| A Novel Presynaptic Inhibitory Mechanism Underlies Paired Pulse Depression at a Fast Central Synapse Neuron, Volume 23, Issue 1, 1 May 1999, Pages 159-170 Mark C Bellingham and Bruce Walmsley Summary Several distinct mechanisms may cause synaptic depression, a common form of short−term synaptic plasticity. These include postsynaptic receptor desensitization, presynaptic depletion of releasable vesicles, or other presynaptic mechanisms depressing vesicle release. At the endbulb of Held, a fast central calyceal synapse in the auditory pathway, cyclothiazide (CTZ) abolished marked paired pulse depression (PPD) by acting presynaptically to enhance transmitter release, rather than by blocking postsynaptic receptor desensitization. PPD and its response to CTZ were not altered by prior depletion of the releasable vesicle pool but were blocked by lowering external calcium concentration, while raising external calcium enhanced PPD. We conclude that a major component of PPD at the endbulb is due to a novel, transient depression of release, which is dependent on the level of presynaptic calcium entry and is CTZ sensitive. Summary | Full Text | PDF (156 kb) |
| Selective Stimulation of Astrocyte Calcium In Situ Does Not Affect Neuronal Excitatory Synaptic Activity Neuron, Volume 54, Issue 4, 24 May 2007, Pages 611-626 Todd A. Fiacco, Cendra Agulhon, Sarah R. Taves, Jeremy Petravicz, Kristen B. Casper, Xinzhong Dong, Ju Chen and Ken D. McCarthy Summary Astrocytes are considered the third component of the synapse, responding to neurotransmitter release from synaptic terminals and releasing gliotransmitters—including glutamate—in a Ca-dependent manner to affect neuronal synaptic activity. Many studies reporting astrocyte-driven neuronal activity have evoked astrocyte Ca increases by application of endogenous ligands that directly activate neuronal receptors, making astrocyte contribution to neuronal effect(s) difficult to determine. We have made transgenic mice that express a Gq-coupled receptor only in astrocytes to evoke astrocyte Ca increases using an agonist that does not bind endogenous receptors in brain. By recording from CA1 pyramidal cells in acute hippocampal slices from these mice, we demonstrate that widespread Ca elevations in 80%–90% of stratum radiatum astrocytes do not increase neuronal Ca, produce neuronal slow inward currents, or affect excitatory synaptic activity. Our findings call into question the developing consensus that Ca-dependent glutamate release by astrocytes directly affects neuronal synaptic activity in situ. Summary | Full Text | PDF (2445 kb) |
| The macro- and microarchitectures of the ligand-binding domain of glutamate receptors Trends in Neurosciences, Volume 21, Issue 3, 1 March 1998, Pages 117-125 Yoav Paas Abstract Over the last decade, a large body of information regarding the amino acid sequences and tertiary structures of many proteins has accumulated. Subtle similarities in sequence patterns identified between glutamate receptors and bacterial periplasmic substrate-binding proteins have suggested that structural kinship exists between these protein families. Many of the bacterial periplasmic binding proteins but none of the glutamate receptors have been crystallized so far. The following article reviews how the resemblance between these two protein families led to computer-assisted structural models of crucial elements involved in ligand binding by various glutamate receptors. A plausible dynamic model of the molecular mechanism of activation and desensitization of glutamate-receptor channels is also discussed. Abstract | Full Text | PDF (465 kb) |
Copyright © 2007 The Biophysical Society. All rights reserved.
Biophysical Journal, Volume 93, Issue 12, 4151-4158, 15 December 2007
doi:10.1529/biophysj.107.111153
Biophysical Theory and Modeling
Yanling Li, Wei Zhou, Xiangning Li, Shaoqun Zeng and Qingming Luo
, 
Address reprint requests to Qingming Luo, The Key Laboratory of Biomedical Photonics, Ministry of Education-Hubei Bioinformatics and Molecular Imaging Key Laboratory, Huazhong University of Science and Technology, Wuhan 430074, People’s Republic of China.Cognitive dysfunction concomitant with some cerebral diseases, such as schizophrenia 1,2 and Alzheimer’s disease 3,4, may result from abnormality of ionotropic glutamate receptors (iGluRs), especially N-methyl-d-aspartate (NMDA) receptors 5,6. However, it is still unclear whether the mechanism mentioned above would occur in various forms of learning dysfunction. In an effort to understand mechanisms of learning dysfunction at a network level from the standpoint of informatics, we first constructed one selective learning model of cultured hippocampal neuronal networks, then studied the dynamic characteristics of response activities in neuronal networks during learning training under normal and depressed levels of iGluRs, respectively, based on the learning model.
