Professor Nicholas Hill

  • Simson Chair of Mathematics (Mathematics)

telephone: 01413304258
email: Nicholas.Hill@glasgow.ac.uk

Room 524
Mathematics
Mathematics Building
Glasgow G12 8QW


Personal website

Research Interests

My work involves mathematical modelling applied to range of problems and challenges in biology and physiology.

Professor Xiaoyu Luo, Dr Steve Roper and I, together with clinical colleagues, are developing continuum models to help to understand the remodelling of the large arteries in health and disease, and to determine stress in the gall-bladder and its relationship to pain. I have research projects on the circulation of blood and the propagation of the physiological pressure pulse, in collaboration with clinicians based in Glasgow and applied mathematicians in the USA.

I carry out theoretical and experimental investigations of pattern-formation by suspensions of micro-organisms (bioconvection), which are a paradigm for the development of complexity in biology. I also study random walk models of the motion of individual micro-organisms and animals, and spatial point process models of plant ecology.

Research Groups

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Number of items: 62.

2015

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)

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, (Accepted for Publication)

Qureshi, M. U., and Hill, N.A. (2015) A computational study of pressure wave reflections in the pulmonary arteries. Journal of Mathematical Biology, (doi:10.1007/s00285-015-0867-2 ) (PMID:25754476) (Early Online Publication)

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, (doi:10.1007/s10665-014-9757-7) (Early Online Publication)

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 )

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)

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, 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)

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 & Fluids, 16(4), pp. 445-458. (doi:10.1016/0045-7930(88)90027-8)

This list was generated on Wed Jul 1 12:56:59 2015 BST.
Number of items: 62.

Articles

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)

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, (Accepted for Publication)

Qureshi, M. U., and Hill, N.A. (2015) A computational study of pressure wave reflections in the pulmonary arteries. Journal of Mathematical Biology, (doi:10.1007/s00285-015-0867-2 ) (PMID:25754476) (Early Online Publication)

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, (doi:10.1007/s10665-014-9757-7) (Early Online Publication)

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 )

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)

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, 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 & 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 Proceedings

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,

This list was generated on Wed Jul 1 12:56:59 2015 BST.

Current PhD students

Weiwei Chen (Modelling the circulation for a human heart)
Lei Wang (Modelling aortic dissection using the finite element methods)
Reem Almahmud (Wavelet analysis of bioconvection and mixed suspensions)
Scott Richardson ('Bioconvection and swimming micro-organisms' )