Jonathan A. Sherratt, Department of Mathematics, HeriotWatt University
Papers and Preprints
The following is a complete list of my refereed publications,
separated into
papers in peerreviewed journals and
papers in conference
proceedings, book chapters, etc.
Papers in PeerReviewed Journals
In Press:

A. Bianchi, K.J. Painter, J.A. Sherratt:
Spatiotemporal models of lymphangiogenesis in wound healing.
Bull. Math. Biol. in press.
Click to see the paper
2016:

J.A. Sherratt, J.J. Mackenzie:
How does tidal flow affect pattern formation in mussel beds?
J. Theor. Biol 406, 8392 (2016).
Click to see the paper

J.A. Sherratt: When does colonisation of a semiarid
hillslope generate vegetation patterns?
J. Math. Biol. 73, 199226 (2016).
Click to see the paper

J.A. Sherratt: Invasion generates periodic travelling waves (wavetrains)
in predatorprey models with nonlocal dispersal.
SIAM J. Appl. Math. 76, 293313 (2016).
Click to see the paper
2015:

K.J. Painter, J.M. Bloomfield, J.A. Sherratt, A. Gerisch:
A nonlocal model for contact attraction and repulsion in heterogeneous
cell populations.
Bull. Math. Biol. 77, 11321165 (2015).
Click to see the paper

C.A. Cobbold, F. Lutscher, J.A. Sherratt:
Diffusiondriven instabilities and emerging spatial patterns in patchy
landscapes.
Ecological Complexity 24, 6981 (2015).
Click to see the paper

A. Bianchi, K.J. Painter, J.A. Sherratt:
A mathematical model for lymphangiogenesis in normal and diabetic
wounds.
J. Theor. Biol. 383, 6186 (2015).
Click to see the paper

J.A. Sherratt:
Using wavelength and slope to infer the historical origin of semiarid
vegetation bands.
PNAS USA 112, 42024207 (2015).
Click to see the paper
or
click to see the paper on PNAS Online.

R.A. Taylor, A. White, J.A. Sherratt:
Seasonal forcing in a hostmacroparasite system.
J. Theor. Biol.. 365, 5566 (2015).
Click to see the paper
2014:

J.A. Sherratt:
Periodic travelling waves in
integrodifferential equations
for nonlocal dispersal.
SIAM J. Appl. Dyn. Systems
13 15171541 (2014).
Click to see the paper

A.S. Dagbovie, J.A. Sherratt:
Pattern selection and hysteresis in the
Rietkerk model for banded vegetation in semiarid environments.
J. R. Soc. Interface 11: 20140465 (2014).
Click to see the paper

A.S. Dagbovie, J.A. Sherratt:
Absolute stability and dynamical stabilisation in predatorprey
systems.
J. Math. Biol. 68: 14031421 (2014).
Click to see the paper

J.A. Sherratt, A.S. Dagbovie, F.M. Hilker:
A mathematical biologist's guide to
absolute and convective instability.
Bull. Math. Biol. 76: 126 (2014).
Click to see the paper
2013:

R.A. Taylor, J.A. Sherratt, A. White:
Seasonal forcing and multiyear cycles in interacting populations:
lessons from a predatorprey model.
J. Math. Biol. 67: 17411764 (2013).
Click to see the paper

J.J.H. Reynolds, J.A. Sherratt, A. White, X. Lambin:
A comparison of the dynamical impact of
seasonal mechanisms in a herbivoreplant defence system.
Theor. Ecol. 6: 225239 (2013).
Click to see the paper

J.J.R. Reynolds, J.A. Sherratt, A. White:
Stability switches as the length of a time
delay increases in a hostpathogen model.
J. Nonlinear Sci. 23: 10731087 (2013).
Click to see the paper

J.A. Sherratt, Yu. Brezhnev:
On the mean values of the Weierstrass elliptic function P.
Physica D 263: 8698 (2013).
Click to see the paper

J.A. Sherratt:
Pattern solutions of the Klausmeier model for banded vegetation
in semiarid environments V: the transition from patterns to desert.
SIAM J. Appl. Math. 73: 13471367 (2013).
Click to see the paper
.
This paper was selected as the basis for a "research nugget" on the
SIAM web page;
click
here to go to see this research nugget.
The paper also formed the basis for an article in Bionieuws, a Dutch
magazine for biologists;
click here to see this article (in Dutch).

