Recent experiments indicate that the calcium store (e.g., endoplasmic
reticulum) is involved in electrical bursting and [Ca2+](i) oscillatio
n in bursting neuronal cells. In this paper, we formulate a mathematic
al model for bursting neurons, which includes Ca2+ in the intracellula
r Ca2+ stores and a voltage-independent calcium channel (VICC). This V
ICC is activated by a depletion of Ca2+ concentration in the store, [C
a2+](CS). In this model, [Ca2+](CS) oscillates slowly, and this slow d
ynamic in turn gives rise to electrical bursting. The newly formulated
model thus is radically different from existing models of bursting ex
citable cells, whose mechanism owes its origin to the ion channels in
the plasma membrane and the [Ca2+](i) dynamics. In addition, this mode
l is capable of providing answers to some puzzling phenomena, which th
e previous models could not (e.g., why cAMP, glucagon, and caffeine ha
ve ability to change the burst periodicity). rising mag-fura-2 fluores
cent dyes, it would be interesting to verify the prediction of the mod
el that (1) [Ca2+](CS) oscillates in bursting neurons such as Aplysia
neuron and (2) the neurotransmitters and hormones that affect the aden
ylate cyclase pathway can influence this oscillation.