PARP-1 is required for retrieval of cocaine-associated memory by binding to the promoter of a novel gene encoding a putative transposase inhibitor.

Reward-related memory is an important factor in cocaine seeking. One necessary signaling mechanism for long-term memory formation is the activation of poly(ADP-ribose) polymerase-1 (PARP-1), via poly(ADP-ribosyl)ation. We demonstrate herein that auto-poly(ADP-ribosyl)ation of activated PARP-1 was significantly pronounced during retrieval of cocaine-associated contextual memory, in the central amygdala (CeA) of rats expressing cocaine-conditioned place preference (CPP). Intra-CeA pharmacological and short hairpin RNA depletion of PARP-1 activity during cocaine-associated memory retrieval abolished CPP. In contrast, PARP-1 inhibition after memory retrieval did not affect CPP reconsolidation process and subsequent retrievals. Chromatin immunoprecipitation sequencing revealed that PARP-1 binding in the CeA is highly enriched in genes involved in neuronal signaling. We identified among PARP targets in CeA a single gene, yet uncharacterized and encoding a putative transposase inhibitor, at which PARP-1 enrichment markedly increases during cocaine-associated memory retrieval and positively correlates with CPP. Our findings have important implications for understanding drug-related behaviors, and suggest possible future therapeutic targets for drug abuse.

A PARP1-Erk2 synergism is required for stimulation-induced expression of immediate early genes.

A PARP1-Erk2 synergism was required to generate synaptic long-term potentiation in the CA3-CA1 hippocampal connections. This molecular mechanism was associated with the recently identified pivotal role of polyADP-ribosylation in learning. High frequency electrical stimulation of cortical and hippocampal neurons induced binding of phosphorylated Erk2 (transported into the nucleus) to the nuclear protein PARP1. PARP1-Erk2 binding induced PARP1 activation and polyADP-ribosylation of its prominent substrate, linker histone H1. A facilitated access of PARP1-bound phosphorylated Erk2 to its substrates, transcription factors Elk1 and CREB was attributed to the release of polyADP-ribosylated H1 from the DNA, causing local DNA relaxation. Erk-induced phosphorylation of transcription factors activating the HAT activity of CBP (CREB binding protein), recruited acetylated histone H4 to the promoters of immediate early genes (IEG) cfos, zif268 and arc, which are implicated in synaptic plasticity. In accordance, their induced expression was suppressed after PARP1 genetic deletion in PARP1-KO mice, or after PARP1 inhibition or silencing. Moreover, under these conditions, long-term synaptic potentiation (LTP) (indicating synaptic plasticity) was not generation in the hippocampal CA3-CA1 connections, and learning abilities were impaired. Furthermore, both IEG expression and LTP generation failed when cerebral neurons accumulated single strand DNA breaks, due to a predominant binding of PARP1 to nicked DNA, occluding its Erk binding sites. Thus, a declined synaptic plasticity is anticipated when aged cerebral neurons accumulate DNA single-strand breaks during life span.

A PARP1-ERK2 synergism is required for the induction of LTP.

Unexpectedly, a post-translational modification of DNA-binding proteins, initiating the cell response to single-strand DNA damage, was also required for long-term memory acquisition in a variety of learning paradigms. Our findings disclose a molecular mechanism based on PARP1-Erk synergism, which may underlie this phenomenon. A stimulation induced PARP1 binding to phosphorylated Erk2 in the chromatin of cerebral neurons caused Erk-induced PARP1 activation, rendering transcription factors and promoters of immediate early genes (IEG) accessible to PARP1-bound phosphorylated Erk2. Thus, Erk-induced PARP1 activation mediated IEG expression implicated in long-term memory. PARP1 inhibition, silencing, or genetic deletion abrogated stimulation-induced Erk-recruitment to IEG promoters, gene expression and LTP generation in hippocampal CA3-CA1-connections. Moreover, a predominant binding of PARP1 to single-strand DNA breaks, occluding its Erk binding sites, suppressed IEG expression and prevented the generation of LTP. These findings outline a PARP1-dependent mechanism required for LTP generation, which may be implicated in long-term memory acquisition and in its deterioration in senescence.

Erythropoietin-driven signalling and cell migration mediated by polyADP-ribosylation.

