Wavelet analysis of nonstationary fluctuations of Monte Carlo-simulated excitatory postsynaptic currents

Tracking spectral changes of rapidly varying signals is a demanding task. In this study, we explore on Monte Carlo-simulated glutamate-activated AMPA patch and synaptic currents whether a wavelet analysis offers such a possibility. Unlike Fourier methods that determine only the frequency content of a signal, the wavelet analysis determines both the frequency and the time. This is owing to the nature of the basis functions, which are infinite for Fourier transforms (sines and cosines are infinite), but are finite for wavelet analysis (wavelets are localized waves). In agreement with previous reports, the frequency of the stationary patch current fluctuations is higher for larger currents, whereas the mean-variance plots are parabolic. The spectra of the current fluctuations and mean-variance plots are close to the theoretically predicted values. The median frequency of the synaptic and nonstationary patch currents is, however, time dependent, though at the peak of synaptic currents, the median frequency is insensitive to the number of glutamate molecules released. Such time dependence demonstrates that the "composite spectra" of the current fluctuations gathered over the whole duration of synaptic currents cannot be used to assess the mean open time or effective mean open time of AMPA channels. The current (patch or synaptic) versus median frequency plots show hysteresis. The median frequency is thus not a simple reflection of the overall receptor saturation levels and is greater during the rise phase for the same saturation level. The hysteresis is due to the higher occupancy of the doubly bound state during the rise phase and not due to the spatial spread of the saturation disk, which remains remarkably constant. Albeit time dependent, the variance of the synaptic and nonstationary patch currents can be accurately determined. Nevertheless the evaluation of the number of AMPA channels and their single current from the mean-variance plots of patch or synaptic currents is not highly accurate owing to the varying number of the activatable AMPA channels caused by desensitization. The spatial nonuniformity of open, bound, and desensitized AMPA channels, and the time dependence and spatial nonuniformity of the glutamate concentration in the synaptic cleft, further reduce the accuracy of estimates of the number of AMPA channels from synaptic currents. In conclusion, wavelet analysis of nonstationary fluctuations of patch and synaptic currents expands our ability to determine accurately the variance and frequency of current fluctuations, demonstrates the limits of applicability of techniques currently used to evaluate the single channel current and number of AMPA channels, and offers new insights into the mechanisms involved in the generation of unitary quantal events at excitatory central synapses.     

The dependence of calcium-activated potassium currents on membrane potential.

Previous experiments on cholinergic synapses in chick cochlear hair cells have shown that calcium entering through acetylcholine-activated synaptic channels in turn activates calcium-dependent potassium currents, resulting in synaptic inhibition. In voltage-clamp experiments such currents would be expected to increase with depolarization (as the driving force for potassium entry is increased) and then decrease towards zero as the membrane approaches the calcium equilibrium potential (when calcium entry is suppressed). In the hair cells, however, such currents approached zero at about +20 mV, more than 170 mV negative to the calcium equilibrium potential. Another feature of the synapse is its post-junctional morphology: a uniform 20 nm cleft is formed between the postsynaptic membrane and the outermost membrane of an underlying cisterna. Here we present a model in which synaptic activation results in calcium influx into the subsynaptic cleft and thence into the bulk of the cytoplasm. The model suggests that the voltage dependence of the calcium-activated potassium current can be accounted for by only two basic assumptions: (i) entry of calcium through the activated synaptic channels by simple diffusion; and (ii) activation of the potassium channels by the cooperative action of four calcium ions. In addition, the model suggests that during activation the calcium concentration in the restricted subsynaptic space can reach levels adequate to activate the potassium channels, without requiring additional, more complicated, considerations (for example, secondary calcium release from the cisterna).     

Quantitative simulation of endplate currents at neuromuscular junctions based on the reaction of acetylcholine with acetylcholine receptor and acetylcholinesterase.

