Neuroscience Research 52 (2005) 362–370 www.elsevier.com/locate/neures A parametric assessment of GABA antagonist effects on paired-pulse facilitation in the rat anterior cingulate cortex Sergiy O. Sylantyev b, Chia-Ming Lee a, Bai-Chuang Shyu a,* a Institute of Biomedical Sciences, Academia Sinica, Taipei 11529, Taiwan, ROC b JCSMR, Australian National University, Canberra, ACT 2600, Australia Received 19 January 2005; accepted 28 April 2005 Available online 4 June 2005 Abstract Paired-pulse facilitation (PPF) is a form of short-term plasticity that can be used qualitatively to characterize the synaptic effects of neuroactive compounds. As we have shown previously, CNQX has a marked effect on PPF which can be measured quantitatively. The aim of the present study was to examine quantitatively possible differences in the effects of the post- and pre-synaptic GABA antagonists on PPF in vitro. Experiments were performed on slices taken from the coronal anterior cingulate cortex (ACC) of Sprague-Dawley rats. The stimuli consisted of a pair of biphasic pulses with an inter-pulse interval of 40 ms. Evoked extracellular field potentials in layers 2/3 of the ACC were recorded. Quantitative assessment of PPF was achieved by calculating two parameters, the PPFmax (theoretical maximal PPF) and the Stmax (stimulus intensity that produces the PPFmax). Picrotoxin treatment produced increases in both the PPFmax and Stmax, by increasing the stimulus producing the half-maximal effect. In contrast, CGP-55845 treatment produced an increase in only the PPFmax, which was due to an alteration in the asymptotic values of the response amplitudes. Our findings show that the effect of different GABA receptor antagonists on short-term synaptic facilitation in the ACC may be assessed and specified quantitatively. # 2005 Elsevier Ireland Ltd and the Japan Neuroscience Society. All rights reserved. Keywords: Short term plasticity; GABAA receptor; GABAB receptor; Picrotoxin; CGP-55845 1. Introduction Synaptic strength is dynamic and variable and is dependent upon specific input patterns and a cell’s history, and this adaptability is known as synaptic plasticity. Shortterm plasticity (STP), in the milliseconds to minutes range, is important, as it allows neurons to produce an appropriate output in response to acute changes in synaptic activity. Paired-pulse facilitation (PPF) is a physiological phenomenon associated with STP, in which a preceding stimulus enhances a subsequent response of the synaptic structures. PPF values are dependent on a number of pre-synaptic factors (Sippy et al., 2003; Zucker and Regehr, 2002) and post-synaptic factors (Li and Hatton, 2000; Wang and Kelly, 1997). * Corresponding author. Tel.: +886 2 2652 3915; fax: +886 2 2782 9224. E-mail address: bmbai@gate.sinica.edu.tw (B.-C. Shyu). The characteristics of PPF can be used to differentiate the synaptic mechanisms underlying the effects of different neuroactive compounds (Fitzpatrick et al., 2001) or to differentiate among different types of neurons (Rozov et al., 2001; Thomson, 1997). In addition, STP, in particular PPF, has been used to characterize excitatory post-synaptic potentials (EPSPs) evoked in polysynaptic circuitry (Gonzales-Burgos et al., 2000; Shin et al., 2001). In these studies, STP has often been assessed by the field potentials generated in vivo or in vitro in the corresponding brain area (Gilbert, 2003; Roder et al., 2003; Shin et al., 2001). However, polysynaptically generated STP, as revealed by extracellularly recorded field potentials, is not simply the algebraic sum of the effects of single synapses in a given area and cannot be completely described in the same manner as the STP at a single synapse or in a single cell (Kirischuk et al., 2002; Rozov et al., 2001; Zucker and Regehr, 2002). Thus a description of PPF requires a special model that can 0168-0102/$ – see front matter # 2005 Elsevier Ireland Ltd and the Japan Neuroscience Society. All rights reserved. doi:10.1016/j.neures.2005.04.009 S.O. Sylantyev et al. / Neuroscience Research 52 (2005) 362–370 quantitatively assess the PPF of field potentials in a brain area of interest which contains any specified type of receptor. In our recent in vivo study (Kung and Shyu, 2002), we used PPF to characterize synaptic plasticity in the anterior cingulate cortex (ACC). The excitatory changes were assessed by evoked field potentials recorded from the layer II/III which received afferents projections from the medial dorsal thalamic nucleus through AMPA receptors (Wang and Shyu, 2004; Pirot et al., 1994). The anatomical findings indicate that the GABAergic