J.A. Sherratt:
Numerical continuation of boundaries in parameter space between
stable and unstable periodic travelling wave (wavetrain) solutions of
partial differential equations.
Adv. Comput. Math. 39 175192 (2013).
Click to see the paper

J.A. Sherratt:
Historydependent patterns of whole ecosystems.
Ecological Complexity 14: 820 (2013).
Click to see the paper

J.A. Sherratt:
Generation of periodic travelling waves in cyclic populations by
hostile boundaries.
Proc. R. Soc. Lond. A 469: 20120756 (2013).
Click to see the paper
and
click here to see the supplementary material.

J.A. Sherratt:
Pattern solutions of the Klausmeier model for banded vegetation
semiarid environments IV:
slowly moving patterns and their stability.
SIAM J. Appl. Math. 73: 330350 (2013).
Click to see the paper

R.A. Taylor, A. White, J.A. Sherratt:
The impact of variations in seasonality on
population cycles.
Proc. R. Soc. Lond. B280: 20122714 (2013).
Click to see the paper
and
click here to see the
online supplement

J.A. Sherratt: Pattern solutions of the Klausmeier model for banded
vegetation in semiarid environments III:
the transition between homoclinic solutions.
Physica D 242: 3041 (2013).
Click to see the paper
2012:

J.J.H. Reynolds, F.P. Massey, X. Lambin, S. Reidinger,
J.A. Sherratt, M.J. Smith, A. White, S.E. Hartley:
Delayed induced silica defences in grasses and their potential for
destabilising herbivore population dynamics.
Oecologia 170: 445456 (2012).
Click to see the paper

J.A. Sherratt, M.J. Smith:
Transition to spatiotemporal chaos via stationary branching shocks and
holes. Physica D 241: 16711679 (2012).
Click to see the paper

J.A. Sherratt, A.D. Synodinos:
Vegetation patterns and desertification waves in semiarid
environments: mathematical models based on local facilitation in
plants. Discrete Cont. Dyn. Syst. B 17: 28152827
(2012).
Click to see the paper

J.A. Sherratt:
Numerical continuation methods for
studying periodic travelling wave
(wavetrain) solutions of partial
differential equations.
Appl. Math. Comp.
218: 46844694 (2012).
Click to see the paper
2011:

J.A. Sherratt: Pattern solutions of the Klausmeier model for banded
vegetation in semiarid environments II: patterns with the largest
possible propagation speeds. Proc. R. Soc. Lond. A
467: 32723294 (2011).
Click to see the paper

J.J.H. Reynolds, A. White, J.A. Sherratt, M. Boots:
The population dynamical consequences of densitydependent
prophylaxis. J. Theor. Biol. 288: 18 (2011).
Click to see the paper

J.M. Bloomfield, K.J. Painter, J.A. Sherratt:
How does cellular contact affect differentiation
mediated pattern formation?
Bull. Math. Biol. 73: 15291558 (2011).
Click to see the paper
2010:

J.M. Bloomfield, J.A. Sherratt, K.J. Painter, G. Landini:
Cellular automata and integrodifferential equation models for cell
renewal in mosaic tissues.
J. R. Soc. Interface 7: 15251535 (2010).
Click to see the paper

J.A. Sherratt: Pattern solutions of the Klausmeier model for banded
vegetation in semiarid environments I.
Nonlinearity 23: 26572675 (2010).
Click to see the paper

J.A. Sherratt:
On the form of smoothfront travelling waves in a reactiondiffusion
equation with degenerate nonlinear diffusion.
Math. Model. Nat. Phenom. 5: 6378 (2010).
Click to see the paper

J.A. Sherratt, M.J. Smith, J.D.M. Rademacher:
Patterns of sources and sinks in the complex GinzburgLandau equation
with zero linear dispersion.
SIAM J. Appl. Dyn. Systems 9: 883918 (2010).
Click to see the paper