BACKGROUND: Recombinant human erythropoietin (EPO) is the leading biotechnology engineered hormone for treatment of anaemia associated with chronic conditions including kidney failure and cancer. The finding of EPO receptors on cancer cells has raised the concern that in addition to its action in erythropoiesis, EPO may promote tumour cell growth. We questioned whether EPO-induced signalling and consequent malignant cell manifestation is mediated by polyADP-ribosylation. METHODS: Erythropoietin-mediated PARP (polyADP-ribose polymerase-1) activation, gene expression and core histone H4 acetylation were examined in UT7 cells, using western blot analysis, RT-PCR and immunofluorescence. Erythropoietin-driven migration of the human breast epithelial cell line MDA-MB-435 was determined by the scratch assay and in migration chambers. RESULTS: We have found that EPO treatment induced PARP activation. Moreover, EPO-driven c-fos and Egr-1 gene expression as well as histone H4 acetylation were mediated via polyADP-ribosylation. Erythropoietin-induced cell migration was blocked by the PARP inhibitor, ABT-888, indicating an essential role for polyADP-ribosylation in this process. CONCLUSIONS: We have identified a novel pathway by which EPO-induced gene expression and breast cancer cell migration are regulated by polyADP-ribosylation. This study introduces new possibilities regarding EPO treatment for cancer-associated anaemia where combining systemic EPO treatment with targeted administration of PARP inhibitors to the tumour may allow safe treatment with EPO, minimising its possible undesirable proliferative effects on the tumour.

A fast signal-induced activation of Poly(ADP-ribose) polymerase: a novel downstream target of phospholipase c.

We present the first evidence for a fast activation of the nuclear protein poly(ADP-ribose) polymerase (PARP) by signals evoked in the cell membrane, constituting a novel mode of signaling to the cell nucleus. PARP, an abundant, highly conserved, chromatin-bound protein found only in eukaryotes, exclusively catalyzes polyADP-ribosylation of DNA-binding proteins, thereby modulating their activity. Activation of PARP, reportedly induced by formation of DNA breaks, is involved in DNA transcription, replication, and repair. Our findings demonstrate an alternative mechanism: a fast activation of PARP, evoked by inositol 1,4,5,-trisphosphate-Ca(2+) mobilization, that does not involve DNA breaks. These findings identify PARP as a novel downstream target of phospholipase C, and unveil a novel fast signal-induced modification of DNA-binding proteins by polyADP-ribosylation.

Antiphospholipid antibodies permeabilize and depolarize brain synaptoneurosomes.

Antiphospholipid antibodies (aPL) are associated with neurological diseases such as stroke, migraine, epilepsy and dementia and are thus associated with both vascular and non-vascular neurological disease. We have therefore examined the possibility that these antibodies interact directly with neuronal tissue by studying the electrophysiological effects of aPL on a brain synaptosoneurosome preparation. IgG from patients with high levels of aPL and neurological involvement was purified by protein-G affinity chromatography as was control IgG pooled from ten sera with low levels of aPL. Synaptoneurosomes were purified from perfused rat brain stem. IgG from the patient with the highest level of aPL at a concentration equivalent to 1:5 serum dilution caused significant depolarization of the synaptoneurosomes as determined by accumulation of the lipophylic cation [3H]-tetraphenylphosphonium. IgG from this patient as well as IgG from two elderly patients with high levels of aPL were subsequently shown to permeabilize the synaptosomes to labeled nicotinamide adenine dinucleotide (NAD) and pertussis toxin-ADP-ribose transferase (PTX-A protein) as assayed by labeled ADP-ribosylation of G-proteins in the membranes. No such effects were seen with the control IgG. aPL may thus have the potential to disrupt neuronal function by direct action on nerve terminals. These results may explain some of the non-thromboembolic CNS manifestations of the antiphospholipid syndrome.

Activation of Go-proteins by membrane depolarization traced by in situ photoaffinity labeling of galphao-proteins with [alpha32P]GTP-azidoanilide.

