Professor William Gibson

F07 - Carslaw Building
The University of Sydney

Selected grants

2006

  • Mechanism of Transmission of calcium by Glial Cells; Bennett M, Gibson W; Australian Research Council (ARC)/Discovery Projects (DP).

2005

  • A mathematical model relating neural activity to cerebral blood flow; Gibson W; Australian Research Council (ARC)/Discovery Projects (DP).

2003

  • A mathematical model of calcium signalling in single cells and in multicellular systems; Gibson W, Bennett M; Australian Research Council (ARC)/Discovery Projects (DP).
  • A mathematical model relating cerebral synaptic activity to the functioning of the vasculature; Gibson W; DVC Research/Research and Development Scheme: Research and Development (R&D).

2002

  • Mechanisms of signal transduction in smooth muscle cells; Gibson W; DVC Research/Research and Development Scheme: Research and Development (R&D).

2001

  • The role of calcium in facilitation of synaptic connection strengths between neurons; Gibson W; DVC Research/Research and Development Scheme: Research and Development (R&D).

2000

  • A theoretical investigation of calcium sequestration mechanisms in neurons and in nerve terminals.; Gibson W, Bennett M; Australian Research Council (ARC)/Small Grants.
  • Syncytial integration of autonomic transmission; Bennett M, Phillips W, Gibson W; National Health and Medical Research Council (NHMRC)/Project Grants.
  • Computation of exterior currents and potentials for neurons, muscle fibres and arteries; Gibson W, Bennett M; Australian Research Council (ARC)/Large Research Grants (LRG).

Selected publications

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Book Chapters

  • Gibson, W., Farnell, L., Bennett, M. (2008). A quantitative model of ATP-mediated calcium wave propagation in astrocyte networks. In Deutsch A; Bravo de la Parra R; de Boer RJ; Diekmann O; Jagers P;Kisdi E; etc (Eds.), Mathematical modeling of biological systems, (pp. 193-204). Boston: Birkhauser (imprint of Springer).