K.J. Painter, N.J. Armstrong, J.A. Sherratt:
The impact of adhesion on cellular invasion processes in cancer and
development. J. Theor. Biol. 264: 10571067 (2010).
Click to see the paper
2009:

M.J. Smith, J.A. Sherratt:
Propagating fronts in the complex GinzburgLandau equation
generate fixedwidth bands of plane waves.
Phys. Rev. E 80 art. no. 046209 (2009).
Click to see the paper

M.J. Smith, J.D.M. Rademacher, J.A. Sherratt:
Absolute stability of wavetrains can explain spatiotemporal dynamics
in reactiondiffusion systems of lambdaomega type.
SIAM J. Appl. Dyn. Systems 8: 11361159 (2009).
Click to see the paper

J.A. Sherratt, M.J. Smith, J.D.M. Rademacher:
Locating the transition from periodic oscillations to
spatiotemporal chaos in the wake of invasion.
Proc. Natl. Acad. Sci. USA
106: 1089010895 (2009).
Click to see the paper

S.S. Bell, A. White, J.A. Sherratt, M. Boots:
Invading with biological weapons: the role of shared disease
in ecological invasion.
Theoretical Ecology 2: 5366 (2009).
Click to see the paper

J.A. Sherratt, N.J. Armstrong, S.A. Gourley, K.J. Painter:
Boundedness of Solutions of a nonlocal reactiondiffusion model for
adhesion in cell aggregation and cancer invasion.
Eur. J. Appl. Math. 20: 123144 (2009).
Click to see the paper

N.J. Armstrong, K.J. Painter, J.A. Sherratt:
Adding adhesion to the cell cycle model for somite formation.
Bull. Math. Biol. 71: 124 (2009).
Click to see the paper
2008:

J.A. Sherratt:
A comparison of periodic travelling wave generation by
Robin and Dirichlet boundary conditions in oscillatory
reactiondiffusion equations.
IMA J. Appl. Math 73: 759781 (2008).
Click to see the paper

M.J. Smith, J.A. Sherratt, X. Lambin:
The effects of densitydependent dispersal on the
spatiotemporal dynamics of cyclic populations.
J. Theor. Biol. 254: 264274 (2008).
Click to see the paper
The software tool mentioned in the paper is available
here.

J.A. Sherratt, M.J. Smith:
Periodic travelling waves in cyclic populations: field studies and
reactiondiffusion models.
J. R. Soc. Interface 5, 483505 (2008).
(A review paper).
Click to see the paper.
The supplementary online material can be
seen by clicking here.

M.J. Smith, A. White, J.A. Sherratt, S. Telfer, M. Begon,
X. Lambin:
Disease effects on reproduction can cause population
cycles in seasonal environments.
J. Animal Ecol. 77, 378389 (2008).
Click to see the paper
The supplementary online material can be
seen by clicking here.

M.J. Smith, J.A. Sherratt, N.J. Armstrong:
The effects of obstacle size on periodic travelling waves in
oscillatory reactiondiffusion equations.
Proc. R. Soc. Lond A 464, 365390 (2008).
Click to see the paper
2007:

M.J. Smith, J.A. Sherratt:
The effects of unequal
diffusion coefficients on periodic travelling waves in
oscillatory reactiondiffusion systems.
Physica D 236, 90103 (2007).
Click to see the paper

H.V. Waugh, J.A. Sherratt:
Modelling the effects of treating diabetic wounds with
engineered skin substitutes.
Wound Repair and Regeneration 15, 556565 (2007).
Click to see the paper

J.A. Sherratt, G.J. Lord:
Nonlinear dynamics and pattern bifurcations in a model for vegetation
stripes in semiarid environments.
Theor. Pop. Biol 71, 111 (2007).
Click to see the paper
2006:

N.J. Armstrong, K. Painter, J.A. Sherratt:
A continuum approach to modelling cellcell adhesion.
J. Theor. Biol. 243, 98113 (2006).
Click to see the paper

S. McDougall, J. Dallon, J.A. Sherratt, P. Maini:
Fibroblast migration and collagen deposition during dermal wound
healing: mathematical modelling and clinical implications.
Phil. Trans. R. Soc. Lond. A 364, 13851405 (2006)
Click to see the paper