The realization of higher functions, such as learning and memory, ultimately relies on information processing, storage, and transmission 7. In these circumstances, the brain may have one universal working principle. Discovering neuronal information encoding is crucial to understanding the basic working principle of the neural system. Although various forms of synaptic plasticity in learning that rely on altering of iGluRs have been considered in previous studies, the evidence is still insufficient from an informatics standpoint. Response activities of the neuronal network during learning training can be modulated by low-frequency electrical stimulation. This is a kind of activity-dependent neuronal plasticity. Thus, study of dynamic characteristics of response activities in the neuronal network during learning is helpful in understanding learning mechanisms at the network level, and could lead to an understanding of the working principle of the neural system. In addition, studying response activities during learning training under abnormal levels of iGluRs is useful for understanding mechanisms of learning dysfunction. In particular, studies carried out in cultured realistic neuronal networks may help us to discover one general mechanism of learning, since cultured neuronal networks could be a simplified model of the complex neural system 8,9.
The dynamics of electrophysiological activities in the neuronal network include primarily spatiotemporal configurations and energy distribution 10,11,12,13,14,15. Spatiotemporal configurations of electrophysiological activities in the brain are thought to contribute to neuronal information encoding and synaptic contacts 7,12, which may play a vital role in the formation of privileged pathways in neuronal population activities. Energy distribution in different characteristic frequencies reflects the functional status of the neuronal network 16. Therefore, determining spatiotemporal configurations and energy distribution of response activities is an important step in discovering the information encoding of neuronal networks during learning.
For cultured neuronal networks, learning is an exploration process that involves formation and modulation of associations between stimuli and responses 17,18,19,20. In fact, learning a new cognitive task is also the selective procedure of appropriate circuits in the neuronal network for information transmission. Repeated cycles of a stimulation procedure could lead to a desired response and learning at the network level. The learning model at the network level can be constructed by applying low-frequency electrical stimuli 17. We modified the learning model by altering stimulation patterns. Using this kind of learning model, dynamic characteristics including spatiotemporal pattern encoding and energy distribution of neuronal response activities in cultured hippocampal networks were studied during learning training under normal and abnormal conditions of iGluRs, respectively.
Hippocampal cells were dissociated from embryonic rats of 18 days and plated on a multielectrode array (MEA). Animal use was in accordance with guidelines approved by Chinese local authorities. Cells were placed in a medium including Dulbecco’s modified Eagle’s medium (DMEM, Gibco, Carlsbad, CA), with 0.5mM Glutamax (Invitrogen, Carlsbad, CA), 10% equine serum (HyClone, Logan, UT), and 10% fetal bovine serum (Gibco). One hundred thousand cells were planted in a 50-μL drop of modified DMEM on an MEA dish that was precoated with polyethyleneimine and laminin. This led to a planting density of 2000cells/mm2 in a monolayer. After half an hour of incubation, 1mL of modified DMEM was added into each dish. After 24h, the planting medium was replaced by a medium including DMEM with 0.5mM Glutamax and 10% equine serum, but with no antibiotics or antimycotics. Cultures were maintained in an incubator at 37°C with 5% CO2. One-half of the medium was changed every 3 days. Experiments were done when neuronal networks were 2–6 weeks in vitro.
Electric activities were recorded with a square array of 60 substrate-embedded titanium nitride electrodes, with a diameter of 30μm and 200-μm spacing (Multi Channel Systems, Reutlingen, Germany). Stimuli were generated by using a four-channel stimulator (Multi Channel Systems). After 1200× amplification, signals were sampled at 25kHz. Thresholds (5×root mean-square noise) were separately defined for each of the recording channels.