Evidence for depolarization-induced activation of G-proteins in membranes of rat brain synaptoneurosomes has been previously reported (Cohen-Armon, M., and Sokolovsky, M. (1991) J. Biol. Chem. 266, 2595-2605; Cohen-Armon, M., and Sokolovsky, M. (1993) J. Biol. Chem. 268, 9824-9838). In the present work we identify the activated G-proteins as Go-proteins by tracing their depolarization-induced in situ photoaffinity labeling with [alpha32P]GTP-azidoanilide (GTPAA). Labeled GTPAA was introduced into transiently permeabilized rat brain-stem synaptoneurosomes. The resealed synaptoneurosomes, while being UV-irradiated, were depolarized. Relative to synaptoneurosomes at resting potential, the covalent binding of [alpha32P]GTPAA to Galphao1- and Galphao3-proteins, but not to Galphao2- isoforms, was enhanced by 5- to 7-fold in depolarized synaptoneurosomes, thereby implying an accelerated exchange of GDP for [alpha32P]GTPAA. Their depolarization-induced photoaffinity labeling was independent of stimulation of Go-protein-coupled receptors and could be reversed by membrane repolarization, thus excluding induction by transmitters release. It was, however, dependent on depolarization-induced activation of the voltage-gated sodium channels (VGSC), regardless of Na+ current. The alpha subunit of VGSC was cross-linked and co-immunoprecipitated with Galphao-proteins in depolarized brain-stem and cortical synaptoneurosomes. VGSC alpha subunit most efficiently cross-linked with guanosine 5'-O-2-thiodiphosphate-bound rather than to guanosine 5'-O-(3-thiotriphosphate)-bound Galphao-proteins in isolated synaptoneurosomal membranes. These findings support a possible involvement of VGSC in depolarization-induced activation of Go-proteins.

Evidence for endogenous ADP-ribosylation of GTP-binding proteins in neuronal cell nucleus. Possible induction by membrane depolarization.

GTP-binding protein(s) recognized by antibodies against the alpha-subunits of Gi- and Go-proteins were detected in crude nuclei isolated from rat brain stem and cortex. Immunohistochemical staining indicated that in the cortex these proteins are perinuclear, or are embedded in the nuclear membrane. Evidence is presented for an endogenous ADP-ribosylation of these proteins, which competes with their PTX-catalyzed ADP-ribosylation. The endogenous reaction has the characteristics of nonenzymatic ADP-ribosylation of cysteine residues, known to involve NAD-glycohydrolase activity. In vitro experiments showed that the alpha-subunit of Go-proteins in the cell membrane also acts as a substrate of this endogenous ADP-ribosylation. The in situ effect of membrane depolarization on the nuclear GTP-binding proteins may be attributable to their depolarization-induced endogenous ADP-ribosylation, suggesting a novel signaling mechanism in neuronal cells in the central nervous system.

Enhancing effect of ATP on intracellular adriamycin penetration in human ovarian cancer cell lines.

Ovarian cancer has the highest mortality rate of all gynecological malignancies probably due to the evolution of clones resistant to cytotoxic drugs. Exploring possibilities to overcome such resistance constitutes a challenge in this study. We present the effect of adenosine triphosphate (ATP), serving as a chemosensitizer, in combination with adriamycin on three human ovarian cancer cell lines of epithelial origin, OC-109, OC-238 and OC-7-NU, obtained from malignant ascites of different patients, and were proven to be tumorigenic in nude mice. The three lines differ in their sensitivity to the ATP-induced increase in adriamycin accumulation. FACS analysis showed a pronounced increase in intracellular adriamycin accumulation after treatment with various concentrations of ATP. In the OC-238 line, a 50.1% increase was observed at a low ATP concentration (200 microM), whereas higher concentrations (400 microM and 500 microM) were needed to obtain an increase in ADR accumulation of 30% with the other two lines. Our study demonstrates that ATP improves the penetration of adriamycin at the neoplastic cellular level. Furthermore, our results may indicate that intratumoral ATP may serve as an alternative chemosensitizer which lacks the deleterious side effects of other chemosensitizing options.

Evidence for involvement of the voltage-dependent Na+ channel gating in depolarization-induced activation of G-proteins.