M. Smith, A. White, X. Lambin, J.A. Sherratt, M. Begon:
Delayed density dependent season length: a mechanism for multiannual
rodent population cycles?
Am. Nat. 167, 695704 (2006)
Click to see the paper

H.V. Waugh, J.A. Sherratt:
Macrophage dynamics in diabetic wound healing.
Bull. Math. Biol. 68, 197207 (2006)
Click to see the paper
2005:

J.A. Sherratt:
An analysis of vegetation stripe formation in semiarid landscapes.
J. Math. Biol. 51, 183197 (2005)
Click to see the paper
2004:

S. Turner, J.A. Sherratt, D. Cameron:
Tamoxifen treatment failure in cancer and the nonlinear dynamics of
TGFbeta.
J. Theor. Biol. 229, 101111 (2004)
Click to see the paper

S. Turner, J.A. Sherratt, K.J. Painter, N.J. Savill:
From a discrete to a continuous model of biological cell movement.
Phys. Rev. E 69 art. no. 021910 (2004).
Click to see the paper

S.D. Webb, J.A. Sherratt:
Oscillatory reactiondiffusion equations with temporally varying
parameters.
Math. Comp. Modelling 39, 4560 (2004).
Click to see the paper
2003:

J.A. Sherratt, X. Lambin, T.N. Sherratt:
The effects of the size and shape of landscape features on the
formation of travelling waves in cyclic populations.
Am. Nat. 162, 503513 (2003).
Click to see the paper
and in a separate file, the
online appendices

K.J. Painter, J.A. Sherratt:
Modelling the movement of interacting cell populations.
J. Theor. Biol. 225, 327339 (2003).
Click to see the paper

S.D. Webb, J.A. Sherratt:
A perturbation problem arising from the modelling of soluble Fas
ligand in tumour immunology.
Math. Comp. Modelling 37, 323331 (2003).
Click to see the paper

J.A. Sherratt:
Periodic travelling wave selection by
Dirichlet boundary conditions in
oscillatory reactiondiffusion systems.
SIAM J. Appl. Math. 63, 15201538 (2003).
Click to see the paper

N. Savill, J.A. Sherratt:
The control of epidermal stem cell clusters by Notch mediated
lateral induction.
Dev. Biol. 258, 141153 (2003).
Click to see the paper
2002:

S.R. McDougall, A.R.A. Anderson, M.A.J. Chaplain,
J.A. Sherratt:
Mathematical modelling of flow through vascular networks: implications
for tumourinduced angiogenesis and chemotherapy strategies.
Bull. Math. Biol. 64, 673702 (2002).
Click to see the paper

S.D. Webb, J.A. Sherratt, R.G. Fish:
Cells behaving badly: a theoretical model for the FAS/FASL system
in tumour immunology. Math. Biosci. 179, 113129 (2002).
Click to see the paper

J.A. Sherratt, J.C. Dallon:
Theoretical models of wound healing: past successes and future
challenges.
Comptes Rendues Biologies 325, 557564 (2002).
(A review paper).
Click to see the paper

J.A. Sherratt, R. Weller, N.J. Savill:
Modelling blood flow regulation by nitric oxide in psoriatic plaques.
Bull. Math. Biol. 64, 623641 (2002).
Click to see the paper

S. Turner, J.A. Sherratt:
Intercellular adhesion and cancer invasion: a discrete simulation
using the extended Potts model.
J. Theor. Biol. 216, 85100 (2002).
Click to see the paper

N.J. Savill, R. Weller, J.A. Sherratt:
Mathematical modelling of nitric oxide regulation of rete peg
formation in psoriasis.
J. Theor. Biol. 214, 116 (2002).
Click to see the paper

P.K. Maini, J.A. Sherratt, L. Olsen:
Mathematical models for cellmatrix interactions during dermal wound
healing. Int. J. Bif. Chaos 12, 20212029 (2002).
(A review paper).
Click to see the paper

J.A. Sherratt, X. Lambin, C.J. Thomas, T.N. Sherratt:
Generation of periodic waves by landscape features in cyclic
predatorprey systems.
Proc. R. Soc. Lond. B 269, 327334 (2002).
Click to see the paper