interneurons have prominent modulatory effect on this excitatory circuitry (Kuroda et al., 2004). A recently developed method for the quantitative prediction of polysynaptic PPF as a function of stimulus intensity uses an analysis of the effects of 6-cyano-7nitroquinoxline-2,3-dione disodium (CNQX) on STP in the ACC slice (Sylantyev et al., 2004). CNQX was found to affect the area under the curve for a plot of PPF versus stimulation by changing the values of the parameter K (the voltage causing a half-maximal response). Thus, a reliable model based on features of the ligand–receptor interaction can be empirically established. An electrophysiological study of the cellular mechanism of cortical STP demonstrated the involvement of GABA receptors (Castro-Alamancos and Connors, 1996). However, there is essentially no information on the involvement of GABA receptor systems in polysynaptic plasticity functions in the ACC. GABAA and GABAB receptor ligands are known to be involved in memory formation in the CNS (Maubach, 2003; Zarrindast et al., 2004). GABAA receptors form membrane channels (ionotropic receptors) and their activation leads to an increased permeability to chloride ions. GABAB receptors belong to the G protein-coupled (metabotropic) family of receptors and are located presynaptically. They can modify the pre-synaptic activity of the enzyme adenylate cyclase, suppress transmitter release by directly inhibiting Ca2+ channels, or hyperpolarize postsynaptic cells by directly activating K+ channels (Farrant, 2001). Several studies have qualitatively characterized the action of neuroreceptor systems and their ligands, particularly GABAA and GABAB receptor ligands (Albertson et al., 1996; Kombian et al., 1996; Maksay et al., 2003). Since the mechanisms of action of GABAA and GABAB receptors are principally different, thus knowledge of qualitative and/or quantitative differences in the effects of these two types of receptors on PPF of field potentials is important for elucidating the mechanisms of PPF and for predicting features of PPF in the ACC. The ACC is an essential component in mediating the effects of pain and anxiety (Bishop et al., 2004; Johansen and Fields, 2004). Likewise, GABA receptors play an important role in the regulation of pain and anxiety (Farrant, 2001). In addition to the effects of GABA receptors, changes in PPF can also be used in studies of anxiety (ShinnickGallagher et al., 2003). Thus, understanding the mechanisms of GABA receptor involvement in the regulation of PPF in 363 the ACC may provide critical information for studies of anxiety and pain processes. The aim of our study was to identify differences between the qualitative and quantitative parameters of PPF in the ACC caused by both pre- and post-synaptic mechanisms which would allow the generation of a model independent of the receptors and ligands involved. In that case both pre- and post-synaptic effects in individual synapses can be considered as impulses that affect conditions of neuronal circuitry. These differences were used to examine the possible input of both pre- and post-synaptic structures into the formation of the PPF. This study of the effects of GABAA and GABAB receptor ligands on PPF in the ACC is based on our previously developed experimental model (Sylantyev et al., 2004). We have shown some parameters that can be used for the PPF quantitative assessment: (1) area under curve of PPF, (2) maximum possible value of PPF (PPFmax) which can be caused by extrinsic agent, and (3) stimulus which provokes maximum possible value of PPF (Stmax). According to algebraic properties of possible types of PPF curves, PPFmax and Stmax can be used in specific cases which present extremum in stimulus–PPF relationship and the physiological meaning of these two parameters is more clear than the meaning of ‘‘area under curve’’. Therefore we used them for quantitative assessment of GABA influence on PPF in the present study. 2. Materials and methods 2.1. Slice preparation Experiments were performed on coronal ACC slices from 3- to 6-week-old Sprague-Dawley rats. The animals were rapidly decapitated under halothane (3% in O2) anesthesia, then the brain was rapidly transferred to an ice-cold bath of artificial cerebrospinal fluid (aCSF, composition in mM: NaCl 124, KCl 4.4, NaH2PO3 1, MgSO4 2, CaCl2 2, NaHCO3 25, glucose 10) continuously bubbled with a 95% O2/5% CO2 gas mixture (pH 7.44). Coronal slices (300 mm thick) of the frontal cortex were prepared using a microslicer (DTK 3000, D.S.K., Osaka, Japan) and transferred to oxygenated aCSF at room temperature. All experiments were carried out in accordance with the ‘‘Principles of laboratory animal care’’ (NIH publication No. 86-23, revised 1985) as well as the guidelines of the Academia Sinica Institutional Animal Care and Utilization Committee. All efforts were made to minimize animal discomfort and to use the minimal number of animals. 