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  • Author = Gibson WG

1. Bennett MR, Farnell L, Gibson WG
Maxwell R Bennett, Leslie Farnell, William G Gibson: Quantitative relations between BOLD responses, cortical energetics and impulse firing across cortical depth, European Journal of Neuroscience, 54 (2021), 4230–4245.


2. Bennett MR, Farnell L, Gibson WG
M R Bennett, L Farnell and W G Gibson: Quantitative relations between transient BOLD responses, cortical energetics, and impulse firing in different cortical regions, Journal of Neurophysiology, 122 (2019), no. 3, 1226–1237.


3. Bennett MR, Farnell L, Gibson WG, Lagopoulos J
M.R.Bennett, L.Farnell, W.G.Gibson and J.Lagopoulos: A model of amygdala function following plastic changes at specific synapses during extinction, Neurobiology of Stress, 10 (2019), 13 pages.


4. Bennett MR, Farnell L, Gibson WG
M.R. Bennett, L. Farnell and W.G. Gibson: Quantitative relations between BOLD responses, cortical energetics, and impulse firing, Journal of Neurophysiology, 119 (2018), 979–989.


5. Bennett MR, Farnell L, Gibson WG, Lagopoulos J
Maxwell R Bennett, Les Farnell, William Gibson, Jim Lagopoulos: On the origins of the 'global signal' determined by functional magnetic resonance imaging in the resting state, Journal of Neural Engineering, 13 (2016), no. 1, 1–11.


6. Bennett MR, Farnell L, Gibson WG, Lagopoulos J
Maxwell R Bennett, Les Farnell, William G Gibson, Jim Lagopoulos: Cortical network models of firing rate in the resting and active states predict BOLD responses, PloS one, 10 (2015), no. 12, 15 pages.


7. Gibson WG
William Gibson: Metabotropic receptors dynamics, conductance models, Encylopedia of Computational Neuroscience, Springer, New York, (2015), 1694–1697. ISBN 978-1-4614-6674-1.


8. Bennett MR, Farnell L, Gibson WG, Lagopoulos J
M.R. Bennett, L.Farnell, W.G. Gibson, J. Lagopoulos: Cortical network models of impulse firing in the resting and active states predict cortical energetics, Proceedings of the National Academy of Sciences of the United States of America, 112 (2015), no. 13, 4134–4139.


9. Bennett MR, Farnell L, Gibson WG
Max R Bennett, Les Farnell, William G. Gibson: Fiber Pathway Pathology, Synapse Loss and Decline of Cortical Function in Schizophrenia, PLOS One, 8 (2013), no. 4, 12 pages (e60518).


10. Bennett MR, Farnell L, Gibson WG
M R Bennett, L Farnell, W G Gibson: A model of neuregulin control of NMDA receptors on synaptic spines, Bulletin of Mathematical Biology, 74 (2012), no. 3, 717–735. MR2889672


11. Bennett MR, Farnell L, Gibson WG
Max R Bennett, Les Farnell, William G Gibson: A Model of NMDA Receptor Control of F-actin Treadmilling in Synaptic Spines and Their Growth, Bulletin of Mathematical Biology, 73 (2011), 2109–2131.


12. Edwards JR, Gibson WG
J. R. Edwards and W.G. Gibson: A model for Ca2+ waves in networks of glial cells incorporating both intercellular and extracellular communication pathways, Journal of Theoretical Biology, 263 (2010), 45–58.


13. Bennett MR, Farnell L, Gibson WG
Max R Bennett, Les Farnell and William G Gibson: P2X_7 regenerative-loop potentiation of glutamate synaptic transmission by microglia and astrocytes, Journal of Theoretical Biology, 261 (2009), 1–16.


14. Bennett MR, Farnell L, Gibson WG
Max R. Bennett, Les Farnell, William G. Gibson: A quantitative model of cortical spreading depression due to purinergic and gap-junction transmission in astrocyte networks, Biohysical Journal, 95 (2008), 5648–5660.


15. Bennett MR, Farnell L, Gibson WG
M R Bennett, L Farnell and W G Gibson: Origins of the BOLD changes due to synaptic activity at astrocytes abutting arteriolar smooth muscle, Journal of Theoretical Biology, 252 (2008), 123–130.


16. Bennett MR, Buljan V, Farnell L, Gibson WG
Max R. Bennett, Vlado Buljan, Les Farnell, William G. Gibson: Purinergic junctional transmission and propagation of calcium waves in cultured spinal cord microglial networks, Purinergic Signalling, 4 (2008), 47–59.


17. Gibson WG, Farnell L, Bennett MR
William G. Gibson, Les Farnell, Max R. Bennett: A quantitative model of ATP-mediated calcium wave propagation in astrocyte networks, Mathematical Modeling of Biological Systems, Vol. 2, Modeling and Simulation in Science, Engineering and Technology, Birkhauser, Boston, (2008), 193–204. ISBN 978-0-8176-4555-7.


18. Bennett MR, Farnell L, Gibson WG
M.R. Bennett, L. Farnell, W.G. Gibson: Origins of blood volume change due to glutamatergic synaptic activity at astrocytes abutting on arteriolar smooth muscle cells, Journal of Theoretical Biology, 250 (2008), 172–185.