C.A. Cobbold, J.A. Sherratt, S.R.J. Maxwell:
Lipoprotein oxidation and its significance for atherosclerosis: a
mathematical approach.
Bull. Math. Biol. 64, 6596 (2002).
Click to see the paper
2001:

H.J. Wearing, J.A. Sherratt:
Nonlinear analysis of juxtacrine patterns.
SIAM J. Appl. Math. 62, 283309 (2001).
Click to see the paper

B.P. Marchant, J. Norbury, J.A. Sherratt:
Travelling wave solutions to a haptotaxisdominated model of malignant
invasion.
Nonlinearity 14, 16531671 (2001).
Click to see the paper

A.L. Kay, J.A. Sherratt, J.B.McLeod:
Comparison theorems and variable speed waves for a scalar
reactiondiffusion equation.
Proc. R. Soc. Ed. 131A, 11331161 (2001).
Click to see the paper

J.C. Dallon, J.A. Sherratt, P.K. Maini:
Modeling the effects of TGFbeta on extracellular matrix alignment in
dermal wound repair.
Wound Repair Regen. 9 278286 (2001).
Click to see the paper

J.A. Sherratt, M.A.J. Chaplain:
A new mathematical model for avascular tumour growth.
J. Math. Biol. 43, 291312 (2001).
Click to see the paper

J.A. Sherratt:
Periodic travelling waves in cyclic predatorprey systems.
Ecol. Lett. 4 3037 (2001).
Click to see the paper
2000:

J. Dallon, J.A. Sherratt, P.K. Maini, M.W.J. Ferguson:
Biological implications of a discrete mathematical
model for collagen deposition and alignment
in wound repair.
IMA J. Math. Appl. Med. Biol.
17 379393 (2000).
Click to see the paper

A.L. Kay, J.A. Sherratt:
Spatial noise stabilizes periodic wave patterns
in oscillatory systems on finite domains.
SIAM J. Appl. Math. 61 10131041 (2000).
Click to see the paper

J. Dallon, J.A. Sherratt:
A mathematical model for spatially varying extracellular matrix alignment.
SIAM J. Appl. Math. 61 506527 (2000).
Click to see the paper

J.A. Sherratt:
Wave front propagation in a competition equation with a new motility
term modelling contact inhibition between cell populations.
Proc. R. Soc. Lond. A 456 23652386 (2000).
Click to see the paper

C.A. Cobbold, J.A. Sherratt:
Mathematical modelling of nitric oxide activity in wound healing can
explain keloid and hypertrophic scarring.
J. Theor. Biol. 204 257288 (2000).
Click to see the paper

H.J. Wearing, J.A. Sherratt:
Keratinocyte growth factor signalling: a mathematical model of
dermalepidermal interaction in epidermal wound healing.
Math. Biosci. 165 4162 (2000).
Click to see the paper

J.A. Sherratt:
Travelling wave solutions of a mathematical model for tumour
encapsulation.
SIAM J. Appl. Math. 60: 392407 (2000).
Click to see the paper

H.J. Wearing, M.R. Owen, J.A. Sherratt:
Mathematical modelling of juxtacrine patterning.
Bull. Math. Biol. 62: 293320 (2000).
Click to see the paper

M.R. Owen, J.A. Sherratt, H.J. Wearing:
Lateral induction by juxtacrine signalling is a new mechanism for
pattern formation.
Dev. Biol. 217: 5461 (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: 397407 (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: 199216 (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: 449471 (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: 513539 (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: 145170 (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: 1540 (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: 145159 (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: 579585 (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: 237250 (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: 23472352 (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: 172192 (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: 381417 (1998).
Click to see the paper

M.R. Owen, J.A. Sherratt:
Mathematical modelling of juxtacrine cell signalling.
Math. Biosci. 153: 125150 (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: 145166 (1998).
Click to see the paper

J.A. Sherratt: On the transition from initial data
to travelling waves in the FisherKPP equation.
Dyn. Stab. Sys. 13: 167174 (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: 165185 (1998).
Click to see the paper

