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The results of expressing a constitutive form of a prominent synaptic kinase in transgenic mice suggest how there can be a sliding threshold for synapse modification, an important element in some learning theories.
Experimental neuroscientists who work on synaptic plasticity usually spend their time down at the molecular level investigating basic mechanisms, whereas theoreticians who inhabit the abstract world of neural network models hardly ever consider biochemical events. So it is rare, but extremely gratifying, when an advance on one front actually clarifies the picture on another. A case in point is a set of studies from Mayford, Kandel and colleagues, published recently in Cell [1] [2] . These papers describe the functional and behavioral effects of expressing in transgenic mice a constitutively active, mutant form of a key synaptic enzyme, the isoform of calcium– calmodulin– dependent kinase II (CaMKII) [3] [4] . CaMKII is known to be important for stable changes in synaptic strength — both hippocampal long-term potentiation (LTP) and long-term depression (LTD) [5] [6] [7] [8] . Mayford et al. [1] introduced into mice a transgene encoding an altered form of CaMKII — CaMKII(T286D), in which threonine 286 is replaced by aspartic acid to mimic the effect of autophosphorylation; this change makes the enzyme constitutively active even in the absence of calcium or calmodulin [3] [4] . When the basic synaptic physiology of these transgenic lines was tested, the resting or basal synaptic strength appeared normal, and synaptic plasticity appeared not to have been directly induced. Strikingly, however, a fascinating change was seen to have occurred in the rules governing plasticity. Synaptic stimulation at a frequency that would have induced a slight LTP in wild-type mice instead induced robust LTD in the mutants. Furthermore, the amount of depression induced correlated well with the level of calcium-independent CaMKII activity achieved. These results strongly indicate that the genetic manipulation specifically altered the decision-making mechanisms for plasticity — exemplifying a phenomenon that has long interested neural theorists [9] , and that has recently been termed 'metaplasticity' (W.C. Abraham, personal communication, and [10] ). A simple example of metaplasticity is shown in
Fig. 1
. Consider a synaptic pathway that gives a fixed response
(shown as an excitatory postsynaptic potential in
Fig. 1a
) under basal conditions, and that undergoes LTP when subjected
to an inducing stimulus pattern (*). Now suppose that, after
a special intervention (†), the same stimulus pattern (*)
instead causes LTD. The changeover from one form of synaptic
strength change to another is a kind of plasticity of plasticity, or
'metaplasticity' (W.C. Abraham, personal communication, and
[10]
). Notice that the metaplastic change might be tricky to
detect — the obvious functional properties of the neurons need
not change at all. Instead of seeing a change in synaptic strength
itself, the experimenter might only see a change in the rules
used by the neurons to change synaptic strength. For example,
hippocampal or cortical synapses appear to implement a well-defined
function for altering their strength in response to different
inducing frequencies: lower stimulation frequencies induce
LTD, and higher frequencies produce LTP
[11]
. Metaplasticity might involve a change in the threshold
frequency,
m, that separates net LTD from net
LTP (
Fig. 1b
). A situation in which this sort of change may be very
important for neural processing is illustrated in
Fig. 2
. Note that, although we have focused on synaptic modification,
changes in dendritic integration or spike threshold would also
suffice to alter the way that decisions about neuronal firing
are made. |
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Can metaplasticity actually occur in the brain? In recent years, a number of groups have reported synaptic phenomena that can clearly be classified as metaplasticity [12] [13] [14] , and some have provided initial clues as to its mechanism. Huang et al. [12] showed that synaptic activity which does not itself cause a stable synaptic strength change can prevent later LTP, by a mechanism requiring calcium influx through N-methyl-D-aspartic acid (NMDA) receptors. In their hands, the metaplasticity was synapse-specific and lasted less than an hour. Similarly, O'Dell and Kandel [13] observed a transient prevention of later LTP by prior non-plasticity-inducing synaptic activity, and went on to show that this metaplasticity required activation of protein phosphatases. Other studies have suggested the involvement of a protein kinase C in this kind of metaplasticity [15] [16] . How might metaplasticity be stored in a neuron? Covalent modification of proteins is a plausible biochemical mechanism. One of the first possibilities to be considered was phosphorylation of the NMDA receptor itself [17] . If this modification were to reduce calcium entry through activated NMDA receptors, synaptic stimuli that normally induce LTP might fail to do so, as in the experiments of Huang et al. [12] and O'Dell and Kandel [13] . On the other hand, Mayford et al. [1] considered that the storage of metaplasticity might involve an intracellular signalling enzyme downstream of the NMDA receptor [17] — the subunit of CaMKII. Mayford et al. [1] analyzed two lines of transgenic mice expressing different