M.R. Owen, J.A. Sherratt, H.J. Wearing:
Lateral induction by juxtacrine signalling is a new mechanism for
pattern formation.
Dev. Biol. 217: 54-61 (2000).
Click to see the paper
1999:
S.D. Webb, J.A. Sherratt, R.G. Fish:
Alterations in proteolytic activity at low pH and its association with
invasion: a theoretical model.
Invasion and metastasis 17: 397-407 (1999).
Click to see the paper
A.L. Kay, J.A. Sherratt:
On the persistence of spatiotemporal oscillations generated
by invasion.
IMA J. Appl. Math. 63: 199-216 (1999).
Click to see the paper
J. Dallon, J.A. Sherratt, P.K. Maini:
Mathematical modelling of extracellular matrix dynamics using discrete
cells: fibre orientation and tissue regeneration.
J. Theor. Biol. 199: 449-471 (1999).
Click to see the paper
M.R. Owen, J.A. Sherratt:
Mathematical modelling of macrophage dynamics in tumours.
Math. Models Meth. Appl. Sci. 9: 513-539 (1999).
Click to see the paper
L. Olsen, P.K. Maini, J.A. Sherratt, J. Dallon:
Mathematical modelling of anisotropy in fibrous connective tissue.
Math. Biosci. 158: 145-170 (1999).
Click to see the paper
E.A. Gaffney, P.K. Maini, J.A. Sherratt, S. Tuft:
The mathematical modelling of cell kinetics in corneal epithelial wound
healing.
J. Theor. Biol. 197: 15-40 (1999).
Click to see the paper
A.J. Perumpanani, J.A. Sherratt, J. Norbury, H. Byrne:
A two parameter family of travelling waves with a singular barrier
arising from the modelling of matrix mediated malignant invasion.
Physica D 126: 145-159 (1999).
Click to see the paper
M.R. Owen, J.A. Sherratt, S.R. Myers:
How far can a juxtacrine signal travel?
Proc. R. Soc. Lond. B 266: 579-585 (1999).
Click to see the paper
S.D. Webb, J.A. Sherratt, R.G. Fish:
Mathematical modelling of tumour acidity: regulation of
intracellular pH.
J. Theor. Biol. 196: 237-250 (1999).
Click to see the paper
1998:
A.J. Perumpanani, D.L. Simmons, A.J.H. Gearing, K.M. Miller, G. Ward,
J. Norbury, M. Schneemann, J.A. Sherratt:
Does extracellular matrix mediated chemotaxis promote or impede cell
migration?
Proc. R. Soc. Lond. B 265: 2347-2352 (1998).
Click to see the paper
L. Olsen, P.K. Maini, J.A. Sherratt, B.P. Marchant:
Simple modelling of extracellular matrix alignment in dermal
wound healing. I. Cell flux induced alignment.
J. Theor. Med 1: 172-192 (1998).
Click to see the paper
D.L. Benson, P.K. Maini, J.A. Sherratt:
Unravelling the Turing bifurcation using spatially varying
diffusion coefficients. J. Math. Biol. 37: 381-417 (1998).
Click to see the paper
M.R. Owen, J.A. Sherratt:
Mathematical modelling of juxtacrine cell signalling.
Math. Biosci. 153: 125-150 (1998).
Click to see the paper
J.A. Sherratt:
Invasive wave fronts and their oscillatory wakes are linked by a
modulated travelling phase resetting wave.
Physica D 117: 145-166 (1998).
Click to see the paper
J.A. Sherratt: On the transition from initial data
to travelling waves in the Fisher-KPP equation.
Dyn. Stab. Sys. 13: 167-174 (1998).
Click to see the paper
M.R. Owen, J.A. Sherratt:
Modelling the macrophage invasion of tumours: effects on growth and
composition.
IMA J. Math. Appl. Med. Biol. 15: 165-185 (1998).
Click to see the paper
J. Dallon, J.A. Sherratt:
A mathematical model for fibroblast and collagen orientation.
Bull. Math. Biol. 60: 101-130 (1998).
Click to see the paper
L. Olsen, P.K. Maini, J.A. Sherratt:
Spatially varying equilibria of mechanical models: application to
dermal wound contraction.
Math. Biosci. 147: 113-129 (1998).
Click to see the paper
1997:
L. Olsen, J.A. Sherratt, P.K. Maini, F. Arnold:
A mathematical model for the capillary endothelial cell
extracellular matrix interactions in wound healing angiogenesis.
IMA J. Math. Appl. Med. Biol. 14: 261-282 (1997).