J. Dallon, J.A. Sherratt:
A mathematical model for fibroblast and collagen orientation.
Bull. Math. Biol. 60: 101130 (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: 113129 (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: 261282 (1997).
Click to see the paper

M.R. Owen, J.A. Sherratt:
Pattern formation and spatiotemporal irregularity in a
model for macrophagetumour interaction.
J. Theor. Biol. 189: 6380 (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: 15991614 (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: 10771100 (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: 1323 (1997).
(A review paper).
Click to see the paper

J.A. Sherratt, B.T. Eagan, M.A. Lewis:
Oscillations and chaos behind predatorprey invasion: mathematical
artifact or ecological reality? Phil. Trans. R. Soc. B
352: 2138 (1997).
Click to see the paper

J.A. Sherratt: A comparison of two numerical methods for oscillatory reactiondiffusion equations.
Appl. Math. Lett. 10(2): 15 (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: 7394 (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: 209221 (1996).
Click to see the paper

J.A. Sherratt: Oscillatory and chaotic wakes behind moving boundaries in
reactiondiffusion systems.
Dynam. Stab. Systems 11: 303325 (1996).
Click to see the paper

J.A. Sherratt, B.P. Marchant:
Nonsharp travelling wave fronts in the Fisher equation with
degenerate nonlinear diffusion.
Appl. Math. Lett. 9(5): 3338 (1996).
Click to see the paper

J.A. Sherratt: Periodic travelling waves in a family of deterministic
cellular automata. Physica D 95: 319335 (1996).
Click to see the paper

L. Olsen, J.A. Sherratt, P.K. Maini:
A mathematical model for fibroproliferative wound healing disorders.
Bull. Math. Biol. 58: 787808 (1996).
Click to see the paper

J.A. Sherratt, B.P. Marchant:
Algebraic decay and variable speeds in wave front solutions of
a scalar reactiondiffusion equation.
IMA J. Appl. Math. 56: 289302 (1996).
Click to see the paper

J.A. Sherratt: Periodic waves in reactiondiffusion models
of oscillatory biological systems.
FORMA 11: 6180 (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: 653660 (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: 113128 (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: 7795 (1995).
Click to see the paper

A.J. Perumpanani, J.A. Sherratt, P.K. Maini:
Phase differences in reactiondiffusionadvection systems and applications
to morphognesis. IMA J. Appl. Math. 55: 1933 (1995).
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T. Hofer, J.A. Sherratt, P.K. Maini:
Cellular pattern formation in a model of Dictyostelium
aggregation. Physica D 85: 425444 (1995).
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J.A. Sherratt: Diffusion driven instability in oscillating environments.
Eur. J. Appl. Math. 6: 355372 (1995).
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P.D. Dale, L. Olsen, P.K. Maini, J.A. Sherratt:
Travelling waves in wound healing.
FORMA 10: 205222 (1995).
(A review paper).
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J.A. Sherratt, M.A. Lewis, A.C. Fowler:
Ecological chaos in the wake of invasion.
Proc. Natl. Acad. Sci. USA 92: 25242528 (1995).
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J.A. Sherratt: Unstable wavetrains and chaotic wakes in reactiondiffusion
systems of lambdaomega type.
Physica D 82: 165179 (1995).
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T. Hofer, J.A. Sherratt, P.K. Maini:
Dictyostelium discoideum: cellular selforganisation in an
excitable biological medium.
Proc. R. Soc. Lond. B 259: 249257 (1995).
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J.A. Sherratt: Turing bifurcations with a temporally varying diffusion
coefficient. J. Math. Biol. 33: 295308 (1995).
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1994:

P.D. Dale, P.K. Maini, J.A. Sherratt: Mathematical modelling of corneal
epithelial wound healing. Math. Biosci. 124:
127147 (1994). WINNER OF THE SIXTH BELLMAN PRIZE.
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J.A. Sherratt: On the evolution of periodic plane waves in reactiondiffusion
equations of lambdaomega type.
SIAM J. Appl. Math. 54: 13741385 (1994).
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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: 15 (1994).
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J.A. Sherratt: On the speed of amplitude transition waves in
reaction diffusion equations of lambdaomega type.
IMA J. Appl. Math. 52: 7992 (1994).
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J.A. Sherratt:
Irregular wakes in reactiondiffusion waves.
Physica D 70: 370382 (1994).
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P.D. Dale, J.A. Sherratt, P.K. Maini: On the speed of corneal
epithelial wound healing. Appl. Math. Lett. 7: 1114 (1994).
Click to see the paper