Evidence for activation of pertussis-toxin-sensitive G-proteins by membrane depolarization in rat brainstem synaptoneurosomes was recently reported (Cohen-Armon, M., and Sokolovsky, M. (1991) J. Biol. Chem. 266, 2595-2605; (1991) Neurosci. Lett. 126, 87-90) and is further supported in this study by the observation that the depolarization-induced effect is inhibited when G-proteins are stabilized in the non-activated state with guanosine 5'-O-(2-thiodiphosphate) (GDP beta S), which was introduced into synaptoneurosomes during the process of permeabilization and resealing. In the present study, agents that either keep the voltage-dependent Na+ channel in persistently activated state (while Na+ currents are blocked) or prevent it from activation were used in an attempt to determine whether the voltage-dependent Na+ channels are involved in the depolarization-induced activation of pertussis-toxin-sensitive G-proteins. The main probe employed was the cardiotonic and antiarrhythmic agent DPI, which is a racemic mixture of two enantiomers, one of which (the R enantiomer) reportedly prevents depolarization-induced activation of the Na+ channel while the other (the S enantiomer) inhibits Na+ channel inactivation. The results suggest that while inactivation of the voltage-dependent Na+ channel does not interfere with the putative depolarization-induced activation of G-proteins, membrane depolarization affects G-proteins and the coupled muscarinic receptors only if the voltage-dependent Na+ channels are capable of being activated. Thus, inhibition of the depolarization-induced activation of Na+ channels was accompanied by inhibition of the depolarization-induced activation of pertussis-toxin-sensitive G-proteins and by modifications of both the coupling of G-proteins to muscarinic receptors and the ADP-ribosylation of Go-proteins. These effects could be counteracted by persistent activation of the voltage-dependent Na+ channels (while Na+ current was blocked). Our observations may suggest that the voltage-dependent Na+ channel gating is involved in the depolarization-induced activation of pertussis toxin-sensitive G-proteins and may provide evidence for a possible mechanism of membrane depolarization signal transduction in excitable cells.

Inhibition of pertussis toxin catalyzed ADP-ribosylation of G-proteins by membrane depolarization in rat brain synaptoneurosomes.

Rat brainstem synaptoneurosomes at resting and depolarization potentials were subjected to ADP-ribosylation in the presence of pertussis toxin (PTX). Subsequent [32P]ADP-ribosylation of synaptoneurosomal membranes revealed labeling of a 39-kDa protein band which reacted with antibodies to the alpha-subunit of G-proteins, mainly Go. ADP-ribosylation of the G-proteins was completely achieved in synaptoneurosomes at resting potential ( [K+] = 4.7 mM). In the depolarized synaptoneurosomes, however, the higher the membrane potential the lower the extent of ADP-ribosylation achieved (46% and 11% in K+ concentrations of 50 and 100 mM, respectively). A similar effect of membrane depolarization on PTX-catalyzed ADP-ribosylation was expressed in the functional coupling between G-protein activation and changes induced in the muscarinic receptor affinity. These findings may indicate a depolarization-induced inhibition of PTX-catalyzed ADP-ribosylation of G-proteins.

Depolarization-induced changes in the muscarinic receptor in rat brain and heart are mediated by pertussis-toxin-sensitive G-proteins.

Muscarinic receptor properties in rat cortical and brain stem synaptoneurosomes and in heart myocytes were examined at resting potential and at depolarization. Depolarization induced the conversion of agonist-binding sites of the receptor from a high to a low affinity state, which could be reversed by a return to resting potential. No effect was observed on the affinity of the receptor for antagonists. Pertussis-toxin (PTX)-catalyzed ADP-ribosylation of all substrates in both synaptoneurosomal and myocyte membranes, when conducted at resting potential, prevented depolarization-induced conversion of the receptor affinity in these preparations. The target substrates were identified by [32P]ADP-ribosylation of membranes prepared from brain stem synaptoneurosomes. Autoradiography revealed labeling of a 39-kDa protein band, which reacted mainly with antibodies to the alpha-subunit of Go-proteins. The possible involvement of G-proteins in depolarization-induced changes in the receptor activity was further investigated by examining the effect of membrane potential on the PTX-sensitive binding of di- and triphosphated guanine nucleotides to synaptoneurosomal membranes. Brain stem synaptoneurosomes were made permeable to guanine nucleotides ([3H]GTP, [3H]GDP, [3H]5'-guanylyl imidodiphosphate) by treatment with ATP. After the synaptoneurosomes had been loaded with labeled GTP/GDP, resealed, and then subjected to either resting potential of short depolarization, binding of [3H]GDP to the membranes of depolarized synaptoneurosomes was 4.0 +/- 0.3 (n = 20) times higher than to the membranes of synaptoneurosomes at resting potential. Repolarization reversed this effect. Enhancement of [3H]GDP binding to the synaptoneurosomal membranes was induced also by muscarinic activation, although the increase obtained was only 30-40% (n = 5) relative to [3H]GDP binding at resting potential. Both the depolarization-induced and the muscarinically-induced enhancement of [3H]GDP binding were prevented following PTX-catalyzed ADP-ribosylation of G-proteins in the synaptoneurosomal membrane. Our results suggest that the depolarization-induced enhancement in the binding of [3H]GTP/[3H]GDP may be attributable to activation of PTX-sensitive G-proteins, which mediate the depolarization-induced alteration of the affinity of the muscarinic receptor for agonists.

