Untangling Cortico-Striatal Connectivity and Cross-Frequency Coupling in L-DOPA-Induced Dyskinesia

We simultaneously recorded local field potentials (LFPs) in the primary motor cortex and sensorimotor striatum in awake, freely behaving, 6-OHDA lesioned hemi-parkinsonian rats in order to study the features directly related to pathological states such as parkinsonian state and levodopa-induced dyskinesia. We analyzed the spectral characteristics of the obtained signals and observed that during dyskinesia the most prominent feature was a relative power increase in the high gamma frequency range at around 80 Hz, while for the parkinsonian state it was in the beta frequency range. Here we show that during both pathological states effective connectivity in terms of Granger causality is bidirectional with an accent on the striatal influence on the cortex. In the case of dyskinesia, we also found a high increase in effective connectivity at 80 Hz. In order to further understand the 80-Hz phenomenon, we performed cross-frequency analysis and observed characteristic patterns in the case of dyskinesia but not in the case of the parkinsonian state or the control state. We noted a large decrease in the modulation of the amplitude at 80 Hz by the phase of low frequency oscillations (up to ~10 Hz) across both structures in the case of dyskinesia. This may suggest a lack of coupling between the low frequency activity of the recorded network and the group of neurons active at ~80 Hz.


INTRODUCTION
The basal ganglia (BG) represent subcortical structures thought to be involved in action selection and decision making (Redgrave et al., 1999;Grillner et al., 2005). Dysfunction of the BG circuitry leads to many motor and cognitive disorders such as Parkinson's disease (PD), Tourette's syndrome, Huntington's disease, and obsessive compulsive disorder (Albin and Young, 1989;DeLong, 1990;Singer et al., 1993;Wichmann and DeLong, 1996;Bergman et al., 1998;Blandini et al., 2000;Obeso et al., 2000;Brown, 2002;Leckman, 2002;Albin and Mink, 2006;Hammond et al., 2007;Tippett et al., 2007;Starney and Jankovic, 2008;Evans et al., 2009;André et al., 2011). The striatum, the input stage of the BG, is an inhibitory network that contains several distinct cell types and receives massive excitatory inputs from the cortex (Webster, 1961;Kincaid et al., 1998;Zheng and Wilson, 2002;Belić et al., 2015a). The cortex sends direct projections to the striatum, while the striatum can only indirectly affect the cortex through other BG nuclei and thalamus (Oldenburg and Sabatini, 2015). Understanding the complex nature of cortico-striatal interactions is of crucial importance for clarifying the overall functions and dysfunctions of the BG.
PD is the most common movement disorder and is observed in ∼1% of the population over the age of 60 (Tanner and Ben-Shlomo, 1999;Mayeux, 2003). Although dopamine replacement therapy with L-DOPA is the most effective treatment for PD, within 5 years of starting the treatment, up to 80% of patients will experience severe side effects and develop L-DOPA-induced dyskinesia characterized by abnormal involuntary movements (Bezard et al., 2001;Fabbrini et al., 2007;Thanvi et al., 2007;Pisani and Shen, 2009). L-DOPAinduced dyskinesia is believed to result from abnormal plasticity in the dopaminoceptive brain regions (Cenci and Konradi, 2010), although the neural mechanisms underlying it are unfortunately still far from clear. Thus, animal models are crucial to study L-DOPA-induced dyskinesia and develop potential new therapies (Cenci et al., 2002;Nadjar et al., 2009). Oscillations are present at many levels in the BG and a wide range of characteristic frequencies have been reported to occur during both health and disease (Boraud et al., 2005;Belić et al., 2015b). Neuronal oscillations, reflecting the synchronized activity of neuronal assemblies, are proposed to play a major role in the long-range coordination of distinct brain regions (Fries, 2005). Oscillations may interact with each other in the way that the amplitude of high frequency activity occurs at a particular phase of a low frequency band, which has been reported to happen in the BG, the hippocampus and the neocortex (Canolty et al., 2006;Jensen and Colgin, 2007;Tort et al., 2008Tort et al., , 2009Cohen et al., 2009;de Hemptinne et al., 2013). Such crossfrequency coupling has been proposed to coordinate neural dynamics across spatial and temporal scales (Aru et al., 2015). It has also been suggested that the activity of local neuronal populations oscillates at lower frequencies and that smaller ensembles are active at higher frequencies. Cross-frequency coupling may, therefore, serve as a mechanism for the transfer of information from large-scale brain networks operating at the behavioral time scale to the smaller group of neurons operating at a faster time scale (Buzsaki, 2006;Canolty and Knight, 2010;Aru et al., 2015).
We simultaneously recorded local field potentials (LFPs) in the primary motor cortex and dorsolateral striatum in order to study L-DOPA-induced dyskinesia in 6-OHDA lesioned hemi-parkinsonian rats. LFP recordings generally provide a useful measure of the synchronized activities of local neuronal populations. Here, we employ LFP signals to study the directed influence between the cortex and the striatum as well as cross-frequency coupling in the control (un-lesioned hemisphere before drug application), parkinsonian (lesioned hemisphere before drug application) and dyskinetic (lesioned hemisphere after drug application) states. To investigate directional interactions in cortico-striatal networks in these paradigms, we employed Granger causality as a well-established effective connectivity metric. We found that for pathological states, effective connectivity is bidirectional with an accent on the striatal influence on the cortex. In the case of L-DOPA-induced dyskinesia, we observed a high increase in effective connectivity at ∼80 Hz. Interestingly, in the dyskinetic state, our results showed a large relative decrease in the modulation of the LFP amplitude at ∼80 Hz by the phase of low frequency oscillations, suggesting a lack of coupling between the low frequency activity of a presumably larger population and the synchronized activity of a presumably smaller group of neurons active at 80 Hz. This work demonstrates the bidirectional nature of influence between the cortex and the striatum for pathological states, as well as the lack of synchronization between low frequencies and those at ∼80 Hz in the dyskinetic state, which to the best of our knowledge have not been reported before.
Part of these results was previously presented in the form of an abstract (Belić et al., 2015c).

