1989
Hill, N.A. , Pedley, T.J. and Kessler, J.O. (1989) Growth of bioconvection patterns in a suspension of gyrotactic micro-organisms in a layer of finite depth. Journal of Fluid Mechanics, 208, pp. 509-543. (doi: 10.1017/S0022112089002922)
1988
Pedley, T.J., Hill, N.A. and Kessler, J.O. (1988) The growth of bioconvection patterns in a uniform suspension of gyrotactic micro-organisms. Journal of Fluid Mechanics, 195, pp. 223-237. (doi: 10.1017/S0022112088002393)
Hill, N.,A. (1988) Numerical studies of “side-by-side” and other modes for the Taylor problem in a finite annulus. Computers and Fluids, 16(4), pp. 445-458. (doi: 10.1016/0045-7930(88)90027-8)
Articles
Richardson, S. H., Mackenzie, J., Thekkethil, N., Feng, L., Lee, J., Berry, C. , Hill, N. , Luo, X. and Gao, H. (2024) Cardiac perfusion coupled with a structured coronary network tree. Computer Methods in Applied Mechanics and Engineering, 428, 117083. (doi: 10.1016/j.cma.2024.117083)
Kory, J., Stewart, P.S. , Hill, N.A. , Luo, X. and Pandolfi, A. (2024) A discrete-to-continuum model for the human cornea with application to keratoconus. Royal Society Open Science, 11(7), 240265. (doi: 10.1098/rsos.240265) (PMID:39050729) (PMCID:PMC11265872)
Köry, J. , Hill, N.A. , Luo, X.Y. and Stewart, P.S. (2024) Discrete-to-continuum models of pre-stressed cytoskeletal filament networks. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2290), 20230611. (doi: 10.1098/rspa.2023.0611)
Du, Y. , Luo, X. and Hill, N. A. (2024) Connecting weakly nonlinear elasticity theories of isotropic hyperelastic materials. Mathematics and Mechanics of Solids, (doi: 10.1177/10812865241238985) (Early Online Publication)
Thekkethil, N., Köry, J. , Guo, M., Stewart, P. S. , Hill, N. A. and Luo, X. (2024) Modelling the rheology of living cell cytoplasm: Poroviscoelasticity and fluid-to-solid transition. Biomechanics and Modeling in Mechanobiology, (Accepted for Publication)
Haider, M. A., Pearce, K. J., Chesler, N. C., Hill, N. A. and Olufsen, M. S. (2024) Application and reduction of a nonlinear hyperelastic wall model capturing ex vivo relationships between fluid pressure, area, and wall thickness in normal and hypertensive murine left pulmonary arteries. International Journal for Numerical Methods in Biomedical Engineering, 40(3), e3798. (doi: 10.1002/cnm.3798) (PMID:38214099)
Han, H., Guo, B., Gao, P., Yang, F., Sun, C., Hill, N. A. and Liu, H. (2023) Finite‐element simulation of in‐plane tear propagation in the dissected aorta: implications for the propagation mechanism. International Journal for Numerical Methods in Biomedical Engineering, 39(9), e3743. (doi: 10.1002/cnm.3743) (PMID:37344920)
Du, Y. , Stewart, P. , Hill, N. A. , Yin, H. , Penta, R. , Köry, J. , Luo, X. and Ogden, R. (2023) Nonlinear indentation of second-order hyperelastic materials. Journal of the Mechanics and Physics of Solids, 171, 105139. (doi: 10.1016/j.jmps.2022.105139)
Barry, R. G., Hill, N. A. and Stewart, P. S. (2022) Continuum soft tissue models from upscaling of arrays of hyperelastic cells. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 478(2266), 20220065. (doi: 10.1098/rspa.2022.0065)
Feng, L., Gao, H. , Qi, N., Danton, M., Hill, N. A. and Luo, X. (2021) Fluid-structure interaction in a fully coupled three-dimensional mitral-atrium-pulmonary model. Biomechanics and Modeling in Mechanobiology, 20(4), pp. 1267-1295. (doi: 10.1007/s10237-021-01444-6) (PMID:33770307) (PMCID:PMC8298265)
