I. INTRODUCTION

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SD is hardly a new phenomenon; in fact, it has first been described 56 years ago (213). An extensive literature describes its properties, yet attempts to explain its mechanism remained unsatisfactory until recently, in part because the biophysical properties of central neurons were incompletely known and also because of the lack of computational power to test hypothetical proposals. Both these handicaps have gradually been overcome, and believable theoretical treatments, based on reliable laboratory data, have recently emerged. In this review I outline the history and the general features of SD. The emphasis is on data published during the last decade or two. Additional details of the earlier studies may be found in earlier reviews (41, 42, 179, 237, 240, 281, 294, 373, 375).

At the core of SD is a rapid and nearly complete depolarization of a sizable population of brain cells with massive redistribution of ions between intracellular and extracellular compartments, which evolves as a regenerative, "all-or-none" type process and propagates in the manner of a wave through gray matter. A similar response occurs in cerebral gray matter a few minutes after interruption of the blood flow or of the supply of oxygen. The pioneer investigators suspected that the same cellular process underlies the potential shifts and ion fluxes induced by hypoxia/ischemia and by SD (128, 214, 237, 427), but others have disputed this identity (399). Other names used to describe the hypoxic event include terminal depolarization (39, 384), anoxic depolarization (AD) (41), and rapid depolarization (397). A semantic objection against applying the term SD to hypoxia-induced depolarization stems from the assumption that the hypoxic process starts at once in a wide area, for if it does not propagate, it should not be called spreading depression. In arguing against this notion, Marshall (237) emphasized that propagation is not the essential feature of the process. Besides, recently, we have found that hypoxic SD-like depolarization actually does start in small foci, and it spreads at about the same velocity as does normoxic SD (6).

We prefer the somewhat cumbersome expression, SD-like hypoxic depolarization (377), abbreviated to hypoxic SD or HSD (6), for the following reasons. Although the sequence of events that leads to the depolarization does differ between SD and HSD, no difference has been detected in the biophysics of the depolarization itself. "Terminal depolarization" is misleading because the hypoxic/ischemic SD-like event is initially quite reversible, and it becomes "terminal" only if it persists beyond a critical period of time. The terms anoxic depolarization and rapid depolarization are not specific. All cells of mammals depolarize eventually in the absence of oxygen, but not all hypoxia-induced depolarizations are SD like. The diagnostic criterion is the accelerating, regenerative, all-or-none type depolarization typical of SD. Even in the neocortex, mild hypoxia causes only a slow, gradual depolarization that is not SD like (54), and this is typical of the spinal cord and of white matter even in severe hypoxia (390, 416). The distinction between SD-like and non-SD depolarization was appreciated already by van Harreveld and collaborators (416, 427).

The similarities and the differences between SD and HSD are discussed in some detail in section IVB.

	II. PHENOMENOLOGY OF SPREADING DEPRESSION

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The first, seminal paper on SD, titled "Spreading depression of activity in the cerebral cortex" (213) appeared in 1944, written by a young and unknown Brazilian investigator, Aristides Leão, working at the Harvard laboratory of R. S. Morison. Leão wanted to study the cortical electrogram (ECoG) of experimental epilepsy in anesthetized rabbits, but he was distracted from his original goal by an unexpected silencing of the ongoing normal electrical activity that took the place of the anticipated seizure (Fig. 1). The flattening of the ECoG trace crept slowly over the cortex, from one recording electrode pair resting on the cortical surface to the one beside it. According to Leão, SD and propagating focal seizures were related phenomena, generated by the same cellular elements (213), an inference later supported by others (e.g., Ref. 428).

View larger version (43K): [in this window] [in a new window]   Fig. 1. Leão's original illustration of spreading depression. The traces show the electrocorticography (ECoG) recorded from the exposed surface of the brain of a rabbit anesthetized with Dial. Inset in F shows the positions of the electrodes; S, stimulating electrodes, 1-7, recording electrodes. A-L show "push-pull" (balanced input) recordings from pairs of surface electrodes, as marked in A. Between A and B the cortex was stimulated by "tetanic" stimulation from an inductor coil; the times elapsed since the end of stimulation are noted at the bottom of panels. The ECoG becomes isoelectric in successive pairs of electrodes as the depression spreads over the surface. Seven minutes elapsed between K and L; L shows complete recovery of ECoG activity. [From Leão (213).]

After returning to Rio de Janeiro, using string galvanometer and vacuum tube amplifier, Leão recorded from the cortical surface the "negative slow voltage variation" (here denoted V_o) associated with SD, and the similar voltage shift that occurs after a few minutes delay when the cortex is deprived of blood flow (214). Reaching maximal amplitude of 15 mV, this surface potential shift was astonishingly large compared with other brain waves. In a delighted footnote, Leão (214) acknowledged a personal communication by B. Libet and R. W. Gerard, who apparently made the same observation.

Normoxic SD can be triggered by high-frequency electrical pulses ("tetanic" stimulation) or direct current (DC) ("galvanic"), mechanical stimuli such as pressure on or puncture of the cortex, alkaline pH, low osmolarity, and a variety of chemicals (20, 26, 41, 52, 79, 117, 212, 237, 294, 319, 327). Among the chemical agents noteworthy are potassium ions, glutamate, and, in some areas, acetylcholine, because these are normally present in the brain, and ouabain because it raises extracellular K⁺ concentration ([K⁺]_o). In general, similar insults can induce SD or provoke seizure discharge, and there are no simple rules by which to predict which of the two will prevail. Severe hypoxia or, more generally, sudden energy failure induces an SD-like response, and "spontaneous" waves of SD emanate from the border of ischemic foci and propagate into the surrounding brain region (43, 125, 149, 256, 336, 388, 437).

Some have contended at first that SD can occur only in cortex that is either diseased or ill treated (237). Although it is true that drying, hypoperfusion, and trauma facilitate SD, it can be provoked in perfectly healthy, well-nourished, oxygenated brain even when it is protected by its normal coverings, and also in the brains of unanesthetized, freely moving animals (44, 45, 176, 178, 247, 248, 294, 425, 430). The same is, of course, true for epileptiform seizures. Moreover, SD has been demonstrated in almost all the gray matter regions of the central nervous system, but it is more readily provoked in some areas than in others. The CA1 sector of the hippocampal formation is perhaps the most prone, closely followed by the neocortex. In the cerebellar cortex and olfactory bulb it is difficult to produce, unless the tissue is pretreated ("primed" or "preconditioned") by raising [K⁺]_o, substituting Cl by acetate or proprionate in the extracellular milieu, or hypotonicity (8, 87, 216, 281, 454). The spinal cord seemed quite "immune" for a long time but, under special conditions, its gray matter can also produce SD-like events (68, 387). In between these extremes are the subcortical gray matter of the basal ganglia and the thalamus, and also the retina, all of which can support SD, if suitably provoked (7, 40, 73, 86, 178, 239, 432). What it is that makes tissue more or less susceptible to SD has not been determined. Various possible reasons are discussed in section IIIM.

