Recent Publications

1. C. Parra-Rojas, J. D. Challenger, D. Fanelli and A. J. McKane, Intrinsic noise and two-dimensional maps: quasi-cycles, quasiperiodicity and chaos. Phys. Rev. E90, 032135 (2014).

2. G. Rozhnova, A. Nunes and A. J. McKane, Impact of commuting on disease persistence in heterogeneous metapopulations. Ecol. Complexity 19, 124-129 (2014). Supplementary Material.

3. G. W. A. Constable and A. J. McKane, Population genetics on islands connected by an arbitrary network: An analytic approach.J. Theor. Biol. 358, 149-165 (2014).

4. J. D. Challenger, D. Fanelli and A. J. McKane, The theory of individual based discrete-time processes. J. Stat. Phys. 156, 131-155 (2014).

5. A. J. McKane, T. Biancalani and T. Rogers, Stochastic pattern formation and spontaneous polarisation: the linear noise approximation and beyond. Bull. Math. Biol. 76, 895-921 (2014).

6. G. W. A. Constable and A. J. McKane, Fast-mode elimination in stochastic metapopulation models. Phys. Rev. E89, 032141 (2014).

7. A. G. Rossberg, T. Rogers and A. J. McKane, Current noise-removal methods can create false signals in ecogenomic data. Proc. Roy. Soc. B281, 20140191 (2014).

8. T. Biancalani, L. Dyson and A. J. McKane, Noise-induced bistable states and their mean switching time in foraging colonies. Phys. Rev. Lett. 112, 038101 (2014).

9. J. D. Challenger, D. Fanelli and A. J. McKane, Intrinsic noise and discrete-time processes. Phys. Rev. E88, 040102(R) (2013).

10. M. Asllani, T. Biancalani, D. Fanelli and A. J. McKane, The linear noise approximation for reaction-diffusion systems on networks. Eur. Phys. J. B86, 476 (2013).

11. J. Realpe Gomez, M. Baudena, T. Galla, A. J. McKane and M. Rietkerk, Demographic noise and resilience in a semi-arid ecosystem model. Ecol. Complexity 15, 97-108 (2013).

12. A. G. Rossberg, T. Rogers and A. J. McKane, Are there species smaller than 1 mm? Proc. Roy. Soc. B280, 20131248 (2013). Supplementary Material.

13. D. Fanelli, A. J. McKane, G. Pompili, B. Tiribilli, M. Vassalli and T. Biancalani, Diffusion of two molecular species in a crowded environment: theory and experiments. Phys. Biol. 10, 045008 (2013).

14. J. D. Challenger and A. J. McKane, Synchronization of stochastic oscillators in biochemical systems. Phys. Rev. E88, 012107 (2013).

15. G. W. A. Constable, A. J. McKane and T. Rogers, Stochastic dynamics on slow manifolds. J. Phys. A46, 295002 (2013).

16. J. D. Challenger, A. J. McKane and J. Pahle, Multi-compartment linear noise approximation. J. Stat. Mech., P11010 (2012).

17. T. Rogers, A. J. McKane and A. G. Rossberg, Spontaneous genetic clustering in populations of competing organisms. Phys. Biol. 9, 066002 (2012).

18. G. J. Baxter, R. A. Blythe and A. J. McKane, Fast fixation with a generic network structure. Phys. Rev. E86, 031142 (2012).

19. A. J. Black and A. J. McKane, Stochastic formulation of ecological models and their applications. Trends Ecol. Evol. 27, 337-345 (2012).

20. T. Biancalani, T. Rogers and A. J. McKane, Noise-induced metastability in biochemical networks. Phys. Rev. E86, 010106(R) (2012).

21. J. Realpe Gomez, T. Galla and A. J. McKane, Demographic noise and piecewise deterministic Markov processes. Phys. Rev. E86, 011137 (2012).

22. B. J. Z. Quigley, D. Garcia Lopez, A. Buckling, A. J. McKane and S. P. Brown, The mode of host-parasite interaction shapes coevolutionary dynamics and the fate of host cooperation. Proc. Roy. Soc. B279, 3742-3748 (2012). Supplementary Material.

23. J. Pahle, J. D. Challenger, P. Mendes and A. J. McKane, Biochemical fluctuations, optimisation and the linear noise approximation. BMC Systems Biology 6, 86 (2012). Supplementary Material.

24. G. Rozhnova, A. Nunes and A. J. McKane, Phase lag in epidemics on a network of cities. Phys. Rev. E85, 051912 (2012).

25. T. Rogers and A. J. McKane, Jamming and pattern formation in models of segregation. Phys. Rev. E85, 041136 (2012).

26. T. Rogers, A. J. McKane and A. G. Rossberg, Demographic noise can lead to the spontaneous formation of species. Europhys. Lett. 97, 40008 (2012).