Paun, L. M., Colebank, M. J., Olufsen, M. S., Hill, N. A. and Husmeier, D. (2020) Assessing model mismatch and model selection in a Bayesian uncertainty quantification analysis of a fluid-dynamics model of pulmonary blood circulation. Journal of the Royal Society: Interface, 17(173), 20200886. (doi: 10.1098/rsif.2020.0886) (PMID:33353505)
Morrow, A. J. et al. (2020) Rationale and design of the Medical Research Council precision medicine with Zibotentan in microvascular angina (PRIZE) trial. American Heart Journal, 229, pp. 70-80. (doi: 10.1016/j.ahj.2020.07.007) (PMID:32942043)
Duanmu, Z., Chen, W., Gao, H. , Yang, X., Luo, X. , Wang, T. and Hill, N. A. (2019) A one-dimensional hemodynamic model of the coronary arterial tree. Frontiers in Physiology, 10, 853. (doi: 10.3389/fphys.2019.00853)
Li, B., Roper, S. M. , Wang, L., Luo, X. and Hill, N.A. (2019) An incremental deformation model of arterial dissection. Journal of Mathematical Biology, 78(5), pp. 1277-1298. (doi: 10.1007/s00285-018-1309-8) (PMID:30456652) (PMCID:PMC6453878)
Umar Qureshi, M., Colebank, M. J., Paun, L. M., Ellwein, L., Chesler, N., Haider, M. A., Hill, N. A. , Husmeier, D. and Olufsen, M. S. (2019) Hemodynamic assessment of pulmonary hypertension in mice: a model based analysis of the disease mechanism. Biomechanics and Modeling in Mechanobiology, 18(1), pp. 219-243. (doi: 10.1007/s10237-018-1078-8) (PMID:30284059)
Păun, L. M., Qureshi, M. U., Colebank, M., Hill, N. A. , Olufsen, M. S., Haider, M. A. and Husmeier, D. (2018) MCMC methods for inference in a mathematical model of pulmonary circulation. Statistica Neerlandica, 72(3), pp. 306-338. (doi: 10.1111/stan.12132)
Qi, N., Lockington, D., Wang, H., Hill, N. A. , Ramaesh, K. and Luo, X. (2018) Modelling floppy iris syndrome and the impact of phenylephrine on iris buckling. International Journal of Applied Mechanics, 10(5), 1850048. (doi: 10.1142/S1758825118500485)
Wang, L., Hill, N. A. , Roper, S. M. and Luo, X. (2018) Modelling peeling- and pressure-driven propagation of arterial dissection. Journal of Engineering Mathematics, 109(1), pp. 227-238. (doi: 10.1007/s10665-017-9948-0)
Richardson, S.I. H., Baggaley, A.W. and Hill, N.A. (2018) Gyrotactic suppression and emergence of chaotic trajectories of swimming particles in three-dimensional flows. Physical Review Fluids, 3(2), 023102. (doi: 10.1103/PhysRevFluids.3.023102)
Wang, L., Roper, S. M. , Hill, N. A. and Luo, X. (2017) Propagation of dissection in a residually-stressed artery model. Biomechanics and Modeling in Mechanobiology, 16(1), pp. 139-149. (doi: 10.1007/s10237-016-0806-1) (PMID:27395061)
Goodman, M. E., Luo, X. and Hill, N. (2016) A mathematical model on the feedback between wall shear stress and intimal hyperplasia. International Journal of Applied Mechanics, 8(7), 1640011. (doi: 10.1142/S1758825116400111)
Chen, W.W., Gao, H. , Luo, X.Y. and Hill, N.A. (2016) Study of cardiovascular function using a coupled left ventricle and systemic circulation model. Journal of Biomechanics, 49(12), pp. 2445-2454. (doi: 10.1016/j.jbiomech.2016.03.009) (PMID:27040388) (PMCID:PMC5038162)
Qi, N., Gao, H. , Ogden, R. W. , Hill, N. A. , Holzapfel, G. A., Han, H. and Luo, X. (2015) Investigation of the optimal collagen fibre orientation in human iliac arteries. Journal of the Mechanical Behavior of Biomedical Materials, 52, pp. 108-119. (doi: 10.1016/j.jmbbm.2015.06.011) (PMID:26195342)
Qureshi, M. U. and Hill, N. A. (2015) A computational study of pressure wave reflections in the pulmonary arteries. Journal of Mathematical Biology, 71(6), pp. 1525-1549. (doi: 10.1007/s00285-015-0867-2) (PMID:25754476)