19. Gibson WG, Farnell L, Bennett MR
William G. Gibson, Les Farnell, Max R. Bennett: A computational model relating changes in cerebral blood volume to synaptic activity in neurons, Neurocomputing, 70 (2007), 1674–1679.


20. Bennett MR, Farnell L, Gibson WG, Dickens P
M.R. Bennett, L. Farnell, W.G. Gibson, P. Dickens: Mechanisms of calcium sequestration during facilitation at active zones of an amphibian neuromuscular junction, Journal of Theoretical Biology, 247 (2007), 230–241. MR2312128


21. Bennett MR, Buljan V, Farnell L, Gibson WG
Max R. Bennett, Vlado Buljan, Les Farnell, William G. Gibson: Purinergic junctional transmission and propagation of calcium waves in spinal cord astrocyte networks, Biophysical Journal, 91 (2006), 3560–3571.


22. Bennett MR, Farnell L, Gibson WG
M.R. Bennett, L. Farnell and W.G. Gibson: A quantitative model of purinergic junctional transmission of calcium waves in astrocyte networks, Biophysical Journal, 89 (2005), 2235–2250.


23. Farnell L, Gibson WG
L. Farnell, W.G. Gibson: Monte Carlo simulation of diffusion in a spatially nonhomogeneous medium: A biased random walk on an asymmetrical lattice, Journal of Computational Physics, 208 (2005), 253–265.


24. Lemon G, Brockhausen J, Li GH, Gibson WG, Bennett MR
G. Lemon, J. Brockhausen, G.-H. Li, W.G. Gibson and M.R. Bennett: Calcium mobilization and spontaneous transient outward current characteristics upon agonist activation of P2Y2 receptors in smooth muscle cells, Biophysical Journal, 88 (2005), 1507–1523.


25. Bennett MR, Farnell L, Gibson WG
M.R. Bennett, L. Farnell and W.G. Gibson: A quantitative description of the contraction of blood vessels following the release of noradrenaline from sympathetic varicosities, Journal of Theoretical Biology, 234 (2005), 107–122. MR2140464


26. Farnell L, Gibson WG
L. Farnell, W.G. Gibson: Monte Carlo simulation of diffusion in a spatially nonhomogeneous medium: correction to the Gaussian steplength, Journal of Computational Physics, 198 (2004), 65–79. MR2071389


27. Bennett MR, Farnell L, Gibson WG
M.R. Bennett, L. Farnell, W.G. Gibson: The facilitated probability of quantal secretion within an array of calcium channels of an active zone at the amphibian neuromuscular junction, Biophysical Journal, 86 (2004), 2674–2690.


28. Bennett MR, Farnell L, Gibson WG, Blair DH
M.R. Bennett, L. Farnell, W.G. Gibson, D. Blair: A quantitative description of the diffusion of noradrenaline in the media of blood vessels following its release from sympathetic varicosities, Journal of Theoretical Biology, 226 (2004), 359–372. MR2068827


29. Gibson WG, Lemon G, Bennett MR
W. Gibson, G. Lemon, M.R. Bennett: A mathematical model of intracellular calcium release following metabotropic receptor activation, European Journal of Biochemistry, Vol. 270, Supplement 1, FEBS Special Meeting on Signal Transduction, Richard Perham (ed.), Blackwell, Oxford, U.K., (2003), 63.


30. Lemon G, Gibson WG, Bennett MR
G. Lemon, W.G. Gibson, M.R. Bennett: Metabotropic receptor activation, desensitization and sequestration - I: modelling calcium and inositol 1,4,5-trisphosphate dynamics following receptor activation, Journal of Theoretical Biology, 223 (2003), 93–111. MR2069241


31. Lemon G, Gibson WG, Bennett MR
G. Lemon, W.G. Gibson, M.R. Bennett: Metabotropic receptor activation, desensitization and sequestration - II: modelling the dynamics of the pleckstrin homology domain, Journal of Theoretical Biology, 223 (2003), 113–129. MR2069242


32. Lemon G, Gibson WG, Bennett MR
Greg Lemon, William G. Gibson, Max R. Bennett: A model of inositol 1,4,5-trisphosphate and calcium dynamics in single cells following metabotropic receptor activation, Neurocomputing, 52 (2003), 271–276.


33. Henery R, Farnell L, Gibson WG, Bennett MR
R. Henery, L. Farnell, W.G. Gibson, M.R. Bennett: Potential fields in vascular smooth muscle generated by transmitter release from sympathetic varicosities, Journal of Theoretical Biology, 218 (2002), 531–548. MR2027548


34. Woodbury GA, van der Zwan R, Gibson WG
Greg A. Woodbury, Rick van der Zwan, William G. Gibson: Correlation model for joint development of refined retinotopic map and ocular dominance columns, Vision Research, 42 (2002), 2295–2310.


35. Lemon G, Gibson WG, Bennett MR
G. Lemon, W.G. Gibson, M.R. Bennett: A mathematical account of inositol 1,4,5-triphosphate and calcium signalling inside single cells, Proceedings of the Australian Neuroscience Society, 22nd Annual Meeting of the Australian Neuroscience Society, P. Pilowsky (ed.), Australian Neuroscience Society, Australia, (2002), 156.


