Somatic Ca(2+) dynamics in response to choline-mediated excitation in histaminergic tuberomammillary neurons.

Histaminergic tuberomammillary (TM) neurons of the posterior hypothalamus have been implicated in cognition, alertness and sleep-wakefulness cycles. Spontaneous firing of TM neurons has been associated with histamine release and wakefulness. The expression of alpha7 nicotinic acetylcholine receptors (nAChRs) in TM neurons suggests a role for endogenous choline and for nicotinic drugs in the regulation of intracellular Ca(2+) metabolism, normal TM neuronal activity and histamine release. First, we established the link between TM neuronal spontaneous firing frequency and cytosolic free Ca(2+) concentration ([Ca(2+)](i)). A strong correlation was observed: an onset of spontaneous firing (3-4Hz) was accompanied by a 20-fold increase in [Ca(2+)](i) from 56+/-18 nM to 1.0+/-0.6 microM. The same range of firing frequencies has been observed in TM neurons in vivo and is associated with wakefulness. Secondly, choline-induced activation of alpha7 nAChRs did not elevate [Ca(2+)](i) directly, i.e. in the absence of high-threshold voltage-gated Ca(2+) channel (HVGCC) activation. Cd(2+) (200 microM) completely blocked all Ca(2+) signals, but inhibited only 37+/-16% of alpha7 nAChR-mediated currents. Thirdly, the responsiveness of [Ca(2+)](i) to choline-mediated excitation was inhibited by hyperpolarization and enhanced by depolarization, sensitizing [Ca(2+)](i) at membrane voltages associated with normal TM neuronal activity. These properties of [Ca(2+)](i) define the ability of TM neurons to translate cholinergic stimuli of identical strengths into different cytosolic Ca(2+) effects, providing the physiological substrate for state-specific modulation of incoming cholinergic information and would be expected to play a very important role in determining activity profiles of TM neurons exposed to elevated concentrations of cholinergic agents, such as choline and nicotine.

Analysis and implications of equivalent uniform approximations of nonuniform unitary synaptic systems.

Real synaptic systems consist of a nonuniform population of synapses with a broad spectrum of probability and response distributions varying between synapses, and broad amplitude distributions of postsynaptic unitary responses within a given synapse. A common approach to such systems has been to assume identical synapses and recover apparent quantal parameters by deconvolution procedures from measured evoked (ePSC) and unitary evoked postsynaptic current (uePSC) distributions. Here we explicitly consider nonuniform synaptic systems with both intra (type I) and intersynaptic (type II) response variability and formally define an equivalent system of uniform synapses in which both uePSC and ePSC amplitude distributions best approximate those of the actual nonuniform synaptic system. This equivalent system has the advantage of being fully defined by just four quantal parameters: ñ, the number of equivalent synapses;p, the mean probability of quantal release; mu, mean; and sigma(2), variance of the uePSC distribution. We show that these equivalent parameters are weighted averages of intrinsic parameters and can be approximated by apparent quantal parameters, therefore establishing a useful analytical link between the apparent and intrinsic parameters. The present study extends previous work on compound binomial analysis of synaptic transmission by highlighting the importance of the product of p and mu, and the variance of that product. Conditions for a unique deconvolution of apparent uniform synaptic parameters have been derived and justified. Our approach does not require independence of synaptic parameters, such as p and mu from each other, therefore the approach will hold even if feedback (i.e., via retrograde transmission) exists between pre and postsynaptic signals. Using numerical simulations we demonstrate how equivalent parameters are meaningful even when there is considerable variation in intrinsic parameters, including systems where subpopulations of high- and low-release probability synapses are present, therefore even under such conditions the apparent parameters estimated from experiments would be informative.

alpha7 receptor-selective agonists and modes of alpha7 receptor activation.

