Recent Ca2+-imaging studies on the antennal lobe of the honeybee (Apis mell
ifera) have shown that olfactory stimuli evoke complex spatiotemporal chang
es of the intracellular Ca2+ concentration, in which stimulus-dependent sub
sets of glomeruli are highlighted. In this work we use nonlinear models for
the quantitative identification of the spatial and temporal properties of
the Ca2+-dependent fluorescence signal. This technique describes time serie
s of the Ca2+ signal as a superposition of biophysically motivated model fu
nctions for photobleaching and Ca2+ dynamics and provides optimal estimates
of their amplitudes (signal strengths) and time constants together with er
ror measures. Using this method, we can reliably identify two different sti
mulus-dependent signal components. Their delays and rise times, delta (c1)
= (0.4 +/- 0.3) s, tau (c1) = (3.8 +/- 1.2) s for the fast component and de
lta (c2) = (2.4 +/- 0.6) s, tau (c2) = (10.3 +/- 3.2) s for the slow compon
ent, are constant over space and across different odors and animals. In chr
onological experiments, the amplitude of the fast (slow) component often de
creases (increases) with time. The pattern of the Ca2+ dynamics in space an
d time can be reliably described as a superposition of only two spatiotempo
rally separable patterns based on the fast and slow components. However, th
e distributions of both components over space turn out to differ from each
other, and more work has to be done in order to specify their relationship
with neuronal activity. (C) 2001 Academic Press.