A learning model at the network level on the MEA system was constructed by applying 350mV, 200μs, 1Hz pair stimulation, and the neuronal network responded to the stimulation by generating electric activities. The training protocol was similar for Shahaf et al. 17, except that the voltage stimulation mode was used, which consisted of biphasic rectangular voltage pulses and positive phase firsts. Further details can be found in our previous work 21,22. Four response modes were induced in cultured hippocampal neuronal networks during learning within the safe stimulation intensity range. Individual response mode was induced by 350–450mV, 200μs, and 1Hz pair stimulation, mixed response mode was induced by 500–800mV, 200μs, and 1Hz pair stimulation, periodic response mode was induced by 900–1500mV, 200μs, and 1Hz pair stimulation, whereas quasiperiodic response mode was induced by 30–50μA, 200μs, and 1Hz pair stimulation. In this article, the learning model we used was constructed by applying 350mV, 200μs, and 1Hz pair stimulation. Individual response mode was induced by the training mode mentioned above (see Figure 3A).
Once the required response was attained, the stimulus was removed. If the response time (i.e., the time required for the selected electrode to fulfill the response/stimulus ratio (R/S)≥2:10 criterion) decreased gradually in eight trials in the stimulation cycle, the simple learning phenomenon had been induced in the neuronal network. To ensure the stability of response activities in the network during training, we designed another series of experiments. After the first successful training trial, the neuronal network was trained every 0.5h for several hours, and response activities were detected. We found that the R/S did not change much in 4h, which suggested that the response activities were stable. The selective learning phenomenon has been induced if R/S≥2:10 in the selected electrode but not in the monitored electrode.
To compare dynamic characteristics of response activities in cultured hippocampal networks during learning training under normal and abnormal conditions of iGluRs, specific antagonists were applied to the networks. First, the networks were trained to learn successfully; then, 50μM d,l-2-amino-5-phosphonovaleric acid (APV), 50μM 6-cyano-7-nitroquinoxaline-2,3-dione disodium (CNQX), 50μM APV+50μM CNQX, or 2mM Mg2+ was added into the bath solution, the networks were trained again, and response activities of the networks were detected. After that, the medicine was washed out, the networks were trained and the electric activities were recorded again.
Electric activities of neuronal networks were recorded by Mc_Rack, and spike and burst analysis were done with Neuroexplore. Data are expressed as mean±SE, and were normalized by MATLAB (The MathWorks, Natick, MA) programs; t-tests were used to detect differences between the two groups. P<0.05 was considered statistically significant.
The hippocampal neurons cultured on the multielectrode array form numerous synaptic connections (Fig. 1). This is apparent from the observation of various independent activity patterns, especially the synchronized burst activities in the neuronal network (Figure 2A). The results imply that single neurons seldom fire spontaneously without being activated by other neurons in cultured hippocampal networks. In fact, many of the connections observed under the microscope are actually parts of larger groups of connected units in the neuronal network.
In our observation, most cultures showed initial spiking activities at ∼1 week after cell seeding. With few exceptions, complex burst configurations were generated at 2–3 weeks after cell seeding. A raster of spontaneous activities in the neuronal network (21 days in vitro (div)) is shown in Figure 2B. If one spike event occurred, one vertical line is recorded. We observed that spontaneous synchronized oscillatory activities in the neuronal network occurred twice in 300s (Figure 2B). Synchronized oscillatory activity is a major activity mode of mature and high-density dissociated neuronal cultures. Generally, spontaneous activities found in cultured hippocampal networks range from apparently stochastic spiking to organized bursting and even stable, long-term synchronized oscillatory activities.
Spatiotemporal configurations and energy distribution can reflect dynamics of neuronal activities in the network. Temporal configurations of neuronal activities include rate, amplitude, firing probability, and interval of spike. Spatial configurations of neuronal activities include regularity, correlation, and synchrony. In this study, change of temporal configurations, spatial configurations, and energy distribution were used to reflect dynamics characteristic of neuronal response activities in the network during learning training.