copy numbers of the gene for the calcium-independent mutant enzyme CaMKII(T286D). Biochemical experiments using hippocampal extracts showed that basal calcium-independent activity of the enzyme was appropriately elevated in the mutants. The central finding was that this increase in calcium-independent CaMKII activity in the transgenic mice was sufficient to induce metaplasticity, favoring LTD over LTP (as in Fig. 1 ). The authors went on to show that the variations in constitutively active CaMKII levels might actually regulate decision-making about plasticity under physiological circumstances, during brain development or following a bout of intense synaptic activity. First, consistent with previous work on young rats [18] , Mayford et al. [1] showed that, in wild-type mice, basal calcium-independent CaMKII activity was higher in young animals than in adults, in parallel with the prominence of LTD in young animals. They also found that the quantitative relationship between enzymatic activity and the propensity for LTD was the same for transgenic as for wild-type mice; no more LTD was observed in young transgenic animals than in either young wild-type or adult transgenic animals. Thus, youth and CaMKII(T286D) transgene expression appear to occlude each other's effect on synaptic plasticity. Next, experiments were conducted to test the effects of combining high-frequency stimulation and expression of CaMKII(T286D). It was already known that high-frequency stimulation can produce long-term increases in hippocampal calcium-independent CaMKII activity [19] [20] , while greatly enhancing subsequent LTD (or 'depotentiation') [14] [21] . Mayford et al. [1] found that CaMKII(T286D) expression in transgenic mice occludes the effect of such high-frequency stimulation on the propensity for LTD, in that no more LTD was observed under both conditions than with either alone. The overall conclusion is that the effects on LTD of CaMKII(T286D) expression, youth and high-frequency stimulation are all mutually occlusive. Under all of these conditions, there appears to be a simple and unique relationship between the degree of autonomous CaMKII activity and the propensity for LTD. Taken together, the data constitute strong evidence that long-term modification of CaMKII activity is directly involved in the metaplasticity associated with development and with synaptic input. In a companion paper, Bach, Mayford and colleagues [2] report the results of testing the transgenic mice for behavioral abnormalities in two hippocampus-dependent learning tasks. Strikingly, the transgenic mice showed deficits in spatial memory, as tested in a Barnes maze. Their contextual fear conditioning, however, was normal, indicating that some types of hippocampus-dependent memory are intact. These results are consistent with the view that metaplasticity is important in spatial memory, but also leave open other possibilities involving developmental effects of the transgene. As intriguing as all this work is, we still do not know how the plasticity threshold is shifted (see box ). CaMKII has at least two possible actions, as a multifunctional kinase, and, given its high concentration in neurons, as a regulatable calmodulin sink. This latter property becomes prominent upon autophosphorylation, which increases the kinase's affinity for calmodulin 400-fold [22] . Perhaps it is the kinase activity of CaMKII that is involved in the weakening of NMDA receptor responses following a bout of low-frequency stimulation [23] . The resulting reduction of calcium influx would be expected to tip the balance away from LTP towards LTD at any frequency. It is unclear whether such changes in NMDA receptor properties can be induced, directly or indirectly, by CaMKII [24] . However, mice lacking CaMKII show brain hyperexcitability, consistent with a role for CaMKII in depressing overall neuronal activity [25] . In another possibility that Mayford et al. [1] considered, the calmodulin-buffering properties of autophosphorylated CaMKII [22] come into play. Presuming that CaMKII(T286D) traps calmodulin as efficiently as the autophosphorylated kinase, it might sequester synaptically-generated calcium– calmodulin, and thereby reduce the effects of calcium– calmodulin on other enzymes. This idea could be tested by looking at metaplasticity in transgenic mice expressing the calcium– calmodulin-binding peptide of CaMKII in the absence of any of its other regulatory or catalytic domains. Mayford et al. [1] found that expression of constitutively active CaMKII in transgenic mice caused neither direct enhancement of synaptic strength nor occlusion of LTP. This is contrary to recent work from Pettit et al. [8] , who introduced the gene for a truncated, constitutively active form of CaMKII into hippocampal slices by means of vaccinia virus infection. Remarkably, the virally-expressed truncated CaMKII by itself caused a potentiation of synaptic strength comparable to, and occlusive with, LTP. This discrepancy between the two reports might stem from a side-effect of the viral infection at 35 °C, or long-term adaptation to a chronic elevation of calcium– calmodulin-independent CaMKII activity in the transgenic mice. A more interesting possibility is that the discrepancy between the results of Mayford et al. [1] and those of Pettit et al. [8] arises from differences between the active forms of CaMKII that were introduced. The T286D mutant that Mayford et al . used [1] would be able