In newborn animals, SD cannot be induced. In rabbit and rat cerebral cortex the capacity to generate SD appears between the 10th and 25th postnatal day in different areas (41, 278, 446). Thereafter the threshold decreases and the amplitude of the associated extracellular voltage shift (V_o) increases until it reaches adult proportions. Hypoxic SD-like depolarization is evident already in 4-day-old rat pups, but the latent period from oxygen withdrawal to the appearance of the SD-like event is extremely long, and the apparent threshold level of [K⁺]_o from which the steep, SD-like increase takes off is very high. Then, as the rats mature, the latency shortens and the [K⁺]_o threshold is lowered (121, 157, 232). The final level to which [K⁺]_o rises is, however, similar in all age groups. The decreasing threshold of SD ignition may have to do with the shrinkage of interstitial space with age (222) or the maturation of transmitter systems (229, 253, 334, 392) (see section III, J, L, and M). In senescent rats, latency becomes even shorter than in young adults (322).

For a while it was debated whether SD can occur in the highly convoluted cortex of primates, especially in humans. Indeed, the smooth cortex of rats and rabbits produces SD more readily than that of cats, whereas the monkey brain is relatively resistant though by no means immune (41, 430). ramka et al. (386) recorded SD-like potential shifts in the hippocampal formation of human patients during stereotactic surgery. Against this contention McLachlan and Girvin (252) failed to evoke SD in the exposed cortex of patients, using electrode configurations and current intensities similar to those that consistently provoked SD in rat cortex. This failure may have to do with the anesthesia of the patients (307). Mayevsky et al. (249) saw the unmistakable signs of recurrent SD in at least one patient suffering of severe head injury whose cortex was monitored with an implanted multiple probe. There is no doubt that hippocampal and cortical tissue slices prepared from human brain fragments removed during neurosurgery do generate both SD and HSD (Fig. 2 and Refs. 4, 17, 175, 376). Nor is SD limited to mammals. It has been recorded in bird brain (238) and in the cerebellum and retina of a variety of vertebrates (108, 139, 187, 212, 239, 454).

View larger version (16K): [in this window] [in a new window]   Fig. 2. Spreading depression (SD) and hypoxic SD-like depolarization (HSD) in slices of human hippocampus. A: extracellular potential during SD provoked by a small drop of solution containing high K+ concentration on the slice at some distance from the recording. B: extracellular potential (Vex) and potassium concentration during hypoxia. [Recordings by P. G. Aitken, J. Jing, and J. Young; surgically removed human tissue supplied by A. Friedman. See also Aitken et al. (4).]

The potential shift recorded through DC-coupled amplification from the exposed cerebral cortex of cats, rats, or rabbits during SD has a maximal amplitude of 5 to 15 mV (214, 215). The initial surface-negative wave is followed by a smaller but more prolonged positive phase. When recorded by extracellular microelectrodes inserted into the gray matter of the neocortex or hippocampus, the V_o can be biphasic or triphasic, with the main component again negative relative to a distant ground, and reaching 15 to 30 mV. The white matter beneath the cortical gray becomes positive, while the cortex itself undergoes the negative wave (215). Ochs (294) inferred that apical dendrites were preferentially involved in the generation of the voltage shift. Current source density analysis in hippocampal formation of anesthetized rats and in organ cultures confirmed that during SD the main current flows inward in layers containing the dendritic trees of pyramidal neurons during the negative phase of the V_o (Fig. 3) (185, 435). The direction of the current related to SD flows in the opposite direction compared with the current underlying tonic-clonic seizure discharges, which is inward in the neuron soma layers (104, 378, 435).

View larger version (16K): [in this window] [in a new window]   Fig. 3. Time course of current source density (CSD) during seizure followed by SD in dentate gyrus in situ of an anesthetized rat. The horizontal bar indicates 10-Hz stimulation of the perforant path. Solid circles, stratum moleculare; open circles, stratum granulosum. Extracellular voltages were recorded with a multi-contact probe at 150-µm distances, and CSD was calculated as the second spatial derivative of the "sustained" component of shift in extracellular voltage (Vo; between evoked and burst discharges) after correction for variation of tissue resistance. The stimulation provoked a tonic-clonic seizure apparently maintained by a sustained inward current ("sink") into the cell bodies in stratum granulosum. This was followed by SD in which the CSD polarity reversed, producing a huge sink in the dendritic layer (stratum moleculare). Note the two maxima of the "saddle" shaped SD-related current marked by arrows. [From Wadman et al. (435).]

The onset of the V_o is usually preceded by increased neuronal excitability (110) or "fast activity" in the ECoG trace (330). In the hippocampus, the prodromal excitation is manifested in a shower of "population spikes," representing synchronized firing of neurons (136). Rosenblueth and García Ramos (330) emphasized that the V_o itself has all-or-none character: once it is started, its ultimate magnitude is independent of the triggering stimulus.

Several investigators concluded that SD is a complex phenomenon resulting from the interaction of various processes (42, 78, 187, 199, 298, 330). As seen in Figures 2A, 3, 5A, and 6, the negative V_o rapidly attains an early peak followed either by a less negative plateau or, after a brief decline or "notch," a slow, second negative maximum. We (134) have called this upside-down peak-and-hump waveform the "inverted saddle." It is frequently evident in recordings of both SD and HSD, in retina (78), neocortex (124, 238), cerebellar cortex (281) and most prominently in stratum (st.) radiatum of CA1 region of the hippocampus (134, 136), in brain in situ as well as tissue slices in vitro, and it is accentuated by current source density analysis (Fig. 3) (435). When recordings were made simultaneously from st. pyramidale and st. radiatum of hippocampal CA1 sector, the V_o invariably started earlier and ended later in the layer of the dendritic trees than among the cell somata. It was the later, slower "hump" at the rear of the "saddle" that was much more pronounced in st. radiatum. During microdialysis of the N-methyl-D-aspartate (NMDA) antagonist drug (±)-3-(2-carboxypiperazin-4-yl)-propyl-1-phosphonic acid (CPP), the late phase was suppressed near the dialysis source, but the early, sharp peak was unaffected and continued to propagate. As the early peak moved away from the source of CPP, the late, slower component reemerged (Fig. 6) (134). It seemed that the first peak and the following hump or plateau of the V_o were expressions of two distinct ion currents, and NMDA-controlled channels were responsible only for the second of the two. As we shall see in section IIIJ, this is not exactly correct; rather, the first peak is probably generated by a brief, intense surge of both NMDA current (I_NMDA) and persistent sodium current (I_Na,P) while the later phase is indeed due mainly if not exclusively to the more sustained flow of I_NMDA.