MATERIALS AND METHODS
Seven adult female Sprague Dawley rats (230-250 g) were used in this study ( Figure 1A). All experiments were approved in advance by the Malmö/Lund ethical committee on animal experiments. A more detailed description of the 6-hydroxydopamine lesions, electrodes, surgery, experiments and signal acquisition can be found in Halje et al. (2012).

Electrodes and Implantation Surgery
Electrodes were manufactured for bilateral implantation in the forelimb area of the left and right primary motor cortex (MI; center coordinates: AP, +1.5; ML, ±2.8; DV, −1.0 from the bregma and cortical surface) as well as the left and right dorsolateral striatum (DLS; center coordinates: AP, +0.2; ML, ±3.8; DV, −3.5 from the bregma and cortical surface) ( Figure 1B). More specifically, formvar-insulated tungsten wires (33 µm; California Fine Wire Co.) were arranged into four 4 × 5 arrays with 250 µm spacing in each dimension and cut to the length corresponding to the implantation site for each array. Each array consisted of 16 recording channels, two reference channels and one stimulation channel (not used in this study; Figure 1C). Reference wires were positioned in cell sparse regions superficial to the recording sites and 200 µm silver wires were used for the ground connection. The  Halje et al., 2012). Coronal plane indicating vertical positions for the cortex (the left panel) and the striatum (the right panel) together with AP positions. Electrodes were implanted bilaterally. (C) The electrodes were arranged over four structures: the left primary motor cortex, the right primary motor cortex, the left sensorimotor striatum and the right sensorimotor striatum. Each array consisted of 16 recording channels, two reference channels (marked in red) and one stimulation channel (marked in green and not used in this study). (D) Extracted LFPs from the intact and lesioned hemisphere that represent one epoch for a duration of 2 s. wires were attached to board-to-board-connectors (Kyocera 5602) using conducting epoxy (Epotek EE 129-4). Following implantation, dental acrylic was attached to screws that served as connection points for the electrode ground wire. The animals were allowed to recover for 1 week after implementation and the extent of the lesions was confirmed by tyrosine hydroxylase immunohistochemistry.

Experimental Procedure
Open-field recordings in a transparent cylinder (250 mm in diameter) were performed and the rats' behavior was documented via digital video recordings in parallel with the electrophysiological recordings (synchronized via an external pulse generator; Master-8, AMPI). First, the rat was recorded for 30 min to establish baseline conditions. Second, the rat was intraperitoneally injected with L-DOPA (levodopa methyl ester) and Benserazide (serine 2-(2,3,4-trihydroxybenzyl) hydrazide hydrochloride racemate). Dyskinesia developed 10-20 min post L-DOPA injection and affected the contralateral (parkinsonian) side of the body with abnormal involuntary movements involving the orolingual, forelimb, and axial muscles as well as contraversive rotations. The L-DOPA-induced dyskinesia reached peak severity ∼60 min post L-DOPA injection, and the recordings continued until the dyskinesia diminished spontaneously. The scoring of dyskinesia was conducted off-line according to standard methods for the scoring of abnormal involuntary movements.