2.2. Electrophysiology After a 1 h preincubation, a slice was placed on the net in the submerged brain slice chamber at 28–32 8C and continuously perfused (2 ml/min) with aCSF. A silver wire was placed on the edge of the slice for mechanical stability. 364 S.O. Sylantyev et al. / Neuroscience Research 52 (2005) 362–370 Tungsten electrodes (0.005 inch, 5 MV, A-M Systems, Inc., USA) were used to record evoked field potentials in layers 2/3 of the ACC and the field potentials were amplified using an Axonclamp 2A amplifier (Axon Instruments, Inc., USA). The analog signals were sampled and digitized at 110 kHz using an A/D converter card (PCI-1202, ICPDAS Co. Ltd., Taiwan) with data acquisition software. Since the main direction of the ascending nerve fibers in the ACC is from layer 5 to layer 2/3 (Riedel et al.,2002) layer 2/3 was stimulated with a twisted pair of Teflon-coated stainless steel wires placed in layer 5. In all experiments, the stimuli consisted of a pair of 0.2 ms biphasic pulses generated by an isolated pulse stimulator (Model 2100, A-M Systems, Inc., USA) under software control. An inter-pulse interval of 40 ms was employed and paired electrical stimuli were delivered every 60 s. To obtain the full range of the ‘‘intensity–amplitude’’ relationship in the PPF study, a stimulation protocol from 0 to 10 V in ascending or descending increments of 0.5 Vorder was used. To test the linearity of the stimulus strength, non-synaptic antidromic responses were monitored following stimulation with voltages between 0.5 and 10 V. The relationship between the response and stimulus voltage was linear [correlation coefficient, r = 0.996, P = 2.2 106 (n = 19)], showing that the impedance from the tissue and electrode tip did not alter within this voltage range and that the stimulus strength used in the present study was a linear function of the voltage. This protocol was carried out in normal aCSF and in aCSF containing several concentrations of PTX or CGP-55845. The PPF versus V plots under the varying experimental conditions are reported as the ratio of the responses evoked by the paired stimuli in relation to the varying intensities. After completion of PTX testing, the slice was perfused with normal aCSF. Once application of PTX ceased, the amplitude of the field potentials normally returned to the same level as in the control conditions. If the amplitude did not recover, the data were excluded from analysis. However, it was very difficult to completely wash out the effect of CGP55845 (after 60–120 min of washing, the amplitude decreased by only 10–25%), in agreement with the observations of Buonomano and Merzenich (1998). Therefore the data were not excluded from the analysis if the decrease in the amplitude after washing was between 10% and 15%. 2.3. Solutions and drugs CGP-55845 and CNQX were purchased from Tocris Cooksin Ltd. (Ellisville, USA). PTX was purchased from Sigma Chemical Co. (St. Louis, MO, USA). CGP-55845 was added to aCSF from a 1 mM stock solution in DMSO. Neuronal responses in preliminary experiments using aCSF containing up to 0.5% DMSO did not differ from those with aCSF alone. Since the maximal concentration of DMSO in experiments using CGP-55845 was 0.1%, the effect of DMSO was ignored. CNQX and PTX were dissolved as 10 mM stock solutions in distilled water and added in small aliquots to the aCSF during experiments. 2.4. Data analysis The effects of the GABA receptor antagonists were normalized by dividing Aex (the amplitude of the response in the presence of different concentrations of antagonist) by Ac (the amplitude of the response at the same stimulus intensity in normal aCSF). The paired-pulse stimulation produced corresponding field potential responses, each consisting of a first and a second pulse. For each stimulation intensity, the Aex for the first response was normalized using the Ac for the first response, and the Aex for the second response was normalized using the Ac for the second response. Statistical analysis was performed using one-way analysis of variance (ANOVA) and Student’s t-test. The adequacy of the theoretical curves was examined using the x2-criterion. Statistical tests and nonlinear fitting were performed using Mathematica 4.2 software (Wolfram Research, Inc., Champaign, IL, USA). All data are presented as the mean S.E. (n = 6–16 for each point) and in all cases a P value of <0.05 was considered significant. 