36. van Kleff J, Gibson WG, Bennett MR
J. van Kleef, W.G. Gibson, M.R. Bennett: Non-equilibrium calcium dynamics: implications for calcium measurement with fluorescent indicators, Proceedings of the Australian Neuroscience Society, 22nd Annual Meeting of the Australian Neuroscience Society, P. Pilowsky (ed.), Austraian Neuroscience Society, Australia, (2002), 92.


37. Gibson WG, Farnell L, Bennett MR
W.G. Gibson, L. Farnell, M.R. Bennett: The facilitated probability of quantal secretion within an array of calcium channels of an active zone, Proceedings of the Australian Neuroscience Society, 22nd Annual Meeting of the Australian Neuroscience Society, P. Pilowsky (ed.), Australian Neuroscience Society, Australia, (2002), 84.


38. Woodbury GA, Gibson WG
G.A. Woodbury, W.G. Gibson: A mathematical model of cortical receptive-field enlargement following sensory lesioning, Proceedings of the Australian Neuroscience Society, 22nd Annual Meeting of the Australian Neuroscience Society, P. Pilowsky (ed.), Australian Neuroscience Society, Australia, (2002), 80.


39. Bennett MR, Gibson WG, Lemon G
M.R. Bennett, W.G. Gibson, G. Lemon: Neuronal cell death, nerve growth factor and neurotrophic models: 50 years on, Autonomic Neuroscience, 95 (2002), 1–23.


40. Kearns JL, Farnell L, Gibson WG, Lin YQ, Bennett MR
J. Kearns, L. Farnell, W.G. Gibson, Y.Q. Lin, M.R. Bennett: Quantal current fields around individual boutons in sympathetic ganglia, Journal of Theoretical Biology, 214 (2002), 135–146.


41. Gibson WG, Farnell L, Bennett MR
William G. Gibson, Les Farnell, Max R. Bennett: A Monte Carlo analysis of calcium dynamics and facilitation in nerve terminals, Neurocomputing, 38 (2001), 17–22.


42. Bennett MR, Farnell L, Gibson WG, Lin YQ, Blair DH
M.R. Bennett, L. Farnell, W.G. Gibson, Y.Q. Lin, D.H. Blair: Quantal and non-quantal current and potential fields around individual sympathetic varicosities on release of ATP, Biophysical Journal, 80 (2001), 1311–1328.


43. Woodbury GA, Gibson WG
Greg Woodbury, Bill Gibson: Correlation model for the development of the functional architecture of the visual system, ANZIAM 2001, ANZIAM 2001: The 37th Applied Mathematics Conference, J.P. Denier and E.O. Tuck (eds.), ANZIAM, Australia, (2001), 66. ISBN 0 7259 0869 6.


44. Gibson WG, Farnell L, Bennett MR
Bill Gibson, Les Farnell, Max Bennett: The use of Monte Carlo methods for studying the functioning of synaptic connections between neurons, ANZIAM 2001, ANZIAM 2001: The 37th Applied Mathematics Conference, J.P. Denier and E.O. Tuck (eds.), ANZIAM, Australia, (2001), 37. ISBN 0 7259 0869 6.


45. Lin YQ, Bennett MR, Farnell L, Gibson WG, Blair DH
Y.Q. Lin, M.R. Bennett, L. Farnell, W.G. Gibson, D.H. Blair: Quantal and non-quantal current and potential fields around individual sympathetic varicosities on release of ATP, Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society, Twentyfirst Annual Meeting, P. Pilowsky (ed.), Australian Neuroscience Society, Australia, (2001), 57.


46. Gibson WG, Henery R, Farnell L, Bennett MR
W.G. Gibson, R. Henery, L. Farnell, M.R. Bennett: Transmission to smooth muscle cells at intimal surface of blood vessels due to release of ATP from sympathetic varicosities, Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society, Twentyfirst Annual Meeting, P. Pilowsky (ed.), Australian Neuroscience Society, Australia, (2001), 110.


47. Gibson WG
W.G. Gibson: Small worlds, The Physicist, 37 (2000), 73. MR1653249


48. Bennett MR, Farnell L, Gibson WG
M.R. Bennett, L. Farnell, W.G. Gibson: The probability of quantal secretion within an array of calcium channels of an active zone, Biophysical Journal, 78 (2000), 2222–2240.


49. Bennett MR, Farnell L, Gibson WG
M.R. Bennett, L. Farnell, W.G. Gibson: The probability of quantal secretion near a single calcium channel of an active zone, Biophysical Journal, 78 (2000), 2201–2221.


50. Bennett MR, Farnell L, Gibson WG, Macleod GT, Dickens P
M.R. Bennett, L. Farnell, W.G. Gibson, G.T. Macleod, P. Dickens: Quantal potential fields around individual active zones of amphibian motor-nerve terminals, Biophysical Journal, 78 (2000), 1106–1118.


