Jonathan A. Sherratt, Department of Mathematics, Heriot-Watt University

Papers and Preprints

The following is a complete list of my refereed publications, separated into papers in peer-reviewed journals and papers in conference proceedings, book chapters, etc.


Papers in Peer-Reviewed Journals

    In Press:

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

    2016:

  2. J.A. Sherratt, J.J. Mackenzie: How does tidal flow affect pattern formation in mussel beds? J. Theor. Biol 406, 83-92 (2016). Click to see the paper

  3. J.A. Sherratt: When does colonisation of a semi-arid hillslope generate vegetation patterns? J. Math. Biol. 73, 199-226 (2016). Click to see the paper

  4. J.A. Sherratt: Invasion generates periodic travelling waves (wavetrains) in predator-prey models with nonlocal dispersal. SIAM J. Appl. Math. 76, 293-313 (2016). Click to see the paper

    2015:

  5. 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, 1132-1165 (2015). Click to see the paper

  6. C.A. Cobbold, F. Lutscher, J.A. Sherratt: Diffusion-driven instabilities and emerging spatial patterns in patchy landscapes. Ecological Complexity 24, 69-81 (2015). Click to see the paper

  7. A. Bianchi, K.J. Painter, J.A. Sherratt: A mathematical model for lymphangiogenesis in normal and diabetic wounds. J. Theor. Biol. 383, 61-86 (2015). Click to see the paper

  8. J.A. Sherratt: Using wavelength and slope to infer the historical origin of semi-arid vegetation bands. PNAS USA 112, 4202-4207 (2015). Click to see the paper or click to see the paper on PNAS Online.

  9. R.A. Taylor, A. White, J.A. Sherratt: Seasonal forcing in a host-macroparasite system. J. Theor. Biol.. 365, 55-66 (2015). Click to see the paper

    2014:

  10. J.A. Sherratt: Periodic travelling waves in integrodifferential equations for nonlocal dispersal. SIAM J. Appl. Dyn. Systems 13 1517-1541 (2014). Click to see the paper

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

  12. A.S. Dagbovie, J.A. Sherratt: Absolute stability and dynamical stabilisation in predator-prey systems. J. Math. Biol. 68: 1403-1421 (2014). Click to see the paper

  13. J.A. Sherratt, A.S. Dagbovie, F.M. Hilker: A mathematical biologist's guide to absolute and convective instability. Bull. Math. Biol. 76: 1-26 (2014). Click to see the paper

    2013:

  14. R.A. Taylor, J.A. Sherratt, A. White: Seasonal forcing and multi-year cycles in interacting populations: lessons from a predator-prey model. J. Math. Biol. 67: 1741-1764 (2013). Click to see the paper

  15. J.J.H. Reynolds, J.A. Sherratt, A. White, X. Lambin: A comparison of the dynamical impact of seasonal mechanisms in a herbivore-plant defence system. Theor. Ecol. 6: 225-239 (2013). Click to see the paper

  16. J.J.R. Reynolds, J.A. Sherratt, A. White: Stability switches as the length of a time delay increases in a host-pathogen model. J. Nonlinear Sci. 23: 1073-1087 (2013). Click to see the paper

  17. J.A. Sherratt, Yu. Brezhnev: On the mean values of the Weierstrass elliptic function P. Physica D 263: 86-98 (2013). Click to see the paper

  18. J.A. Sherratt: Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments V: the transition from patterns to desert. SIAM J. Appl. Math. 73: 1347-1367 (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).

  19. 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. 39 175-192 (2013). Click to see the paper

  20. J.A. Sherratt: History-dependent patterns of whole ecosystems. Ecological Complexity 14: 8-20 (2013). Click to see the paper

  21. 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.

  22. J.A. Sherratt: Pattern solutions of the Klausmeier model for banded vegetation semi-arid environments IV: slowly moving patterns and their stability. SIAM J. Appl. Math. 73: 330-350 (2013). Click to see the paper

  23. 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

  24. J.A. Sherratt: Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments III: the transition between homoclinic solutions. Physica D 242: 30-41 (2013). Click to see the paper

    2012:

  25. 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: 445-456 (2012). Click to see the paper

  26. J.A. Sherratt, M.J. Smith: Transition to spatiotemporal chaos via stationary branching shocks and holes. Physica D 241: 1671-1679 (2012). Click to see the paper