Independently from one another and at about the same time, Brinley and Kandel (37) and Kivánek and Bure (196) demonstrated the overflow of potassium from the cortical surface during SD. After the invention of ion-selective microelectrodes it became possible to measure ion concentrations in live tissue. Vyskoil et al. (434) reported for the first time the very large increase in [K⁺]_o during both SD and HSD.

The unparalleled increase in [K⁺]_o (35, 221, 232, 434) is accompanied by a precipitous drop in [Cl]_o, [Na⁺]_o, and [Ca²⁺]_o (78, 124, 128, 187, 281, 283, 373, 448), suggesting that K⁺ leaving cells is exchanged against Na⁺ and Ca²⁺ that are entering (281, 360). [Ca²⁺]_o decreases from its normal level of 1.2-1.5 mM to <0.3 mM. Cations are not exchanged one for one between intra- and extracellular solutions, for the reduction in [Na⁺]_o is greater than the increase in [K⁺]_o (267). The concomitant drop in [Cl]_o indicates that some of the Na⁺ entering the cells is accompanied by Cl. Nicholson (281) suggested that the deficit in extracellular anions is made up by anions leaving the cytosol. Indeed, organic anions, including glutamate, have been shown to be released during SD (71, 81, 395, 397, 420), although some of the glutamate comes from glial cells (170, 171, 394). An exact and complete balance sheet of all ingredients displaced during SD is yet to be completed, however.

The unusual magnitude of the changes in extracellular ion concentrations created the impression that intra- and extracellular ion concentrations equilibrate during SD, and this idea was bolstered by the nearly complete depolarization of neurons during SD (57, 137, 391; see sect. IIH). The volume of the cytosol is, however, so much larger than that of the interstitial space that cells need to give up but a fraction of the K⁺ they contain to achieve a manyfold rise in [K⁺]_o. Calculations based on the simultaneously recorded levels of [Na⁺]_o and [K⁺]_o and the known fractional volume of the interstitial space in hippocampus indicate that a much reduced but still substantial transmembrane K⁺ concentration gradient remains standing during HSD (267) (Figs. 4A and 7D).

View larger version (22K): [in this window] [in a new window]   Fig. 4. Membrane potential with the simultaneously recorded extracellular ion concentration changes and calculated intracellular ion concentrations of CA1 pyramidal neurons in hippocampal slices. A and B are from two different neurons. Vi  Vo, the extracellular voltage shift was subtracted from the intracellular potential change to obtain the true transmembrane potential change; [K+]o and [Na+]o, extracellular ion concentrations measured with ion-selective microelectrodes; [Na+]i and [K+]i, intracellular ion concentration changes calculated twice, assuming either that glial cells participate equally with neurons in the ion exchange, or that the ion content of glial cells remains constant. Truth very probably lies between these limits. [From Müller and Somjen (267).]

During SD, extracellular pH (pH_o) first becomes alkaline and then acid (183, 184, 219, 223, 281, 369, 404, 449). During hypoxia or ischemia, strong tissue acidosis begins well before HSD, but the onset of HSD is marked by a brief alkaline transient that interrupts the acid shift (124, 184, 401).

The local acidosis outlasts the V_o and is related to the production of excess CO₂ and acid metabolites, especially lactic acid (64, 195, 341), by-products of increased metabolic activity required for the restoration of the ion distributions (42). The origins of the alkaline shift are less clear, and several factors may contribute to it. The production of ammonium ions appears to be one factor (183). The more moderate increase of pH induced by electrical stimulation (without SD) has been attributed to the extrusion of HCO at GABA_A receptor-controlled channels (163), plus an uptake of H⁺ in response to glutamate-induced depolarization. The latter mechanism is calcium dependent, and it is believed to be caused by countertransport exchanging Ca²⁺ for protons, which compensates depolarization-induced calcium influx (114, 362, 363). This, however, does not completely account for the alkaline shift associated with SD, which does occur even in Ca²⁺-free medium (255). The extracellular alkaline transient is accompanied by alkalinization of glial cytoplasm, while neurons become acid (55, 56). Glial alkalinization is in part a function of membrane potential and may be caused by transmembrane proton flux (55, 113) but, again, more than one mechanism seems to be at work (10, 204).

Leão (217) was the first to discover the transient increase in tissue electrical impedance accompanying SD, and this was soon confirmed by others (91, 147, 421, 422). The increase was mainly in the tissue resistance (R_T), while the reactive components remained essentially unaffected. The most likely explanation of increased R_T was swelling of cells at the expense of interstitial space. Cell swelling was confirmed by morphological studies (181, 410, 411, 414, 417, 419, 423).

Tissue resistance would, however, be an exact index of cell volume only if cell membrane resistance was so high that the fraction of the measuring current flowing through cells could be neglected, and if the membrane resistances would not change. Analyzing impedance and phase angle at several frequencies, Ranck (316) concluded that, during SD, interstitial space shrinks, neuronal membrane resistance decreases and, a little later, glial membrane resistance increases (see also Ref. 84). The distinction of glial and neuronal membrane behavior was based on an assumed difference in membrane time constants in excess of 1,000, and a very "leaky" glial membrane (315). More recent measurements show that a sizable fraction of current imposed on the brain tissue does flow through cell membranes (84, 97, 99, 297), and neuronal membrane resistance indeed drops drastically during SD (67, 364 and sect. IIH) so that an increased fraction of the current must take the transcellular route.

A more reliable index of changes in interstitial volume fraction (ISVF) is derived from the concentration of indicator substances that do not penetrate cell membranes. For practical reasons indicators are preferred that can be measured with ion-selective microelectrodes. Among them are tetramethyl- and tetraethylammonium ions (TMA⁺ and TEA⁺) and certain anions (75, 126, 284, 306). From the increase in the concentration of such indicators, the drastic shrinkage of the interstitial spaces during SD and HSD could be accurately gauged (78, 126, 160, 230, 304). In interpreting the drastic decrease in ISVF it should be remembered that it takes only a moderate cell swelling to compress most of the interstitial space. For example, where the normal ISVF occupies 13% of the tissue volume (251), a 70% decrease in ISVF (160) corresponds to only about a 10.5% expansion of the average intracellular volume.

ISVF shrinks also during moderate neuronal excitation (75), but much less than during SD or HSD (160). Neurons, especially dendrites, swell because NaCl uptake exceeds the discharge of K⁺ and organic anions (sect. IID), while glial cell swelling is driven by KCl uptake stimulated by the rising [K⁺]_o (170, 173, 262).