51. Macleod GT, Dickens P, Farnell L, Gibson WG, Bennett MR
G.T. Macleod, P. Dickens, L. Farnell, W. Gibson, M.R. Bennett: Quantal potential fields around individual active zones of amphibian motor-nerve terminals, Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society, Twentieth Annual Meeting, P. Pilowsky (ed.), Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society, Australia, (2000), 212.


52. Lin YQ, Farnell L, Gibson WG, Bennett MR
Y.Q. Lin, L. Farnell, W. Gibson, M.R. Bennett: Quantal potential fields around individual boutons in sympathetic ganglia, Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society, Twentieth Annual Meeting, P. Pilowsky (ed.), Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society, Australia, (2000), 159.


53. Bennett MR, Farnell L, Gibson WG, Lin YQ
M.R. Bennett, L. Farnell, W. Gibson, Y. Lin: Quantal current fields generated in the electrical syncytium of smooth muscle by the release of ATP from sympathetic varicosities, Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society, Twentieth Annual Meeting, P. Pilowsky (ed.), Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society, Australia, (2000), 93.


54. Macleod GT, Farnell L, Gibson WG, Bennett MR
G.T. Macleod, L. Farnell, W.G. Gibson and M.R. Bennett: Quantal secretion and nerve-terminal cable properties at neuromuscular junctions in an amphibian (bufo marinus), Journal of Neurophysiology, 81 (1999), 1135–1146.


55. Bennett MR, Farnell L, Gibson WG
M.R. Bennett, L. Farnell, W.G. Gibson: Cable analysis of a motor-nerve terminal branch in a volume conductor, Bulletin of Mathematical Biology, 61 (1999), 1–17.


56. Gibson WG, Farnell L, Bennett MR
W.G. Gibson, L. Farnell and M.R. Bennett: Quantal secretion at calcium domains of active zones: a Monte Carlo analysis, Proceeding of the Australian Neuroscience Society, Volume 10, Australian Neuroscience Society, Nineteenth Annual Meeting, P. Pilowsky (ed.), Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society, Australia, (1999), 138.


57. Gibson WG
W G Gibson: Matter matters, Australian and New Zealand Physicist, 35 (1998), 266.


58. Gibson WG, Bennett MR, Robinson J
William G. Gibson, Max R. Bennett and John Robinson: Modelling the evoked release of quanta at active zones: theoretical investigation of the secretosome hypothesis, Computational Neuroscience: Trends in Research, 1998, Sixth Annual Computational Neuroscience Conference, James M. Bower (ed.), Plenum Press, New York, (1998), 173–178. ISBN 0-306-45919-1.


59. Coop AD, Gibson WG, Bennett MR
A.D. Coop, W.G. Gibson and M.R. Bennett.: Spontaneous calcium transients in autonomic boutons and varicosities, Journal of Theoretical Biology, 195 (1998), 395–411.


60. Meffin H, Gibson WG
Meffin H, Gibson WG: Multistable behaviour in networks of integrate-and-fire neurons, 1997 International Conference on Neural Information Processing and Intelligent, 1997 International Conference on Neural Information Processing and Intelligent Information Systems, N Kasabov, R Kozma, K Ko, R O'Shea, G Coghill, T Gedeon (eds.), Progress in Connectionist-Based Information Series, Springer, (1998), 198–201.


61. Macleod GT, Khurana V, Gibson WG, Bennett MR
G.T. Macleod, V. Khurana, W.G. Gibson, M.R. Bennett: Probability of quantal secretion and the mobilization of vesicles at the active zones of endplates, Journal of Theoretical Biology, 191 (1998), 323–334.


62. Bennett MR, Farnell L, Gibson WG
M.R. Bennett, L. Farnell, and W.G. Gibson: On the origin of skewed distributions of spontaneous synaptic potentials in autonomic ganglia, Royal Society of London. Proceedings. Series B, 265 (1998), 271–277.


63. Gibson WG, Macleod GT, Farnell L, Bennett MR
W.G. Gibson, G.T. Macleod, L. Farnell, M.R. Bennett: Quantal secretion and nerve-terminal cable properties at neuromuscular junctions in an amphibian (Bufo marinus), Proceedings of the Australian Neuroscience Society, Volume 9, Australian Neuroscience Society, Eighteenth Annual Meeting, P. Pilowsky (ed.), Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society, Australia, (1998), 123.


64. Henery R, Gibson WG, Bennett MR
R. Henery, W.G. Gibson, M.R. Bennett: Quantal currents and potential in the three-dimensional anisotropic bidomain model of smooth muscle, Bulletin of Mathematical Biology, 59 (1997), 1047–1075.


65. Gibson WG, Robinson J, Bennett MR
W.G. Gibson, J. Robinson, M.R. Bennett: Modelling the evoked release of quanta at active zones, Abstracts of the Fourteenth International Australasian Winter Conference on Brain Research, Fourteenth International Australasian Winter Conference on Brain Research, S. Weinstein (ed.), International Journal of Neuroscience, Gordon and Breach, New York, (1997), 94.


66. Bennett MR, Gibson WG, Robinson J
M.R. Bennett, W.G. Gibson, J. Robinson: Probabilistic secretion of quanta and the synaptosecretosome hypothesis: evoked release at active zones of varicosities, boutons and endplates, Biophysical Journal, 73 (1997), 1815–1829.