Ghorai, S., Singh, R. and Hill, N.A. (2015) Wavelength selection in gyrotactic bioconvection. Bulletin of Mathematical Biology, 77(6), pp. 1166-1184. (doi: 10.1007/s11538-015-0081-9) (PMID:25963246)
Wang, L., Roper, S. M. , Luo, X.Y. and Hill, N.A. (2015) Modelling of tear propagation and arrest in fibre-reinforced soft tissue subject to internal pressure. Journal of Engineering Mathematics, 95(1), pp. 249-265. (doi: 10.1007/s10665-014-9757-7)
Qureshi, M. U., Vaughan, G. D.A., Sainsbury, C., Johnson, M., Peskin, C. S., Olufsen, M. S. and Hill, N.A. (2014) Numerical simulation of blood flow and pressure drop in the pulmonary arterial and venous circulation. Biomechanics and Modeling in Mechanobiology, 13(5), pp. 1137-1154. (doi: 10.1007/s10237-014-0563-y) (PMID:24610385) (PMCID:PMC4183203)
Li, W.G., Hill, N.A. , Going, J. and Luo, X.Y. (2013) Breaking analysis of artificial elastic tubes and human artery. International Journal of Applied Mechanics, 5(3), p. 1350024. (doi: 10.1142/S1758825113500245)
Li, W.G., Hill, N.A. , Ogden, R.W. , Smythe, A., Majeed, A.W., Bird, N. and Luo, X.Y. (2013) Anisotropic behaviour of human gallbladder walls. Journal of the Mechanical Behavior of Biomedical Materials, 20, pp. 363-375. (doi: 10.1016/j.jmbbm.2013.02.015)
Wang, F., Li, J.L., Yang, B.X. and Hill, N.A. (2013) Modeling and simulation of non-Newtonian fluid mold filling process with phase change. Computer Modeling in Engineering and Sciences, 95(1), pp. 59-85. (doi: 10.3970/cmes.2013.095.059)
Li, W.G., Luo, X.Y. , Hill, N.A. , Ogden, R.W. , Smythe, A., Majeed, A.W. and Bird, N. (2012) A quasi-nonlinear analysis of the anisotropic behaviour of human gallbladder wall. Journal of Biomechanical Engineering, 134(10), p. 101009. (doi: 10.1115/1.4007633)
Jensen, O.E. and Hill, N.A. (2012) Preface to special issue dedicated to Professor T.J. Pedley on his 70th birthday. Journal of Fluid Mechanics, 705, p. 1. (doi: 10.1017/jfm.2012.252)
Olufsen, M.S., Hill, N.A. , Vaughan, G.D.A., Sainsbury, C. and Johnson, M. (2012) Rarefaction and blood pressure in systemic and pulmonary arteries. Journal of Fluid Mechanics, 705, pp. 280-305. (doi: 10.1017/jfm.2012.220)
Lockington, D., Luo, X.Y. , Wang, H., Hill, N.A. and Ramaesh, K. (2012) Mathematical and computer simulation modelling of intracameral forces causing pupil block due to air bubble use in Descemet's Stripping Endothelial Keratoplasty: the mechanics of iris buckling. Clinical and Experimental Ophthalmology, 40(2), pp. 182-186. (doi: 10.1111/j.1442-9071.2011.02653.x)
Li, W.G., Luo, X.Y. , Hill, N.A. , Ogden, R.W. , Tian, T.H., Smythe, A., Majeed, A.W. and Bird, N. (2011) Cross-bridge apparent rate constants of human gallbladder smooth muscle. Journal of Muscle Research and Cell Motility, 32(3), pp. 209-220. (doi: 10.1007/s10974-011-9260-y)
Li, W.G., Luo, X.Y. , Hill, N.A. , Ogden, R.W. , Smythe, A., Majeed, A. and Bird, N. (2011) A mechanical model for CCK-induced acalculous gallbladder pain. Annals of Biomedical Engineering, 39(2), pp. 786-800. (doi: 10.1007/s10439-010-0205-1)
Raghib, M., Hill, N.A. and Dieckmann, U. (2011) A multiscale maximum entropy moment closure for locally regulated space–time point process models of population dynamics. Journal of Mathematical Biology, 62(5), pp. 605-653. (doi: 10.1007/s00285-010-0345-9)
Ghorai, S., Panda, M.K. and Hill, N.A. (2010) Bioconvection in a suspension of isotropically scattering phototactic algae. Physics of Fluids, 22(7), 071901. (doi: 10.1063/1.3457163)
Watton, P.N. and Hill, N.A. (2009) Evolving mechanical properties of a model of abdominal aortic aneurysm. Biomechanics and Modeling in Mechanobiology, 8(1), pp. 25-42. (doi: 10.1007/s10237-007-0115-9)