27. A. J. Black and A. J. McKane, WKB calculation of an epidemic outbreak distribution. Jour. Stat. Mech.: Theory and Experiment, P12006:1-17 (2011).

28. G. Rozhnova, A. Nunes and A. J. McKane, Stochastic oscillations in models of epidemics on a network of cities. Phys. Rev. E84, 051919 (2011).

29. T. Biancalani, T. Galla and A. J. McKane, Stochastic waves in a Brusselator model with nonlocal interaction. Phys. Rev. E84, 026201 (2011).

30. T. Rogers and A. J. McKane, A unified framework for Schelling's model of segregation. Jour. Stat. Mech.: Theory and Experiment, P07006:1-17 (2011).

31. R. G. Morris and A. J. McKane, Stability of growing vesicles. Phys. Rev. E83, 061151 (2011).

32. A. J. Black and A. J. McKane, Stochastic amplification in an epidemic model with seasonal forcing. J. Theor. Biol. 267, 85-94 (2010).

33. R. G. Morris, D. Fanelli and A. J. McKane, Dynamical description of vesicle growth and shape change. Phys. Rev. E82, 031125 (2010).

34. D. Fanelli and A. J. McKane, Diffusion in a crowded environment. Phys. Rev. E82, 021113 (2010).

35. A. J. Bladon, T. Galla and A. J. McKane, Evolutionary dynamics, intrinsic noise and cycles of cooperation. Phys. Rev. E81, 066122 (2010).

36. A. J. Black and A. J. McKane, Stochasticity in staged models of epidemics: quantifying the dynamics of whooping cough. J. R. Soc. Interface 7, 1219-1227 (2010).

37. P. de Anna, F. Di Patti, D. Fanelli, A. J. McKane and T. Dauxois, A spatial model of autocatalytic reactions. Phys. Rev. E81, 056110 (2010).

38. A. J. Black, A. J. McKane, A. Nunes and A. Parisi, Stochastic fluctuations in the susceptible-infective-recovered model with distributed infectious periods. Phys. Rev. E80, 021922 (2009).

39. C. R. Powell and A. J. McKane, Comparison of food webs constructed by evolution and by immigration. Ecol. Complexity 6, 316-327 (2009).

40. D. Fanelli and A. J. McKane, Reply to `Comment on `Thermodynamics of vesicle growth and instability' '. Phys. Rev. E80, 013402 (2009).

41. A. J. McKane, Stochastic Processes. Encyclopedia of Complexity and System Science, R. A. Meyers (ed) (Springer, New York, 2009). pp 8766-8783.

42. G. J. Baxter, R. A. Blythe, W. Croft and A. J. McKane, Modeling language change: An evaluation of Trudgill's theory of the emergence of New Zealand English. Language Variation and Change 21, 257-296 (2009). Supplementary Material.

43. R. P. Boland, T. Galla and A. J. McKane, Limit cycles, complex Floquet multipliers, and intrinsic noise. Phys. Rev. E79, 051131 (2009).

44. T. Dauxois, F. Di Patti, D. Fanelli and A. J. McKane, Enhanced stochastic oscillations in autocatalytic reactions. Phys. Rev. E79, 036112 (2009).

45. G. J. Baxter, R. A. Blythe and A. J. McKane, Fixation and consensus times on a network: a unified approach. Phys. Rev. Lett. 101, 258701 (2008).

46. D. Fanelli and A. J. McKane, Thermodynamics of vesicle growth and instability. Phys. Rev. E78, 051406 (2008).

47. C. A. Lugo and A. J. McKane, Quasi-cycles in a spatial predator-prey model. Phys. Rev. E78, 051911 (2008).

48. C. R. Powell and A. J. McKane, Predicting the species abundance distribution using a model food web. Jour. Theor. Biol. 255, 387-395 (2008).

49. R. P. Boland, T. Galla and A. J. McKane, How limit cycles and quasi-cycles are related in systems with intrinsic noise. Jour. Stat. Mech.: Theory and Experiment, P09001:1-27 (2008).

50. H. M. Lewis, R. Law and A. J. McKane, Abundance-body size relationships: the roles of metabolism and population dynamics. J. Anim. Ecol. 77, 1056-1062 (2008).

51. C. A. Lugo and A. J. McKane, The characteristics of species in an evolutionary food web model. Jour. Theor. Biol. 252, 649-661 (2008).

52. C. A. Lugo and A. J. McKane, The robustness of the Webworld model to changes in structure. Ecol. Complexity 5, 106-120 (2008).

53. W. E. Harris, A. J. McKane and J. B. Wolf, The maintenance of heritable variation through social competition. Evolution 62, 337-347 (2008).

54. R. S. Etienne, D. Alonso and A. J. McKane, The zero-sum assumption in neutral biodiversity theory. Jour. Theor. Biol. 248, 522-536 (2007).