J.A. Sherratt: Chemotaxis and chemokinesis in eukaryotic cells:
the KellerSegel equations as an approximation to a detailed model.
Bull. Math. Biol. 56: 129146 (1994).
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1993:

J.A. Sherratt: Transition waves that
leave behind regular or irregular spatiotemporal
oscillations in a system of three reactiondiffusion equations.
Int. J. Bifurc. Chaos 3: 12691279 (1993).
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J.A. Sherratt: The amplitude of periodic plane waves depends on initial
conditions in a variety of lambdaomega systems.
Nonlinearity 6: 10551066 (1993).
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D.L. Benson, P.K. Maini, J.A. Sherratt:
Analysis of pattern formation in reactiondiffusion models with
spatially inhomogeneous diffusion coefficients.
Math. Comp. Modelling 17: 2934 (1993).
Click to see the paper

J.A. Sherratt: Cellular growth control and travelling waves of cancer.
SIAM J. Appl. Math. 53: 17131730 (1993).
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J.A. Sherratt: Actin aggregation and embryonic epidermal wound healing.
J. Math. Biol. 31: 703716 (1993).
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J.A. Sherratt, E.H. Sage, J.D. Murray:
Chemical control of eukaryotic cell movement: a new model.
J. Theor. Biol. 162: 2340 (1993).
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J.A. Sherratt, J. Lewis: Stressinduced alignment of actin
filaments and the
mechanics of cytogel.
Bull. Math. Biol. 55: 637654 (1993).
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D.L. Benson, J.A. Sherratt, P.K. Maini:
Diffusion driven instability in an inhomogeneous domain.
Bull. Math. Biol. 55: 365384 (1993).
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1992:

J.A. Sherratt, J.D. Murray:
Epidermal wound healing: a theoretical approach.
Comments Theor. Biol. 2: 315333 (1992).
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P.K. Maini, D.L. Benson, J.A. Sherratt: Pattern formation in reactiondiffusion
models with spatially inhomogeneous diffusion coefficients.
IMA J. Math. Appl. Med. Biol. 9: 197213 (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: 177196 (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: 365371 (1992).
Click to see the paper

J.A. Sherratt, M.A. Nowak:
Oncogenes, antioncogenes and the immune response to cancer.
Proc. R. Soc. Lond. B 248: 261271 (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: 147162 (1991)
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J.A. Sherratt, J.D. Murray:
Mathematical analysis of a basic model for epidermal wound healing.
J. Math. Biol. 29: 389404 (1991).
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1990:

J.A. Sherratt, J.D. Murray:
Models of epidermal wound healing.
Proc. R. Soc. Lond. B 241: 2936 (1990).
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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. 667674 (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. 651655 (2010).
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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. 169185
(2001).
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J.A. Sherratt:
Healing by numbers: mathematics meets medicine.
The Biologist 48, 254258 (2001).
(An article intended for a biological audience).
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J.A. Sherratt:
Predictive mathematical modelling in metastasis.
In: "Metastasis Methods and Protocols", ed. S. Brooks,
Humana Press, pp. 309316 (2001).
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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, SpringerVerlag, pp. 165192 (2000).
Click to see the paper

J.A. Sherratt, A.J. Perumpanani, M.R. Owen:
Pattern formation in cancer.
In: "On Growth and Form: SpatioTemporal Pattern Formation in Biology",
ed. M.A.J. Chaplain, G.D. Singh, J.C. McLachlan,
Wiley, pp. 4773 (1999).
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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. 241254 (1999).
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J.A. Sherratt:
Mathematical modelling of cancer invasion and metastasis.
Clin. Exp. Metastasis 15: 6365 (1997).
(A workshop report that preceeds abstracts of the presentations).
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