2.5. Modeling and quantitative assessment Similar quantitative assessment and modeling were used as in our recent work (Sylantyev et al., 2004). We here describe the previous method in brief, together with the presently applied modifications. The relationships between the ‘‘intensity of electrical stimulation’’ and the ‘‘amplitude of the response’’ can be described using the basic Eq. (1)— an analogue of Hill’s equation (Wu and Saggau, 1994): A¼ Am Stn þ1 K n þ Stn (1) where A is the normalized amplitude of the response, St the stimulus intensity (voltage), Am the asymptotic value of the amplitude, K the stimulus producing the half-maximal effect, and n is the Hill’s coefficient. The normalized value of the neuronal response in the presence of response-enhancing compounds (e.g. antagonists of inhibitory systems) cannot be less than 1 and the lower asymptote of the ‘‘intensity–amplitude’’ curve is at y = 1. For better congruence with experimental data, we added 1 to the classic Hill’s equation during nonlinear fitting—see Eq. (1). Using indexes 1 and 2 to indicate the values for the first or second response, respectively, PPF can be expressed as follows: n2 A2m St A2 K2n2 þStn2 þ 1 PPF ¼ ¼ A Stn1 1m A1 n1 n1 þ 1 (2) K1 þSt The values for n1, K1, and A1m and for n2, K2, and A2m were used as criteria for assessing changes after application of ligands. As we have shown previously, for types of PPF curves that express an extremum (maximum or minimum), two S.O. Sylantyev et al. / Neuroscience Research 52 (2005) 362–370 assessment parameters can be used, the PPFmax (theoretical maximal value of PPF) and the Stmax (stimulus intensity that produces the PPFmax) (Sylantyev et al., 2004). These indicators can be used to assess the effect of a concentration of a bioactive compound in pharmacological studies by changes in the values of the maximal or minimal effect, i.e., the values of the extremum points of the curve (Jenkinson, 1996; Webster, 2001). In order to define Stmax, we have to find a value of the stimulus which results in the first derivative of Eq. (2) being equal to zero, i.e., to solve the equation A2m Stn2 K2n2 þStn2 þ 1 0 A1m Stn1 K1n1 þStn1 þ1 ¼0 (3) Solution of Eq. (3) can give more than one root. In this case, we first have to choose a real root > 0, then, secondly, the largest of these real roots. To obtain the value of PPFmax, we have to substitute Stmax (calculated using Eq. (3)) into Eq. (2). 365 3. Results As shown in Fig. 1A, two negative peaks were evoked after each of the paired stimulation pulses, these being the field antidromic potential (fAP) and the field post-synaptic potential (fPSP) (Lee et al., 2003; Sylantyev et al., 2004). Only the fPSP was analyzed in the present study. Application of a high concentration of CNQX (5 mM) almost completely suppressed the fPSPs, indicating that they are of synaptic origin (Fig. 1A and B). Application of aCSF across a range of PTX concentrations showed that at 2–4 mM PTX treatment markedly increased the amplitudes of both the first and second response (Fig. 1C–E). The amplitude of the first and second responses increased with an increase in the applied voltage. These data revealed an ‘‘intensity–amplitude’’ relationship. As shown in Fig. 2, the theoretical fitted curves, derived using Eq. (1), showed good congruence with the experimental data for the first and second responses. From this nonlinear fitting, two sets of parameters, n1, K1, and A1m and Fig. 1. PPF evoked in aCSF in the presence of PTX or CGP-55845. Left panels: responses evoked by paired pulses in control aCSF (A) and after suppression of fPSP by 5 mM CNQX (B). In (A), the arrows indicate the fAP and fPSPs and the arrowheads indicate the stimulation artifacts of the first and second stimuli. Middle panels: responses evoked by paired pulses in control aCSF (C) or aCSF containing 2 mM PTX (D) or 4 mM PTX (E). Right panels: responses evoked by paired pulses in control aCSF (F) or aCSF containing 6 nM CGP-55845 (G) or 10 nM CGP-55845 (H). The single traces shown are typical of those obtained in experiments. 