to form heteromultimers with wild-type and subunits, and would find its normal cellular location. But the molecule introduced by vaccinia infection was truncated at residue 290, and would therefore be unable to form heteromultimers or to soak up calcium– calmodulin. For these reasons, the use of truncated forms of the enzyme might emphasize different aspects of CaMKII function. Returning to the issue of metaplasticity, the selective alteration to the threshold between net depression and potentiation [1] [2] may be only one of a number of forms of metaplasticity. Based on a reading of the literature, at least two types of metaplasticity might eventually be differentiated on the basis of their temporal properties, degree of synapse specificity and, perhaps, biochemical mechanism. In one type, changes in LTD/LTP induction would be synapse-specific, induced immediately and last approximately an hour [12] [13] . These changes might be implemented by modification of the NMDA receptor itself, or of some other post-synaptic protein, but are unlikely to involve changes in gene expression. Surprisingly, whether CaMKII has a role in such a modification has not yet been tested. Another type of metaplasticity, of the sort envisioned by Bienenstock et al. [9] , would not be strictly synapse-specific, in contrast to the first type. According to their theory, the threshold m should respond to mean activity across the population of synapses, and in turn cause global shifts, if it is to be of advantage in achieving optimal stability and input selectivity. Because this kind of metaplasticity would act more generally, possibly over a slower time scale, changes in gene expression could be involved. At this stage it is unclear whether the metaplasticity studied by Mayford et al. [1] belongs squarely in either of these two categories. In principle, expression of the CaMKII(T286D) transgene could mimic a global, nucleus-dependent change consistent with the latter type of metaplasticity. New gene expression is known to be required for the consolidation of long-term memory [26] , as well as for the stabilization of long-lasting synaptic plasticity [27] ; interestingly, expression of the endogenous gene for CaMKII can be induced by strong synaptic stimulation in hippocampal neurons [28] [29] . Might the arrival of new CaMKII molecules at a synapse support or trigger plasticity? Might it cause metaplasticity, or some other kind of change? Is it possible for the production and/or targeting of new CaMKII molecules to be synapse-specific, as plasticity and metaplasticity can be? Answers to these fundamental questions are likely to require new techniques, perhaps involving imaging and electrophysiology at single synapses.
How can a sharp threshold be achieved? Real biochemical processes do not show an absolute threshold, but are gradually augmented by increasing input. However,two processes that are largely overlapping but of opposite sign can combine together to produce a net effect that changes sign at a crossover point. This point will represent a threshold — an unstable point — if small perturbations on either side lead to runaway deviations from that point. Example of this are the ignition point of a bomb or the threshold for nerve excitation. In the case of excitable tissues, the overlapping processes are an inward current Na + channels and an outward current carried by Na + channels and an outward current carried by K + channels. Activation of these channels is a graded function of membrane depolarization but, in combination, they can produce a sharp threshold (a). In the case of plasticity control, the overlapping processes correspond to the forces underlying potentiation (LTP) and depression (LTD) of synaptic strength. The activation of both these processes is also a graded function of synaptic stimulation strength and, again, in combination a threshold is produced (b). The diagrams are intended to convey system dynamics, and correspond to phase-plane diagrams in which the x axis represents the state of the system, and the y axis represents the derivative of the state. The idea of a sliding threshold is not limited to metaplasticity — that British physiologist A.V. Hill proposed just this concept as a way of accounting for accommodation of spike firing in nerves subjected to slowly rising stimuli. Depolarization was proposed slowly to increase the threshold potential, such that weakly rising stimuli could produce strong depolarization, yet fail to elicit spike firing. What mechanisms could allow a threshold to slide? It may
be helpful to consider how the threshold for spike production
is displaced. In a mechanism uncovered by Hodgkin and Huxley,
the threshold for spike firing is modified by inactivation
of Na+ channels or activation of K+ channels.
These processes are particularly interesting, as they may
persist without a net change in membrane potential. This offers
a possible analogy with modifications of the threshold for
synaptic plasticity (
m) — metaplasticity — that do
not involve a change in synaptic strength as such. Note that
shifts in threshold are not inherently unidirectional, but can go in
either direction, as a result of changes in either the magnitude
of the opposing processes or their dependence on stimulus strength.
Indeed, like changes in the threshold for spike firing, the
modification in
m can shift in favor of LTP
[15]
[30]
or in favor of LTD
[1]
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