SD of activity in a frog retina in vitro was first reported by Gouras (108), who also noticed the visible "milky area" that expanded over the tissue together with the electrical signs of SD. Martins-Ferreira and Oliveira Castro (241, 298) recorded four successive phases of optical change accompanying SD and attributed them to changing light scattering. Snow et al. (364) reported the less-intense SD-related intrinsic optical signals (IOS) in hippocampal tissue slices. Recording IOS with a camera attached to a microscope permits real-time two-dimensional mapping of the spread of SD, whereas electrodes can register the voltages only from a limited number of points. In the retina, the optical signals are maximal in the inner plexiform layer (241), corresponding to the region of maximal V_o (260). In hippocampal tissue slices, IOS are most marked in the dendritic layers, while cell body layers are relatively inert (6, 11, 266) as expected from electrical recordings (134) and current source density analysis (435).

Light scattering has been used for decades to measure changes in cell volume in cell suspensions. Cell volume increase is reliably associated with a decrease of light scattering, attributable to the dilution of scattering particles in the cytosol (3, 28, 301, 352). This presents a problem, for even though cells undoubtedly swell during SD, the main optical change associated with SD is an increase, not a decrease, in scattering (6, 11, 189, 192, 241, 364, 452). Kreisman et al. (190) found a potential source of artifact that could explain the paradox. When tissue slices are at a liquid-gas interface and the surface of the slice bulges, the angles of incidence and reflection of light change and so does the recorded signal, independently of scattering within the tissue. This, however, is not the whole explanation.

Recently, we (3, 82, 266; D. Fayuk, P. G. Aitken, G. G. Somjen, and D. A. Turner, unpublished data) compared the IOS of hippocampal tissue slices during SD and during osmotically induced cell volume changes. Two kinds of optical signals are generated in these slices, and neither is caused by the artifact described by Kreisman et al. (190). As expected, mild to moderate hypotonic cell swelling was correlated with decrease in light scattering, and hypertonic shrinkage with its increase. SD and HSD are preceded by a brief decrease of scattering, but when the SD-related V_o begins, the IOS abruptly reverses polarity. The intense increase of scattering returns to baseline more slowly than does V_o. The IOS changes were qualitatively similar in interfaced and in submerged slices, and therefore could not be due to the change in curvature of the surface ("lensing") of the tissue slice. The reversal from scattering decrease to scattering increase at the onset of V_o during SD was recently confirmed by Tao (398), who used optical fibers in contact with the tissue to exclude surface artifacts.

When Cl in the bathing solution is replaced by an anion that does not penetrate cell membranes, the scattering increase is abolished (242), and in its place the scattering decrease continues during and after the V_o (266). The cell swelling, measured as the shrinkage of the TMA⁺ space, was, however, not diminished by deleting Cl (264, 266). In the absence of NaCl, swelling was probably due to the influx of NaHCO₃ (see sect. IIIG). With Cl deficiency, the swelling-related scattering decrease was unmasked, while in the presence of Cl the SD-induced scattering increase obscured it. The source of the Cl-dependent scattering increase is not known, but it could be related to swelling of mitochondria and other organelles. Bahar et al. (18) found that during SD mitochondria are powerfully depolarized, but lowering of [Cl]_o suppressed the SD-related mitochondrial depolarization while it also abolished the increased scattering.

Accepting that there is another process besides cell shrinkage that can increase scattering (3, 266), it is possible to understand the sequence of IOS seen during SD in isolated retinas, defined as phases a-d by the Brazilian school (239, 241, 298, 415). Phase a is a brief, weak decrease of light scattering, followed by a sharp, large increase (phase b), then a decrease slightly below baseline (phase c), and finally another large and prolonged increase (phase d). It is the sharp scattering increase during phase b that coincides with the negative V_o (239), similarly to hippocampal slices. R_T is high throughout phases a, b and c, signaling cell swelling, while during phase d R_T is well below baseline. It follows that phases a and c are caused by cell swelling, while phase d is caused by cell shrinkage or "undershoot" of the cell volume as it recovers from the preceding swelling. Phase b represents the superimposed SD-induced (mitochondrial?) scattering increase that is independent of cell volume.

Andrew and associates (12, 14, 287) identified another possible source for the light scattering increase caused by hypoxia combined with low glucose, or by excitotoxicity. They attribute the increased scattering to the beading of dendrites, which is a sign of irreversible injury (148). Unlike dendritic beading, the scattering increase associated with uncomplicated SD or HSD is completely reversible, and it does not lead to loss of neuronal function, provided that oxygenation is restored in time (3, 266).

To sum up, four independent sources have been suggested for the IOS of brain slices, and these are not mutually exclusive. Cell swelling is associated with a light scattering decrease. SD and (reversible) HSD are associated with a Cl -dependent scattering increase that may be due to swelling of intracellular organelles. Strong swelling of tissue slices at liquid-gas interfaces can alter reflected light when the radius of curvature of the slice surface changes. Finally, (irreversible) beading of dendritic processes can increase light scattering.

Broek (38) sampled membrane potentials by advancing a microelectrode through cortex and registering the voltage deflections as the electrode tip penetrated cells before, during, and after the passage of a wave of SD. Average membrane voltages were less negative during SD than before it, suggesting depolarization, and more negative thereafter, indicating transient hyperpolarization following SD. Collewijn and Van Harreveld (57) were the first to record the intracellular potential (V_i) of a neuron long enough to follow its course through SD. They recognized that the intracellular electrode records the sum of intra- and extracellular voltage shifts and, in the case of SD, V_o is too large to be ignored. After correcting V_i for V_o they concluded that during SD the membrane potential of neurons can briefly approach zero. Their findings were repeatedly confirmed (67, 137, 267, 364, 373, 403) (Fig. 4), but some investigators neglected to correct for V_o and therefore underestimated the depolarization (e.g., Refs. 105, 397). It will be noticed that, unlike V_o, in most cases neither the course of membrane potential (V_m) nor that of [K⁺]_o have a saddle shape with two maxima; rather, there is typically an initial peak followed by a lower, prolonged plateau, or else a slowly declining late phase (Figs. 2B and 4 as well as I_h in Fig. 5A). If, however, V_i is not corrected for V_o, then V_i can show an artifactual "drift" in a positive direction (267).

