Prof Nicholas Hill

  • Simson Chair of Mathematics, Head of School (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: 58.

2014

Qureshi, M. Umar, Vaughan, Gareth D.A., Sainsbury, Christopher, Johnson, Martin, Peskin, Charles S., Olufsen, Mette 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 . ISSN 1617-7959 (doi:10.1007/s10237-014-0563-y ) (Early Online Publication)

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. ISSN 1758-8251 (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. ISSN 1751-6161 (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. ISSN 1526-1492 (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. ISSN 0148-0731 (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. ISSN 0022-1120 (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. ISSN 0022-1120 (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. ISSN 1442-6404 (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. ISSN 0142-4319 (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. ISSN 0090-6964 (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, 12-16 Dec 2011, Cambridge, UK.

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. ISSN 0303-6812 (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. ISSN 1070-6631 (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

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. ISSN 1617-7959 (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. ISSN 0090-6964 (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. ISSN 1748-670X (doi:10.1080/17486700701780266 )

2007

Ghorai, S., and Hill, N.A. (2007) Gyrotactic bioconvection in three dimensions. Physics of Fluids, 19 (5). 054107. ISSN 1070-6631 (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. ISSN 0148-0731 (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. ISSN 1007-9327

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. ISSN 0950-9240

2005

Ghorai, S., and Hill, N.A. (2005) Penetrative phototactic bioconvection. Physics of Fluids, 17 (7). 074101. ISSN 1070-6631 (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. ISSN 1542-1406 (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. ISSN 0022-5193 (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. ISSN 0303-6812 (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. ISSN 0169-5983 (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. ISSN 0171-8630 (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. ISSN 1617-7959 (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. ISSN 0022-5193 (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. ISSN 1070-6631 (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. ISSN 0022-0949

Ghorai, S., and Hill, N.A. (2000) Wavelengths of gyrotactic plumes in bioconvection. Bulletin of Mathematical Biology, 62 (3). pp. 429-450. ISSN 0092-8240 (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. ISSN 0022-5193 (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. ISSN 1070-6631 (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. ISSN 0022-1120 (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. ISSN 1063-651X (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. ISSN 0092-0606 (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. ISSN 0303-6812

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. ISSN 0031-9007 (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. ISSN 1070-6631 (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. ISSN 0303-6812 (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. ISSN 0273-1177 (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. ISSN 0022-5193 (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. ISSN 0022-0949

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. ISSN 0022-1120 (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. ISSN 0022-5193 (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. ISSN 0022-3646 (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. ISSN 0022-1120 (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. ISSN 0022-1120 (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. ISSN 0022-1120 (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. ISSN 0045-7930 (doi:10.1016/0045-7930(88)90027-8)

This list was generated on Sat Aug 2 01:24:06 2014 BST.
Number of items: 58.

Article

Qureshi, M. Umar, Vaughan, Gareth D.A., Sainsbury, Christopher, Johnson, Martin, Peskin, Charles S., Olufsen, Mette 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 . ISSN 1617-7959 (doi:10.1007/s10237-014-0563-y ) (Early Online Publication)

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. ISSN 1758-8251 (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. ISSN 1751-6161 (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. ISSN 1526-1492 (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. ISSN 0148-0731 (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. ISSN 0022-1120 (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. ISSN 0022-1120 (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. ISSN 1442-6404 (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. ISSN 0142-4319 (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. ISSN 0090-6964 (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. ISSN 0303-6812 (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. ISSN 1070-6631 (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. ISSN 1617-7959 (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. ISSN 0090-6964 (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. ISSN 1748-670X (doi:10.1080/17486700701780266 )

Ghorai, S., and Hill, N.A. (2007) Gyrotactic bioconvection in three dimensions. Physics of Fluids, 19 (5). 054107. ISSN 1070-6631 (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. ISSN 0148-0731 (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. ISSN 1007-9327

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. ISSN 0950-9240

Ghorai, S., and Hill, N.A. (2005) Penetrative phototactic bioconvection. Physics of Fluids, 17 (7). 074101. ISSN 1070-6631 (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. ISSN 1542-1406 (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. ISSN 0022-5193 (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. ISSN 0303-6812 (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. ISSN 0169-5983 (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. ISSN 0171-8630 (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. ISSN 1617-7959 (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. ISSN 0022-5193 (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. ISSN 1070-6631 (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. ISSN 0022-0949

Ghorai, S., and Hill, N.A. (2000) Wavelengths of gyrotactic plumes in bioconvection. Bulletin of Mathematical Biology, 62 (3). pp. 429-450. ISSN 0092-8240 (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. ISSN 0022-5193 (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. ISSN 1070-6631 (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. ISSN 0022-1120 (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. ISSN 1063-651X (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. ISSN 0092-0606 (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. ISSN 0303-6812

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. ISSN 0031-9007 (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. ISSN 1070-6631 (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. ISSN 0303-6812 (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. ISSN 0273-1177 (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. ISSN 0022-5193 (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. ISSN 0022-0949

Vincent, R.V., and Hill, N.A. (1996) Bioconvection in a suspension of phototactic algae. Journal of Fluid Mechanics, 327 . pp. 343-371. ISSN 0022-1120 (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. ISSN 0022-5193 (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. ISSN 0022-3646 (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. ISSN 0022-1120 (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. ISSN 0022-1120 (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. ISSN 0022-1120 (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. ISSN 0045-7930 (doi:10.1016/0045-7930(88)90027-8)

Book Section

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

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, 12-16 Dec 2011, Cambridge, UK.

This list was generated on Sat Aug 2 01:24:06 2014 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)