366 S.O. Sylantyev et al. / Neuroscience Research 52 (2005) 362–370 Fig. 2. Effects of stimulation intensity on the amplitude of the normalized first and second responses using paired-pulse stimulation in the presence of different PTX concentrations. The dotted and solid lines show the theoretical curves for the first and second responses, respectively. Both curves were fitted using Hill’s equation. The experimental values are shown as the mean S.E. (n = 6–11 for each curve). n2, K2, and A2m, for different PTX concentrations were obtained. One-way ANOVA showed a significant effect of the PTX concentration on the values of K1 and K2 in the ‘‘intensity–amplitude’’ relationship (for K1, F (4, 12) = 3.38, P < 0.05; for K2, F (4, 12) = 3.40, P < 0.05) (see Table 1), but not on the values of n1, n2, A1m, or A2m. The mean values for n1 and n2 were 1.9 0.42 and 2.6 0.34 (n = 16), respectively, while those for A1m and A2m were 2.8 0.32 and 2.9 0.2. (n = 16). At all PTX concentrations, the difference between K1 and K2 and that between n1 and n2 was statistically significant according to Student’s t-test. In all cases, K1 > K2 and n1 < n2. A set of parameters was obtained from the experimental data according to Eq. (1). The theoretical curves for the relationship ‘‘intensity–PPF’’ were constructed by fitting these parameters to Eq. (2). These curves showed a high congruence with the experimental data (Fig. 3). One-way ANOVA revealed that PTX effects are voltagedependent. Changing PTX concentration affected PPF values at stimulation intensities of 1, 2, 3, 6, and 8 V (F (4, 12) = 3.12, 3.16, 3.23, 3.22, and 3.25, respectively, P < 0.05 in all cases). Using 1–3 V stimulation, an increase in the PTX concentration resulted in a decrease in PPF Fig. 3. Relationship of PPF to stimulation intensity at different PTX concentrations. Nonlinear regression analysis was performed using the least-squares method with weight multipliers equal to 1/S.E. The experimental values are shown as the mean S.E. (n = 6–11 for each curve). values. However with 6 or 8 V stimulation, an increase in the PTX concentration resulted in an increase in PPF values. The influence of the PTX concentration on PPF at different stimulation intensities was assessed using the parameters Stmax and PPFmax. The Stmax and PPFmax values calculated using Eqs. (2) and (3) are shown in Table 1. Oneway ANOVA showed a significant effect of the PTX concentration on these two parameters in the ‘‘intensity– PPF’’ relationship (for Stmax: F (4, 12) = 3.13, P < 0.05; for PPFmax: F (4, 12) = 3.84, P < 0.05). Application of aCSF containing several concentrations of CGP-55845 showed an increase in response amplitude at concentrations 4 nM. Typical examples are shown in Fig. 1F–H. The response in the ‘‘intensity–amplitude’’ Table 1 Effect of PTX concentration on K1, K2, Stmax, and PPFmax for the ‘‘intensity–amplitude’’ and ‘‘intensity-PPF’’ relationships PTX concentration (mM) K1 K2 Stmax PPFmax 2 2.5 3 4 5 3.8 0.08 4.1 0.08 4.9 0.12 5.6 0.1 6.8 0.09 1.8 0.08 2.1 0.09 2.8 0.07 3.3 0.08 4.1 0.07 2.26 0.06 2.6 0.08 3.45 0.07 4.06 0.07 5.06 0.09 1.38 0.01 1.39 0.03 1.42 0.06 1.52 0.04 1.59 0.02 All data are shown as the mean S.E. (n = 6–11). Fig. 4. Effects of stimulation intensity changes on the amplitude of the normalized first and second responses using paired-pulse stimulation in the presence of different CGP-55845 concentrations. The dotted and solid lines show the theoretical curves for the first and second responses, respectively. Both curves were fitted using Hill’s equation. The experimental values are shown as the mean S.E. (n = 6–11 for each curve). S.O. Sylantyev et al. / Neuroscience Research 52 (2005) 362–370 367 Table 2 Effect of CGP-55845 concentration on Am1, Am2, Stmax, and PPFmax for the ‘‘intensity–amplitude’’ and ‘‘intensity-PPF’’ relationships CGP-55845 concentration (nM) Am1 Am2 Stmax PPFmax 4 6 8 10 12 0.15 0.02 0.16 0.03 0.25 0.01 0.34 0.01 0.48 0.02 0.16 0.01 0.19 0.01 0.255 0.02 0.37 0.03 0.5 0.01 5.03 0.08 5.47 0.14 4.74 0.15 4.9 0.12 5.07 0.18 1.04 0.09 1.05 0.03 1.06 0.04 1.09 0.01 1.15 0.01 All data are shown as the mean S.E. (n = 6–11). relationship plateaued at a stimulation intensity of 5 V (Fig. 4). CGP-55845 markedly increased the upper asymptote for both the first and second responses to the values represented, respectively, as A1m and A2m in Eqs. (1) and (2). Nonlinear fitting of the response values in the ‘‘intensity– amplitude’’ relationship according to Eq. (1) showed a good congruence with the experimental data (Fig. 4). From the nonlinear fitting, parameters n1, K1, and A1m and n2, K2, and A2m, ‘‘intensity–amplitude’’ curves were obtained for the CGP-55845. CGP-55845 concentration did not affect n1 and K1, nor n2 and K2 (one-way ANOVA, P > 0.05). Neither K1 and K2, nor n1 and n2 differed at any of the CGP-55845 concentrations tested (Student’s t-test, P > 0.05). The values of these constants were K1 = 2.18 0.15, K2 = 1.55 0.27, n1 = 2.2 0.22, and n2 = 2.38 0.9; and for all pairs of curves, K1 > K2 and n1 < n2. A1m and A2m values in the ‘‘intensity–amplitude’’ relationship