Click to see the paper
M.R. Owen, J.A. Sherratt:
Pattern formation and spatiotemporal irregularity in a
model for macrophage-tumour interaction.
J. Theor. Biol. 189: 63-80 (1997).
Click to see the paper
A.J. Perumpanani, J.A. Sherratt, J. Norbury:
Mathematical modelling of capsule formation and multinodularity
in benign tumour growth.
Nonlinearity 10: 1599-1614 (1997).
Click to see the paper
P.D. Dale, J.A. Sherratt, P.K. Maini:
The role of fibroblast migration in collagen fibre formation during
foetal and adult dermal wound healing.
Bull. Math. Biol. 59: 1077-1100 (1997).
Click to see the paper
E.A. Gaffney, P.K.Maini, J.A. Sherratt, P.D. Dale:
Wound healing in the corneal epithelium: biological mechanisms
and mathematical models.
J. Theor. Med. 1: 13-23 (1997).
(A review paper).
Click to see the paper
J.A. Sherratt, B.T. Eagan, M.A. Lewis:
Oscillations and chaos behind predator-prey invasion: mathematical
artifact or ecological reality? Phil. Trans. R. Soc. B
352: 21-38 (1997).
Click to see the paper
J.A. Sherratt: A comparison of two numerical methods for oscillatory reaction-diffusion equations.
Appl. Math. Lett. 10(2): 1-5 (1997).
Click to see the paper
J. Sneyd, J.A. Sherratt:
On the propagation of calcium waves in an inhomogeneous medium.
SIAM J. Appl. Math. 57: 73-94 (1997).
Click to see the paper
1996:
A.J. Perumpanani, J.A. Sherratt, J. Norbury, H.M. Byrne:
Biological inferences from a mathematical model for malignant
invasion.
Invasion and Metastasis 16: 209-221 (1996).
Click to see the paper
J.A. Sherratt: Oscillatory and chaotic wakes behind moving boundaries in
reaction-diffusion systems.
Dynam. Stab. Systems 11: 303-325 (1996).
Click to see the paper
J.A. Sherratt, B.P. Marchant:
Non-sharp travelling wave fronts in the Fisher equation with
degenerate nonlinear diffusion.
Appl. Math. Lett. 9(5): 33-38 (1996).
Click to see the paper
J.A. Sherratt: Periodic travelling waves in a family of deterministic
cellular automata. Physica D 95: 319-335 (1996).
Click to see the paper
L. Olsen, J.A. Sherratt, P.K. Maini:
A mathematical model for fibro-proliferative wound healing disorders.
Bull. Math. Biol. 58: 787-808 (1996).
Click to see the paper
J.A. Sherratt, B.P. Marchant:
Algebraic decay and variable speeds in wave front solutions of
a scalar reaction-diffusion equation.
IMA J. Appl. Math. 56: 289-302 (1996).
Click to see the paper
J.A. Sherratt: Periodic waves in reaction-diffusion models
of oscillatory biological systems.
FORMA 11: 61-80 (1996).
Click to see the paper
P.D. Dale, J.A. Sherratt, P.K. Maini:
A Mathematical model for collagen fibre formation during foetal and
adult dermal wound healing.
Proc. R. Soc. Lond. B 263: 653-660 (1996).
Click to see the paper
1995:
L. Olsen, J.A. Sherratt, P.K. Maini:
A mechanochemical model for adult dermal wound contraction: on
the permanence of the contracted tissue displacement profile.
J. Theor. Biol. 177: 113-128 (1995).
Click to see the paper
J.A. Sherratt, P.K. Maini, W. Jager, W.A. Muller:
A receptor based model for pattern formation in Hydra.
FORMA 10: 77-95 (1995).
Click to see the paper
A.J. Perumpanani, J.A. Sherratt, P.K. Maini:
Phase differences in reaction-diffusion-advection systems and applications
to morphognesis. IMA J. Appl. Math. 55: 19-33 (1995).
Click to see the paper
T. Hofer, J.A. Sherratt, P.K. Maini:
Cellular pattern formation in a model of Dictyostelium
aggregation. Physica D 85: 425-444 (1995).
Click to see the paper
J.A. Sherratt: Diffusion driven instability in oscillating environments.
Eur. J. Appl. Math. 6: 355-372 (1995).
Click to see the paper
P.D. Dale, L. Olsen, P.K. Maini, J.A. Sherratt:
Travelling waves in wound healing.
FORMA 10: 205-222 (1995).
(A review paper).
Click to see the paper
J.A. Sherratt, M.A. Lewis, A.C. Fowler:
Ecological chaos in the wake of invasion.
Proc. Natl. Acad. Sci. USA 92: 2524-2528 (1995).