Two kinetic models are introduced which predict amplitudes and time-courses of endplate currents and miniature endplate currents at neuromuscular junctions, at both normal and acetylcholinesterase-inhibited endplates. Appropriate differential rate equations reflecting interactions of acetylcholine with acetylcholine receptor and with esterase, diffusion of acetylcholine both within and from the synaptic cleft, and cooperativity between receptor site occupancy and ion channel opening are solved. Acetylcholine release into the cleft is assumed to be instantaneous. The simpler homogeneous reaction space model accurately predicts decay phase time constants are inaccurate. The two-reaction space model predicts amplitudes and time constants within a factor of two of those observed experimentally. The simulations indicate that the amplitudes and time-courses are primarily determined by the chemical reaction rates that characterize acetylcholine interactions with receptor and esterase and that these interactions occur under nonequilibrium conditions. Approximately 50% of the total ion channels in the initial reaction space are predicted to be opened at the peak endplate current. The cooperative opening of ion channels by acetylcholine requires that acetylcholine be introduced into the cleft in discrete, concentrated elements. Virtually all the open channels are confined to the initial reaction space, although acetylcholine-bound receptor sites can be much more widely distributed.     

CNTF inhibits high voltage activated Ca2+ currents in fetal mouse cortical neurones

Neurotrophic factors yield neuroprotection by mechanisms that may be related to their effects as inhibitors of apoptosis as well as their effects on ion channels. The effect of ciliary neurotrophic factor (CNTF) on high-threshold voltage-activated Ca channels in cultured fetal mouse brain cortical neurones was investigated. Addition of CNTF into serum-free growth medium resulted in delayed reduction of the Ca2+ currents. The currents decreased to 50% after 4 h and stabilized at this level during incubation with CNTF for 48 h. Following removal of CNTF the inhibition was completely reversed after 18 h. CNTF reduced the current of all pharmacological subtypes of Ca channels as shown by use of selective blockers of L, N, and P/Q type Ca channels (nifedipine, omega-conotoxin MVIIA, omega-agatoxin IVA). The Ca channel depression was mediated via the CNTF receptor, because enzymatic cleavage of the alpha-subunit glycerophosphatidylinositol anchor of the receptor eliminated the response. The CNTF effect was not elicited through pertussis toxin-sensitive G proteins. Other neurotrophic factors like neurotrophin-3 and insulin-like growth factor-I had no effect on the Ca2+ currents. These results may have important implications for the possible functions of CNTF in the nervous system, such as altered synaptic activity, neuronal excitability and susceptibility to brain ischaemia.     

Synaptic transmission: ion concentration changes in the synaptic cleft.

Currents flowing through the postsynaptic membrane of an active synapse will tend to change the concentrations of ions in the synaptic cleft. Published experimental data are used to predict (a) the sodium and potassium concentration changes in the cleft at the frog neuromuscular junction, and (b) the sodium depletion in the cleft under a Ia synaptic bouton on a cat motoneuron. Significant concentration changes are predicted at both synapses. These changes will contribute to the time dependence of the observed current and will cause the reversal potential of the current to be time dependent. At the frog neuromuscular junction, the time course of the endplate current has been shown previously to depend on the magnitude of the current flowing (at a given potential). We attribute this to changes of the cleft ion concentration. The time dependent changes of the endplate current reversal potential that we predict for the neuromuscular junction are probably too small to be detected. This is because the effects of sodium depletion and potassium accumulation on the reversal potential almost cancel. We predict that near the reversal potential small currents of complex time course will remain, i.e. no true reversl potential exists. Such currents have previously been experimentally. At the cat Ia synapse, the synaptic current is predicted to deplete a significant fraction of the available extracellular sodium ions. Consequently, the magnitude of the synaptic current should be relatively independent of the number of postsynaptic channels activated, and of the membrane potental, as has previously been found experimentally.     

Nonstationary fluctuation analysis and direct resolution of single channel currents at postsynaptic sites.

In order to measure unitary properties of receptor channels at the postsynaptic site, the noise within the decay phases of inhibitory postsynaptic currents (IPSCs) and of N-methyl-D-aspartate (NMDA)-dependent excitatory postsynaptic currents (EPSCs) in rat hippocampal neurons was studied by nonstationary fluctuation analysis. Least squares scaling of the mean current was used to circumvent the wide variation in amplitude of postsynaptic currents. The variance of fluctuations around the expected current was analyzed to calculate single channel conductance, and fluctuation kinetics were studied with power spectra. The single channel conductance underlying the IPSC was measured as 14 pS, whereas that underlying the EPSC was 42 pS. Openings of the EPSC channel could also be resolved directly in low-noise whole-cell recordings, allowing verification of the accuracy of the fluctuation analysis. The results are the first measurements of the properties of single postsynaptic channels activated during synaptic currents, and suggest that the technique can be widely applicable in investigations of synaptic mechanism and plasticity.     