Journals

  • Bennett, M., Farnell, L., Gibson, W. (2013). Fiber Pathway Pathology, Synapse Loss and Decline of Cortical Function in Schizophrenia. PloS One, 8(4), 1-12. [More Information]
  • Bennett, M., Farnell, L., Gibson, W. (2012). A Model of Neuregulin Control of NMDA receptors on Synaptic Spines. Bulletin of Mathematical Biology, 74(3), 717-735. [More Information]
  • Bennett, M., Farnell, L., Gibson, W. (2011). A Model of NMDA Receptor Control of F-actin Treadmilling in Synaptic Spines and Their Growth. Bulletin of Mathematical Biology, 73(9), 2109-2131. [More Information]
  • Edwards, J., Gibson, W. (2010). A model for Ca2+ waves in networks of glial cells incorporating both intercellular and extracellular communication pathways. Journal of Theoretical Biology, 263, 45-58.
  • Bennett, M., Farnell, L., Gibson, W. (2010). A Model of NMDA Receptor Control of F-actin Treadmilling in Synaptic Spines and Their Growth. Bulletin of Mathematical Biology, , 1-23. [More Information]
  • Bennett, M., Farnell, L., Gibson, W. (2009). P 2 X7 regenerative-loop potentiation of glutamate synaptic transmission by microglia and astrocytes. Journal of Theoretical Biology, 261(1), 1-16. [More Information]
  • Bennett, M., Farnell, L., Gibson, W. (2008). A quantitative model of cortical spreading depression due to purinergic and gap-junction transmission in astrocyte networks. Biophysical Journal, 95(12), 5648-5660. [More Information]
  • Bennett, M., Farnell, L., Gibson, W. (2008). Origins of blood volume change due to glutamatergic synaptic activity at astrocytes abutting on arteriolar smooth muscle cells. Journal of Theoretical Biology, 250(1), 172-185. [More Information]
  • Bennett, M., Farnell, L., Gibson, W. (2008). Origins of the BOLD changes due to synaptic activity at astrocytes abutting arteriolar smooth muscle. Journal of Theoretical Biology, 252, 123-130. [More Information]
  • Bennett, M., Buljan, V., Farnell, L., Gibson, W. (2008). Purinergic junctional transmission and propagation of calcium waves in cultured spinal cord microglial networks. Purinergic Signalling, 4(1), 47-59. [More Information]
  • Gibson, W., Farnell, L., Bennett, M. (2007). A computational model relating changes in cerebral blood volume to synaptic activity in neurons. Neurocomputing, 70(10), 1674-1679.
  • Bennett, M., Farnell, L., Gibson, W., Dickens, P. (2007). Mechanisms of calcium sequestration during facilitation at active zones of an amphibian neuromuscular junction. Journal of Theoretical Biology, 247(2), 230-241. [More Information]
  • Bennett, M., Buljan, V., Farnell, L., Gibson, W. (2006). Purinergic junctional transmission and propagation of calcium waves in spinal cord astrocyte networks. Biophysical Journal, 91(9), 3560-3571. [More Information]
  • Bennett, M., Farnell, L., Gibson, W. (2005). A quantitative description of the contraction of blood vessels following the release of noradrenaline from sympathetic varicosities. Journal of Theoretical Biology, 234(1), 107-122. [More Information]
  • Bennett, M., Farnell, L., Gibson, W. (2005). A quantitative model of purinergic junctional transmission of calcium waves in astrocyte networks. Biophysical Journal, 89(4), 2235-2250. [More Information]
  • Lemon, G., Brockhausen, J., Li, G., Gibson, W., Bennett, M. (2005). Calcium mobilization and spontaneous transient outward current characteristics upon agonist activation of P2Y(2) receptors in smooth muscle cells. Biophysical Journal, 88(3), 1507-1523.
  • Farnell, L., Gibson, W. (2005). Monte Carlo simulation of diffusion in a spatially nonhomogeneous medium: A biased random walk on an asymmetrical lattice. Journal of Computational Physics, 208(1), 253-265. [More Information]
  • Bennett, M., Farnell, L., Gibson, W., Blair, D. (2004). 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(3), 359-372.
  • Farnell, L., Gibson, W. (2004). Monte Carlo simulation of diffusion in a spatially nonhomogeneous medium: correction to the Gaussian steplength. Journal of Computational Physics, 198(1), 65-79. [More Information]
  • Bennett, M., Farnell, L., Gibson, W. (2004). The Facilitated Probability of Quantal Secretion within an Array of Calcium Channels of an Active Zone at the Amphibian Neuromuscular Junction. Biophysical Journal, 86(5), 2674-2690.
  • Lemon, G., Gibson, W., Bennett, M. (2003). A model of insoitol 1,4,5-trisphosphate and calcium dynamics in single cells following metabotropic receptor activation. Neurocomputing, 52-54, 271-276.
  • Lemon, G., Gibson, W., Bennett, M. (2003). Metabotropic receptor activation, desensitization and sequestration - I: modelling calcium and inositol 1,4,5-triphosphate dynamics following receptor ativation. Journal of Theoretical Biology, 223(1), 93-111.
  • Lemon, G., Gibson, W., Bennett, M. (2003). Metabotropic receptor activation, desensitization and sequestration - II: modelling the dynamics of the pleckstrin homology domain. Journal of Theoretical Biology, 223(1), 113-129.
  • Woodbury, G., van der Zwan, R., Gibson, W. (2002). Correlation model for joint development of refined retinotopic map and ocular dominance columns. Vision Research, 42(19), 2295-2310.
  • Bennett, M., Gibson, W., Lemon, G. (2002). Neuronal cell death, nerve growth factor and neurotrophic models: 50 years on. Autonomic Neuroscience: Basic and Clinical, 95, 1-23.
  • Henery, R., Farnell, L., Gibson, W., Bennett, M. (2002). Potential fields in vascular smooth muscle generated by transmitter release from sympathetic varicosities. Journal of Theoretical Biology, 218(4), 531-548.
  • Kearns, M., Farnell, L., Gibson, W., Lin, Y., Bennett, M. (2002). Quantal current fields around individual boutons in sympathetic Ganglia. Journal of Theoretical Biology, 214(2), 135-146. [More Information]
  • Gibson, W., Farnell, L., Bennett, M. (2001). A Monte Carlo analysis of calcium dynamics and facilitation in nerve terminals. Neurocomputing, 38-40, 17-22.
  • Bennett, M., Farnell, L., Gibson, W., Lin, Y., Blair, D. (2001). Quantal and non-quantal current and potential fields around individual sympathetic varicosities on release of ATP. Biophysical Journal, 80(3), 1311-1328.