  27. J.A. Sherratt, A.D. Synodinos: Vegetation patterns and desertification waves in semi-arid environments: mathematical models based on local facilitation in plants. Discrete Cont. Dyn. Syst. B 17: 2815-2827 (2012). Click to see the paper

  28. J.A. Sherratt: Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations. Appl. Math. Comp. 218: 4684-4694 (2012). Click to see the paper

    2011:

  29. J.A. Sherratt: Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments II: patterns with the largest possible propagation speeds. Proc. R. Soc. Lond. A 467: 3272-3294 (2011). Click to see the paper

  30. J.J.H. Reynolds, A. White, J.A. Sherratt, M. Boots: The population dynamical consequences of density-dependent prophylaxis. J. Theor. Biol. 288: 1-8 (2011). Click to see the paper

  31. J.M. Bloomfield, K.J. Painter, J.A. Sherratt: How does cellular contact affect differentiation mediated pattern formation? Bull. Math. Biol. 73: 1529-1558 (2011). Click to see the paper

    2010:

  32. 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: 1525-1535 (2010). Click to see the paper

  33. J.A. Sherratt: Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments I. Nonlinearity 23: 2657-2675 (2010). Click to see the paper

  34. J.A. Sherratt: On the form of smooth-front travelling waves in a reaction-diffusion equation with degenerate nonlinear diffusion. Math. Model. Nat. Phenom. 5: 63-78 (2010). Click to see the paper

  35. J.A. Sherratt, M.J. Smith, J.D.M. Rademacher: Patterns of sources and sinks in the complex Ginzburg-Landau equation with zero linear dispersion. SIAM J. Appl. Dyn. Systems 9: 883-918 (2010). Click to see the paper

  36. 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: 1057-1067 (2010). Click to see the paper

    2009:

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

  38. M.J. Smith, J.D.M. Rademacher, J.A. Sherratt: Absolute stability of wavetrains can explain spatiotemporal dynamics in reaction-diffusion systems of lambda-omega type. SIAM J. Appl. Dyn. Systems 8: 1136-1159 (2009). Click to see the paper

  39. 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: 10890-10895 (2009). Click to see the paper

  40. 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: 53-66 (2009). Click to see the paper

  41. J.A. Sherratt, N.J. Armstrong, S.A. Gourley, K.J. Painter: Boundedness of Solutions of a nonlocal reaction-diffusion model for adhesion in cell aggregation and cancer invasion. Eur. J. Appl. Math. 20: 123-144 (2009). Click to see the paper

  42. N.J. Armstrong, K.J. Painter, J.A. Sherratt: Adding adhesion to the cell cycle model for somite formation. Bull. Math. Biol. 71: 1-24 (2009). Click to see the paper

    2008:

  43. J.A. Sherratt: A comparison of periodic travelling wave generation by Robin and Dirichlet boundary conditions in oscillatory reaction-diffusion equations. IMA J. Appl. Math 73: 759-781 (2008). Click to see the paper

  44. M.J. Smith, J.A. Sherratt, X. Lambin: The effects of density-dependent dispersal on the spatiotemporal dynamics of cyclic populations. J. Theor. Biol. 254: 264-274 (2008). Click to see the paper The software tool mentioned in the paper is available here.

  45. J.A. Sherratt, M.J. Smith: Periodic travelling waves in cyclic populations: field studies and reaction-diffusion models. J. R. Soc. Interface 5, 483-505 (2008). (A review paper). Click to see the paper. The supplementary online material can be seen by clicking here.

  46. 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, 378-389 (2008). Click to see the paper The supplementary online material can be seen by clicking here.

  47. M.J. Smith, J.A. Sherratt, N.J. Armstrong: The effects of obstacle size on periodic travelling waves in oscillatory reaction-diffusion equations. Proc. R. Soc. Lond A 464, 365-390 (2008). Click to see the paper

    2007:

  48. M.J. Smith, J.A. Sherratt: The effects of unequal diffusion coefficients on periodic travelling waves in oscillatory reaction-diffusion systems. Physica D 236, 90-103 (2007). Click to see the paper

  49. H.V. Waugh, J.A. Sherratt: Modelling the effects of treating diabetic wounds with engineered skin substitutes. Wound Repair and Regeneration 15, 556-565 (2007). Click to see the paper

  50. J.A. Sherratt, G.J. Lord: Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments. Theor. Pop. Biol 71, 1-11 (2007). Click to see the paper

    2006:

  51. N.J. Armstrong, K. Painter, J.A. Sherratt: A continuum approach to modelling cell-cell adhesion. J. Theor. Biol. 243, 98-113 (2006). Click to see the paper

