A cell model study of calcium influx mechanism regulated by calcium-dependent potassium channels in Purkinje cell dendrites

The 40-year history of modeling active dendrites in cerebellar Purkinje cells: emergence of the first single cell "community model"

The subject of the effects of the active properties of the Purkinje cell dendrite on neuronal function has been an active subject of study for more than 40 years. Somewhat unusually, some of these investigations, from the outset have involved an interacting combination of experimental and model-based techniques. This article recounts that 40-year history, and the view of the functional significance of the active properties of the Purkinje cell dendrite that has emerged. It specifically considers the emergence from these efforts of what is arguably the first single cell "community" model in neuroscience. The article also considers the implications of the development of this model for future studies of the complex properties of neuronal dendrites.

Diffusion and extrusion shape standing calcium gradients during ongoing parallel fiber activity in dendrites of Purkinje neurons

Synaptically induced calcium transients in dendrites of Purkinje neurons (PNs) play a key role in the induction of plasticity in the cerebellar cortex (Ito, Physiol Rev 81:1143-1195, 2001). Long-term depression at parallel fiber-PN synapses can be induced by stimulation paradigms that are associated with long-lasting (>1 min) calcium signals. These signals remain strictly localized (Eilers et al., Learn Mem 3:159-168, 1997), an observation that was rather unexpected, given the high concentration of the mobile endogenous calcium-binding proteins parvalbumin and calbindin in PNs (Fierro and Llano, J Physiol (Lond) 496:617-625, 1996; Kosaka et al., Exp Brain Res 93:483-491, 1993). By combining two-photon calcium imaging experiments in acute slices with numerical computer simulations, we found that significant calcium diffusion out of active branches indeed takes places. It is outweighed, however, by rapid and powerful calcium extrusion along the dendritic shaft. The close interplay of diffusion and extrusion defines the spread of calcium between active and inactive dendritic branches, forming a steep gradient in calcium with drop ranges of ~13 μm (interquartile range, 10-18 μm).

The weak bases NH3 and trimethylamine inhibit the medium and slow afterhyperpolarizations in rat CA1 pyramidal neurons

The weak bases NH(3) and trimethylamine (TMeA), applied externally, are widely used to investigate the effects of increasing intracellular pH (pH(i)) on neuronal function. However, potential effects of the compounds independent from increases in pH(i) are not usually considered. In whole-cell patch-clamp recordings from rat CA1 pyramidal neurons, bath application of 1-40 mM NH(4)Cl or TMeA HCl reduced resting membrane potential and input resistance, inhibited the medium and slow afterhyperpolarizations (AHPs) and their respective underlying currents, mI(ahp) and sI(ahp), and led to the development of depolarizing current-evoked burst firing. Examined in the presence of 1 microM TTX and 5 mM TEA with 10 mM Hepes in the recording pipette, NH(3) and TMeA increased pH(i) and the magnitudes of depolarization-evoked intracellular [Ca(2+)] transients, Ca(2+)-dependent depolarizing potentials, and inward Ca(2+) currents but reduced the slow AHP and sI(ahp). When internal H(+) buffering power was raised by including 100 mM tricine in the patch pipette, the effects of NH(3) and TMeA to increase pH(i) and augment Ca(2+) influx were attenuated whereas the reductions in the slow AHP and sI(ahp) (as well as membrane potential and input resistance) were maintained. The findings indicate that increases in pH(i) contribute to the increases in Ca(2+) influx observed in the presence of NH(3) and TMeA but not to the reductions in membrane potential, input resistance or the magnitudes of AHPs. The results have implications for the interpretation of data from experiments in which pH(i) is manipulated by the external application of NH(3) or TMeA.

Background synaptic activity modulates the response of a modeled purkinje cell to paired afferent input

We studied the possible effects of background excitatory and inhibitory synaptic activity on Purkinje cell responses to paired pulse inputs using a morphologically and physiologically detailed compartmental model. Paired-pulse inputs were provided via synapses associated with the ascending segment of the granule cell axon in the presence of variable amounts of background synaptic input provided by parallel fibers and inhibitory interneurons. The results predict the amplitude and dynamics of the somatic and dendritic responses to paired ascending segment inputs are modulated by the level of background synaptic activity, the basal somatic firing rate of the Purkinje cell model does not indicate the type or degree of modulation, and the modulatory effects are mediated through dendritic calcium and calcium-activated potassium currents. These results have important consequences for the functional organization of cerebellar cortex as well as the more general issue of the modulatory as distinct from driving effects of synapses now also being considered in other regions of the mammalian brain including the cerebral cortex.

pH modulation of currents that contribute to the medium and slow afterhyperpolarizations in rat CA1 pyramidal neurones

We examined the effects of changes in pH(o) and pH(i) on currents contributing to the medium and slow afterhyperpolarizations (mI(AHP) and sI(AHP), respectively) in rat CA1 neurones. Reducing pH(o) from 7.4 to 6.7 inhibited mI(AHP) and sI(AHP) whereas increasing pH(o) to 7.7 augmented mI(AHP) and, to a greater extent, sI(AHP). The ability of changes in pH(o) to modulate mI(AHP) reflected changes in the Ca(2+)-activated K(+) current, I(AHP), and a Co(2+)- and XE991-resistant component of mI(AHP), but not the muscarine-sensitive current, I(M). In the presence of 1 microM TTX and 5 mM TEA, low pH(o)-evoked reductions in sI(AHP) were associated with reductions in Ca(2+)-dependent depolarizing potentials; because neither effect was attenuated when internal H(+) buffering power was raised by including 100 mm tricine in the patch pipette, the actions of reductions in pH(o) to inhibit sI(AHP) and, possibly, I(AHP) in large part appear to reflect a low pH(o)-dependent decrease in Ca(2+) influx. In contrast, the effects of high pH(o) to augment mI(AHP) and sI(AHP) were associated with relatively small increases in Ca(2+) potentials but were significantly attenuated by 100 mM internal tricine, indicating that a rise in pH(i) consequent upon the rise in pH(o) was largely responsible. The possibility that changes in pH(i) could act to modulate mI(AHP) and sI(AHP), independently of changes in Ca(2+) influx, was also suggested by experiments in which pH(i) was lowered at a constant pH(o) by the external application of propionate or by the withdrawal of HCO(-)(3) from the perfusing medium. Lowering pH(i) at a constant pH(o) had little effect on Ca(2+) potentials but inhibited mI(AHP) and, to a greater extent, sI(AHP), effects that were attenuated by 100 mM internal tricine. Together, the results indicate that changes in pH(o) and pH(i) modulate mI(AHP) and sI(AHP) in rat CA1 neurones and suggest that, depending on the direction of the pH(o) change, the sensitivities of the underlying currents to changes in Ca(2+) influx and/or pH(i) may contribute to the effects of changes in pH(o) to modulate mI(AHP) and sI(AHP).