Li, W.G., Luo, X.Y. , Chin, S.B., Hill, N.A. , Johnson, A.G. and Bird, N.C. (2008) Non-Newtonian bile flow in elastic cystic duct: one- and three-dimensional modeling. Annals of Biomedical Engineering, 36(11), pp. 1893-1908. (doi: 10.1007/s10439-008-9563-3)
Li, W.G., Luo, X.Y., Hill, N.A., Smythe, A., Chin, S.B., Johnson, A.G. and Bird, N.C. (2008) Correlation of mechanical factors and gallbladder pain. Computational and Mathematical Methods in Medicine, 9(1), pp. 27-45. (doi: 10.1080/17486700701780266)
Ghorai, S. and Hill, N.A. (2007) Gyrotactic bioconvection in three dimensions. Physics of Fluids, 19(5), 054107. (doi: 10.1063/1.2731793)
Luo, X. , Li, W., Bird, N., Chin, S. B., Hill, N.A. and Johnson, A. G. (2007) On the mechanical behavior of the human biliary system. World Journal of Gastroenterology, 13(9), pp. 1384-1392. (doi: 10.3748/wjg.v13.i9.1384)
Li, W.G., Luo, X.Y. , Johnson, A.G., Hill, N.A. , Bird, N. and Chin, S.B. (2007) One-dimensional models for the human biliary system. Journal of Biomechanical Engineering, 129(2), pp. 164-173. (doi: 10.1115/1.2472379)
Luo, X.Y. , Li, W.G., Bird, N., Chin, S.B., Hill, N.A. and Johnson, A.G. (2007) On the mechanical behaviour of the human biliary system. World Journal of Gastroenterology, 13(9), pp. 1384-1392.
Vaughan, G.A., Connell, J., Johnson, M.K., Olufsen, M.S., Hill, N.A. and Sainsbury, C.A.R. (2007) Investigating the relationship between microvascular rarefaction and systemic hypertension: a mathematical and computational model of the circulation. Journal of Human Hypertension, 21(10), p. 840.
Ghorai, S. and Hill, N.A. (2005) Penetrative phototactic bioconvection. Physics of Fluids, 17(7), 074101. (doi: 10.1063/1.1947807)
Miroshnychenko, D., Hill, N.A. , Mottram, N.J. and Lydon, J.E. (2005) Evolution from A 2 defect to 1/2 defects in a cylindrical geometry. Molecular Crystals and Liquid Crystals, 437(1), pp. 1495-1511. (doi: 10.1080/15421400590955334)
Codling, E.A. and Hill, N.A. (2005) Sampling rate effects on measurements of correlated and biased random walks. Journal of Theoretical Biology, 233(4), pp. 573-588. (doi: 10.1016/j.jtbi.2004.11.008)
Codling, E.A. and Hill, N.A. (2005) Calculating spatial statistics for velocity jump processes with experimentally observed reorientation parameters. Journal of Mathematical Biology, 51(5), pp. 527-556. (doi: 10.1007/s00285-005-0317-7)
Hill, N.A. and Pedley, T.J. (2005) Bioconvection. Fluid Dynamics Research, 37(1-2), pp. 1-20. (doi: 10.1016/j.fluiddyn.2005.03.002)
Codling, E.A., Hill, N.A. , Pitchford, J.W. and Simpson, S.D. (2004) Random walk models for the movement and recruitment of reef fish larvae. Marine Ecology Progress Series, 279, pp. 215-224. (doi: 10.3354/meps279215)
Watton, P.N. , Hill, N.A. and Heil, M. (2004) A mathematical model for the growth of the abdominal aortic aneurysm. Biomechanics and Modeling in Mechanobiology, 3(2), pp. 98-113. (doi: 10.1007/s10237-004-0052-9)
Ghorai, S. and Hill, N.A. (2002) Axisymmetric bioconvection in a cylinder. Journal of Theoretical Biology, 219(2), pp. 137-152. (doi: 10.1006/jtbi.2002.3077)
Hill, N.A. and Bees, M.A. (2002) Taylor dispersion of gyrotactic swimming micro-organisms in a linear flow. Physics of Fluids, 14(8), pp. 2598-2605. (doi: 10.1063/1.1458003)
Roberts, A., Hill, N.A. and Hicks, R. (2000) Simple mechanisms organise orientation of escape swimming in embryos and hatchling tadpoles of Xenopus laevis. Journal of Experimental Biology, 203, pp. 1869-1885.
