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1. Hill, N.A.
``Willis's problem and related topics in
anisotropic elastodynamics.''
M.Sc. Dissertation, University of
East Anglia, 1981.
2. Hill, N.A. ``Nonlinear effects in
(i)
magnetohydrodynamic waves in a bounded
rotating fluid and (ii) Taylor vortices.'' Ph.D.
Thesis, University of London, 1985.
3. Hill, N.A. ``Numerical studies
of `side-by-side' and other
modes for the Taylor problem in a finite
annulus.'' Computers & Fluids,
16, pp. 445-458, 1988.
4. Pedley,
T.J., Hill, N.A. & Kessler, J.O.
``The growth of bioconvection
patterns in a uniform suspension of gyrotactic
micro-organisms.'' Journal of Fluid
Mechanics, 195, pp. 223-238, 1988.
5. Tomson,
A.M., Demets,
R., Musgrave, A., Hill, N.A., Kooijman, R., Stegwee, D. &
Van den Ende,
H. ``Cooperative activation of mating
receptors underlies sexual cell adhesion and
aggretation in Chlamydomonas.'' In
``Sexual communication in the green alga
Chlamydomonas
eugametos'',
Ph.D. Thesis, Tomson,
A.M. & Demets,
R., University of Amsterdam, pp. 141-175,
1989.
6. Hill, N.A., Pedley,
T.J. & Kessler, J.O. ``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, 1989.
7. Davis, R.H. & Hill, N.A.
``Hydrodynamic diffusion of a heavy sphere sedimenting through
a suspension of neutrally-buoyant spheres.''
Journal of Fluid Mechanics, 236, pp.
513-533, 1992.
8. Kessler, J.O., Hill, N.A. & Häder, D.-P.
``Orientation of swimming flagellates by
simultaneously acting external factors.'' Journal
of Phycology, 28, 816-822, 1992.
9. Hill, N.A. & Vincent, R.V.
``A simple model and strategies for
orientation in phototactic
micro-organisms.'' Journal of
Theoretical Biology, 163, pp. 223-235,
1993.
10. Hill, N.A. ``Trajectories of
swimming micro-organisms and continuum
models of bioconvection.''
In ``Experimental and Theoretical
Advances in Biological Pattern Formation'',
ed. H.G. Othmer
et al., pp. 101-103, 1993, Plenum Press, New
York.
11. Kessler, J.O., Hoelzer,
M.A., Pedley,
T.J. & Hill, N.A. ``Functional
Patterns of swimming bacteria.'' In ``Mechanics
and physiology of animal swimming'', Maddock, L., Bone,
Q. & Rayner, J.M.V. (eds.), pp. 3-12,
1994, Cambridge University Press.
12. Kessler, J.O. & Hill, N.A.
``Microbial consumption patterns.'' In ``Spatio-temporal
patterns in nonequilibrium
complex systems.'' (Proceedings of
NATO ARW XXI Santa Fe, April 1993.) ed. by Cladis, P.E. & Palffy-Muhoray, P.,
pp. 635-648, 1994, Addison Wesley.
13. Vincent, R.V. & Hill, N.A. ``Bioconvection in a
suspension of phototactic
algae.'' Journal of Fluid Mechanics,
327, pp. 343-371, 1996.
14. Hill, N.A. Bioconvection.
In ``Case Studies in Mathematical
Modelling - Ecology, Physiology, and Cell
Biology,'' ed. by Othmer, H.G., Adler,
F.R., Lewis, M.A. & Dallon, J.C.
339-351, Prentice-Hall (1997).
15. Kessler, J.O. & Hill, N.A.
Complementarity of Physics, Biology and
Geometry in the Dynamics of Swimming
Micro-Organisms. In ``Physics of
Biological Systems. From Molecules to
Species'' ed. by Flyvbjerg,
H., Hertz, J., Jensen, M.H., Mouritsen, O.G.
& Sneppen,
K., 325-340, Springer (1997).
16. Hill, N.A. & Häder, D.-P. A
Biased Random Walk Model for the
Trajectories of Swimming Micro-Organisms. Journal
of Theoretical Biology, 186, 503-526
(1997).
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17. Bees, M.A. & Hill, N.A.
Wavelengths of Bioconvection
Patterns. Journal of Experimental
Biology, 200, 1515-1526, (1997).
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18. Bees, M.A., Hill, N.A. & Pedley, T.J.
Analytical Approximations for the
Orientation Distributions of Small Dipolar
Particles in Steady Shear Flows. Journal
of Mathematical Biology, 36, 269-298
(1998).
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19. Kessler, J.O., Hill, N.A., Strittmatter, R.
& Wiseley,
D. Sedimenting
Particles and Swimming Micro-Organisms in a
Rotating Fluid. Advances in Space
Research, 21, 1269-1275 (1998).
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pdf file
20. Bees, M.A. & Hill, N.A.
Linear Bioconvection
in a Suspension of Randomly Swimming, Gyrotactic
Micro-Organisms. Physics of Fluids A
10, No. 8, 1864-1881 (1998).