Click to see the paper
J.A. Sherratt: Unstable wavetrains and chaotic wakes in reaction-diffusion
systems of lambda-omega type.
Physica D 82: 165-179 (1995).
Click to see the paper
T. Hofer, J.A. Sherratt, P.K. Maini:
Dictyostelium discoideum: cellular self-organisation in an
excitable biological medium.
Proc. R. Soc. Lond. B 259: 249-257 (1995).
Click to see the paper
J.A. Sherratt: Turing bifurcations with a temporally varying diffusion
coefficient. J. Math. Biol. 33: 295-308 (1995).
Click to see the paper
1994:
P.D. Dale, P.K. Maini, J.A. Sherratt: Mathematical modelling of corneal
epithelial wound healing. Math. Biosci. 124:
127-147 (1994). WINNER OF THE SIXTH BELLMAN PRIZE.
Click to see the paper
J.A. Sherratt: On the evolution of periodic plane waves in reaction-diffusion
equations of lambda-omega type.
SIAM J. Appl. Math. 54: 1374-1385 (1994).
Click to see the paper
T. Hofer, P.K. Maini, J.A. Sherratt, M.A.J. Chaplain, P. Chauvet,
D. Metevier, P.C. Montes, J.D. Murray:
A resolution of the chemotactic wave paradox.
Appl. Math. Lett. 7: 1-5 (1994).
Click to see the paper
J.A. Sherratt: On the speed of amplitude transition waves in
reaction diffusion equations of lambda-omega type.
IMA J. Appl. Math. 52: 79-92 (1994).
Click to see the paper
J.A. Sherratt:
Irregular wakes in reaction-diffusion waves.
Physica D 70: 370-382 (1994).
Click to see the paper
P.D. Dale, J.A. Sherratt, P.K. Maini: On the speed of corneal
epithelial wound healing. Appl. Math. Lett. 7: 11-14 (1994).
Click to see the paper
J.A. Sherratt: Chemotaxis and chemokinesis in eukaryotic cells:
the Keller-Segel equations as an approximation to a detailed model.
Bull. Math. Biol. 56: 129-146 (1994).
Click to see the paper
1993:
J.A. Sherratt: Transition waves that
leave behind regular or irregular spatiotemporal
oscillations in a system of three reaction-diffusion equations.
Int. J. Bifurc. Chaos 3: 1269-1279 (1993).
Click to see the paper
J.A. Sherratt: The amplitude of periodic plane waves depends on initial
conditions in a variety of lambda-omega systems.
Nonlinearity 6: 1055-1066 (1993).
Click to see the paper
D.L. Benson, P.K. Maini, J.A. Sherratt:
Analysis of pattern formation in reaction-diffusion models with
spatially inhomogeneous diffusion coefficients.
Math. Comp. Modelling 17: 29-34 (1993).
Click to see the paper
J.A. Sherratt: Cellular growth control and travelling waves of cancer.
SIAM J. Appl. Math. 53: 1713-1730 (1993).
Click to see the paper
J.A. Sherratt: Actin aggregation and embryonic epidermal wound healing.
J. Math. Biol. 31: 703-716 (1993).
Click to see the paper
J.A. Sherratt, E.H. Sage, J.D. Murray:
Chemical control of eukaryotic cell movement: a new model.
J. Theor. Biol. 162: 23-40 (1993).
Click to see the paper
J.A. Sherratt, J. Lewis: Stress-induced alignment of actin
filaments and the
mechanics of cytogel.
Bull. Math. Biol. 55: 637-654 (1993).
Click to see the paper
D.L. Benson, J.A. Sherratt, P.K. Maini:
Diffusion driven instability in an inhomogeneous domain.
Bull. Math. Biol. 55: 365-384 (1993).
Click to see the paper
1992:
J.A. Sherratt, J.D. Murray:
Epidermal wound healing: a theoretical approach.
Comments Theor. Biol. 2: 315-333 (1992).
Click to see the paper
P.K. Maini, D.L. Benson, J.A. Sherratt: Pattern formation in reaction-diffusion
models with spatially inhomogeneous diffusion coefficients.
IMA J. Math. Appl. Med. Biol. 9: 197-213 (1992).
Click to see the paper
J.A. Sherratt, P. Martin, J.D. Murray, J. Lewis:
Mathematical models of wound healing in embryonic and adult epidermis.
IMA J. Math. Appl. Med. Biol. 9: 177-196 (1992).
Click to see the paper
J.A. Sherratt, J.D. Murray:
Epidermal wound healing: the clinical implications of a simple
mathematical model.
Cell Transplantation 1: 365-371 (1992).