Whole-cell voltage clamp and intracellular perfusion technique on single smooth muscle cells

Using freshly isolated single smooth muscle cells prepared by collagenase treatment, membrane currents were recorded by whole-cell voltage clamp. Intracellular constituents were modified by using an intracellular perfusion technique, i.e., pipette solutions were continuously exchanged from control to test solutions during current recording. In smooth muscle cells, intracellular application of ATP, but not cyclic AMP, enhanced the amplitude of Ca2+ currents and prevented current run-down. In addition, with this stabilization of Ca2+ current recording by ATP, introduction of various chemicals into the cell using the intracellular perfusion technique is useful for investigations of regulation of ion channels in smooth muscle cells.     

Gating current noise produced by Brownian models of a voltage sensor

The activation of voltage-dependent ion channels is associated with the movement of gating charges, which give rise to gating currents. Although gating currents from a single channel are too small to be detected, analysis of the fluctuations of macroscopic gating currents from a population of channels allows a good guess of their magnitude. The analysis of experimental gating current fluctuations, when interpreted in terms of a rate model of channel activation and assuming sufficiently high bandwidth, is in accordance with the presence of a main step along the activation pathway carrying a charge of 2.3–2.4 e₀. To give a physical interpretation to these results and to relate them to the known atomic structure of the voltage sensor domain, we used a Brownian model of voltage-dependent gating based on atomic detail structure, that follows the laws of electrodynamics. The model predicts gating currents and gating current fluctuations essentially similar to those experimentally observed. The detailed study of the model output, also performed by making several simplifications aimed at understanding the basic dependencies of the gating current fluctuations, suggests that in real channels the voltage sensor moves along a sequence of intermediate states separated by relatively low (<5 kT) energy barriers. As a consequence, crossings of successive gating charges through the gating pore become very frequent, and the corresponding current shots are often seen to overlap because of the relatively high filtering. Notably, this limited bandwidth effect is at the origin of the relatively high single-step charge experimentally detected.     

Variability of neurotransmitter concentration and nonsaturation of postsynaptic AMPA receptors at synapses in hippocampal cultures and slices

To understand the elementary unit of synaptic communication between CNS neurons, one must know what causes the variability of quantal postsynaptic currents and whether unitary packets of transmitter saturate postsynaptic receptors. We studied single excitatory synapses between hippocampal neurons in culture. Focal glutamate application at individual postsynaptic sites evoked currents (I(glu)) with little variability compared with quantal excitatory postsynaptic currents (EPSCs). The maximal I(glu) was >2-fold larger than the median EPSC. Thus, variations in [glu]cleft are the main source of variability in EPSC size, and glutamate receptors are generally far from saturation during quantal transmission. This conclusion was verified by molecular antagonism experiments in hippocampal cultures and slices. The general lack of glutamate receptor saturation leaves room for increases in [glu]cleft as a mechanism for synaptic plasticity.     

Whole-cell voltage clamp and intracellular perfusion technique on single smooth muscle cells

Using freshly isolated single smooth muscle cells prepared by collegenase treatment, membrane currents were recorded by whole-cell voltage clamp. Intracellular constituents were modified by using an intracellular perfusion technique, i.e., pipette solutions were continuously exchanged from control to test solutions during current recording. In smooth muscle cells, intracellular application of ATP, but not cyclic AMP, enchanced the amplitude of Ca²⁺ currents and prevented current run-down. In addition, with this stabilization of Ca²⁺ current recording by ATP, introduction of various chemicals into the cell using the intracellular perfusion technique is useful for investigations of regulation of ion channels in smooth muscle cells.     