Ghorai, S. and Hill, N.A. (2000) Wavelengths of gyrotactic plumes in bioconvection. Bulletin of Mathematical Biology, 62(3), pp. 429-450. (doi: 10.1006/bulm.1999.0160)
Hill, N.A. and Plumpton, L.A. (2000) Control strategies for the polarotactic orientation of the microorganism Euglena gracilis. Journal of Theoretical Biology, 203(4), pp. 357-365. (doi: 10.1006/jtbi.2000.1090)
Ghorai, S. and Hill, N.A. (2000) Periodic arrays of gyrotactic plumes in bioconvection. Physics of Fluids, 12(1), pp. 5-22. (doi: 10.1063/1.870249)
Ghorai, S. and Hill, N.A. (1999) Development and stability of gyrotactic plumes in bioconvection. Journal of Fluid Mechanics, 400, pp. 1-31. (doi: 10.1017/S0022112099006473)
Biktashev, V., Biktasheva, I., Holden, A., Tsyganov, M., Brindley, J. and Hill, N.A. (1999) Spatiotemporal irregularity in an excitable medium with shear flow. Physical Review E, 60(2), pp. 1897-1900. (doi: 10.1103/PhysRevE.60.1897)
Biktashev, V.N., Biktasheva, I.V., Holden, A.V., Tsyganov, M.A., Brindley, J. and Hill, N.A. (1999) Effects of shear flows on nonlinear waves in excitable media. Journal of Biological Physics, 25(2-3), pp. 101-113. (doi: 10.1023/A:1005160932148)
Bees, M. and Hill, N. (1999) Non-linear bioconvection in a deep suspension of gyrotactic swimming micro-organisms. Journal of Mathematical Biology, 38(2), pp. 135-168.
Biktashev, V., Holden, A., Tsyganov, M., Brindley, J. and Hill, N.A. (1998) Excitation wave breaking in excitable media with linear shear flow. Physical Review Letters, 81(13), pp. 2815-2818. (doi: 10.1103/PhysRevLett.81.2815)
Bees, M.A. and Hill, N.A. (1998) Linear bioconvection in a suspension of randomly swimming, gyrotactic micro-organisms. Physics of Fluids, 10(8), pp. 1864-1881. (doi: 10.1063/1.869704)
Bees, M.A., Hill, N. and Pedley, T.J. (1998) Analytical approximations for the orientation distribution of small dipolar particles in steady shear flows. Journal of Mathematical Biology, 36(3), pp. 269-298. (doi: 10.1007/s002850050101)
Kessler, J.O., Hill, N.A. , Strittmatter, R. and Wiseley, D. (1998) Sedimenting particles and swimming microorganisms in a rotating fluid. Advances in Space Research, 21(8-9), pp. 1269-1275. (doi: 10.1016/S0273-1177(97)00398-0)
Hill, N.A. and Häder, D.-P. (1997) A biased random walk model for the trajectories of swimming micro-organisms. Journal of Theoretical Biology, 186(4), pp. 503-526. (doi: 10.1006/jtbi.1997.0421)
Bees, M.A. and Hill, N.A. (1997) Wavelengths of bioconvection patterns. Journal of Experimental Biology, 200(10), pp. 1515-1526.