Temporal configurations of early postsynaptic responses were changed by special antagonists of iGluRs in the neuronal network during learning training. As shown in Fig. 3, application of 50μM APV decreased the rate and amplitude of early postsynaptic responses by 32% and 37%, respectively. Application of 50μM CNQX decreased these configurations by 76% and 31%, respectively. All synaptic events were abolished by subsequent application of 50μM APV and 50μM CNQX. Application of 2mM Mg2+ reduced the rate and amplitude of early postsynaptic responses by 53% and 24%, respectively. In a word, APV, CNQX, and high-concentration Mg2+ simultaneously inhibited the mean firing rate and amplitude of early postsynaptic responses during learning training. At the same time, the distribution of firing probability of response activities in networks was changed markedly by applying specific antagonists of ionotropic glutamate receptors during learning training (Fig. 4). Briefly, the rate, one of the temporal configurations, was modulated primarily by α-amino-3-hydroxy-5-methyl-4-isoxazole propionate (AMPA) receptors.
Interspike interval (ISI) is defined as the time interval between two consecutive spikes in the spike trains:
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The CV of early postsynaptic responses with 50μM APV was >0.35, which indicated that response activities of the neuronal network during learning training were caused to become irregular by treatment with 50μM APV. However, 50μM CNQX or 2mM Mg2+ seemed to have no effect on the variability of response activities in the neuronal network (Table 1).
| Table 1 CV of early postsynaptic responses during learning training in cultured hippocampal neuronal networks in the absence and presence of pharmacological inhibitors |
| Control | APV | CNQX | Mg2+ | |||
|---|---|---|---|---|---|---|
| σR (ms) | 4.64±0.19 | 13.40±0.64 | 31.70±1.74 | 14.96±0.73 | ||
| μR (ms) | 29.08±1.22 | 36.23±1.63 | 125.09±6.88 | 75.09±3.68 | ||
| CV | 0.16±0.01 | 0.37±0.02 | 0.25±0.01 | 0.20±0.01 | ||
| Values given are for untreated cells (Control) and cells treated with 50μM APV, 50μM CNQX, or 2mM Mg2+ (n=28 experiments in six cultures). CV, coefficient of variation. |
Joint peristimulus time histography (PSTH) is used to estimate correlation and synchrony between two neurons 24,25,26. Here, we used joint PSTH to estimate correlation and synchrony among neuronal units in the neuronal network. Fig. 5 shows examples of correlation and synchrony of response activities between one recording channel and another in physiological solution and during drug treatment. The main joint PSTH matrix shows the correlations between electric activities of two channels. The middle histogram shows the near-coincident correlations. Where the diagonal alignment is clearer, the synchrony is better. The far-right histogram shows the correlations of electric activities of two channels around reference events.
In the case of addition of APV, the disordered status occurred in the neuronal network, as evidenced by an immediate decrease in correlations of response activities (correlation coefficient=0.111) (Fig. 5). Application of CNQX decreased the correlations (correlation coefficient=0.251) of neuronal response activities to a certain extent, along with the synchrony. Since all postsynaptic responses were abolished by subsequent application of 50μM APV and 50μM CNQX, we didn’t evaluate the correlations under such circumstances. In the case of 2mM Mg2+ treatment, the correlations (correlation coefficient=0.312) remained quite similar with respect to the basal value (Fig. 5). In fact, we found a very high variability for Mg2+ experiments in terms of correlation analysis and synchrony analysis, including prosperity and decadence. But the general trend seems to be an immediate depressed response. This high variability of results should be further investigated with respect to the initial activity of the neuronal network.
Statistically (Fig. 6), the correlation and synchrony of response activities within 80ms after stimulus in the neuronal network were both decreased by 72% with 50μM APV and by 48% with 50μM CNQX. However, interestingly, the correlation and synchrony of response activities were increased by 6% and 1%, respectively, with 2mM Mg2+. In brief, spatial configurations of neuronal response activities in the networks, including regularity, correlation, and synchrony, are modulated primarily by NMDA receptors.
In addition, power spectral density (PSD) of early postsynaptic responses at different characteristic frequencies during learning training was changed distinctly with 50μM CNQX. However, it was not changed much by treatment with 50μM APV or 2mM Mg2+ (Fig. 7). The result showed that energy distribution of neuronal response activities in the network was modulated primarily by AMPA receptors. Moreover, the power of low-frequency elements (<10Hz) clearly decreased with 50μM CNQX, which indicated that the fast response component of postsynaptic responses during learning training was controlled primarily by AMPA receptors.