67. Meffin H, Gibson WG
Hamish Meffin, William G. Gibson: Threshold setting and mean firing rates in networks of spiking integrate-and-fire neurons, Proceedings of the Eighth Australian Conference on Neural Networks (ACNN'97), The Eighth Australian Conference on Neural Networks (ACNN'97), Michael Dale (ed.), Australian Conference on Neural Networks, Telstra Research Laboratories, Melbourne, Australia, (1997), 45–49. ISBN 0 642 27163 1.


68. Bennett MR, Farnell L, Gibson WG, Lavidis NA
M.R. Bennett, L. Farnell, W.G. Gibson, N.A. Lavidis: Synaptic transmission at visualized sympathetic boutons: stochastic interaction between acetylcholine and its receptors, Biophysical Journal, 72 (1997), 1595–1606.


69. Kearns JL, Lin YQ, Gibson WG, Bennett MR
J.L. Kearns, Y.Q. Lin, W.G. Gibson, M.R. Bennett: Extracellular current flow and potential during synaptic transmission from a sympathetic bouton on a pelvic ganglion cell, Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society. Seventeenth Annual Meeting, P. Pilowsky (ed.), 8 Australian Neuroscience Society, Australia, (1997), 127.


70. Coop AD, Gibson WG, Bennett MR
A.D. Coop, W.G. Gibson, M.R. Bennett: Analysis of spontaneous hyperpolarizing currents in preganglionic nerve terminals of the parasympathetic neurones in avian ciliary ganglia, Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society. Seventeenth Annual Meeting, P. Pilowsky (ed.), 8 Australian Neuroscience Society, Australia, (1997), 126.


71. Gibson WG, Bennett MR, Robinson J
W.G. Gibson, M.R. Bennett, J. Robinson: Modelling the evoked release of quanta at active zones: theoretical investigation of the secretosome hypothesis, Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society. Seventeenth Annual Meeting, P. Pilowsky (ed.), 8 Australian Neuroscience Society, Australia, (1997), 123.


72. Gibson WG
W.G. Gibson: Modelling some aspects of synaptic function in neurons, ANZIAM'96 The 32nd Australasian Applied Mathematics Conference, The 32nd Australasian Applied Mathematics Conference, G. Wake (ed.), ANZIAM Conference Porceedings, Australian Mathematical Society: ANZIAM, New Zealand, (1996), (no pagination). ISBN 0725908696.


73. Henery R, Gibson WG, Bennett MR
Rowena Henery, W.G. Gibson, M.R. Bennett: Quantal currents and potential in the three-dimensional anisotropic bidomain of the vas deferens, Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society. Sixteenth Annual Meeting, P. Pilowsky (ed.), Australian Neuroscience Society, Adelaide, SA, Australia, (1996), 148.


74. Bennett MR, Farnell L, Gibson WG, Lavidis NA
M.R. Bennett, L. Farnell, W. Gibson, N.A. Lavidis: Synaptic transmission at visualized boutons on rat pelvic ganglion cells, Proceedings of the Australian Neuroscience Society, Australian Neuroscience Society. Sixteenth Annual Meeting, P. Pilowsky (ed.), Australian Neuroscience Society, Adelaide, SA, Australia, (1996), 86.


75. Gibson WG, Bennett MR, Farnell L
W.G. Gibson, M.R. Bennett, L. Farnell: Synaptic conductances for neural networks, ACNN96: Proceedings of the Seventh Australian Conference on Neural Networks, The Seventh Australian Conference on Neural Networks, P. Bartlett, A. Burkitt, R.C. Williamson (eds.), Australian National University, Canberra, ACT, Australia, (1996), 62–66. ISBN 0 7315 2429 2.


76. Gibson WG
W.G. Gibson: Review of Neural Networks: An Introduction (second edition), by Muller, Reinhardt and Strickland, 33 (1996), 83–84.


77. Bennett MR, Farnell L, Gibson WG
M.R. Bennett, L. Farnell, W.G. Gibson: Quantal transmitter release onto different patterns of receptor distributions at somatic neuromuscular junctions, Journal of Theoretical Biology, 183 (1996), 231–236.


78. Bennett MR, Farnell L, Gibson WG
M.R. Bennett, L. Farnell, W.G. Gibson: Quantal transmitter release at somatic motor-nerve terminals: stochastic analysis of the subunit hypothesis, Biophysical Journal, 70 (1996), 654–668.


79. Gibson WG, Bennett MR, Robinson J
Gibson WG, Bennett MR, Robinson J: Modeling the spontaneous release of quanta at active zones of varicosities, boutons and endplates, Computational Neuroscience. Trends in Research 1995, Fourth Annual Computational Neuroscience Meeting, JM Bower (ed.), Academic Press, (1996), 9–14.


80. Gibson WG, Bennett MR, Farnell L
Gibson WG, Bennett MR, Farnell L: Monte Carlo simulation of quantal transmission at purinergic junctions, Computational Neuroscience: Trends in Research 1995, Fourth Annual Computatinal Neuroscience Meeting, Monterey, CA, JM Bower (ed.), Academic Press, (1996), 15–20.