were affected by CGP55845 concentration (one-way ANOVA for A1m, F (4, 11) = 4.09, P < 0.05; for A2m, F (4, 11) = 4.27, P < 0.05) (see Table 2). A set of parameters describing the ‘‘intensity–amplitude’’ relationship at different CGP-55845 concentrations was calculated using Eq. (1). The theoretical curves for the ‘‘intensity–PPF’’ relationship were constructed by fitting these parameters in Eq. (2). These theoretical curves showed a high congruence with the experimental data (Fig. 5). Fig. 5. Relationship of the PPF to stimulation intensity at different CGP55845 concentrations. Nonlinear regression analysis was performed using the least-squares method with weight multipliers equal to 1/S.E. The experimental values are shown as the mean S.E. (n = 6–11 for each curve). ‘‘Concentration–PPF’’ relationships were also constructed for the range of tested CGP-55845 concentrations. Although changes in CGP-55845 concentration had a marked effect on PPF at different stimulation intensities (Fig. 5), a statistically significant effect of CGP-55845 concentration on the PPF was only found at the stimulus intensities of 1, 1.5, 2, and 3 V (oneway ANOVA, F (4, 11) = 3.4, 3.56, 3.61, and 3.38, respectively; P < 0.05 in all cases). The effect of CGP-55845 concentration on PPF across the tested stimulation voltages was assessed using the Stmax and PPFmax; the values calculated using Eqs. (2) and (3) are shown in Table 2. CGP-55845 concentration was found to significantly effect PPFmax in the ‘‘intensity–PPF’’ relationship (one-way ANOVA, F (4, 11) = 3.39, P < 0.05), but not Stmax. The theoretical maximal values of PPFmax for the present experimental conditions in the presence of either PTX (1.59 0.02) or CGP-55845 (1.15 0.01) were also compared and the difference between them was found to be statistically significant (Student’s t-test, P < 0.01, n = 7). 4. Discussion In the present study, we showed that PTX and CGP55845 affect PPF in layer 2/3 ACC neurons. PTX increased both the Stmax and PPFmax by altering constant K in Eqs. (2) and (3), i.e., the stimulus that produces a half-maximal effect. In contrast, CGP-55845 did not affect the Stmax, but increased the PPFmax by altering the constant Am in Eqs. (2) and (3), i.e., the theoretical maximal value of the response amplitude. The maximal possible values of PPFmax which could be obtained in our experimental conditions were significantly different in the presence of PTX or CGP-55845 compared to the control. Though the general meaning of coefficient PPFmax is the value which characterizes maximum possible effectiveness of PPF, it also can be used in more special reasoning. Current approach to statistic analysis of PPF phenomenon of presynaptic origin is a binomial model of which neurotransmitters release from a pool of available quanta q with release probability p. The parameter q corresponds most closely to the number of release sites or active zones that contain clusters of vesicles, some of which appear docked near the pre-synaptic membrane immediately opposing post-synaptic receptors. Usually maximum possible value of q can be defined in experiment, but definition of p value is much more 368 S.O. Sylantyev et al. / Neuroscience Research 52 (2005) 362–370 complicated and can be varied depending on stimulus intensity (Mulkey and Zucker, 1993; Tang et al., 2000). Since PPF value is linearly dependent from difference between values q p after first and second stimulation, calculated theoretical value of PPFmax according to proposed algorithm can be used for finding of value of vesicle release probability in synapses. Physiological sense of Stmax in this case would be ‘‘the stimulus intensity causing maximum difference in vesicle release probability’’. In case of post-synaptic mechanism of PPF generation where antagonist protects post-synaptic receptors from occupation by neurotransmitters and desensitization after first pulse and relieves receptors for action before the second pulse, changes of PPF value are in direct relation with value of dissociation constant of the ‘‘receptor–antagonist’’ system in which dimension is ‘‘moles’’. It means that during the rising of antagonist concentration PPF will also raise only. Therefore the presence of extremum (particularly PPFmax) in fitted curve of ‘‘stimulus–PPF’’ relationship, where ‘‘stimulus’’ presented by different concentrations of post-synaptic receptor antagonist, means that PPF influenced not only by this post-synaptic receptor but also by other factors. In neurophysiological studies, changes in PPF are usually attributed to pre-synaptic mechanisms, mainly changes in the Ca2+ release probability (Christie and Abraham, 1994; Kuhnt and Voronin, 1994; Schulz et al., 1995; Turecek and Trussell, 2002). Changes in PPF are less often attributed to post-synaptic mechanisms (Li and Hatton, 2000; Sylantyev et al., 2004; Wang and Kelly, 1997). Our findings are consistent with a cellular mechanism of short-term synaptic facilitation that involves both pre- and post-synaptic GABA receptors in the ACC. As we observed that different features influence PPF, the important question remains of whether these differences are accounted for by the effect of these two specific ligands or whether they are a property of GABAA and GABAB receptors in general or pre- and post-synaptic mechanisms in general. PTX exerts its effects through post-synaptic mechanisms, involving the GABAA receptor system (Farrant, 2001). The present PTX-effects on PPF may be mediated via this postsynaptic inhibitory system in the ACC by the following mechanisms. At short intervals between pulses, synaptic plasticity processes increase the amount of transmitter released (Kirischuk et al., 2002). A brief pulse of GABA release can cause both saturation and desensitization of GABAA receptors, making them unresponsive to a second pulse of transmitter delivered a few milliseconds later (Jones and Westbrook, 1995). As GABA diffuses away, the number of unbound receptors increases, but due to receptor desensitization, full recovery of responsiveness takes >100 ms (Jones and Westbrook, 1995). The 40 ms time interval used here is consistent with a contribution of this GABAA receptor saturation and desensitization mediated mechanism to the observed PTX effects on PPF. In the extreme case of complete saturation, all GABAA receptors would be bound on the first pulse and none would be available for a second pulse within a sufficiently short interval, resulting in failure to evoke a second evoked inhibitory post-synaptic current (eIPSC). When an antagonist blocks a subset of GABAA receptors, GABA activates the available receptors, eliciting a reduced first eIPSC. However, if the dissociation rate of the antagonist is shorter than, or equal to, the time that GABA is present in the synaptic cleft (Clements et al., 1992), previously blocked, and not desensitized, receptors become available for a second GABA pulse. Thus, if an antagonist decreases the absolute value of the inhibitory effect, the ratio of the responses produced by inhibitory synapses will increase, i.e., after the second stimulus, inhibitory (hyperpolarization) effects on neuronal membranes in the stimulating area will be greater than after the first. Since the EPSPs registered during extracellular recordings represent the algebraic sum of inhibitory and excitatory potentials on neuronal membranes in the stimulated area, the described mechanism of the influence of GABAA receptors on PPF of EPSPs would lead to a decrease in PPF with an increase in the PTX concentration and an increase in the PPF with a decrease in the PTX concentration. Additionally, post-synaptic effects of GABAA receptors on PPF may be mediated through a change in the intrinsic membrane excitability triggered by inhibitory post-synaptic potential (IPSP)-induced hyperpolarization. As shown by Castro-Alamancos and Connors (1996) and Jung and Shin (2002), hyperpolarization of the neuronal membrane, induced by the GABAA inhibitory receptor system, can result in an increase in the second excitatory response during paired-pulse stimulation. In this case, PTX can also decrease PPF by a reducing the number of GABAA receptors available for IPSP-induced hyperpolarization. GABAA receptor agonists and antagonists can exert their effects through pre-synaptic, as well as post-synaptic, GABAA receptors (Belenky et al., 2003; Joy et al., 1995). Pre-synaptic GABAA receptors modulate receptor excitability via two general mechanisms, an effect on neurotransmitter release and changes in the quantitative parameters of Ca2+ influx into presynaptic boutons (Ruiz et al., 2003). Pre-synaptically acting GABAA receptor antagonists have been shown to increase synaptic excitability by augmenting Ca2+ influx after a single stimulus (Ruiz et al., 2003). Since a decrease in the Ca2+ influx probability in the synapse leads to augmentation of PPF (Oertner et al., 2002), it is possible that antagonists of presynaptic GABAA receptors can modify PPF via changes in the probability of Ca2+ influx. In this case, an increase in the antagonist concentration would lead to a decrease in PPF. Post-synaptic mechanisms putatively responsible for PTX-mediated changes in PPF can result in a negative relationship between the PTX concentration