From an informatics point of view, we showed that rate, one of the temporal configurations, was modulated primarily by AMPA receptors; spatial configurations, including regularity, correlation, and synchrony, were modulated primarily by NMDA receptors. Furthermore, we identified that the fast-response component of response activities was produced primarily by AMPA receptors during learning training.
Based on the selective learning model of cultured hippocampal neuronal networks, we analyzed dynamics adopted in spatiotemporal encoding of early postsynaptic response activities in cultured hippocampal neuronal networks during learning training under normal and abnormal levels of iGluRs, respectively. From an informatics standpoint, we determined that rate, one of the temporal pattern encoders, was modulated primarily by AMPA receptors; spatial pattern encoding, including regularity, correlation, and synchrony, was modulated primarily by NMDA receptors. Moreover, we observed that the fast-response component of neuronal activities in the network was produced primarily by AMPA receptors during learning training. Our results are consistent with simulation results, which will help the study of information encoding of neuronal response activities in the networks during learning 27,28.
Understanding learning in real neural networks is one of the central challenges in neuroscience. In an attempt to understand learning dynamics at the network level, we constructed a learning model in cultured hippocampal neuronal networks 21,22, and based on this learning model, we studied dynamics characteristic of response activities during learning under normal and abnormal levels of ionotropic glutamate receptors. We know that activity varies among individual neurons and is not precise. The accurate activities of the neural system require integration of neuronal activities in the network. The integrated neuronal activities of the network are determined by neuronal intrinsic properties, including structural and functional properties, and extrinsic properties, including simultaneous electrical and chemical stimulation 8,29,30,31. In this study, we used low-frequency stimulation to induce stable system-level response activities, and used antagonists to inhibit the function of glutamate receptors in the whole network, thus changing the intrinsic properties and system-level activities of neurons in the network.
Although the learning phenomenon induced in cultured neuronal networks was not in agreement with the views of some researchers, one of our results, long-term potentiation of spontaneous activities in the neuronal network, could illuminate how learning occurs 21. As we know, long-term potentiation is one of the important mechanisms of learning 32,33. Based on the evidence, we considered that some kind of learning was induced in cultured neuronal networks, and that the low-frequency stimulation used here was similar to conditioned stimulation. Moreover, we found that synchronized oscillation in cultured realistic neuronal networks occurred after successful selective learning 21, which suggests that synchronized oscillation was associated closely with learning. Many current studies report that synchronized oscillation is vital to the survival of animals, and plays an especially important role in higher functions of the brain, such as learning, memory, and attention, as well 14,34,35,36,37. Many simulation studies of neuronal models support the above-mentioned results 38,39,40,41. Although the mechanisms of synchronized oscillation in the central neural system are still unclear, a molecular model has been presented that accounts for the main properties resulting from the coupling of a population of circadian oscillators 38.
In this study, one of the purposes was to indicate new possible parameters related to the associated strength and synchrony level among neuronal units, showing that joint PSTH can be utilized in conjunction with more standard parameters for evaluating electrophysiological activities of neuronal networks induced by pharmacological treatment. In fact, the issue of correlation has been deeply investigated to reveal the dynamics of cultured neuronal networks 42,43,44 and has been found to be related to external stimuli 45. These preliminary results suggest that parameters related to the associated strength and level of synchrony among neuronal units could reveal subtle changes in the network dynamics, thus indicating its promising application as a highly sensitive biosensing tool for learning study 46.
As widely demonstrated, mainly by Gross and co-workers 47,48, in vitro neuronal networks coupled to MEA-based devices constitute a suitable experimental model for pharmacological investigation. These systems show both a good sensitivity to neuroactive toxic compounds and reproducible results. Most of the works refer to spinal cord neurons that represent a more robust model in terms of network dynamics. However, hippocampal neurons represent a more interesting and delicate model, likely to be the more advanced adaptive and sensitive system, which could be used for such applications.