Vincent, R.V. and Hill, N.A. (1996) Bioconvection in a suspension of phototactic algae. Journal of Fluid Mechanics, 327, pp. 343-371. (doi: 10.1017/S0022112096008579)
Hill, N.A. and Vincent, R.V. (1993) A simple model and strategies for orientation in phototactic microorganisms. Journal of Theoretical Biology, 163(2), pp. 223-235. (doi: 10.1006/jtbi.1993.1118)
Kessler, J.O., Hill, N.A. and Hader, D.-P. (1992) Orientation of swimming flagellates by simultaneously acting external factors. Journal of Phycology, 28(6), pp. 816-822. (doi: 10.1111/j.0022-3646.1992.00816.x)
Davis, R.H. and Hill, N.A. (1992) Hydrodynamic diffusion of a sphere sedimenting through a dilute suspension of neutrally buoyant spheres. Journal of Fluid Mechanics, 236, pp. 513-533. (doi: 10.1017/S0022112092001514)
Hill, N.A. , Pedley, T.J. and Kessler, J.O. (1989) Growth of bioconvection patterns in a suspension of gyrotactic micro-organisms in a layer of finite depth. Journal of Fluid Mechanics, 208, pp. 509-543. (doi: 10.1017/S0022112089002922)
Pedley, T.J., Hill, N.A. and Kessler, J.O. (1988) The growth of bioconvection patterns in a uniform suspension of gyrotactic micro-organisms. Journal of Fluid Mechanics, 195, pp. 223-237. (doi: 10.1017/S0022112088002393)
Hill, N.,A. (1988) Numerical studies of “side-by-side” and other modes for the Taylor problem in a finite annulus. Computers and Fluids, 16(4), pp. 445-458. (doi: 10.1016/0045-7930(88)90027-8)
Book Sections
Liu, Z., Xu, X., Lim, F.F.J., Luo, X. , Van Hirtum, A. and Hill, N.A. (2010) Modeling and simulation of human upper airway. In: Lim, C.T. and Goh Cho Hong, J. (eds.) 6th World Congress of Biomechanics, WCB 2010, 1-6 August 2010, Singapore. Series: IFMBE Proceedings (31). Springer-Verlag, pp. 686-689. ISBN 9783642145148 (doi: 10.1007/978-3-642-14515-5_175)
Hill, N.A. and Spendiff, M.K. (2001) A model for the interaction between intimal hyperplasia and blood flow. In: Kamm, R.D. (ed.) Proceedings of the 2001 Bioengineering Conference: Presented at Snowbird, Utah, June 27-July 1, 2001. Series: BED (50). American Society of Mechanical Engineers: New York, USA, pp. 489-490. ISBN 9780791816684
Hill, N.A. and Watton, P.N. (2001) Abdominal aortic aneurysms - a new mathematical model. In: Kamm, R.D. (ed.) Proceedings of the 2001 Bioengineering Conference: Presented at Snowbird, Utah, June 27-July 1, 2001. Series: BED (50). American Society of Mechanical Engineers: New York, USA, pp. 513-514. ISBN 9780791816684
Hill, N.A. (1997) Bioconvection. In: Othmer, H.G., Adler, F., Lewis, M.A. and Dallon, J. (eds.) Case Studies of Mathematical Modeling in Biology. Prentice Hall, pp. 339-351. ISBN 9780135740392
Kessler, J.O. and Hill, N.A. (1997) Complementarity of physics, biology and geometry in the dynamics of swimming micro-organisms. In: Flyvbjerg, H., Hertz, J., Jensen, M.H., Mouritsen, O.G. and Sneppen, K. (eds.) Physics of Biological Systems: From Molecules to Species. Series: Lecture notes in physics (480). Springer, pp. 325-340. ISBN 9783540624752
Kessler, J.O. and Hill, N.A. (1994) Microbial consumption patterns. In: Cladis, P.E. and Palffy-Muhoray, P. (eds.) Spatio-Temporal Patterns in Nonequilibrium Complex Systems: Proceedings of the NATO Advanced Research Workshop Held in Santa Fe, New Mexico, on April 13-17, 1993. Series: Santa Fe Institute studies in the sciences of complexity. Proceedings volumes (21). Addison-Wesley: Reading, pp. 635-648. ISBN 9780201409871
Kessler, J.O., Hoelzer, M.A., Pedley, T.J. and Hill, N.A. (1994) Functional patterns of swimming bacteria. In: Maddock, L., Bone, Q. and Rayner, J.M.V. (eds.) Mechanics and Physiology of Animal Swimming. Cambridge University Press: Cambridge, UK, pp. 3-12. ISBN 9780521460781
Hill, N.A. (1993) Trajectories of swimming micro-organisms and continuum models of bioconvection. In: Othmer, H.G., Maini, P.K. and Murray, J.D. (eds.) Experimental and Theoretical Advances in Biological Pattern Formation. Series: NATO ASI series. Series A, Life sciences (259). Plenum Press: New York, NY, pp. 101-103. ISBN 9780306446610
Conference or Workshop Item
Morrow, A. et al. (2021) Rationale and design of the Medical Research Council Precision medicine with Zibotentan in microvascular angina (PRIZE) trial MRI sub-study. British Society of Cardiovascular Magnetic Resonance 2021 Annual Meeting, 12 October 2021. A2.1-A2. (doi: 10.1136/heartjnl-2021-BSCMR.3)
Paun, L., Haider, M., Hill, N. , Olufsen, M., Qureshi, M., Papamarkou, T. and Husmeier, D. (2017) Parameter Inference in the Pulmonary Blood Circulation. RSS 2017 Annual Conference, Glasgow, Scotland, 04-07 Sep 2017.