55. A. J. McKane and D. Waxman, Singular solutions of the diffusion equation of population genetics. Jour. Theor. Biol. 247, 849-858 (2007).

56. R. A. Blythe and A. J. McKane, Stochastic models of evolution in genetics, ecology and linguistics. Jour. Stat. Mech.: Theory and Experiment, P07018:1-58 (2007).

57. D. Alonso, R. S. Etienne and A. J. McKane, Neutrality and environmental fluctuations. Trends Ecol. Evol. 22, 232-232 (2007).

58. G. Baxter, R. A. Blythe and A. J. McKane, Exact solution of the multi-allelic diffusion model. Math. Biosci. 209, 124-170 (2007).

59. D. Alonso, A. J. McKane and M. Pascual, Stochastic amplification in epidemics. J. R. Soc. Interface 4, 575-582 (2007). Supplementary Material.

60. A. J. McKane, J. D. Nagy, T. J. Newman and M. O. Stefanini, Amplified biochemical oscillations in cellular systems. J. Stat. Phys. 128, 165-191 (2007).

61. A. J. McKane, F. Vazquez and M. A. Olivares-Robles, On the fluctuation-dissipation theorem for convective processes. J. Non-Equilb. Thermodyn. 32, 29-40 (2007).

62. A. J. McKane and B. Drossel, Models of food web evolution, in Ecological Networks, M. Pascual and J. A. Dunne (eds) (Oxford University Press, Oxford, 2006), pp 223-243.

63. D. Alonso, R. S. Etienne and A. J. McKane, The merits of neutral theory. Trends Ecol. Evol. 21, 451-457 (2006).

64. G. J. Baxter, R. A. Blythe, W. Croft and A. J. McKane, Utterance selection model of language change. Phys. Rev. E73, 046118 (2006).

65. J. Antonovics, A. J. McKane and T. J. Newman, Spatio-temporal fluctuations at population margins. Am. Nat. 167, 16-27 (2006).

66. A. J. McKane and B. Drossel, Modelling evolving food webs, in Dynamic Food Webs, P. C. de Ruiter, V. Wolters and J. C. Moore (eds) (Elsevier, Amsterdam, 2005), pp 74-88.

67. C. Quince, P. G. Higgs and A. J. McKane, Topological structure and interaction strengths in model food webs. Ecol. Model. 187, 389-412 (2005).

68. A. J. McKane and T. J. Newman, Predator-prey cycles from resonant amplification of demographic stochasticity. Phys. Rev. Lett. 94, 218102 (2005).

69. C. Quince, P. G. Higgs and A. J. McKane, Deleting species from model food webs. Oikos 110, 283-296 (2005).

70. M. O. Stefanini, A. J. McKane and T. J. Newman, Single enzyme pathways and substrate fluctuations. Nonlinearity 18, 1575-1595 (2005).

71. G. Baxter, A. J. McKane and M. B. Tarlie, Quantifying stochastic outcomes. Phys. Rev. E71, 011106 (2005).

72. A. J. McKane and F. Vazquez, Path-integrals and fluctuations in irreversible thermodynamics. Phys. Rev. E70, 046135 (2004).

73. A. J. McKane and T. J. Newman, Stochastic models in population biology and their deterministic analogs. Phys. Rev. E70, 041902 (2004).

74. D. Alonso and A. J. McKane, Sampling Hubbell's neutral theory of biodiversity. Ecol. Lett. 7, 901-910 (2004).

75. K. Kirsten and A. J. McKane, Functional determinants in the presence of zero modes, in Quantum Field Theory under the Influence of External Conditions, K. A. Milton (ed), (Rinton Press, Princeton, 2004), pp 146-151.

76. B. Drossel, A. J. McKane and C. Quince, The impact of nonlinear functional responses on the long-term evolution of food web structure. J. Theor. Biol. 229, 539-548 (2004).

77. A. J. McKane, Evolving complex food webs. Eur. Phys. J. B38, 287-295 (2004).

78. A. J. McKane and M. B. Tarlie, Optimal paths and the calculation of state selection probabilities. Phys. Rev. E69, 041106 (2004).

79. K. Kirsten and A. J. McKane, Functional determinants for general Sturm-Liouville problems. J. Phys. A37, 4649-4670 (2004).

80. E. L. Berlow, A-M Neutel, J. E. Cohen, P. De Ruiter, B. Ebenman, M. Emmerson, J. W. Fox, V. A. A. Jansen, J. I. Jones, G. D. Kokkoris, D. O. Logofet, A. J. McKane, J. M. Montoya and O. Petchey, Interaction strengths in food webs: issues and opportunities, J. Anim. Ecol. 73, 585-598 (2004).

81. A. J. McKane, D. Alonso and R. Sole, Analytic solution of Hubbell's model of local community dynamics. Theor. Popul. Biol. 65, 67-73 (2004).

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