Click to see the paper
J.A. Sherratt, M.A. Nowak:
Oncogenes, anti-oncogenes and the immune response to cancer.
Proc. R. Soc. Lond. B 248: 261-271 (1992).
Click to see the paper
1991:
J.A. Sherratt:
A perturbation problem arising from a mechanical model for epithelial
morphogenesis.
IMA J. Appl. Math. 47: 147-162 (1991)
Click to see the paper
J.A. Sherratt, J.D. Murray:
Mathematical analysis of a basic model for epidermal wound healing.
J. Math. Biol. 29: 389-404 (1991).
Click to see the paper
1990:
J.A. Sherratt, J.D. Murray:
Models of epidermal wound healing.
Proc. R. Soc. Lond. B 241: 29-36 (1990).
Click to see the paper
Papers in Conference
Proceedings, Book Chapters, Etc
-
J.A. Sherratt:
Turing patterns in deserts.
In: "How the World Computes", ed. S.B. Cooper, A. Dawar, B. Lowe,
Lecture Notes in Computer Science 7318, Springer, New York,
pp. 667-674 (2012).
Click to see the paper
-
J.A. Sherratt, M.J. Smith, J.D.M. Rademacher:
Spatiotemporal dynamics in ecology: insights from physics.
In: "XVIth International Congress on Mathematical Physics",
ed. P. Exner, World Scientific, pp. 651-655 (2010).
Click to see the paper
-
S.D. Webb, J.A. Sherratt, R.G. Fish:
Modelling Tumour Acidity and Invasion. In:
"The tumour microenvironment: causes and consequences of hypoxia and
acidity", Novartis Foundation, John Wiley & Son, London, pp. 169-185
(2001).
Click to see the paper
-
J.A. Sherratt:
Healing by numbers: mathematics meets medicine.
The Biologist 48, 254-258 (2001).
(An article intended for a biological audience).
Click to see the paper
-
J.A. Sherratt:
Predictive mathematical modelling in metastasis.
In: "Metastasis Methods and Protocols", ed. S. Brooks,
Humana Press, pp. 309-316 (2001).
Click to see the paper
-
N.A. Monk, J.A. Sherratt, M.R. Owen:
Mathematical modelling of juxtacrine signalling: a review
spatiotemporal patterning in models of juxtacrine intercellular
signalling with feedback.
In: "Mathematical models for biological pattern formation",
ed. P.K. Maini, H.G. Othmer, Springer-Verlag, pp. 165-192 (2000).
Click to see the paper
-
J.A. Sherratt, A.J. Perumpanani, M.R. Owen:
Pattern formation in cancer.
In: "On Growth and Form: Spatio-Temporal Pattern Formation in Biology",
ed. M.A.J. Chaplain, G.D. Singh, J.C. McLachlan,
Wiley, pp. 47-73 (1999).
Click to see the paper
-
J.A. Sherratt, J.C. Dallon, T. Hofer, P.K. Maini:
Mathematical modelling of signalling in Dictyostelium discoideum.
In: "Microbial Signalling and Communication",
ed. R.R. England, G. Hobbs, N.J. Bainton, D. McL. Roberts,
Cambridge University Press, pp. 241-254 (1999).
Click to see the paper
-
J.A. Sherratt:
Mathematical modelling of cancer invasion and metastasis.
Clin. Exp. Metastasis 15: 63-65 (1997).
(A workshop report that preceeds abstracts of the presentations).
Click to see the paper
Back to Jonathan Sherratt's Home Page
Back to Papers in Peer-Reviewed Journals
Back to Papers in Conference Proceedings, Book Chapters, Etc
++++++++
\item
\me, Q.-X. Liu, J. van de Koppel:
A comparison of the ``reduced losses'' and ``increased production''
models for mussel bed dynamics.
{\it Bull.\ Math.\ Biol.} {83}, 99 (2021).
\end{enumerate}
{\bf Book Chapters, Papers in Conference Proceedings, Magazine Articles}
\vspace*{-5mm}
\begin{enumerate}
\item
P.K. Maini, D.L. Benson, \me:
Environmental instability in heterogeneous domains.
{\em J. Agricul.\ Sci.} {119}, 138-139 (1992).
\item
\me, J. Lewis: Stress-induced alignment of intracellular actin
filaments. {\em Mol.\ Biol.\ Cell} {3(S)}, A37 (1992).
\item
D.L. Benson, P.K. Maini, \me:
Pattern formation in heterogeneous domains.
In: {\em Experimental and theoretical advances in
biological pattern formation},
ed.\ H.G. Othmer, P.K. Maini, J.D. Murray,
Plenum Press, New York, pp.~29-32 (1993).