Signal Acquisition and Preprocessing
The implant was linked to the acquisition device via a board-to-Omnetics connector adapter. LFPs were recorded using a multichannel recording system (Neuralynx Inc.), filtered between 0.1 and 300 Hz and digitized at 1017 Hz. Channels with exceptional noise level were excluded upon visual inspection. On average this resulted in 14 ± 0.6 channels in the right MI, 11.3 ± 2.9 in the right DLS, 13.26 ± 1.3 in the left MI, and 13.1 ±2 in the left DLS. Only experiments with high quality LFP recordings and a significant duration were included in further analysis (12 experiments in total).
The signals were divided into 2-s epochs ( Figure 1D) and analyzed separately during baseline (referred to as the control state for the intact hemisphere and the parkinsonian state for the lesioned hemisphere) and the peak period of L-DOPA-induced dyskinesia (starting from ∼60 min post L-DOPA injection and referred to as the dyskinetic state for the lesioned hemisphere). The same was done for the un-lesioned hemisphere after levodopa administration. Because no corresponding changes were observed, these data were not included in the figures. All epochs were visually inspected for obvious artifacts prior to any analysis, and 50 epochs were extracted from each of the recordings and each state. Furthermore, 50 Hz power-line components were removed and the LFP data were then standardized for each of the electrodes by subtracting the mean and dividing by the standard deviation (z-score).

Cross-Correlation Analysis of LFPs
In order to quantify synchronization between the cortical and striatal LFPs in the time domain, we first calculated the cross-correlation. The cross-correlation R depends on the time lag τ and is given as: where x n and y n represent normalized signals of length N at sample n. R(τ ) has the maximum value 1 for perfect positive correlations and the minimum value −1 for perfect negative correlations. We calculated the cross-correlation separately for each epoch of each pair of LFP signals (one from the MI and the other from the ipsilateral DLS) for a selected recording and state. The cross-correlation functions were then averaged across each state.

Spectral Analysis and Granger Causality
The power spectra were calculated separately for each epoch of an LFP signal by applying the fast Fourier transform. After subsequent normalization (integral over selected frequency range normalized to unity), the spectra were averaged across all epochs for each LFP signal.
In order to quantify synchronization between the cortical and striatal LFPs in the frequency domain, coherence was estimated using standard Fourier analysis. For each epoch and each pair of LFP signals (one from the MI and the other from the ipsilateral DLS) for a selected recording and state, the magnitude-squared coherence C at frequency f was estimated to: where P xy (f ) is the cross-power spectral density between signals x and y, and P xx (f ) and P yy (f ) correspond to the auto-power spectral densities of x and y, respectively. Pairwise coherence was subsequently averaged across matching epochs. Symmetric measures like the cross-correlation function in the time domain and the coherence function in the spectral domain are not sufficient in studies that also aim to identify directed "causal" interactions from time series data. Wiener-Granger causality (G-causality) (Granger, 1969) is a powerful statistical method that provides a solution to this problem. Prediction in the G-causality is based on Vector Auto Regressive (VAR) modeling and is suitable to be applied to continuous signals as well, unlike to some other measures such as transfer entropy (Kaiser and Schreiber, 2002). Therefore, G-causality has been widely used to detect functional connectivity in neuroscience studies (Ding et al., 2006;Seth, 2010;Barrett et al., 2012;Seth et al., 2015).
Simply put, a variable x is said to G-cause a variable y if the past of x contains information that helps to predict the future of y over and above information already in the past of y ( Barnett and Seth, 2014). The following equations show the predictability of both x and y over one another.
where p is the model order (maximum number of lagged observations included in the model), the matrix A contains the coefficients of the model, and E 1 and E 2 are residuals for each time series. Thus, x (y) G-causes y (x) if the coefficients in A 12 (A 21 ) are significantly different from zero. Spectral G-causality from x to y measures the fraction of the total power at frequency f of x that is contributed by y (Geweke, 1982;Ding et al., 2006;Seth, 2010). If we apply the Fourier transform to these equations we get where matrix A is given as: which can be rewritten in the following form: where H is the transfer matrix that maps the amplitude and phase of the residuals to the spectral representations of x and y. So, the spectral matrix S p can be given as in which the apostrophe denotes the matrix complex conjugation and transposition, and is the covariance matrix of the residuals. The spectral G-causality (from j to i) is where S ii (f) is the power spectrum of variable i at frequency f.
We here used this approach to obtain statistical measures on the primary directionality of information transfer between different brain structures. We computed the spectral G-causality by employing the MVGC Multivariate Granger Causality Toolbox (Barnett and Seth, 2014). We pooled data from all epochs for each state and calculated the cortico-striatal interactions in terms of G-causality for each pair of LFP signals. The VAR model order was estimated by using the Akaike Information Criterion (Akaike, 1974).