View larger version (23K): [in this window] [in a new window]   Fig. 5. Whole cell current recorded during SD from a pyramidal neuron in CA1 sector of a hippocampal tissue slice, using a patch pipette containing Cs gluconate as main electrolyte. A: Vo, extracellular potential recorded near the cell; Ih, holding current; the patch pipette was referenced to the extracellular micropipette to record the true transmembrane current without distortion by current flowing from the tissue to ground. The holding potential (Vh) was 71 mV. The vertical transients intersecting the Ih trace are due to ramp voltage tests probing the voltage-dependent responses and input resistance (Rin) of the cell. During the time marked by the horizontal two-headed arrow, high K+ solution was applied to the slice in the CA3 region; SD propagated from CA3 to the recording site in CA1. During the SD-related Vo, Ih increased greatly. B: current-voltage (I-V) curves derived from ramp voltage tests of the same cell. The cell was first hyperpolarized for 20 ms to 110 mV and then depolarized by linear ramp over 300 ms to 10 mV. The top I-V plot is from before high K+ administration, the bottom plot during the maximal SD-related increase of Ih. The control record shows current spikes presumably generated outside the clamped region, in axon (Na+ mediated) and dendrites (Ca2+ mediated); these disappeared during SD, and the steeper slope of the I-V curve indicates greatly increased input conductance. K+ currents were largely eliminated by the Cs+ in the pipette. [From Czéh et al. (67).]

Neuronal input resistance (R_in) was measured during SD and HSD by a number of teams using "sharp" intracellular electrodes (259, 265, 267, 364) or using patch-clamp electrodes in whole cell configuration (67). Snow et al. (364) reported the collapse of R_in to a degree where it was too small to measure. Based on current-voltage (I-V) plots obtained by depolarizing voltage ramps in whole cell recordings, Czéh et al. (67) measured average R_in during SD to be 34% of its control value and 21% during HSD when using Cs-gluconate pipettes, and 52% with K-gluconate pipettes (Fig. 5B). The effect varied widely, with R_in dropping below 10% in some cells, while others seemed not to participate in the SD of their neighbors. With sharp electrodes filled with K-acetate solution, Müller and Somjen (265) found R_in reduced to 11.7 ± 6.3% during HSD in similar hippocampal CA1 pyramidal neurons. The averages differed, but the ranges overlapped in the two sets of data, and neither method indicated complete "breakdown" or ionic transparency of the membrane.

	III. MECHANISMS OF SPREADING DEPRESSION AND HYPOXIC SPREADING DEPRESSION-LIKE DEPOLARIZATION

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Van Harreveld's asphyxial hypothesis was the first proposed explanation of SD (426) which, however, was quickly discarded. It ascribed SD to ischemia resulting from a spreading wave of vasoconstriction. The vascular responses associated with SD are, however, complex. Just before the V_o vessels may constrict, but this is not always observed. The depolarization itself is associated with marked vasodilatation, which is followed by prolonged but moderate hypoperfusion (59, 102, 124, 127, 207, 210, 211, 254, 257, 308, 444, 445). Local blood flow is so abundant that hemoglobin oxygenation increases in spite of increased metabolic demand (445) and extracellular tissue oxygen tension (PO₂) tends to increase, especially at the onset of SD, although it may decrease later (219, 443). Most importantly, mitochondrial oxidative enzymes become oxidized during SD, in contrast to hypoxia and ischemia when mitochondrial enzymes become reduced already before the onset of HSD, and maximally during HSD (161, 191, 228, 247, 248, 248, 250, 313, 321, 331, 389).

The second and still most influential proposal was Grafstein's potassium hypothesis (110). According to Grafstein (110), K⁺ released during intense neuron firing accumulates in the restricted interstitial spaces of brain tissue, and the excess [K⁺]_o further depolarizes the very cells that released it, resulting in a vicious circle that leads to inactivation of neuronal excitability. In the meantime, some of the accumulated K⁺ diffuses through the interstitial spaces to neighboring cells, which then also depolarize, fire, and go through the same cycle, thus producing the slowly propagating wave of SD. At Grafstein's request, Hodgkin derived a mathematical expression for this process (111).

The core of Grafstein's idea survives today. There is little doubt that the rise of [K⁺]_o is a link in the chain of events causing SD. There were, however, problems with the details of the theory, as originally formulated. To the surprise of most, tetrodotoxin (TTX) did not prevent SD, even though it suppressed action potential firing (94, 181, 299, 400). Today we know, of course, that K⁺ can be released from cells without the firing of action potentials. Yet another problem is that, at a given point in the tissue, [K⁺]_o does not start to increase ahead of the V_o, as it should, if K⁺ were the agent of the propagation of SD (134, 219). As we shall see in section IIIJ, the increase in [K⁺]_o appears to be a key to the ignition and the evolution of the SD process (162), but not necessarily to its propagation (see sect. IIIL). In contrast, during hypoxia there always is a slow, gradual increase in [K⁺]_o well before the start of the V_o (122, 123), which may well be important in the spread of HSD (6).

The third major proposal was van Harreveld's glutamate hypothesis (412, 418, 420). It was van Harreveld (412) who first proposed that glutamate may be a physiologically important excitatory compound, based on three observations: 1) it was present in extracts of normal brain, 2) it caused the contraction of crustacean muscle, and 3) it induced SD when applied to the cortical surface. Circumstantial evidence seemed to favor glutamate over potassium as the agent of SD. Neither the release of glutamate nor its excitatory action was antagonized by TTX. Of glutamate, it has long been known that it causes the uptake of NaCl and water into cells (9). Finally, glutamate is released during SD (81, 155, 338, 418, 420). Opinions doubting the role of glutamate were and are, however, voiced as well (65, 77, 290, 293).

The arguments in favor of glutamate can be extended to other excitatory transmitters (283, 325, 366). Indeed, there have been reports implicating acetylcholine, at least in the retina (325, 326) but not in neocortex (218). Transmitters and high [K⁺]_o may both play a role. Van Harreveld himself had modified his views, allowing for two types of SD, one mediated by K⁺, the other by glutamate (413). There is much evidence in favor of this dual hypothesis (162).

In the normal central nervous system, the resting intracellular potential recorded by sharp micropipette electrodes from glial cells (usually astrocytes) is, on average, more negative and more stable than that of neurons, whereas their input resistance (R_in) is lower. Low glial membrane resistance is mainly due to high "resting" conductance for K⁺ while input resistance is further lowered by the electrical coupling between cells by gap junctions. Repeated electrical stimulation or seizure discharges cause [K⁺]_o to rise, and this depolarizes glial cells (reviewed in Ref. 367). In the spinal gray matter and in the neocortex K⁺-induced glial depolarization contributes a large part of the extracellular sustained potential shifts that accompany prolonged neuron excitation (366). The prominent V_o that is typical of SD has also been assumed to be generated in large part by glia, and this was one of the reasons for suggesting for a leading role of glial cells in the generation of SD (224, 237). In the hippocampal formation, the glial contribution to V_o is, however, minor compared with the neuronal fraction (reviewed in Refs. 365, 371).