The alpha7-selective agonists 3-(2, 4-dimethoxybenzylidene)-anabaseine (GTS-21), also known as DMXB, and 3-(4-hydroxy,2-methoxybenzylidene)anabaseine (4OH-GTS-21) produce a variety of behavioral and cytoprotective effects that may be related to the activation of either large transient currents at high concentrations or small sustained currents at lower agonist concentrations. We are using acutely dissociated hypothalamic neurons, which express a central nervous system (CNS) alpha7-type receptor, to test a model for the concentration-dependent desensitization of alpha7-mediated responses. Our results confirm that 4OH-GTS-21 is a potent activator of neuronal alpha7 nicotinic-acetylcholine receptor. The rapid application of agonist leads to a brief period of maximal receptor-activation followed by desensitization. Rise rates, decay rates, and the degree to which current was desensitized were all concentration-dependent. Following the initial peak response to a 300-microM 4OH-GTS-21 application, current is reduced to baseline values within about 100 ms. Application of 30 microM 4OH-GTS-21 produced both a transient peak current and a sustained current that decayed only slowly after the removal of agonist. In the case of a 300-microM 4OH-GTS-21 application, after agonist was removed, we saw a rebound response up to the level of the 30-microM sustained current. The data, therefore, suggest that a sufficient level of agonist occupation can be retained on the receptor to promote activation for up to several hundred milliseconds.

Analytical description of the activation of multi-state receptors by continuous neurotransmitter signals at brain synapses.

Chemical synaptic transmission is a fundamental component of interneuronal communications in the central nervous system (CNS). Discharge of a presynaptic vesicle containing a few thousand molecules (a quantum) of neurotransmitter into the synaptic cleft generates a transmitter concentration signal that drives postsynaptic ion-channel receptors. These receptors exhibit multiple states, with state transition kinetics dependent on neurotransmitter concentration. Here, a novel and simple analytical approach for describing gating of multi-state receptors by signals with complex continuous time courses is used to describe the generation of glutamate-mediated quantal postsynaptic responses at brain synapses. The neurotransmitter signal, experienced by multi-state N-methyl-D-aspartate (NMDA)- and L-alpha-amino-3-hydroxy-5-methyl-4-isoxazolepropionate (AMPA)-type glutamate receptors at specific points in a synaptic cleft, is approximated by a series of step functions of different intensity and duration and used to drive a Markovian, multi-state kinetic scheme that describes receptor gating. Occupancy vectors at any point in time can be computed interatively from the occupancy vectors at the times of steps in transmitter concentration. Multi-state kinetic schemes for both the low-affinity AMPA subtype of glutamate receptor and for the high-affinity NMDA subtype are considered, and expected NMDA and AMPA components of synaptic currents are calculated. The amplitude of quantal responses mediated by postsynaptic receptor clusters having specific spatial distributions relative to foci of quantal neurotransmitter release is then calculated and related to the displacement between the center of the postsynaptic receptor cluster and the focus of synaptic vesicle discharge. Using this approach we show that the spatial relation between the focus of release and the center of the postsynaptic receptor cluster affects synaptic efficacy. We also show how variation in this relation contributes to variation in synaptic current amplitudes.

A mathematical description of miniature postsynaptic current generation at central nervous system synapses.

Variation in the amplitude of miniature postsynaptic currents (mPSCs) generated by individual quanta of neurotransmitter is a major contributor to the variance of evoked synaptic responses. Here we explore the possible origins of this variability by developing a mathematical description of mPSC generation and consider the contribution of "off-center" release to this variability. By "off-center" release we mean variation in the distance between the position where a presynaptic vesicle discharges its content of neurotransmitter into the synaptic cleft and the center of a cluster of postsynaptic receptors (PRCs) that responds to those transmitter molecules by generating an mPSC. We show that when the time course of quantal discharge through a fusion pore (noninstantaneous release) is considered, elementary analytical descriptions of the subsequent diffusion of transmitter within the synaptic cleft (with or without uptake) predict the development of significant gradients of transmitter concentration during the rising phase of mPSCs. This description of diffusion is combined with a description of the pharmacodynamics of receptors in the PRC and of the time dependence of the gradient of transmitter concentration over the area of the PRC to reconstruct the time course and amplitude of an mPSC for a synapse of a given geometry. Within the constraints of known dimensions of presynaptic active zones and postsynaptic receptor clusters at CNS synapses, our analysis suggests that "off-center" release, produced by allowing release to occur anywhere within an anatomically defined presynaptic active zone, can be an important contributor to mPSC variability. Indeed, modulation of the influence of "off-center" release may be a novel way of controlling synaptic efficacy. We also show how noninstantaneous release can serve to focus the action of neurotransmitter within a given synapse and thereby reduce cross-talk between synapses.