Cross-Frequency Coupling
In order to estimate cross-frequency coupling, we calculated the modulation index as described in Tort et al. (2008). The measure is defined as an adaptation of the Kullback-Leibler distance and calculates how much an empirical amplitude distribution-like function over phase bins deviates from the uniform distribution. Thus, it is able to detect the phase-amplitude coupling between two frequency ranges of interest. A value of 0 corresponds to a lack of phase-to-amplitude modulation, while larger values represent stronger phase-to-amplitude modulation. For our purposes, time series of the phases were obtained for a lower frequency range with 2-Hz bandwidths and 1-Hz steps (i.e.,

Statistical Analysis
The values in different groups were compared using the Mann-Whitney U-test and a p < 0.05 was considered statistically significant.

The Dyskinetic State is Related to High Frequency Oscillations and Increased Coherence between the Cortex and Striatum at ∼80 Hz
We first characterized and compared the LFPs during the different states by estimating the power spectral density. Overall, we were able to confirm earlier findings (Halje et al., 2012), i.e., we observed an increase in power in the high beta band (20-30 Hz) when comparing the parkinsonian state to the control state (Figures 2A,C). This power increase was present in both the MI and DLS of the lesioned hemisphere, although it was more prominent in the DLS. In the time domain, we also observed higher voltage fluctuations in both the MI and DLS of the lesioned hemisphere across different electrodes and recordings ( Figure 1D). In the dyskinetic state, these fluctuations were significantly reduced, as was the power in the high beta band. This suppression in combination with an activity-dependent broad-band increase in the gamma band created a marked flattening of the power spectrum in the range ∼20-60 Hz. However, in conjunction with dyskinetic symptoms, another phenomenon in the form of a strong narrowband oscillation at ∼80 Hz emerged (Figure 2B; see also Halje et al., 2012;Richter et al., 2013;Dupre et al., 2016). This oscillation was stable and similar for different electrodes and recordings but was never observed in either the MI or DLS in the lesioned hemisphere during baseline (i.e., parkinsonian state Figure 2A). More importantly, a previous study has shown that this oscillation is completely absent from the un-lesioned hemisphere during L-DOPA-induced dyskinesia (Halje et al., 2012). For this reason, the following analysis focusses on the parkinsonian and the dyskinetic state, as well as the control state (i.e., the un-lesioned hemisphere before L-DOPA administration, resembling healthy conditions).
Next, we calculated the coherence between the MI and DLS in order to obtain a frequency-domain measure of the relationship between these two structures. In the parkinsonian state ( Figure 3A) we observed an increase of coherence values for low frequencies (<10 Hz) and the high beta band. Those increased coherence values were not present in either the dyskinetic or the control state (Figures 3B,C, respectively). In the dyskinetic state, a prominent peak coherence value could instead be observed at 80 Hz ( Figure 3C). Overall these results demonstrated the existence of strong cortico-striatal synchronicity at 80 Hz during L-DOPA-induced dyskinesia in all recordings ( Figure 3D).

Cross-Correlation Analysis Revealed Symmetric Values for Both Pathological States but Not for the Control State
Coherence per se does not provide information about the direction of coupling (which population leads in time) between the cortical and striatal structures. In order to study the temporal relationship between recorded signals in the cortex and the striatum, we thus performed cross-correlation analysis as a first step. For the lesioned hemisphere cross-correlation analysis revealed symmetric values, both in the parkinsonian and the dyskinetic state ( Figure 4A, left and right plot, respectively). In contrast, cross-correlation analysis showed asymmetric values for the control state observed for lag values between 50 and 1000 ms ( Figure 4B). In fact we saw increased values when we assumed that the striatal signals were shifted forward in time compared to the opposite scenario. One explanation could be that the cortical population is driving and the striatal population is lagging (however, see also Sharott et al., 2005).