Estimating the synaptic current in a multiconductance AMPA receptor model

Synaptic transmission starts after the presynaptic neuron has released diffusing neurotransmitters, leading to postsynaptic receptor activation and a postsynaptic current, mostly mediated by glutamatergic (AMPARs) receptors for excitatory neurons. Despite intense experimental and theoretical research, it is still unclear how factors such as the synaptic cleft geometry, the organization, the number and the multiconductance state of receptors, the geometry of postsynaptic density (PSD), and the neurotransmitter release location, shape the mean and the variance of the postsynaptic current and its plastic changes. To estimate the synaptic current amplitude and to account for the stochastic nature of synaptic transmission, we develop a semianalytical method in which we obtain a general expression for the coefficient of variation. The method uses the experimental data about the multiconductance channels. We find that PSD morphological changes can significantly modulate the synaptic current, which is maximally reliable (the coefficient of variation is minimal) for an optimal size of the PSD, that depends on the vesicular release active zone. We show that this optimal PSD size is due to nonlinear phenomena involving the receptor multibinding cooperativity. We conclude that changes in the PSD geometry can sustain a form of synaptic plasticity, independent of a change in the number of receptors.     

Extracellular pH Modulates the Voltage-dependent Ca2+ Current and Low Threshold K+ Current in Hair Cells

Extracellular protons have been shown to modulate voltage-activated ionic channels. It has been proposed that synaptic modulation by exocytosed vesicular protons would be a characteristic feature of ribbon-type synapses. Type-I hair cells have a calyceal afferent junction with a diffusionally restricted synaptic cleft. These led us to study the action of extracellular pH changes on the voltage-activated Ca²⁺ and K⁺ currents evaluated using a whole-cell patch clamp in isolated cells. The amplitude of the Ca²⁺ and the K⁺ current were reduced by extracellular acidification, but without significant changes with extracellular alkalization. A shift in the voltage dependence to a more positive membrane potential was achieved at pH < 6.8. Our results shows that the presynaptic K⁺ and Ca²⁺ currents are modulated by protons, indicating that protons released along with an afferent neurotransmitter would participate as a feedback mechanism in type-I hair cells. Special issue article in honor of Dr. Ricardo Tapia.     

Comparison of excitatory currents activated by different transmitters on crustacean muscle. I. Acetylcholine-activated channels

The properties of acetylcholine-activated excitatory currents on the gm1 muscle of three marine decapod crustaceans, the spiny lobsters Panulirus argus and interruptus, and the crab Cancer borealis, were examined using either noise analysis, analysis of synaptic current decays, or analysis of the voltage dependence of ionophoretically activated cholinergic conductance increases. The apparent mean channel open time (tau n) obtained from noise analysis at -80 mV and 12 degrees C was approximately 13 ms; tau n was prolonged e-fold for about every 100-mV hyperpolarization in membrane potential; tau n was prolonged e- fold for every 10 degrees C decrease in temperature. Gamma, the single- channel conductance, at 12 degrees C was approximately 18 pS and was not affected by voltage; gamma was increased approximately 2.5-fold for every 10 degrees C increase in temperature. Synaptic currents decayed with a single exponential time course, and at -80 mV and 12 degrees C, the time constant of decay of synaptic currents, tau ejc, was approximately 14-15 ms and was prolonged e-fold about every 140-mV hyperpolarization; tau ejc was prolonged about e-fold for every 10 degrees C decrease in temperature. The voltage dependence of the amplitude of steady-state cholinergic currents suggests that the total conductance increase produced by cholinergic agonists is increased with hyperpolarization. Compared with glutamate channels found on similar decapod muscles (see the following article), the acetylcholine channels stay open longer, conduct ions more slowly, and are more sensitive to changes in the membrane potential.     

Purified IP3 receptor from smooth muscle forms an IP3 gated and heparin sensitive Ca2+ channel in planar bilayers.

The IP3 receptor of aortic smooth muscle, purified to near homogeneity, was incorporated into vesicle derived planar bilayers. The receptor forms channels which are gated by Ins(1,4,5)P3 (0.5 microM) and are permeable to Ca2+ (Ca2+ greater than K+ much greater than Cl-). Channel activation is specific for Ins(1,4,5)P3. Essentially no activation of channel currents was found for Ins(1,3,4)P3 or Ins(1,3,4,5)P4 at 10 microM. Heparin (25 micrograms/ml) blocked induced currents completely at all levels of activity while ATP (50 microM) increased mean current levels 2 to 4 fold. Ins(1,4,5)P3 activated mean currents increased non-linearly with voltage above about -40 mV applied voltage. Mean current levels could be reversibly adjusted by voltage to the single channel level (0 to -50 mV) or to macroscopic levels (-50 to -100 mV) over periods exceeding 1 h. Single channel events are characterized by fast transitions between predominantly non-resolved sublevels. Estimates of maximal single event currents yield a slope conductance of 32 +/- 4 pS (0 to -60 mV, 50 mM CaCl2). Thus, the purified IP3 receptor forms a channel with functional properties characteristic of IP3 triggered Ca2+ release.     