Alpha-bungarotoxin-sensitive nicotinic responses in rat tuberomammillary neurons.

Application of acetylcholine (ACh), nicotine or 1, 1-dimethyl-4-phenylpiperazinium elicited an inward current in histaminergic neurons of the tuberomammillary nucleus. These responses were blocked by 25-50 nM alpha-bungarotoxin. Acutely dissociated neurons from the tuberomammillary nucleus displayed fast, desensitizing responses to ACh. ACh-activated currents exhibited rectification at positive membrane potentials. The Hill coefficient and half-maximally effective concentration (EC50) for ACh were 1.85 and 119 microM, respectively. Desensitization could be fitted by an exponential. Preincubation in low concentrations of ACh diminished subsequent responses to higher concentrations of ACh. The alpha-bungarotoxin sensitivity in conjunction with the low potency of ACh at this receptor are consistent with its identification as an alpha7-subunit-containing receptor. These alpha-bungarotoxin-sensitive receptors are ligand-gated cationic channels which are not thought to play a role in synaptic transmission, but they may be an important site for central actions of nicotine.

Phasic activation and state-dependent inhibition: an explicit solution for a three-state ion channel system.

Ion channels can exist in three broad classes of states: closed (C), open (O), and desensitized or inactivated (I). Many ion channel modulators interact preferentially with one of these states giving rise to use or state dependent effects and often complex interactions with phasic stimulation. Although mathematical descriptions of three-state systems at steady-state or following a single perturbation are well known, a solution to the boundary problem of how such a system interacts with regular phasic perturbations or stimuli has not previously been reported. In physiological systems, ion channels typically experience phasic stimulation and an explicit mathematical description of the interaction between phasic activation and use-dependent modulation within the framework of a three-state system should be useful. Here we present derivations of generalized, recurrent and explicit formulae describing this interaction that allow prediction of the degree of use dependent modulation at any point during a train of repeated stimuli. Each state is defined by two functions of time (y or z) that define the fraction of channels in that state during the alternating stimulation and resting phases, respectively. For a train of repeated stimuli we defined vector Z2n that has coordinates Z2nO and Z(2n)I representing the values for O and I states at the end of the n-th resting phase. We then defined a recurrent relationship, [symbol: see formula]. Therefore, for the steady state: [symbol: see formula], where [symbol: see formula] E is the identity matrix. Matrix and vector elements, Cif, are defined in terms of duration of the repeated stimulation and resting phases and the two sets of six rate constants that describe the three-state model during those two phases. Several conclusions can be deduced from the formulation: (I) in order to determine an occupancy of any state under the cyclic stimulus-rest protocol it is necessary to know at least two occupancy levels-either of the same state but related to different phases of the stimulus protocol or of different states at the same point in the stimulus protocol, for instance: [symbol: see text] (2) the solution Z2n can be approximated by a matrix-exponential function, with the precision of the approximation depending on the interval between stimuli; (3) for all steady-state solutions, the matrix F is such that [symbol: see text] is a zero-matrix. Application of this approach is illustrated using experimentally derived parameters describing desensitization of GABA, receptors and modulation of that process by the anesthetic propofol.

Potentiation of glutamate-activated currents in isolated hippocampal neurons.

"Fast chemical stimulation" was shown to induce potentiation of glutamate-activated currents in neurons isolated from rat hippocampus. A fast application system allowed solution changes up to a rate of 20 Hz. In Mg2(+)-free solution, the response to glutamate application immediately after repetitive stimulation with glutamate plus glycine was increased by 25%-88%, returning to control levels over 10-15 min. Enhancement of glutamate-induced currents was also seen after stimulation with solutions containing aspartate or NMDA plus glycine. Aspartate-induced currents were not potentiated. These and other observations demonstrate that in a purely "postsynaptic" system, short-term potentiation can be induced and is mediated via NMDA receptors whereas the potentiated current is carried via non-NMDA glutamate receptor channels.