81. Thomas CM, Gibson WG, Robinson J
Thomas CM, Gibson WG, Robinson J: Stability and bifurcations in an associative memory model, Neural Networks, 9 (1996), 53–66.


82. Gibson WG, Bennett MR, Farnell L
Gibson WG, Bennett MR, Farnell L: Monte Carlo simulation of quantal transmission at purinergic junctions, Fourth Annual Computation Neuroscience Meeting, (1995), 32.


83. Gibson WG, Bennett MR, Robinson J
Gibson WG, Bennett MR, Robinson J: Modeling the spontaneous release of quanta at active zones of varicosities, boutons and endplates, Fourth Annual Computation Neuroscience Meeting, (1995), 31.


84. Thomas CM, Gibson WG, Robinson J
Thomas CM, Gibson WG, Robinson J: Stability and bifurcations in an associative memory model, Proceedings of the Sixth Australian Conference on Neural Networks, Australian Conference on Neural Networks, M. Charles and C. Latimer (eds.), (1995), 98–101.


85. Bennett MR, Farnell L, Gibson WG, Karunanithi S
Bennett MR, Farnell L, Gibson WG, Karunanithi S: Quantal transmission at purinergic junctions: stochastic interaction between ATP and its receptors, Proceedings of the Australian Neuroscience Society, Australian Neuroscience 15th Annual Meeting, 6 (1995), 153.


86. Bennett MR, Gibson WG, Robinson J
Bennett MR, Gibson WG, Robinson J: Probabilistic secretion of quanta: spontaneous release at active zones of varicosities, boutons and endplates, Proceedings of the Australian Neuroscience Society, Australian Neuroscience 15th Annual Meeting, 6 (1995), 93.


87. Poznanski RR, Gibson WG, Bennett MR
Poznanski RR, Gibson WG, Bennett MR: Electrotonic coupling between two CA3 hyppocampal pyramidal neurons: a distributed cable model with somatic gap-junction, Bulletin of Mathematical Biology, 57 (1995), 865–881.


88. Bennett MR, Gibson WG, Robinson J
Bennett MR, Gibson WG, Robinson J: Probabilistic secretion of quanta: spontaneous release at active zones of varicosities, boutons and endplates, Biophysical Journal, 69 (1995), 42–56.


89. Bennett MR, Farnell L, Gibson WG
Bennett MR, Farnell L, Gibson WG: Quantal transmission at purinergic synapses: stochastic interaction between ATP and its receptors, Journal of Theoretical Biology, 175 (1995), 397–404.


90. Bennett MR, Farnell L, Gibson WG, Karunanithi S
Bennett MR, Farnell L, Gibson WG, Karunanithi S: Quantal transmission at purinergic junctions: stochastic interaction between ATP and its receptors, Biophysical Journal, 68 (1995), 925–935.


91. Bennett MR, Gibson WG
Bennett MR, Gibson WG: On the contribution of quantal secretion from close-contact and loose-contact varicosities to the synaptic potentials in the vas deferens, Philosophical Transactions of the Royal Society of London. Series B, 347 (1995), 187–204.


92. Gibson WG, Robinson J, Thomas CM
Gibson WG, Robinson J, Thomas CM: Stability and bifurcations in an autoassociative memory model, European Symposium on Artificial Neural Networks, Verleysen M (ed.), D Facto, Brussels, (1994), 7–12. ISBN 2-9600049-1-4.


93. Bennett MR, Gibson WG
Bennett MR, Gibson WG: On the contribution of quantal secretion from close-contact and loose-contact varicosities to the synaptic potentials in the vas deferens, Australian Neuroscience 14th Annual Meeting, Proceeding of the Australian Neuroscience Society, 5 (1994), 146.


94. Poznanski RR, Gibson WG, Bennett MR
Poznanski RR, Gibson WG, Bennett MR: Electrotonic coupling between two CA3 hippocampal neurons: a distributed cable model with somatic gap-junction, Australian Neuroscience 14th Annual Meeting, Proceedings of the Australian Neuroscience Society, 5 (1994), 145.


95. Bennett MR, Gibson WG, Robinson J
Bennett MR, Gibson WG, Robinson J: Dynamics of the CA3 pyramidal neuron autoassociative memory network in the hippocampus, Philosophical Transactions of the Royal Society of London. Series A. Physical Sciences and Engineering, 343 (1994), 167–187.


96. Gibson WG, Glasby SP, Henderson J
Gibson WG, Glasby SP, Henderson J: Algebra, School of Mathematics and Statistics, (1993), 200.


97. Gibson WG
Gibson WG: Modelling the electrical properties of smooth muscle, 1993 New Zealand Mathematics Colloquium, Christchurch, NZ, (1993),


98. Bennett MR, Gibson WG, Robinson J
Bennett MR, Gibson WG, Robinson J: An associative memory model for the CA3 region of the hippocampus, 11th International Australasian Winter Conference on Brain Function 1993, (1993),


99. Gibson WG
Gibson WG: Modelling the electrical properties of smooth muscle, Applied Mathematics Conference, Hahndorf, February 1993, (1993),


100. Poznanski RR, Gibson WG, Bennett MR
Poznanski RR, Gibson WG, Bennett MR: Quantal secretion from varicosities in a smooth muscle system: analytical solution to the problem of current flow and potential, Australian Neuroscience Society Conference, Melbourne, February, 1993, Proceedings of the Australian Neuroscience Society, 4 (1993), 74.