2013

  • Bennett, M., Farnell, L., Gibson, W. (2013). Fiber Pathway Pathology, Synapse Loss and Decline of Cortical Function in Schizophrenia. PloS One, 8(4), 1-12. [More Information]

2012

  • Bennett, M., Farnell, L., Gibson, W. (2012). A Model of Neuregulin Control of NMDA receptors on Synaptic Spines. Bulletin of Mathematical Biology, 74(3), 717-735. [More Information]

2011

  • Bennett, M., Farnell, L., Gibson, W. (2011). A Model of NMDA Receptor Control of F-actin Treadmilling in Synaptic Spines and Their Growth. Bulletin of Mathematical Biology, 73(9), 2109-2131. [More Information]

2010

  • Edwards, J., Gibson, W. (2010). A model for Ca2+ waves in networks of glial cells incorporating both intercellular and extracellular communication pathways. Journal of Theoretical Biology, 263, 45-58.
  • Bennett, M., Farnell, L., Gibson, W. (2010). A Model of NMDA Receptor Control of F-actin Treadmilling in Synaptic Spines and Their Growth. Bulletin of Mathematical Biology, , 1-23. [More Information]

2009

  • Bennett, M., Farnell, L., Gibson, W. (2009). P 2 X7 regenerative-loop potentiation of glutamate synaptic transmission by microglia and astrocytes. Journal of Theoretical Biology, 261(1), 1-16. [More Information]

2008

  • Gibson, W., Farnell, L., Bennett, M. (2008). A quantitative model of ATP-mediated calcium wave propagation in astrocyte networks. In Deutsch A; Bravo de la Parra R; de Boer RJ; Diekmann O; Jagers P;Kisdi E; etc (Eds.), Mathematical modeling of biological systems, (pp. 193-204). Boston: Birkhauser (imprint of Springer).
  • Bennett, M., Farnell, L., Gibson, W. (2008). A quantitative model of cortical spreading depression due to purinergic and gap-junction transmission in astrocyte networks. Biophysical Journal, 95(12), 5648-5660. [More Information]
  • Bennett, M., Farnell, L., Gibson, W. (2008). Origins of blood volume change due to glutamatergic synaptic activity at astrocytes abutting on arteriolar smooth muscle cells. Journal of Theoretical Biology, 250(1), 172-185. [More Information]
  • Bennett, M., Farnell, L., Gibson, W. (2008). Origins of the BOLD changes due to synaptic activity at astrocytes abutting arteriolar smooth muscle. Journal of Theoretical Biology, 252, 123-130. [More Information]
  • Bennett, M., Buljan, V., Farnell, L., Gibson, W. (2008). Purinergic junctional transmission and propagation of calcium waves in cultured spinal cord microglial networks. Purinergic Signalling, 4(1), 47-59. [More Information]

2007

  • Gibson, W., Farnell, L., Bennett, M. (2007). A computational model relating changes in cerebral blood volume to synaptic activity in neurons. Neurocomputing, 70(10), 1674-1679.
  • Bennett, M., Farnell, L., Gibson, W., Dickens, P. (2007). Mechanisms of calcium sequestration during facilitation at active zones of an amphibian neuromuscular junction. Journal of Theoretical Biology, 247(2), 230-241. [More Information]