In addition, as already stated, hippocampal neurons are less often utilized coupled to MEA-based devices, and therefore, detailed studies of the modulation of electrophysiological activity induced by chemical stimulation still need to be extensively and systematically performed at the network level. However, as foreseen by other investigators, application of MEA-based biosensors in the field of drug discovery seems to hold much future promise 49.
We thank Weihua Luo, Lin Chen, and Yu Huang for helpful comments on the manuscript.
This work was supported by the National Natural Science Foundation of China (grant No. 60478016), the Major Program of Science and Technology Research of Ministry of Education (grant No.10420), and the Joint Research Fund for Overseas Chinese Young Scholars (grant No. 30328014).
1. (2003). Schizophrenia. N. Engl. J. Med. 349, 1738–1749. CrossRef | PubMed
2. (2006). Pathophysiologically based treatment interventions in schizophrenia. Nat. Med. 12, 1016–1022. CrossRef | PubMed
3. (1992). Alzheimer’s disease: a cell biological perspective. Science 256, 780–783. PubMed
4. (1996). Pyramidal neurone modulation: a therapeutic target for Alzheimer’s disease. Neurodegeneration 5, 461–465. CrossRef | PubMed
5. (2007). Posterior cingulate gyrus metabolic changes in chronic schizophrenia with generalized cognitive deficits. J. Psychiatr. Res. 41, 49–56. CrossRef | PubMed
6. (2007). Modeling of context-dependent retrieval in hippocampal region CA1: implications for cognitive function in schizophrenia. Schizophr. Res. 89, 177–190. CrossRef | PubMed
7. (2003). Long-term plasticity of intrinsic excitability: learning rules and mechanisms. Learn. Mem. 10, 456–465. CrossRef | PubMed
8. (2007). Towards neuro-memory-chip: imprinting multiple memories in cultured neural networks. Phys. Rev. E 75, 050901–050904. PubMed
9. (2003). Selective adaptation in networks of cortical neurons. J. Neurosci. 23, 9349–9356. PubMed
10. (2006). Typology of nonlinear activity waves in a layered neural continuum. Int. J. Neurosci. 116, 381–405. PubMed
11. (1997). Associative dynamics in a chaotic neural network. Neural Netw. 10, 83–98. CrossRef | PubMed
12. (2005). Burst detection algorithms for the analysis of spatio-temporal patterns in cortical networks of neurons. Neurocomputing 65–66, 653–662. PubMed
13. (1997). GABAergic modulation of hippocampal population activity: sequence learning, place field development, and the phase precession effect. J. Neurophysiol 78, 393–408. PubMed
14. (1988). Associative neural network model for the generation of temporal patterns. Theory and application to central pattern generators. Biophys. J. 54, 1039–1051. Abstract | | PubMed
15. (2002). Mechanisms for temporal tuning and filtering by postsynaptic signaling pathways. Biophys. J. 83, 740–752. Abstract | Full Text | PDF (221 kb) | PubMed
16. (2005). Adenosine and ATP-sensitive potassium channels modulate dopamine release in the anoxic turtle (Trachemys scripta) striatum. Am. J. Physiol. Regul. Integr. Comp. Physiol. 289, R77–R83. CrossRef | PubMed
17. (2001). Learning in networks of cortical neurons. J. Neurosci. 21, 8782–8788. PubMed
18. (2002). Development, learning and memory in large random networks of cortical neurons: lessons beyond anatomy. Q. Rev. Biophys. 35, 63–87. PubMed
19. (2005). Learning in ex-vivo developing networks of cortical neurons. Prog. Brain Res. 147, 189–199. CrossRef | PubMed
20. (2003). Behaviors from an electrically stimulated spinal cord neuronal network cultured on microelectrode arrays. Neurocomputing 52–54, 661–669. PubMed
21. (2007). Characterization of synchronized bursts in cultured hippocampal neuronal networks with learning training on microelectrode arrays. Biosens. Bioelectron. 22, 2976–2982. CrossRef | PubMed
22. (2007). The learning model in cultured hippocampal neuronal networks. Prog. Biochem. Biophys. 34, 169–175. PubMed