and PPF. These occurrences are characteristic of interactions between different neurons that can be recorded in extracellular field potential recording experiments. Two other factors may affect PPF under our experimental conditions. Firstly, because extracellular stimulation affects S.O. Sylantyev et al. / Neuroscience Research 52 (2005) 362–370 many neurons, cells with GABAA receptors may inhibit excitatory or inhibitory neurons during signal transmission from the stimulation site to the recording site. Secondly, as shown by Lamsa and Taira (2003), interneurons that act through GABAA receptors can be switched from inhibitory to excitatory action under some electrical stimulation conditions. This shift in interneuronal function is frequency-dependent, being most prominent in the 20–40 Hz activation range for GABAergic synapses. The 40 ms interpulse interval (i.e., 25 Hz) used in the present study is within the appropriate time course for this frequency-dependent shift mechanism to be involved. It is apparent that, under the influence of the two above factors, blockage of GABAA receptors can lead to different effects. In our experiments with a stimulus intensity of 1, 2, or 3 V, we found a positive relationship between PTX concentration and PPF, while, at 6 and 8 V, there was a negative relationship. This dissociation suggests that the observed effects of PTX on PPF in the ACC were exerted by an interaction of two or more of the above described mechanisms. If so, the direction of the relationship (positive or negative) would depend on the relative input of each contributing mechanism into the general PPF change, and the value of the inputs obtained from the contributing mechanisms would be voltage-dependent. In the present experiments, CGP-55845, a selective GABAB receptor ligand, had a pronounced excitatory effect. There is slight variation of the ‘‘intensity–PPF’’ relationship under the 6–8 nM dose. This deviation is due to the calculation of a ratio of relatively small and very close values. The general tendency is the increasing of PPF with an increase of the CGP at a fixed intensity. The two known subunits of the GABAB receptor are widely distributed throughout the mammalian central nervous system, the functional heterodimer GABAB receptor complex (Bowery and Enna, 2000) is not found in all parts of the brain (Jones et al., 1998). The present results indicate that, at least in the rat, the ACC contains the heterodimeric form of the GABAB receptor complex. In most cases, activation of GABAB receptors causes a decrease in the duration of orthodromic action potentials and in the influx of excitatory neurotransmitters. Both of these GABAB effects are believed to be mediated by an inhibition of Ca2+ influx into pre-synaptic terminals (Bowery and Enna, 2000). Changes in Ca2+ release probability lead to STP fluctuations, such that increases result in paired-pulse depression and decreases result in PPF. Thus CGP-55845-mediated increases in PPF eventually involve a reduction in the Ca2+ release probability. As a result of this process, long-lasting post-synaptic hyperpolarization can be produced (Crunelli and Leresche, 1991). Application of CGP-55845 may ultimately disinhibit the stimulated area and increase EPSPs via different processes, with the same initial mechanism. We have shown previously (Sylantyev et al., 2004) that under the same experimental conditions, the post-synaptic AMPA receptor ligand CNQX, like PTX in the present 369 study, changes the parameters of PPF by altering the electrical stimulus that produces the half-maximal effect. PTX acts on post-synaptic GABA receptors, whereas CGP55845 binds pre-synaptic GABA receptors, and the electrical current of a stimulus pulse manifests both preand post-synaptic effects (Wang and Kelly, 1997). Thus the differing effects of these drugs on PPF parameters appear to reflect a difference between the pre- and post-synaptic mechanisms. In our mathematical description of STP, we did not incorporate any properties of specific receptors and their ligands, such as the number of subunits and binding sites and possible cooperative facilitation/depression of ligand binding. Thus, it is possible to use this approach to describe PPF in areas in which receptors are present for different types of extrinsic influence, i.e., not only the effect of drugs, but also of electrical current, etc. The algorithm for the quantitative assessment of PPF was based on the described equations and can be used for different types of PPF modification. Acknowledgements The authors thank Dr. Vladimir G. 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