101. Fu AMN, Gibson WG
Fu AMN, Gibson WG: Statistical analysis of a parallel dynamics autoassociative memory network, Australian Conference on Neural Networks, Melbourne, February 1993, Proceedings of the Fourth Australian Conference on Neural Networks, (1993), 90–93.


102. Bennett MR, Gibson WG, Robinson J
Bennett MR, Gibson WG, Robinson J: An autoassociative memory model for the CA3 region of the hippocampus, Proceedings of the Fourth Australian Conference on Neural Networks, Australian Conference on Neural Networks, Melbourne, February 1993, (1993), 1–4.


103. Bennett MR, Gibson WG, Poznanski RR
Bennett MR, Gibson WG, Poznanski RR: Extracellular current flow and potential during quantal transmission from varicosities in a smooth muscle syncytium, Philosophical Transactions of the Royal Society of London. Series B, B342 (1993), 89–99.


104. Robinson J, Gibson WG
Robinson J, Gibson WG: Statistical analysis of the dynamics of an associative memory, 11th Australian Statistical Conference, (1992),


105. Bennett MR, Gibson WG, Poznanski RR
Bennett MR, Gibson WG, Poznanski RR: Extracellular current flow and potential during quantal transmission from varicosities in a smooth muscle syncytium, Australian Physiological and Pharmacological Society Meeting, Sydney (September, 1992), Proceedings of the Australian Physiological and Pharmacological Society, 23 (1992), 183P.


106. Gibson WG, Robinson J
Gibson WG, Robinson J: Sparse associative memory, Proceedings of the Third Australian Conference on Neural Networks, Australian Conference on Neural Networks, Canberra (February, 1992), (1992), 37–40.


107. Gibson WG, Robinson J, Bennett MR
Gibson WG, Robinson J, Bennett MR: An autoassociative memory model for the CA3 region of the hippocampus, ARC Cognitive Science Forum, Macquarie University, Sydney (January, 1992), (1992),


108. Adhikari SK, Gibson WG
Adhikari SK, Gibson WG: Low-energy behaviour of few-particle scattering amplitudes in two dimensions, Physical Review. A, 46 (1992), 3967–3977.


109. Gibson WG, Robinson J
Gibson WG, Robinson J: Statistical analysis of the dynamics of a sparse associative memory, Neural Networks, 5 (1992), 645–661.


110. Gibson WG
Gibson WG: Hopfield neural nets and neural memory models, Australian Conference on Neural Networks (Tutorial Program), Sydney (February, 1991), (1991),


111. Gibson WG, Robinson J, Bennett MR
Gibson WG, Robinson J, Bennett MR: Probabilistic secretion of quanta in the central nervous system: granule cell synaptic control of pattern separation and activity regulation, Philosophical Transactions of the Royal Society of London. Series B, 332 (1991), 199–220.


112. Gibson WG, Robinson J, Bennett MR
Gibson WG, Robinson J, Bennett MR: Probabilistic Secretion of Transmitter at Granule Cell Synapses: A Role in Pattern Separation and Activity Regulation, Proceedings of the First Australian Conference on Neural Networks, Australian Conference on Neural Networks, Sydney (January, 1990), (1990), 132–133.


113. Gibson WG
Gibson WG: Hopfield networks, Workshop on foundation of connectionist modelling, UNSW July 1989, (1989),


114. Gibson WG
Gibson WG: Levinson's theorem and the second virial coefficient in one, two and three dimensions, Physical Review. A, A 36 (1987), 564–575. 88k:81237


115. Gibson WG, Larsen SY, Popiel J
Gibson WG, Larsen SY, Popiel J: Hyperspherical harmonics in one-dimension: adiabatic effective potentials for three particles with delta-function interactions, Physical Review. A, A 35 (1987), 4919–4929.


116. Gibson WG
Gibson WG: Applications of few-body methods in statistical mechanics, Few-Body Methods: Principles and Applications, International Symposium on Few-Body Methods, Nanning, China, (August 1985), Lim TK, et al. eds (eds.), World Scientific, Singapore, (1986), 637–659.


117. Adhikari SK, Gibson WG, Lim TK
Adhikari SK, Gibson WG, Lim TK: Effective range theory in two dimensions, Journal of Chemical Physics, 85 (1986), 5580–5583.


118. Gibson WG
Gibson WG: Two-dimensional scattering: low-energy behaviour of the Jost function and Levinson's theorem, Physics Letters. A, 117 (1986), 107–110. 87g:81119


119. Gibson WG
Gibson WG: Some applications of two-point Padé approximants to problems in statistical mechanics, Statistical Mechanics Meeting, Melbourne University (May, 1985), (1985),


120. Gibson WG
Gibson WG: Quantum corrections to the second virial coefficient for hard discs, Molecular Physics, 56 (1985), 701–708.


