Papers and Preprints

Papers in Peer-Reviewed Journals

2023:

168. L. Eigentler, J.A. Sherratt: Long-range seed dispersal stabilises almost stationary patterns in a model for dryland vegetation. J. Math. Biol. 86, 15 (2023). Click to see the paper

167. T. Vignal, M. Baudena, A.G. Mayor, J.A. Sherratt: Impact of different destocking strategies on the resilience of dry rangelands. Ecol. Evol. 13, e10102 (2023). Click to see the paper

     2021:

166. J.A. Sherratt, Q.-X. Liu, J. van de Koppel: A comparison of the ``reduced losses'' and ``increased production'' models for mussel bed dynamics. Bull. Math. Biol. 83, 99 (2021). Click to see the paper

     2020:

165. L. Eigentler, J.A. Sherratt: Effects of precipitation intermittency on vegetation patterns in semi-arid landscapes. Physica D 405, 132396 (2020). Click to see the paper

164. L. Eigentler, J.A. Sherratt: Spatial self-organisation enables species coexistence in a model for savanna ecosystems J. Theor. Biol. 487, 110122 (2020). Click to see the paper

163. L. Eigentler, J.A. Sherratt: An integrodifference model for vegetation patterns in semi-arid environments with seasonality. J. Math. Biol. 81, 875-904 (2020). Click to see the paper

     2019:

162. L. Eigentler, J.A. Sherratt: Metastability as a coexistence mechanism in a model for dryland vegetation patterns. Bull. Math. Biol. 81, 2290-2322 (2019). Click to see the paper

161. J.J.R. Bennett, J.A. Sherratt: Large scale patterns in mussel beds: stripes or spots? J. Math. Biol. 78, 815-835 (2019). Click to see the paper

160. J.J.R. Bennett, J.A. Sherratt: Long-distance seed dispersal affects the resilience of banded vegetation patterns in semi-deserts. J. Theor. Biol. 481, 151-161 (2019). Click to see the paper

159. J.J.R. Bennett, J.A. Sherratt: How do dispersal rates affect the transition from periodic to irregular spatio-temporal oscillations in invasive predator-prey systems? Appl. Math. Lett. 94, 80-86 (2019). Click to see the paper

     2018:

158. L. Eigentler, J.A. Sherratt: Analysis of a model for banded vegetation in semi-arid environments with nonlocal dispersal. J. Math. Biol. 77, 739-763 (2018). Click to see the paper

157. J.A. Sherratt: How does nonlocal dispersal affect the selection and stability of periodic travelling waves? SIAM J. Appl. Math. 78, 3087-3012 (2018). Click to see the paper

     2017:

156. J.J.R. Bennett, J.A. Sherratt: Periodic traveling waves generated by invasion in cyclic predator-prey systems: the effect of unequal dispersal. SIAM J. Appl. Math. 77, 2136-2155 (2017). Click to see the paper

     2016:

155. J.A. Sherratt: Using numerical bifurcation analysis to study pattern formation in mussel beds. Math. Modelling Nat. Phenom. 11, 86-102 (2016). Click to see the paper

154. A. Bianchi, K.J. Painter, J.A. Sherratt: Spatio-temporal models of lymphangiogenesis in wound healing. Bull. Math. Biol. 78, 1904-1941 (2016). Click to see the paper

153. 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

152. 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

151. 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:

150. 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

149. 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

148. 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

147. 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.

146. 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:

145. 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

144. 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

143. 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

142. 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:

141. 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

140. 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

139. 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

138. 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

137. 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).

136. 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

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

134. 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.

133. 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

132. 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

131. 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:

130. 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

129. 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

128. 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

127. 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:

126. 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

125. 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

124. 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:

123. 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

122. 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

121. 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

120. 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

119. 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:

118. 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

117. 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

116. 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

115. 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

114. 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

113. 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:

112. 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

111. 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.

110. 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.

109. 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.

108. 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:

107. 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

106. 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

105. 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:

104. 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

103. 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

102. 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

101. 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:

100. 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:

99. 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

98. 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

97. 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:

96. 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

95. 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

94. 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

93. 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

92. 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:

91. 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

90. 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

89. 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

88. 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

87. 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

86. 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

85. 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

84. 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

83. 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:

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

81. 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

80. 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

79. 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

78. 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

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

    2000:

76. 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

75. 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

74. 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

73. 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

72. 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

71. 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

70. 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

69. 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

68. 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:

67. 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

66. 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

65. 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

64. 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

63. 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

62. 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

61. 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

60. 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

59. 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:

58. 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

57. 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

56. 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

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

54. 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

53. 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

52. 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

51. 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

50. 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:

49. 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

48. 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

47. 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

46. 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

45. 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

44. 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

43. 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

42. 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:

41. 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

40. 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

39. 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

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

37. 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

36. 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

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

34. 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:

33. 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

32. 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

31. 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

30. 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

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

28. 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

27. 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

26. 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

25. 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

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

    1994:

23. 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

22. 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

21. 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

20. 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

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

18. 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

17. 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:

16. 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

15. 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

14. 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

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

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

11. 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

10. 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

9. 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:

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

7. 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

6. 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

5. 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

4. 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:

3. 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

2. 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:

1. 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

9. 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

8. 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

7. 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

6. 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

4. 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

3. 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

2. 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

1. 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