2006

  • Bennett, M., Buljan, V., Farnell, L., Gibson, W. (2006). Purinergic junctional transmission and propagation of calcium waves in spinal cord astrocyte networks. Biophysical Journal, 91(9), 3560-3571. [More Information]

2005

  • Bennett, M., Farnell, L., Gibson, W. (2005). A quantitative description of the contraction of blood vessels following the release of noradrenaline from sympathetic varicosities. Journal of Theoretical Biology, 234(1), 107-122. [More Information]
  • Bennett, M., Farnell, L., Gibson, W. (2005). A quantitative model of purinergic junctional transmission of calcium waves in astrocyte networks. Biophysical Journal, 89(4), 2235-2250. [More Information]
  • Lemon, G., Brockhausen, J., Li, G., Gibson, W., Bennett, M. (2005). Calcium mobilization and spontaneous transient outward current characteristics upon agonist activation of P2Y(2) receptors in smooth muscle cells. Biophysical Journal, 88(3), 1507-1523.
  • Farnell, L., Gibson, W. (2005). Monte Carlo simulation of diffusion in a spatially nonhomogeneous medium: A biased random walk on an asymmetrical lattice. Journal of Computational Physics, 208(1), 253-265. [More Information]

2004

  • Bennett, M., Farnell, L., Gibson, W., Blair, D. (2004). 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(3), 359-372.
  • Farnell, L., Gibson, W. (2004). Monte Carlo simulation of diffusion in a spatially nonhomogeneous medium: correction to the Gaussian steplength. Journal of Computational Physics, 198(1), 65-79. [More Information]
  • Bennett, M., Farnell, L., Gibson, W. (2004). The Facilitated Probability of Quantal Secretion within an Array of Calcium Channels of an Active Zone at the Amphibian Neuromuscular Junction. Biophysical Journal, 86(5), 2674-2690.

2003

  • Lemon, G., Gibson, W., Bennett, M. (2003). A model of insoitol 1,4,5-trisphosphate and calcium dynamics in single cells following metabotropic receptor activation. Neurocomputing, 52-54, 271-276.
  • Lemon, G., Gibson, W., Bennett, M. (2003). Metabotropic receptor activation, desensitization and sequestration - I: modelling calcium and inositol 1,4,5-triphosphate dynamics following receptor ativation. Journal of Theoretical Biology, 223(1), 93-111.
  • Lemon, G., Gibson, W., Bennett, M. (2003). Metabotropic receptor activation, desensitization and sequestration - II: modelling the dynamics of the pleckstrin homology domain. Journal of Theoretical Biology, 223(1), 113-129.

2002

  • Woodbury, G., van der Zwan, R., Gibson, W. (2002). Correlation model for joint development of refined retinotopic map and ocular dominance columns. Vision Research, 42(19), 2295-2310.
  • Bennett, M., Gibson, W., Lemon, G. (2002). Neuronal cell death, nerve growth factor and neurotrophic models: 50 years on. Autonomic Neuroscience: Basic and Clinical, 95, 1-23.
  • Henery, R., Farnell, L., Gibson, W., Bennett, M. (2002). Potential fields in vascular smooth muscle generated by transmitter release from sympathetic varicosities. Journal of Theoretical Biology, 218(4), 531-548.
  • Kearns, M., Farnell, L., Gibson, W., Lin, Y., Bennett, M. (2002). Quantal current fields around individual boutons in sympathetic Ganglia. Journal of Theoretical Biology, 214(2), 135-146. [More Information]

2001

  • Gibson, W., Farnell, L., Bennett, M. (2001). A Monte Carlo analysis of calcium dynamics and facilitation in nerve terminals. Neurocomputing, 38-40, 17-22.
  • Bennett, M., Farnell, L., Gibson, W., Lin, Y., Blair, D. (2001). Quantal and non-quantal current and potential fields around individual sympathetic varicosities on release of ATP. Biophysical Journal, 80(3), 1311-1328.

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