Modulation of the voltage-dependent sodium channel by agents affecting G-proteins: a study in Xenopus oocytes injected with brain RNA.

The effects of agents known to affect G-proteins on voltage-dependent, tetrodotoxin-sensitive Na+ channels were studied in Xenopus oocytes injected with rat brain RNA, using two-electrode voltage-clamp technique. The non-hydrolysable analogue of GTP, GTP-gamma-S, known to activate G-proteins, inhibited the Na+ current (INa). The decrease in the amplitude of INa was not accompanied by changes in activation or inactivation characteristics of the channel. The non-hydrolysable analogue of GDP, GDP-beta-S, had no effect on INa. The responses to gamma-aminobutyric acid and kainate in the same oocytes were also attenuated by GTP-gamma-S. Pertussis toxin, which inactivates some G-proteins by catalyzing their ADP-ribosylation, enhanced INa, but did not prevent the inhibition of INa by GTP-gamma-S. We conclude that the Na+ channel, and possibly the GABA and kainate receptors and/or channels, are coupled to a G-protein. The activation of the G-protein modulates the channels either directly, or via activation of biochemical cascade possibly involving production of second messengers and channel phosphorylation.

G-protein mediates voltage regulation of agonist binding to muscarinic receptors: effects on receptor-Na+ channel interaction.

Our previous experiments in membranes prepared from rat heart and brain led us to suggest that the binding of agonists to the muscarinic receptors and to the Na+ channels is a coupled event mediated by guanine nucleotide binding protein(s) [G-protein(s)]. These in vitro findings prompted us to employ synaptoneurosomes from brain stem tissue to examine (i) the binding properties of [3H]acetylcholine at resting potential and under depolarization conditions in the absence and presence of pertussis toxin; (ii) the binding of [3H]batrachotoxin to Na+ channel(s) in the presence of the muscarinic agonists; and (iii) muscarinically induced 22Na+ uptake in the presence and absence of tetrodotoxin, which blocks Na+ channels. Our findings indicate that agonist binding to muscarinic receptors is voltage dependent, that this process is mediated by G-protein(s), and that muscarinic agonists induce opening of Na+ channels. The latter process persists even after pertussis toxin treatment, indicating that it is not likely to be mediated by pertussis toxin sensitive G-protein(s). The system with its three interacting components--receptor, G-protein, and Na+ channel--is such that at resting potential the muscarinic receptor induces opening of Na+ channels; this property may provide a possible physiological mechanism for the depolarization stimulus necessary for autoexcitation or repetitive firing in heart or brain tissues.

Interactions between the muscarinic receptors, sodium channels, and guanine nucleotide-binding protein(s) in rat atria.

The effects of the voltage-sensitive sodium channel activator batrachotoxin (BTX) on the binding properties of muscarinic receptors were studied in homogenates of rat atria. Also studied were the effects of muscarinic ligands on the binding of tritium-labeled batrachotoxin ([3H]BTX) to the same preparation. BTX (1 microM), which induces an open state in sodium channels, enhanced the affinity of binding of several agonists to the muscarinic receptors. Analysis of the data indicated that the effect of BTX was to increase the affinity of the agonists toward the high-affinity sites. Binding of antagonists was not affected by BTX. At higher concentrations of toxin, the density of the high affinity muscarinic sites was also affected. The binding of agonists (but not of antagonists) to muscarinic receptors in turn enhanced the specific binding of [3H]BTX to sodium channels. These effects on the muscarinic receptors and on the sodium channels were inhibited in the presence of Gpp(NH)p at concentrations lower than those bringing about conversion of binding sites from the high affinity to the low affinity conformation. On the basis of these findings we suggest that the opening of sodium channels and the binding of agonists to muscarinic receptors in rat atrial membranes are coupled events which are mediated by guanine nucleotide-binding protein(s). Such a hypothesis is consistent with previously proposed models for signal transduction in the membrane.