Conference Proceedings
Paun, L. M., Colebank, M., Qureshi, M. U., Olufsen, M., Hill, N. and Husmeier, D. (2019) MCMC with Delayed Acceptance using a Surrogate Model with an Application to Cardiovascular Fluid Dynamics. In: International Conference on Statistics: Theory and Applications (ICSTA’19), Lisbon, Portugal, 13-14 Aug 2019, p. 28. ISBN 9781927877647 (doi: 10.11159/icsta19.28)
Paun, L. M., Qureshi, M. U., Colebank, M., Haider, M. A., Olufsen, M. S., Hill, N. A. and Husmeier, D. (2017) Parameter Inference in the Pulmonary Circulation of Mice. In: 32nd International Workshop on Statistical Modelling, Groningen, Netherlands, 03-07 Jul 2017, pp. 190-195.
Noè, U., Chen, W. W., Filippone, M., Hill, N. and Husmeier, D. (2017) Inference in a Partial Differential Equations Model of Pulmonary Arterial and Venous Blood Circulation using Statistical Emulation. In: 13th International Conference on Computational Intelligence Methods for Bioinformatics and Biostatistics, Stirling, UK, 01-03 Sep 2016, pp. 184-198. ISBN 9783319678337 (doi: 10.1007/978-3-319-67834-4_15)
Luo, X. , Li, W., Hill, N. , Ogden, R. and Smythe, A. (2011) Inverse estimation of fibre reinforced soft tissue of human gallbladder wall. In: Inverse Problems in Science and Engineering, Cambridge, UK, 12-16 Dec 2011,
Watton, P.N. , Hill, N.A. and Dodds, S. (2005) Mechanical behaviour of a mathematical model of an abdominal aortic aneurysm subject to a prorogating pulse wave. In: Summer Bioengineering Conference, Vail, CO, USA, 22-26 Jun 2005, pp. 63-64. ISBN 9780974249216
Grants
2021-2022 Leverhulme Trust Research Fellowship on 'Coupling circulation models to the
micro-circulation', £55k (PI).
2021-2024 EPSRC SofTMech Statistical Emulation and Translation Hub, £1.3M (CI with
Husmeier et al.)
2020-2023 Royal Society International Exchange Grant £12k (PI with Dr Haofei Liu,
Tianjin University, PR China)
2020-2025 EPSRC SofTMechMP International Centre-to Centre Grant with MIT and
Politecnico di Milano £1.5M (CI with Luo et al.)
2019-2022 MRC award for “A randomized, double-blind, palcebo-controlled Phase 2A
cross-over trial of oral zibotentan in patients with angina due to small vessel
disease … £2.24M (CI with Berry et al.)
2017-2019 GSK award for “Investigation of post-myocardial infarction injury"
£465k (CI with Berry et al.)
2016-2020 EPSRC SofTMech Centre, £2.4M (FEC) (CI with Ogden et al.).
2009-2012 EPSRC grant on “Exploring the Mechanisms of Human Gallbladder"
£328,710 (Ref: EP/G015651) (CI with Luo, Ogden & Bird).
Supervision
- Maknitikul, Sitang
Investigating the cancer metabolites influence tumour microenvironment to promote cancer dissemination
Teaching
4H/5E Mathematical Biology
Research datasets
2023
Koery, J. , Hill, N. , Luo, X. and Stewart, P. (2023) Discrete-to-continuum models of pre-stressed cytoskeletal filament networks. [Data Collection]
2020
Stewart, P. , Barry, R. and Hill, N. (2020) Continuum soft tissue models from upscaling arrays of hyperelastic cells. [Data Collection]