Prof Nicholas Hill

  • Head of School (Mathematics)

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


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.

Dr Martin Bees and 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

Due to essential maintenance on Enlighten, links to individual publications may be temporarily unavailable

Jump to: 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2005 | 2004 | 2002 | 2001 | 1999 | 1998 | 1997
Number of items: 35.

2013

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)

Li, W.G., Luo, X.Y., Hill, N., Ogden, R.W., Smythe, A., Majeed, A., and Bird, N. (2013) Anisotropic behaviour of human gallbladder walls. Journal of the Mechanical Behavior of Biomedical Materials, 20 . pp. 363-375. ISSN 1751-6161

Li, W.G., Hill, N.A., Going, J., and Luo, X.Y. (2013) Breaking analysis of artificial elastic tubes and human artery. Journal of Applied Mechanics . ISSN 0021-8936 (In Press)

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

1999

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

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)

1997

Bees, M.A., and Hill, N.A. (1997) Wavelengths of bioconvection patterns. Journal of Experimental Biology, 200 (10). pp. 1515-1526. ISSN 0022-0949

This list was generated on Wed Oct 2 00:22:36 2013 BST.

Current PhD students

Weiwei Chen (Modelling the circulation for a human heart)
Muhammad Umar Qureshi (Pulse Propagation in the Pulmonary Circulation)
Lei Wang (Modelling aortic dissection using the finite element methods)
Reem Almahmud (Wavelet analysis of bioconvection and mixed suspensions)