The membrane potential of "idle cells," later proven to be neuroglia, was recorded during SD for the first time by Karahashi and Goldring (165), followed by Higashida et al. (138). As expected, the depolarization of glial cells more or less mirrored the V_o of the cortical surface. Later Higashida et al. (137) and Sugaya et al. (391) compared neuronal and glial recordings and came to contrasting conclusions. Higashida et al. (137) found that neurons were more strongly depolarized than glial cells. According to Mori et al. (260-262), Müller (glial) cells in retina take up K⁺ during SD; therefore, they cannot be the source of the rise of [K⁺]_o, and their membrane behaves as a potassium electrode. In contrast, Sugaya et al. (391) reported that depolarization started earlier and was more profound in cortical glial cells than in neurons. They also found that not all neurons depolarized during SD, while the response of glial cells was uniform. These observations and the lack of effect of TTX led them to believe that glial cells produce SD and neurons merely follow their lead. Our recordings from a limited number of glial cells show responses that were milder than those of neurons (66, 267, 376). As in the retina (261), the membrane potential of hippocampal glial cells decreased as expected for a "passive" K⁺-permeable membrane with the rise of [K⁺]_o, and R_in decreased only slightly. These data agree with those of Higashida et al. (137). Yet, similarly to Sugaya et al. (391), we (67) also found a few neurons that refused to participate in the SD, even though the simultaneously recorded V_o signaled that SD did occur in the remainder of the population.

Interest in the role of neuroglia in SD was rekindled with the discovery of the waves of elevated intracellular calcium activity in glial cell cultures (62, 88, 103). When a local stimulus, for example glutamate or NMDA, raises intracellular Ca²⁺ concentration ([Ca²⁺]_i) in a cluster of glial cells, other cells that are linked through gap junctions follow suit, and the wave of [Ca²⁺]_i increase is spreading at a slow velocity reminiscent of the propagation of SD (62, 89, 103, 269, 270). Similarly spreading calcium waves have also been recorded in hippocampal slices (69, 70), retina (83), and organ cultures (198). Nedergaard (240) has proposed a primary role to the calcium waves in the generation of SD. Basarsky et al. (29) have shown, however, that SD can occur in the absence of the intracellular calcium waves, when calcium is deleted from the bathing medium. It follows that Ca²⁺ influx, whether into glial cells or neurons, is not required for SD generation or propagation (see also sect. IIIF).

There are other reasons to doubt a leading role for glial cells in generating SD or HSD. The metabolic poisons fluoroacetate and fluorocitrate incapacitate glial cells hours before they affect neurons (201). Yet these toxins do not prevent SD, but rather facilitate its onset (202, 203). This supports the idea that, instead of instigating SD, glial cells inhibit it, as suggested already by Mori et al. (262) and Gardner-Medwin (96).

Glial protection against SD is achieved in part by stabilization of extracellular ion levels, especially [K⁺]_o (reviewed in Refs. 27, 280, 368). Computer simulation makes this contention plausible (see sect. IIIJ). Ion regulation is a joint function of neuroglia and the capillary endothelium which forms the blood-brain barrier (36, 47, 280). Additionally, astrocytes prevent overflow of transmitters into interstitial fluid (344).

In summary, glial cells do play a passive role in the total SD response (437). They depolarize, because their membrane potential is determined by the rise of [K⁺]_o and they swell because they take up KCl. The timing of glial depolarization follows V_o closely because both are determined by the aggregate behavior of the neuron population. In contrast, the onset of the depolarization can vary widely among individual neurons because it is determined mainly by the activation of specific membrane conductances. As we shall see in section IIIJ, the SD process is ignited when neuron dendritic persistent inward currents begin to exceed persistent outward currents, and for some neurons this moment may precede while in others it may lag behind the group average. Despite individual variability, it is neurons that initiate the SD process.

As already mentioned in section IIIA, TTX in amounts sufficient to abolish action potentials postpones or reduces but does not prevent SD (94, 181, 260, 353, 391, 400). Inhibition by TTX is stronger against HSD than against SD (5, 267, 447), and in a minority of identically treated slices, TTX actually prevented HSD (5). Other drugs that act on voltage-gated Na⁺ channels, such as diphenylhydantoin (phenytoin) and local anesthetics, slow the propagation of SD in retina, raise its threshold, and sometimes block it completely (50, 51, 181).

The rapid, large decline of [Na⁺]_o (128, 187) leaves little doubt that there is an intense inward surge of this ion during SD. The question is whether the influx of Na⁺ is required for the generation of SD. In the isolated retina SD is slowed in a concentration-dependent manner, and eventually stopped entirely, if Na⁺ is substituted by choline or TMA⁺ (216, 243). Remarkably, the substitution of Tris⁺ for Na⁺ had no effect on the circling SD in this preparation (236). In isolated hippocampus, substituting Na⁺ by N-methyl-D-glucamine (NMDG⁺) suppressed the V_o of HSD (268). It follows that, ordinarily, the depolarization is indeed mediated mainly if not exclusively by Na⁺ influx, and Ca²⁺ in the amounts it is normally present in extracellular fluid cannot take its place (see also sect. IIIF).

One must ask, What pathway do Na⁺ take when voltage-gated Na⁺ channels are blocked by TTX? A clue is provided by the fact that in both SD and HSD the depolarization approaches zero voltage without ever moving into the positive range (57, 267), and the SD-related whole cell current reverses at a slightly negative level (67) (see sect. IIH). This points to a mixed ion conductance rather than one exclusively selective for Na⁺. A nonselective conductance could also explain the intense outflow of K⁺. In theory, such a mixed flux of ions could occur through perforations that are not normally present, or at least are not normally open. Alternatively, the mixed conductance could be provided by the opening of transmitter-controlled channels. Like the SD-related current, glutamate-controlled current reverses near zero membrane potential (200). Finally, it could be the result of the simultaneous activation of inward and outward currents.

The glutamate hypothesis could be tested, once selective agonists and antagonists of glutamate receptors became available. Agonists of all three major ionotropic glutamate receptors, quisqualate, kainate, and NMDA, were effective in inducing SD (212). Antagonists of NMDA receptors inhibited SD (17, 107, 132, 188, 197, 233-235, 259), but the same agents were ineffective against HSD (1, 132, 209, 234, 409, 448). Antagonists of quisqualate and kainate receptors were without effect on either SD or HSD (17, 134, 208, 209). To reconcile the seeming discrepancy between the universal effectiveness of glutamate agonists versus the selectivity of NMDA antagonists, it was suggested that quisqualate and kainate provoke SD indirectly, by stimulating glutamate release, and the released glutamate then activates NMDA receptors (338, 353).