Dynamic modification of dendritic cable properties and synaptic transmission by voltage-gated potassium channels

Computer simulations of a dendrite possessing voltage-sensitive potassium conductances were used to determine the effects of these conductances on synaptic transmission and on the propagation of synaptic signals within the dendritic tree. Potassium conductances had two principal effects on voltage transients generated by current injections or synaptic conductances. Locally (near the source of the transient), voltage-gated potassium channels produced a potassium shunt current that reduced the amplitude of voltage transients generated by depolarizing currents. This shunt current increased as the amplitude of the depolarizing transient increased and so acted to prevent large synaptic transients from reaching levels that would saturate due to a reduction in driving force. In the presence of rapidly activating potassium currents, excitatory synapses produced larger synaptic currents that were more linearly related to synaptic conductance, but these produced smaller voltage transients. The maximum amplitudes of the voltage transients were limited by the voltage sensitivity of the K⁺ conductance and the rate at which it could activate. Sufficiently rapid synaptic currents could outrun the K⁺ conductance and thus achieve high local peak amplitudes. These effects of K⁺ conductances were unrelated to whether they were located on dendrites or not, being related only to their proximity to the source of synaptic current. The second class of effects of K⁺ conductances depended on their alteration of the electrotonic structure of the postsynaptic cell and so were observed only when they were located on postsynaptic dendrites. Voltage-gated K⁺ conductances produced voltage-dependent electrotonic expansion of depolarized dendrites, which had the effect of isolating synaptic inputs on depolarized dendrites from events on the rest of the neuron. Thus, synapses on the same dendrite interacted destructively to a degree much greater than that expected from the classical driving force nonlinearity. Synapses located proximally to a depolarized dendritic region were less effected than those located distally, and the range of the nonlinear interaction between synapses was dependent on the kinetics of activation and deactivation of the conductance. When present in conjunction with rapidly activating dendritic sodium conductance, the potassium conductance sharpened the requirement for spatial and temporal coincidence to produce synaptic boosting by inward currents, and suppressed out-of-synchrony synaptic inputs.     

Bilateral processing in chemical synapses with electrical 'ephaptic' feedback: a theoretical model

I have developed a detailed biophysical model of the chemical synapse which hosts voltage-dependent presynaptic ion channels and takes into account the capacitance of synaptic membranes. I find that at synapses with a relatively large cleft resistance (e.g., mossy fiber or giant calyx synapse) the rising postsynaptic current could activate, within the synaptic cleft, electrochemical phenomena that induce rapid widening of the presynaptic action potential (AP). This mechanism could boost fast Ca(2+) entry into the terminal thus increasing the probability of subsequent synaptic releases. The predicted difference in the AP waveforms generated inside and outside the synapse can explain the previously unexplained fast capacitance transient recorded in the postsynaptic cell at the giant calyx synapse. I propose therefore the mechanism of positive ephaptic feedback that acts between the postsynaptic and presynaptic cell contributing to the basal synaptic transmission at large central synapses. This mechanism could also explain the supralinear voltage dependence of EPSCs recorded at hyperpolarizing membrane potentials in low extracellular calcium concentration.     

Phosphorylation modulates the voltage dependence of channels reconstituted from the major intrinsic protein of lens fiber membranes