  52. 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, 1385-1405 (2006) Click to see the paper

  53. 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, 695-704 (2006) Click to see the paper

  54. H.V. Waugh, J.A. Sherratt: Macrophage dynamics in diabetic wound healing. Bull. Math. Biol. 68, 197-207 (2006) Click to see the paper

    2005:

  55. J.A. Sherratt: An analysis of vegetation stripe formation in semi-arid landscapes. J. Math. Biol. 51, 183-197 (2005) Click to see the paper

    2004:

  56. S. Turner, J.A. Sherratt, D. Cameron: Tamoxifen treatment failure in cancer and the nonlinear dynamics of TGF-beta. J. Theor. Biol. 229, 101-111 (2004) Click to see the paper

  57. 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

  58. S.D. Webb, J.A. Sherratt: Oscillatory reaction-diffusion equations with temporally varying parameters. Math. Comp. Modelling 39, 45-60 (2004). Click to see the paper

    2003:

  59. 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, 503-513 (2003). Click to see the paper and in a separate file, the online appendices

  60. K.J. Painter, J.A. Sherratt: Modelling the movement of interacting cell populations. J. Theor. Biol. 225, 327-339 (2003). Click to see the paper

  61. S.D. Webb, J.A. Sherratt: A perturbation problem arising from the modelling of soluble Fas ligand in tumour immunology. Math. Comp. Modelling 37, 323-331 (2003). Click to see the paper

  62. J.A. Sherratt: Periodic travelling wave selection by Dirichlet boundary conditions in oscillatory reaction-diffusion systems. SIAM J. Appl. Math. 63, 1520-1538 (2003). Click to see the paper

  63. N. Savill, J.A. Sherratt: The control of epidermal stem cell clusters by Notch mediated lateral induction. Dev. Biol. 258, 141-153 (2003). Click to see the paper

    2002:

  64. S.R. McDougall, A.R.A. Anderson, M.A.J. Chaplain, J.A. Sherratt: Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies. Bull. Math. Biol. 64, 673-702 (2002). Click to see the paper

  65. S.D. Webb, J.A. Sherratt, R.G. Fish: Cells behaving badly: a theoretical model for the FAS/FAS-L system in tumour immunology. Math. Biosci. 179, 113-129 (2002). Click to see the paper

  66. J.A. Sherratt, J.C. Dallon: Theoretical models of wound healing: past successes and future challenges. Comptes Rendues Biologies 325, 557-564 (2002). (A review paper). Click to see the paper

  67. J.A. Sherratt, R. Weller, N.J. Savill: Modelling blood flow regulation by nitric oxide in psoriatic plaques. Bull. Math. Biol. 64, 623-641 (2002). Click to see the paper

  68. S. Turner, J.A. Sherratt: Intercellular adhesion and cancer invasion: a discrete simulation using the extended Potts model. J. Theor. Biol. 216, 85-100 (2002). Click to see the paper

  69. N.J. Savill, R. Weller, J.A. Sherratt: Mathematical modelling of nitric oxide regulation of rete peg formation in psoriasis. J. Theor. Biol. 214, 1-16 (2002). Click to see the paper

  70. P.K. Maini, J.A. Sherratt, L. Olsen: Mathematical models for cell-matrix interactions during dermal wound healing. Int. J. Bif. Chaos 12, 2021-2029 (2002). (A review paper). Click to see the paper

  71. J.A. Sherratt, X. Lambin, C.J. Thomas, T.N. Sherratt: Generation of periodic waves by landscape features in cyclic predator-prey systems. Proc. R. Soc. Lond. B 269, 327-334 (2002). Click to see the paper

  72. C.A. Cobbold, J.A. Sherratt, S.R.J. Maxwell: Lipoprotein oxidation and its significance for atherosclerosis: a mathematical approach. Bull. Math. Biol. 64, 65-96 (2002). Click to see the paper

    2001:

  73. H.J. Wearing, J.A. Sherratt: Nonlinear analysis of juxtacrine patterns. SIAM J. Appl. Math. 62, 283-309 (2001). Click to see the paper

  74. B.P. Marchant, J. Norbury, J.A. Sherratt: Travelling wave solutions to a haptotaxis-dominated model of malignant invasion. Nonlinearity 14, 1653-1671 (2001). Click to see the paper

  75. A.L. Kay, J.A. Sherratt, J.B.McLeod: Comparison theorems and variable speed waves for a scalar reaction-diffusion equation. Proc. R. Soc. Ed. 131A, 1133-1161 (2001). Click to see the paper