The observations just quoted suggested that activation of NMDA receptors is required for the generation of SD but not of HSD. There are, however, problems with this proposition. The amount of aspartate and glutamate spilled into interstitial space during normoxic SD is quite small compared with the huge amounts released during HSD (32, 33, 81, 338). Moreover, not all trials with NMDA antagonists were equally successful. A dose of an antagonist that successfully blocked the propagation of SD did not necessarily suppress SD at the site of stimulation (235). Also, the selectivity of higher doses of the dissociative anesthetics, such as ketamine, kynurenate, or MK-801, is suspect (58, 346). For example, the dose of kynurenate that blocked glutamate-evoked SD failed to prevent SD provoked by high K⁺, except when the dose was raised to very high levels (212). Lauritzen et al. (208) pointed out that this difference between glutamate-evoked and K⁺-evoked SD supports van Harreveld's (413) advocacy of two kinds of SD, only one of which is dependent on glutamate. In urethane-anesthetized rats, the highly selective competitive NMDA antagonist CPP blocked only the late component of the SD-related V_o, and it did not prevent the propagation of the SD wave (Fig. 6 and Ref. 134). And, unlike the complete failure of other anti-NMDA drugs in suppressing HSD (132, 233), in hippocampal slices both CPP and the non-NMDA glutamate antagonist 6,7-dinitroquinoxaline-2,3(1H,4H)-dione (DNQX) did postpone the onset of HSD and reduced the amplitude of the V_o (159, 268, 448).

View larger version (23K): [in this window] [in a new window]   Fig. 6. Blocking N-methyl-D-aspartate (NMDA) receptors suppresses the late phase of SD-related Vo. Recurrent waves of SD were induced by microdialysis of high-K+ solution into the hippocampal formation in situ of a rat anesthetized by urethane. Simultaneous extracellular direct current-coupled recordings made with two pairs of micropipette electrodes. St.P. (top row of traces), from stratum (st.) pyramidale; St.R. (bottom row), from st. radiatum, both in CA1. The heavy traces are from the pair of electrodes in the more caudal position, nearer to the microdialysis probe; the lighter traces from the pair more rostral, farther from the source. The leftmost traces are control recordings, with SD provoked by a brief pulse of high-K+ dialysis. The following two sets are during the continuous combined dialysis of high K+ plus the NMDA antagonist CPP. The traces on the right are after prolonged washout of CPP during continued dialysis of high K+. In the control recording and even more so after washout of CPP, the initial, sharp peak of the Vo is followed by a slower, larger, somewhat irregular negative wave. During CPP administration, this second, slow wave is suppressed in the caudal (near) but not in the rostral (far) recordings. [From Herreras and Somjen (134).]

These observations force the following conclusions. Neither neuron firing nor synaptic transmission is required for SD generation, nor is the activation of NMDA receptors an absolute requirement for the generation of SD, and even less for HSD. Nonetheless, glutamate and aspartate, as well as some TTX-sensitive Na⁺ channels, do play a role (see sect. IIIJ).

[Ca²⁺]_o sinks to very low levels during both SD and HSD, and the time course of its decline more or less mirrors the rise of [K⁺]_o and parallels the decline of [Na⁺]_o (78, 124, 128, 134, 159, 187, 281), raising the question whether Ca²⁺ current contributes to the depolarization. Blocking voltage-gated Ca²⁺ channels by adding Ni²⁺ or Co²⁺ to the bathing fluid substantially reduces the amplitudes of V_o, [K⁺]_o increase, and [Ca²⁺]_o decrease, and it prevents the propagation, but not the initiation, of normoxic SD (159). These divalent cations have, however, actions besides blocking Ca²⁺ channels (15, 140). More importantly, removing calcium from the extracellular fluid does not prevent SD or HSD, and it may even favor its onset (24, 29, 93, 255, 453). In contrast, substituting Na⁺ by a membrane-impermeant cation does suppress SD as well as HSD (243, 268), demonstrating that the Ca²⁺ present in the extracellular medium are not capable of supporting SD. This does not mean that the flow of Ca²⁺ into cells during SD does not have important consequences, only that Na⁺ carry the bulk of the charge necessary for the depolarization.

While [Ca²⁺]_o drops by ~1 mM during HSD (159), at 37°C [Ca²⁺]_i increases by <0.2 µM (438). Simple arithmetic indicates that, even taking account of the different volume fractions of interstitium and cytosol, much of the Ca²⁺ that enters must be buffered and/or sequestered. Yet even if Ca²⁺ is removed from the extracellular medium, [Ca²⁺]_i rises to about the same extent, indicating release from intracellular stores (456). This seeming paradox suggests that, when the cytosol is flooded by influx of huge amounts of Ca²⁺, buffers take up most of it, but in the absence of external supply, under the influence of HSD, some stores release their content into the cytosol. Increased mitochondrial permeability could cause such release (18).

Together with Na⁺, Cl also disappears from interstitial fluid during SD, although not in 1:1 proportion. Phillips and Nicholson (306) compared the movements of a series of anions of varying ion radius during SD and came to the conclusion that the limit for the size of the channel or "pore" that admits anions during SD lies between 6 and 11.2 Å (see also Ref. 240). Until recently, it seemed that cell swelling was dependent on Cl influx (419, 424). Müller (264) has now examined the effects of the chloride transport inhibitors furosemide, DIDS, and DNDS on HSD and found only minor changes in the magnitude of the V_o and in the onset time of the depolarization. More surprisingly, substituting methyl-sulfate or gluconate for Cl in the bath did not prevent cell swelling during HSD (measured as the shrinkage of TMA⁺ space) (264, 266). As mentioned in section IIG, removal of extracellular chloride suppressed the HSD-related light-scattering increase (242) and unmasked the decrease in light scattering that is caused by cell swelling (266). Normally, with Cl abundant in extracellular fluid, it almost certainly is the main anion entering cells during cell swelling (423, 424). Which anions accompany Na⁺ when Cl is absent is less clear. Bicarbonate is the likely candidate because it is the second most abundant anion in extracellular fluid, and its molecular size is smaller than the limit estimated by Phillips and Nicholson for the SD-induced anion flux (240, 264, 306).