\item
\me, J. Lewis:
Modelling actin filament alignment.
In: {\em Experimental and theoretical advances in
biological pattern formation},
ed.\ H.G. Othmer, P.K. Maini, J.D. Murray,
Plenum Press, New York, pp.~319-324 (1993).
\item
T. H\"{o}fer, P.K. Maini, \me:
A mathematical model for chemotactic movement and aggregation in
cellular slime moulds. {\em J. Agricul.\ Sci.} {123}, 149-154
(1994).
\item
P.D. Dale, \me, P.K. Maini: Corneal epithelial wound healing.
{\em J. Biol.\ Sys.} {3}, 957-965 (1995).
\item
\me:
Trust me I'm a mathematician.
{\em New Scientist}
{1997}, 36-39 (1995).
\item
T. H\"{o}fer, P.K. Maini, \me, M.A.J. Chaplain, J.D. Murray:
Resolving the chemotactic wave paradox: a mathematical model for
chemotaxis of {\em Dictyostelium} amoebae.
{\em J. Biol.\ Sys.} {3}, 967-973 (1995).
\item
L. Olsen, \me, P.K. Maini:
A mechanochemical model for adult dermal wound contraction.
{\em J. Biol.\ Sys.} {3}, 1021-1031 (1995).
\item
L. Olsen, P.K. Maini, \me:
A mechanochemical model for normal and abnormal dermal wound repair.
{\em Nonlinear Analysis -- Theory, Methods, Appl.} {30},
3333-3338 (1997).
\item
\me, A.J. Perumpanani, J. Norbury:
Mathematics of complex systems.
{\em Brit.\ J. Cancer} {76} (suppl.\ 1): 10 (1997).
\item
\me: Mathematical modelling of cancer invasion and metastasis.
{\em Clin.\ Exp.\ Metastasis} {15}, 63-65 (1997).
\item
M.R. Owen, \me:
The macrophage invasion of tumours:
effects on growth, composition, and spatial structure.
{\em Clin.\ Exp.\ Metastasis} {15}, 66 (1997).
\item
A.J. Perumpanani, \me, J. Norbury:
Modelling matrix degradation during tumour invasion.
{\em Clin.\ Exp.\ Metastasis} {15}, 69 (1997).
\item
\me, J.C. Dallon, T. H\"{o}fer, P.K. Maini:
Mathematical modelling of signalling in {\em Dictyostelium discoideum}.
In: {\em Microbial signalling and communication},
ed.\ R.R. England, G. Hobbs, N.J. Bainton, D. McL. Roberts,
Cambridge University Press, pp.~241-254 (1999).
\item
\me, M.R. Owen, A.J. Perumpanani:
Pattern formation in cancer.
In: {\em On growth and form: spatio-temporal patterning in biology},
ed.\ M.A.J. Chaplain, G.D. Singh, J. McLachlan, John Wiley \& Son,
pp.~47-74 (1999).
\item
S.D. Webb, \me, R.G. Fish: Modelling Tumour Acidity and Invasion. In:
{\em The tumour microenvironment: causes and consequences of hypoxia and
acidity}, Novartis Foundation, London, John Wiley \& Son, pp.~169-185 (2001).
\item
N. Monk, \me, M.R. Owen:
Spatiotemporal patterning in models of juxtacrine intercellular
signalling with feedback.
In: {\em Mathematical models for biological pattern formation},
ed. P.K. Maini, H.G. Othmer, Springer-Verlag, pp.~165-192 (2000).
\item
\me: Predictive mathematical modelling in metastasis.
In: {\em Metastasis methods and protocols}, ed.\ S. Brookes,
Humana Press, pp.~309-316 (2001).
\item
\me:
Healing by numbers: mathematics meets medicine.
{\em The Biologist} {48}, 254-258 (2001).
\item
P.K. Maini, J.C. Dallon, \me:
A multiscale model for collagen alignment in wound healing.
{\em J. Physiol.} {561}P, SA11 [abstract] 186 (2005).
\item
\me, M.J. Smith, J.D.M. Rademacher:
Spatiotemporal dynamics in ecology: insights from physics.
In: {\em XVIth International Congress on Mathematical Physics},
ed.\ P. Exner, World Scientific, pp.~651-655 (2010).
\item
\me:
Turing patterns in deserts.
In: {\it How the World Computes}, ed.\ S.B. Cooper, A. Dawar, B. L\"{o}we,
Lecture Notes in Computer Science~7318, Springer, New York,
pp.~667-674 (2012).
\end{enumerate}
\end{document}