Department of Mathematics
Associate Professor Bill Gibson
Dr Les Farnell - Senior Research Associate
Greg Lemon - Ph.D. student
http://www.maths.usyd.edu.au/u/billg
Research:
Theoretical models of intra- and inter-cellular communication
in neural systems and in smooth muscle
The unifying theme of our work is the role of calcium ions (Ca2+)
as a principal second messenger in cellular communication. We
have developed theoretical methods, including Monte Carlo simulation,
for studying the entry, diffusion and binding of Ca2+ in single
neurons and the resulting exocytosis and facilitation of transmitter
release.
We are also modelling the action of metabotropic receptors: these
initiate a G-protein cascade leading to the production of inositol
1,4,5-trisphosphate (IP3) and the release of Ca2+ from internal
stores, This release mediates the contractile process in smooth
muscle and also IP3 diffusion is important for intracellular communication
in a number of other systems, including glia.

Figure 1 - Profile of Ca2+ bound to fixed
buffer 4.5 ms
after opening of Ca2+ channels in the plasmalemma
following an action potential.
Selected recent publications:
Lemon G, Gibson WG, Bennett MR, (2003). Metabotropic receptor
activation, desensitization and sequestration - I: modelling
calcium and inositol 1,4,5-trisphosphate dynamics following
receptor activation. J. Theor. Biol. 223: 93-111.
Lemon G, Gibson WG, Bennett MR, (2003). Metabotropic receptor
activation, desensitization and sequestration - II: modelling
the dynamics of the pleckstrin homology domain. J. Theor. Biol.
223: 113-129.
Bennett MR, Farnell L, Gibson WG, (2000). The probability of
quantal secretion near a single calcium channel of an active
zone. Biophys. J., 78: 2201-2221.
Bennett MR, Farnell L, Gibson WG, (2000). The probability of
quantal secretion within an array of calcium channels of an
active zone. Biophys. J., 78: 2222-2240.
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