Batrachotoxin changes the properties of the muscarinic receptor in rat brain and heart: possible interaction(s) between muscarinic receptors and sodium channels.

The effects of Na+-channel activator batrachotoxin (BTX) on the binding properties of muscarinic receptors in homogenates of rat brain and heart were studied. BTX enhanced the affinity for the binding of the agonists carbamoylcholine and acetylcholine to the muscarinic receptors in brainstem and ventricle, but not in the cerebral cortex. Analysis of the data according to a two-site model for agonist binding indicated that the effect of BTX was to increase the affinity of the agonists to the high-affinity site. Guanyl nucleotides, known to induce interconversion of high-affinity agonist binding sites to the low-affinity state, canceled the effect of BTX on carbamoylcholine and acetylcholine binding. BTX had no effect on the binding of the agonist oxotremorine or on the binding of the antagonist [3H]-N-methyl-4-piperidyl benzilate. The local anesthetics dibucaine and tetracaine antagonized the effect of BTX on the binding of muscarinic agonists at concentrations known to inhibit the activation of Na+ channels by BTX. On the basis of these findings, we propose that in specific tissues the muscarinic receptors may interact with the BTX binding site (Na+ channels).

Interactions of quinidine and lidocaine with rat brain and heart muscarinic receptors.

We have studied the effect of quinidine and lidocaine on binding to rat brain and cardiac muscarinic receptors. Both drugs had a higher affinity to brain stem and cardiac receptors, as compared with cerebral cortex, coinciding with the distribution of high-affinity agonist binding sites in the above tissues. The effects of the drugs on muscarinic antagonist and agonist binding did not fit simple competition to one receptor site, suggesting either preferential binding to high affinity agonist binding sites, or allosteric interactions. Batrachotoxin, which opens voltage sensitive sodium channels, had an opposite effect on agonist binding. The possibility of allosteric interactions between the muscarinic receptors and a site analogous to the sodium channel is discussed.

Interaction of the antiarrhythmic drug amiodarone with the muscarinic receptor in rat heart and brain.

The possible interaction between the muscarinic receptor and the antiarrythmic drug amiodarone was studied physiologically in the guinea pig ileum, as well as by competition binding experiments in rat brain and cardiac tissues, using the highly specific tritiated muscarinic antagonist N-methyl-4-piperidyl benzilate. In these studies, amiodarone was found to affect both antagonist and agonist binding to the muscarinic receptor. The drug's inhibitory effect on the binding of antagonist to cerebral cortex muscarinic receptors was consistent with mutually exclusive binding of the compounds [KI = (1.0 +/- 0.2)10(-5) M]. On the other hand, in the brain stem and in cardiac tissues (atrium and ventricle) the inhibitory effect on the binding of muscarinic antagonist could not be fitted to a simple model of competitive inhibition. The possible mode of interaction is discussed. Compared with its activity in the cerebral cortex, amiodarone was a more potent inhibitor of muscarinic antagonist binding in the brain stem and in the atrium and ventricle of the heart [apparent KI values were (6.5 +/- 0.1)10(-6), (4.0 +/- 0.1)10(-6), and (4.0 +/- 0.1)10(-6) M, respectively]. In view of the KI values and the serum concentration of amiodarone observed therapeutically (10(-6) M), the effect of amiodarone on the muscarinic system may have clinical relevance. In both the brain stem and the cardiac preparations, amiodarone converted sites that bind agonist with high affinity into low-affinity sites. Agonist binding in the cerebral cortex was not affected.

An ion-site interaction model for sodium currents in the giant axon.

The time and voltage dependence of sodium currents in the Myxicola giant axon were examined as functions of the external sodium concentration. The results were incompatible with a model of free diffusion through a gated channel, but lent themselves to analysis in terms of a model involving a positive cooperative homotropic reaction in which Na+ interacts with two allosteric sites - a regulatory site and a transfer site - at the 'sodium channel'. The time-dependent solution of the rate equations describing the kinetics of the transfer reaction was derived as an expression describing the sodium current as a function of time, membrane potential and external sodium concentration. This function was used to test the validity of the model by its ability to predict the nerve excitability properties. The predicted i-v and i-t curves fitted the experimental results (p less than 0.005 and p less than 0.05, respectively). The computed parameters of these functions are consistent with other experimental results. The possibility of a noncooperative reaction was rejected.