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pdf file Download gzipped ps file
21. Biktashev,
V.N., Holden, A.V., Tsyganov,
M.A., Brindley, J. & Hill, N.A.
Excitation Wave Breaking in Excitable Media
with Linear Shear Flow. Physics Review
Letters, 81, No. 13, 2815-2818
(1998).
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22. Bees, M.A. & Hill, N.A.
Non-Linear Bioconvection
in a Deep Suspension of Gyrotactic Swimming
Micro-Organisms. Journal of Mathematical
Biology 38, No.2, 135-168
(1999).
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23. Biktashev,
V.N., Biktasheva,
I.V., Holden, A.V., Tsyganov,
M.A., Brindley, J. & Hill, N.A. Effects
of Shear Flows on Nonlinear Flows in
Excitable Media. Journal of Biological
Physics, 25, 101-113 (1999).
24. Biktashev,
V.N., Biktasheva,
I.V., Holden, A.V., Tsyganov,
M.A., Brindley, J. & Hill, N.A.
Spatiotemporal irregularity in a moving
excitable medium. Physics Review E
60, 1897-1900 (1999).
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25. Ghorai,
S. & Hill, N.A. ``Development and
stability of gyrotactic
plumes in bioconvection.''
Journal of Fluid Mechanics, 400, pp.
1-31, 1999.
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26. Ghorai,
S. & Hill, N.A. ``Periodic arrays of gyrotactic plumes in
bioconvection.''
Physics of Fluids, 12, No. 1, pp.
5-22, 2000.
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27. Hill, N.A. & Plumpton,
L.A. ``Control strategies for the polarotactic
orientation of the micro-organism Euglena gracilis.'' Journal
of Theoretical Biology, 203, pp.
357-365, 2000.
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28. Ghorai,
S. & Hill, N.A. ``Wavelengths of gyrotactic plumes in
bioconvection.''
Bulletin of Mathematical Biology, 62,
pp. 429-450, 2000.
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29. Roberts, A., Hill, N.A. & Hicks,
R. ``Simple mechanisms organise orientation
of escape swimming in embryos and hatchling
tadpoles of Xenopus
laevis.'' Journal
of Experimental Biology, 203, pp.
1869-1885, 2000.
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30. Hill, N.A. & Spendiff,
M.K. ``A model for the interaction between
intimal hyperplasia and blood flow.'' Amer.
Soc. of Mech. Eng. BED-Vol.50,
Proceedings of the 2001 Bioengineering
Conference, pp. 489-490.
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pdf file
31. Watton,
P.N. & Hill, N.A. ``Abdominal aortic
aneurysms - a new mathematical model.'' Amer.
Soc. of Mech. Eng. BED-Vol.50,
Proceedings of the 2001 Bioengineering
Conference, pp. 513-514.
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pdf file
32. Hill, N.A. & Bees, M.A. ``Taylor
dispersion of gyrotactic
swimming micro-organisms in a linear shear
flow.'' Physics of Fluids, 14, pp.
2598-2605, 2002.
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33. Ghorai,
S. & Hill, N.A. ``Axisymmetric bioconvection in a
cylinder.'' Journal of Theoretical
Biology, 219, pp. 137-152, 2002.
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file
34. Watton,
P.N., Hill, N.A. & Heil,
M. ``A mathematical model for the growth of
the abdominal aortic aneurysm.'' Biomechanics
and Modeling
in Mechanobiology,
3, pp. 98-113, 2004.
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pdf file
35. Codling, E.A., Hill, N.A., Pitchford, J.W.
& Simpson, S.D. ``Random walk models for
the movement and recruitment of reef fish
larvae.'' Marine Ecology Progress Series,
279, pp. 215-224, 2004.
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pdf file
36. Codling, E.A. & Hill, N.A.
``Sampling rate effects on measurements of
correlated and biased random walks.'' Journal
of Theoretical Biology, 233, pp.
573-588, 2005.
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pdf file
37. Miroshnychenko,
D., Hill, N.A., Mottram, N.J. & Lydon, J.E.
``Evolution from a +2 defect to +1/2 defects
in a cylindrical geometry.'' Molecular
Crystals & Liquid Crystals, 437,
pp. 251-267, 2005.
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38. Codling, E.A. & Hill, N.A.
``Calculating spatial statistics for
velocity jump processes with experimentally
observed reorientation parameters.''
Journal of Mathematical Biology,
51(5), 527-556, 2005.
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pdf file, electronic
publication
39. Hill, N.A. & Pedley,
T.J. ``Bioconvection.''
Fluid Dynamics Research, 37, pp.
1-20, 2005.
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file
40. Ghorai, S. &
Hill, N.A. ``Penetrative phototactic bioconvection.'' Physics
of Fluids, 17, 074101, 2005.
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file
41. Li, W.G., Luo, X.Y.,
Johnson, A.G., Hill, N.A., Bird, N. &
Chin, S.B. ``One-dimensional models for the
human biliary system.'' ASME Journal of
Biomechanical Engineering, 129,
pp. 164-173, 2007.