  76. J.C. Dallon, J.A. Sherratt, P.K. Maini: Modeling the effects of TGF-beta on extracellular matrix alignment in dermal wound repair. Wound Repair Regen. 9 278-286 (2001). Click to see the paper

  77. J.A. Sherratt, M.A.J. Chaplain: A new mathematical model for avascular tumour growth. J. Math. Biol. 43, 291-312 (2001). Click to see the paper

  78. J.A. Sherratt: Periodic travelling waves in cyclic predator-prey systems. Ecol. Lett. 4 30-37 (2001). Click to see the paper

    2000:

  79. 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. 17 379-393 (2000). Click to see the paper

  80. A.L. Kay, J.A. Sherratt: Spatial noise stabilizes periodic wave patterns in oscillatory systems on finite domains. SIAM J. Appl. Math. 61 1013-1041 (2000). Click to see the paper

  81. J. Dallon, J.A. Sherratt: A mathematical model for spatially varying extracellular matrix alignment. SIAM J. Appl. Math. 61 506-527 (2000). Click to see the paper

  82. 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 2365-2386 (2000). Click to see the paper

  83. C.A. Cobbold, J.A. Sherratt: Mathematical modelling of nitric oxide activity in wound healing can explain keloid and hypertrophic scarring. J. Theor. Biol. 204 257-288 (2000). Click to see the paper

  84. H.J. Wearing, J.A. Sherratt: Keratinocyte growth factor signalling: a mathematical model of dermal-epidermal interaction in epidermal wound healing. Math. Biosci. 165 41-62 (2000). Click to see the paper

  85. J.A. Sherratt: Travelling wave solutions of a mathematical model for tumour encapsulation. SIAM J. Appl. Math. 60: 392-407 (2000). Click to see the paper

  86. H.J. Wearing, M.R. Owen, J.A. Sherratt: Mathematical modelling of juxtacrine patterning. Bull. Math. Biol. 62: 293-320 (2000). Click to see the paper

  87. 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:

  88. 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

  89. 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

  90. 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

  91. 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

  92. 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

  93. 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

  94. 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

  95. 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

  96. 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:

  97. 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

  98. 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

  99. 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

  100. M.R. Owen, J.A. Sherratt: Mathematical modelling of juxtacrine cell signalling. Math. Biosci. 153: 125-150 (1998). Click to see the paper

  101. 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

  102. 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

  103. 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

  104. 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

  105. 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:

  106. 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

  107. 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

  108. 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

  109. 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

  110. 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

  111. 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

  112. 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

  113. 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:

  114. 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

  115. 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

  116. 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

  117. J.A. Sherratt: Periodic travelling waves in a family of deterministic cellular automata. Physica D 95: 319-335 (1996). Click to see the paper

  118. 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

  119. 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

  120. J.A. Sherratt: Periodic waves in reaction-diffusion models of oscillatory biological systems. FORMA 11: 61-80 (1996). Click to see the paper

  121. 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:

  122. 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

  123. 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

  124. 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

  125. 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

  126. J.A. Sherratt: Diffusion driven instability in oscillating environments. Eur. J. Appl. Math. 6: 355-372 (1995). Click to see the paper

  127. 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

  128. 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

  129. 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

  130. 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

  131. J.A. Sherratt: Turing bifurcations with a temporally varying diffusion coefficient. J. Math. Biol. 33: 295-308 (1995). Click to see the paper

    1994:

  132. 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

  133. 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

  134. 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

  135. 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

  136. J.A. Sherratt: Irregular wakes in reaction-diffusion waves. Physica D 70: 370-382 (1994). Click to see the paper

  137. 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

  138. 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:

  139. 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

  140. 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

  141. 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

  142. J.A. Sherratt: Cellular growth control and travelling waves of cancer. SIAM J. Appl. Math. 53: 1713-1730 (1993). Click to see the paper

  143. J.A. Sherratt: Actin aggregation and embryonic epidermal wound healing. J. Math. Biol. 31: 703-716 (1993). Click to see the paper

  144. 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

  145. 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

  146. 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:

  147. J.A. Sherratt, J.D. Murray: Epidermal wound healing: a theoretical approach. Comments Theor. Biol. 2: 315-333 (1992). Click to see the paper

  148. 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

  149. 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

  150. 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

  151. 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:

  152. 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

  153. 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:

  154. 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

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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


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