Last but by no means least, we must ask what is the role of voltage-gated K⁺ channels. In the isolated retina, the broad-spectrum K⁺ channel blocker TEA⁺ slowed the propagation of SD (93, 243, 342). We (5) tested the effect on HSD of TEA as well as 4-aminopyridine (4-AP), which inhibits the inward rectifier and A-type channels only (141). Both TEA and 4-AP shortened the delay from oxygen withdrawal to the onset of HSD, probably because blocking K⁺ channels enhances the excitability of neurons. However, even though HSD started earlier, the amplitude of the V_o and of the increase of [K⁺]_o were consistently and substantially depressed by TEA but not by 4-AP. We concluded that some but not all of the K⁺ leaving cells flows through TEA-sensitive channels (5). ATP-sensitive K⁺ channels probably carry some of the K⁺ released during HSD (448).

The trials with channel blocking drugs were inspired by a search for a specific ion current that could explain the precipitous decrease of membrane resistance and depolarization of neurons. Diverse selective antagonists partially depressed or delayed SD or HSD, but none completely prevented them. One might conjecture, therefore, that during SD pathological pathways open which normally are absent or dormant. We have rejected this conclusion after finding that simultaneously blocking all known major inward currents with a cocktail of CPP, DNQX, TTX, and Ni²⁺ reliably prevented HSD (265). Administered separately, each ingredient in this cocktail delays the onset of SD or HSD, but even three of the four combined could not reliably prevent it (159, 268); it takes all four inhibitors to achieve consistent protection. It seems that, normally, several ion channels cooperate in generating HSD or SD but, if some are incapacitated, one of the channels alone is sufficient to mediate a slowed version of the process, albeit not always in every member of the neurons in the population. Once SD has been initiated, the membrane potential will in the end reach the usual depolarized level. It is important to remember that the extracellular voltage shift V_o can be depressed if fewer than the usual number of neurons participate in the SD, even though those that do depolarize fully.

The voltage to which the membrane is moved during SD is not determined by the number of channels available, but by the feedback that governs the process (268).

Several mathematical models of SD have been published (41, 111, 282, 318, 320, 351, 407, 408). These computations were more relevant to the propagation of SD than with its initiation. SD propagation is the topic of section IIIL.

We (162, 381; and unpublished observations) used the simulation environment devised by Hines, Moore, and Carnevale (142) to test whether a neuron model incorporating realistic physiological parameters could generate SD-like depolarization. The geometry and the resting electrical properties of the model were based either on a hippocampal pyramidal cell published in the Duke-Southampton Archive of Neuronal Morphology (48, 311) or on a simpler schematic design. In either case the "cell" had a small soma with dendrites attached. The surface membrane was surrounded by restricted interstitial space, resting concentrations were set for ions both inside and outside, and changes in ion concentration caused by membrane currents were continuously calculated. The original model contained only Na⁺ and K⁺ but in the more recent version Cl as well as impermeant anions were also computed, and electroneutrality in the solutions was respected. The ISVF was either fixed at 15% of the neuron intracellular volume or it was made an inverse function of osmotic cell swelling. At rest the membrane potential was controlled by Na⁺, K⁺ "leak" conductances, with Cl added in the new version. Voltage-gated Hodgkin-Huxley-type rapidly inactivating Na⁺ currents (I_Na,T) (141, 144) were present in the soma; slowly inactivating I_Na,P (63) were present in soma as well as in dendrites. Rapidly inactivating potassium "A" currents (I_K,A) and delayed rectifier currents (I_K,DR) that do not inactivate were inserted in soma and dendritic tree (141). In addition, dendrites we equipped with currents controlled by NMDA receptors (I_NMDA). In the newer, more complete version, the very tip of the apical dendrites and the basal dendrites were passive, endowed only with leak conductances. I_NMDA depended on both [K⁺]_o and on membrane potential because elevated [K⁺]_o causes the release of glutamate and also enhances NMDA-controlled currents by direct action, and the Mg²⁺ block of NMDA-controlled channels is voltage dependent (92, 141, 173, 309, 332, 394, 395). Changes in ion concentrations were restored by a "Skou-type" electrogenic Na⁺-K⁺ exchange pump transporting 3 Na⁺ out against 2 K⁺ into the cell (206). In addition, [K⁺]_o was "buffered" by a "glia-endothelial" uptake function. In the original model (162), glial uptake was represented by a buffer equation, in the newer version the glia-endothelial system operated through leak conductances for K⁺, Na⁺, and Cl, and glial V_m and glial ion concentrations were continuously computed. The cell could be stimulated by depolarizing current injected into the "soma" compartment.

When the Na⁺-K⁺ pump and the glia-endothelial uptake were operating optimally, injected depolarizing currents evoked the steady, repetitive firing of lifelike action potentials, which ceased promptly when the stimulus stopped as it does in neurons in healthy brains. If either the ion pump or the glial buffer were weakened, pathological behavior ensued. The mildest pathology consisted of "afterdischarge" when the slow clearing of excess [K⁺]_o kept the soma membrane depolarized after cessation of the stimulus current. In more severe cases, the model generated recurrent bursts of action potentials resembling "clonic seizures." And, finally, the "cell" went into long-lasting depolarization that resembled SD of live neurons (Figs. 7 and 8). When the pump and the glial buffer functions were readjusted to optimal level, the same stimulus that had triggered SD evoked only regular firing limited in duration by the stimulating current.

View larger version (42K): [in this window] [in a new window]   Fig. 7. Computer simulation of SD recorded in the "soma" of a model neuron. All four panels (A-D) illustrate the same event. The size and the electrotonic properties of the "cell" were modeled after a neuron published in the Duke-Southampton Archive (48). Voltage-gated Na+ and K+ channels and NMDA receptor-operated channels as well as a 3Na+/2K+ exchange pump (Na+-K+-ATPase) were inserted in the cell membrane, which was surrounded by a limited interstitial space. Ion fluxes across the membrane and their effect on ion concentrations and on equilibrium potentials were continuously calculated. Interstitial K+ was incompletely "buffered" by a "glial uptake" function. A and B show the membrane potential in the cell soma and the equilibrium potentials of Na+ and K+ on two different time scales. C and D show the ion concentration changes inside and outside the cell. During the time indicated by the horizontal bar, a depolarizing stimulus of 0.2 nA was applied for 500 ms. During the stimulation, the cell fired action potentials at a high frequency, and it gained Na+ from and lost K+ to the interstitial fluid. After the stimulation there was accelerating afterdischarge under the influence of the continued elevation of the [K+]o/[K+]i, but the spikes became smaller until inactivation silenced the firing. Depolarization continued, however, under the influence of the persistent (slowly inactivating) Na+ current (INa,P), as well as the NMDA-dependent current (INMDA), which grew under the influence of the rising [K+]o. The combined action of the Na+/K+ exchange pump and the glial buffer then began to return the K+ concentrations toward normal, and the depolarization came abruptly to an end with an undershoot of membrane potential (Vm) followed by undershoot of K+ equilibrium potential (EK). [From Kager et al. (162).]

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