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file
42. Luo, X.Y., Li, W.,
Bird, N., Chin, S.B., Hill, N.A. &
Johnson, A.G. ``On the mechanical behaviour
of the human biliary system.'' World
J. of Gastroenterology, 13(9): 1384-1392, 2007.
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file
43. Ghorai,
S. & Hill, N.A. ``Gyrotactic
bioconvection in
three dimensions.'' Physics
of Fluids, 19, 054107, 2007.
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file
44. Li, W., Luo, X.Y.,
Hill, N.A., Smythe,
A., Chin, S.B., Johnson, A.G. & Bird, N.
``Correlation
of Mechanical Factors and Gallbladder Pain.'' Computational
and Mathematical Methods in Medicine,
Vol. 9,
27-45, 2008.
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doc file
45.
Li,
W.G., Luo X.Y., Chin S. B., Hill N.A.,
Johnson, A.G. & Bird N.C.
``Non-Newtonian Bile Flow in Elastic Cystic
Duct: One- and Three-Dimensional Modelling."
Annals
of Biomedical Engineering, 36(11),
1893-1908, 2008, DOI:
10.1007/s10439-008-9563-3.
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file
46. Watton,
P.N. & Hill, N.A. ``Evolving mechanical
properties of a model of abdominal aortic
aneurysm.'' Biomechanics and Modeling in Mechanobiology, 8:
25-42, 2009, DOI: 10.1007/s10237-007-0115-9.
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pdf file
47. Raghib, M., Hill, N.A.
& Dieckmann,
U. ``Multiscale maximum
entropy closure for locally regulated
space-time point process models of plant
population dynamics. Journal
of Mathematical Biology, 2010,
DOI
10.1007/s00285-010-0345-9.
48.
Ghorai, S.,
Panda, M.K. & Hill, N.A. ``Bioconvection in a
suspension of isotropically
scattering phototactic
algae." Physics
of Fluids, 22,
071901, 2010, DOI:
10.1063/1.3457163.
49.
Liu, Z., Xu, X., Lim, F.F.J., Luo, X.Y., 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. IFMBE
Proceedings (31). Springer-Verlag, pp. 686-689.
ISBN 9783642145148.
50. Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A. & Bird, N. ``A mechanical model for CCK induced acalculous gallbladder pain." Annals of Biomedical Engineering, 39, 786-800, 2011, DOI 10.1007/s10439-010-0205-1.
51. Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Tian, T., Smythe, A., Majeed, A.W. & Bird, N. ``Cross-bridge apparent rate constants of human gallbladder smooth muscle." J Muscle Res Cell Motil, 32 (3), 209-220, 2011, DOI 10.1007/s10974-011-9260-y.
52. Lockington, D.,
Luo, X.Y., Wang, H.M., Hill,
N.A. & Ramaesh,
K.
``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),
182-186, 2012.
53.
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).
54.
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).
55. 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).
56. 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).
57. Li,
W.G., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A.W., Bird,
N. & 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).
58. F.
Wang, J.L. Li, B.X. Yang & N.A. Hill
(2013) Modeling
and Simulation of Non-Newtonian Fluid Mold Filling Process
with Phase Change. Computer
Modeling in
Engineering & Sciences, 95(1)
pp. 59-85 (doi:10.3970/cmes.2013.095.059).
59.
Qureshi, M. Umar, Vaughan, Gareth D.A.,
Sainsbury, Christopher, Johnson, Martin,
Peskin, Charles S., Olufsen, Mette S. &
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. ISSN 1617-7959
(doi:10.1007/s10237-014-0563-y).
60. Wang, L., Roper, S.M., Luo,
X.Y. & 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).
61. Qureshi, M. Umar & Hill, N.A. (2015)
A computational study of pressure wave
reflections in the pulmonary arteries.
Journal of Mathematical Biology,
online publication (doi:10.1007/s00285-015-0867-2)
62. Ghorai, S., Singh, R. & Hill,
N.A. (2015) Wavelength selection in
gyrotactic bioconvection.
Bulletin of Mathematical Biology,
online publication
(doi:10.1007/s11538-015-0081-9).
63. Qi, N., Gao, H., Ogden, R.W., Hill,
N.A., Holzapfel, G.A, Han, H. & Luo,
X.Y. (2015) Investigation of the optimal
collagen fi bre orientation in human iliac
arteries. Accepted by Journal
of the Mechanical Behavior of Biomedical
Materials.
64. Chen, W., Gao, H., Luo, X.Y. & Hill, N.A. (2015) A coupled left ventricle and systemic arteries model. Under review.
65. Qi, N., Stewart, P.S., Wang, H., Gao, H., Hill, N.A., Lockington, D., Ramaesh, K. & Luo, X.Y. (2015) Modelling of iris buckling within floppy iris syndrome. Under review.
66. Gao, H., Griffith, B.E., Carrick, D., Hill, N.A., Berry, C. & Luo, X.Y. (2015) Assessing Left Ventricular Pump Function Using an Immersed Boundary-Finite Element Model. Under review.
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