23. (1988). Regularity and latency of units in ventral cochlear nucleus: implications for unit classification and generation of response properties. J. Neurophysiol. 60, 1–29. PubMed
24. (1969). Simultaneously recorded trains of action potentials: analysis and functional interpretation. Science 164, 828–830. PubMed
25. (1972). Mutual temporal relationships among neuronal spike trains. Statistical techniques for display and analysis. Biophys. J. 12, 453–473. Abstract | | PubMed
26. (2005). Trial-to-trial variability and its effect on time-varying dependency between two neurons. J. Neurophysiol. 94, 2928–2939. CrossRef | PubMed
27. (2004). Extracting wave structure from biological data with application to responses in turtle visual cortex. J. Comput. Neurosci. 16, 267–298. CrossRef | PubMed
28. (2006). A recurrent network mechanism of time integration in perceptual decisions. J. Neurosci. 26, 1314–1328. CrossRef | PubMed
29. (2006). Premotor correlates of integrated feedback control for eye-head gaze shifts. J. Neurosci. 26, 4922–4929. CrossRef | PubMed
30. (2003). Formation of electrically active clusterized neural networks. Phys. Rev. Lett. 90, 168101. CrossRef | PubMed
31. (2005). Manifestation of function-follow-form in cultured neuronal networks. Phys. Biol. 2, 98–110. CrossRef | PubMed
32. (2005). The mechanisms and functions of activity-dependent long-term potentiation of intrinsic excitability. Rev. Neurosci. 16, 311–323. PubMed
33. (2005). Molecular mechanisms of the alterations in NMDA receptor-dependent long-term potentiation in hyperammonemia. Metab. Brain Dis. 20, 265–274. CrossRef | PubMed
34. (2005). Hippocampal theta rhythm: a tag for short-term memory. Hippocampus 15, 923–935. CrossRef | PubMed
35. (2005). Analysis of cyclic dynamics for networks of linear threshold neurons. Neural Comput. 17, 97–114. CrossRef | PubMed
36. (1996). Odour encoding by temporal sequences of firing in oscillating neural assemblies. Nature 384, 162–166. CrossRef | PubMed
37. (1997). Consciousness in waking and dreaming: the roles of neuronal oscillation and neuromodulation in determining similarities and differences. Neuroscience 78, 13–38. CrossRef | PubMed
38. (2005). Spontaneous synchronization of coupled circadian oscillators. Biophys. J. 89, 120–129. Abstract | Full Text | PDF (364 kb) | CrossRef | PubMed
39. (1997). Phase sensitivity and entrainment in a modeled bursting neuron. Biophys. J. 72, 579–594. Abstract | | PubMed
40. (1995). Modeling the active process of the cochlea: phase relations, amplification, and spontaneous oscillation. Biophys. J. 69, 138–147. Abstract | | PubMed
41. (1993). Ionic mechanisms for intrinsic slow oscillations in thalamic relay neurons. Biophys. J. 65, 1538–1552. Abstract | | PubMed
42. (2002). Long term behavior of lithographically prepared in vitro neuronal networks. Phys. Rev. Lett. 88, 118102. CrossRef | PubMed
43. (2006). Weak pairwise correlations imply strongly correlated network states in a neural population. Nature 440, 1007–1012. CrossRef | PubMed
44. (2004). Hidden neuronal correlations in cultured networks. Phys. Rev. Lett. 92, 118102. CrossRef | PubMed
45. (2001). Correlated neuronal activity and the flow of neural information. Nat. Rev. Neurosci. 2, 539–550. PubMed
46. (2004). Measuring synchronization in neuronal networks for biosensor applications. Biosens. Bioelectron. 19, 675–683. CrossRef | PubMed
47. (1995). The use of neuronal networks on multielectrode arrays as biosensors. Biosens. Bioelectron. 10, 553–567. CrossRef | PubMed
48. (2001). NMDA receptor-dependent periodic oscillations in cultured spinal cord networks. J. Neurophysiol. 86, 3030–3042. PubMed
49. (2003). Biological application of microelectrode arrays in drug discovery and basic research. Anal. Bioanal. Chem. 377, 486–495. CrossRef | PubMed