121. Gibson WG
Gibson WG: Hyperspherical harmonics and few-body problems in quantum statistical mechanics, Statistical Mechanics Meeting, ANU, Canberra (November, 1984), (1984),


122. Gibson WG
Gibson WG: Padé approximant method for the statistical thermodynamics of a quantum system. II. Quartic anharmonic oscillator, Journal of Physics. A. Mathematical and General, 17 (1984), 1891–1901. 85g:82044b


123. Gibson WG
Gibson WG: Padé approximant method for the statistical thermodynamics of a quantum system. I. General formulation and simple examples, Journal of Physics. A. Mathematical and General, 17 (1984), 1877–1890. 85g:82044a


124. Gibson WG
Gibson WG: Low-temperature expansions for the second and third cluster integrals of a two-dimensional quantum system of hard discs, Molecular Physics, 49 (1983), 103–128.


125. Gibson WG
Gibson WG: Third virial coefficient for quantum hard spheres: two-point Padé approximants for direct and exchange parts, Journal of Statistical Physics, 26 (1981), 333–346.


126. Gibson WG, Thompson RS
Gibson WG, Thompson RS: Neural model with probabilistic firing behaviour. II. One- and two-neuron networks, Mathematical Biosciences, 56 (1981), 255–285. 82j:92036b


127. Gibson WG, Thompson RS
Gibson WG, Thompson RS: Neural model with probabilistic firing behaviour. I. General considerations, Mathematical Biosciences, 56 (1981), 239–253. 82j:92036a


128. Gibson WG
Gibson WG: Quantum corections to the second virial coefficient for potentials with a hard core, Journal of Chemical Physics, 74 (1981), 237–239.


129. Gibson WG
Gibson WG: Two-point Padé approximants and the virial coefficients for a quantum gas of hard spheres, Australian Mathematical Society Applied Mathematics Conference, Cowes (February, 1980), (1980),


130. Gibson WG
Gibson WG: Quantum-mechanical third virial coefficient for hard spheres. Application of two-point Padé approximant, Molecular Physics, 40 (1980), 237–239.


131. Gibson WG
Gibson WG: Variational principle for the Wigner distribution function, Australian Mathematical Society Applied Mathematics Conference, Leura (February, 1979), (1979),


132. Gibson WG
Gibson WG: Variational Principle for the equilibrium Wigner distribution function, Physica, 98A (1979), 298–306. 81a:82017


133. Gibson WG, Thompson RS
Gibson WG, Thompson RS: Powers of nonsymmetric stochastic matrices: comment on a paper by Little, Ng and Shaw, Mathematical Biosciences, 42 (1978), 37–41. 58:28044b


134. Gibson WG
Gibson WG: Quantum corrections to fluid properties, Statistical Mechanics Meeting, Melbourne University (May, 1976), (1976),


135. Gibson WG
Gibson WG: Quantum corrections to the properties of a dense fluid with non-analytic intermolecular potential function. II. Hard spheres, Molecular Physics, 30 (1975), 13–30.


136. Gibson WG
Gibson WG: Quantum corrections to the properties of a dense fluid with non-analytic intermolecular potential function. I. The general case, Molecular Physics, 30 (1975), 1–11.


137. Byrnes SG, Gibson WG
Byrnes SG, Gibson WG: Quantum-mechanical radial distribution function for a hard-sphere gas at low density and high temperature, Physical Review. A, 11 (1975), 270–275.


138. Gibson WG
Gibson WG: Quantum corrections to the radial distribution function of a fluid, Molecular Physics, 28 (1974), 793–800.


139. Gibson WG
Gibson WG: Quantum corrections to the virial coefficients for potentials with hard cores, Physical Review. A, 7 (1973), 822–824.


140. Gibson WG
Gibson WG: Expansion for the quantum second virial coefficient using hard-sphere basis functions, Journal of Chemical Physics, 59 (1973), 991.


141. Gibson WG
Gibson WG: Quantum corrections to the equation of state for nonanalytic potentials, Physical Review. A, 5 (1972), 862–867.


142. Gibson WG
Gibson WG: Logarithmic term in the low-temperature expansion of the third quantum cluster coefficient of a quantum gas, Physics Letters. A, 38A (1972), 331–332.


143. Gibson WG
Gibson WG: Low-temperature expansion of the third cluster coefficient of a quantum gas, Physical Review. A, 6 (1972), 2469–2477.


144. Gibson WG
Gibson WG: Classical limit of the binary-collision expansion, Physical Review. A, 4 (1971), 2108–2109.


145. Gibson WG
Gibson WG: Bound state and continuum contributions to the two-body partition function, Physics Letters. A, 36A (1971), 403–404.


146. Gibson WG
Gibson WG: Quantum-mechanical second virial coefficient at high temperatures, Physical Review. A, 2 (1970), 996–1002.


147. Gibson WG
Gibson WG: Application of the Faddeev equations to the calculation of the quantum-mechanical third virial coefficient, Physics Letters. A, 21 (1966), 619–621.


Number of matches: 147