Summary Major intrinsic polypeptide (MIP), a 28-kDa protein isolated from lens fiber cell membranes, forms large, nonselective channels when reconstituted into lipid bilayers. MIP channels are regulated by voltage, such that these channels close when the potential across the membrane is greater than 30 mV. We have investigated the modulation of the voltage-dependent closure of MIP channels by phosphorylation. In this report, we describe the isolation of two isomers of MIP from lens fiber cell membranes. These isomers differ by a single phosphate at a protein kinase A phosphorylation site. The phosphorylated isomer produces channels that close in response to applied voltages when reconstituted into bilayers. The nonphosphorylated isomer produces voltage-independent hannels. Direct phosphorylation with protein kinase A converts voltage-independent channels to voltage-dependent channels in situ. Analyses of macroscopic and single channel currents suggest that phosphorylation increases the voltage-dependent closure of MIP channels by increasing closed channel lifetimes and the rate of channel closure following the application of voltage.The authors gratefully acknowledge the gift of the monoclonal antibody to MIP from Drs. David Paul and Dan Goodenough. We thank Dr. Irwin Levitan for the kind gift of purified protein kinase A catalytic subunit. We also thank Ms. Mary Hawley for invaluable technical support and Mr. Paul Ross for help in generating Fig. 10. This work was supported, in part, by NIH grants EY04110 and EY05661 and a NEI postdoctoral fellowship to GRE.     

Neutralizing aspartate 83 modifies substrate translocation of excitatory amino acid transporter 3 (EAAT3) glutamate transporters

Excitatory amino acid transporters (EAATs) terminate glutamatergic synaptic transmission by removing glutamate from the synaptic cleft into neuronal and glial cells. EAATs are not only secondary active glutamate transporters but also function as anion channels. Gating of EAAT anion channels is tightly coupled to transitions within the glutamate uptake cycle, resulting in Na(+)- and glutamate-dependent anion currents. A point mutation neutralizing a conserved aspartic acid within the intracellular loop close to the end of transmembrane domain 2 was recently shown to modify the substrate dependence of EAAT anion currents. To distinguish whether this mutation affects transitions within the uptake cycle or directly modifies the opening/closing of the anion channel, we used voltage clamp fluorometry. Using three different sites for fluorophore attachment, V120C, M205C, and A430C, we observed time-, voltage-, and substrate-dependent alterations of EAAT3 fluorescence intensities. The voltage and substrate dependence of fluorescence intensities can be described by a 15-state model of the transport cycle in which several states are connected to branching anion channel states. D83A-mediated changes of fluorescence intensities, anion currents, and secondary active transport can be explained by exclusive modifications of substrate translocation rates. In contrast, sole modification of anion channel opening and closing is insufficient to account for all experimental data. We conclude that D83A has direct effects on the glutamate transport cycle and that these effects result in changed anion channel function.     

核磁共振磁场照射对子代大鼠海马突触形态的影响

研究观察了孕期磁共振磁场照射对子代大鼠海马突触超微结构的影响。SD孕鼠妊娠第12-18d给予0．35T核磁共振(magnetic resonance imaging,MRI)磁场照射。测量1、2和5月龄雌性仔鼠海马CAl区和齿状回的突触结构参数,用立体计量学方法进行定量测定。结果显示,磁场照射可引起2月龄子代大鼠海马CAl区突触间隙增宽．齿状回突触活性区长度变短、突触界面曲率和活性区面密度减小;5月龄子代大鼠CAl区突触间隙增宽,突触后致密物变薄,突触界面曲率减小,齿状回突触间隙增宽。结果提示,妊娠期接受MRI磁场照射可引起海马突触超微结构的改变。对这些结构变化与行为损害之间的关系进行了讨论。     

A voltage clamp study of the glutamate responsive neuromuscular junction in Drosophila melanogaster

The point and single electrode voltage clamp methods have been used to study the characteristics of junctional currents in Drosophila melanogaster larvae muscle fibers and the modulation of these currents by excitatory amino acids, short and long chain n-alkanols, and pentobarbital. The decay phase of junctional currents in Drosophila was found to be dominated by cooperativity in transmitter binding associated with reverberation, that is, repeated binding of transmitter with receptors as the transmitter molecules diffuse away from the active region. The current decay does not directly reflect the closure of ion channels and is qualitatively similar to the decay of miniature end-plate currents at the mouse neuromuscular junction after poisoning of acetylcholinesterase by paraoxon. In Drosophila an increase in membrane hyperpolarization both slows the time course of current decay and increases the degree of reverberation. The application of excitatory amino acids including glutamate, N-methyl-D-aspartate, quisqualate, and kainate causes a significant decrease in the amplitude of the junctional currents, a prolongation of the decay time course, and a reduction in reverberation of transmitter. The height of junctional currents is also diminished by the n-alkanols ethanol, pentanol, and octanol and by the barbiturate pentobarbital; ethanol also hastened the time course of decay of the currents.