The Effective Cortico-Striatal Connectivity is Bidirectional for the Pathological States and Has a Peak at ∼80 Hz in the Dyskinetic State
In a state where we know cortical activity causes striatal activity an analysis of directionality would only confirm this fact. However, in awake behaving animals and in pathological states the main directionality is generally not known and have been reported to depend on the frequency range investigated and even the amount of neuromodulators present (Williams et al., 2002). It was therefore relevant to conduct this analysis in the present study. We accordingly justify application of Granger causality by highlighting that symmetric measures like the cross-correlation function in the time domain and the coherence function in the spectral domain are not sufficient in studies that also aim to identify directed "causal" interactions from time series data. Granger causality is a powerful statistical method that provides a solution to this problem.
We evaluated G-causality in the parkinsonian state (Figure 5A), the dyskinetic state ( Figure 5B) and the control state ( Figure 5C). In the parkinsonian state, we observed that effective connectivity is bidirectional with a slight accent on striatal influence on the cortex in the high beta band. In the dyskinetic state, we also found that connectivity was bidirectional with a specifically high increase at ∼80 Hz, which was again more pronounced from striatum to cortex. Finally, in the control state, we observed that G-causality was generally lower and with no pronounced connectivity in neither the high beta band nor the narrow frequency band at ∼80 Hz. Overall, it seems that effective connectivity in cortico-striatal circuits is dynamic and depends on the current network state.
During L-DOPA-induced dyskinesia, we found that the influence of the striatum over the cortex increased most prominently around the 80-Hz peak between 75 and 85 Hz (Mann-Whitney U-test, p < 0.001). In order to study this phenomenon in more detail, we selected all recordings with the same number and position of electrodes ( Figure 1C) present  in both structures (n = 7) and tried to access the network topology in the frequency range 75-85 Hz and low frequencies for comparison ( Figure 6A). Whether two nodes (electrodes) interact or not were represented by a weighted graph, which indicated the magnitude of each interaction given by the size of arrows. First, we assumed that the cortex was the source (i.e., the cortex was driving striatal activity) and calculated the average influence on the striatum over selected frequency bands ( Figure 6B). Next, we assumed that the striatum was the source and the same calculation was repeated ( Figure 6C). Fixed, threshold (mean ± SD of full averaged causal spectra) was used to establish the existence of a link between two particular nodes. We generally observed that for the frequency band between 75 and 85 Hz, the node strength (sum of connection values originating from the particular node) was significantly higher in the case where the striatum was considered as a source (Mann-Whitney U-test, p < 0.001). In this case, it is also worth to note the more heterogeneous network topology.

The Dyskinetic State is Characterized By a Lack of Synchronicity Between a Small Group of Neurons Active at 80 Hz and Neurons Active at Lower Frequencies
Information processing has to be integrated and combined across multiple spatial and temporal scales, and mutually-interacting oscillations would be suitable to regulate multi-scale integration (Canolty and Knight, 2010). It has been suggested that the activity of local neural populations is modulated according to the global neuronal dynamics in such a way that populations oscillate and synchronize at lower frequencies while smaller, local ensembles are active at higher frequencies. In one variety of those interactions, the phase of low frequency oscillations modulates the amplitude of high frequency oscillations. In order to further study the 80-Hz phenomenon, we thus calculated the phase-amplitude coupling between low frequencies (1-13 Hz) and high gamma frequencies (60-90 Hz). Contrary to the parkinsonian state where mutual interactions show no consistent structure (Figure 7A), a characteristic pattern was observed in the dyskinetic state ( Figure 7B). In this state, we saw a large relative decrease in the modulation of the amplitude at 80 Hz by the phase of low frequency oscillations. We tested a broad range of frequencies and the modulation of the amplitude at 80 Hz was just observed by the phase of low frequency oscillations (<13 Hz). The findings were very robust and observed in each animal. We have also seen certain increase in amplitude around ∼ 70-75 Hz followed by a sharp fall around 80 Hz, but there is quite a difference in the relative size of these changes. In the control state, a distribution similarly disorganized as that in the parkinsonian state was observed ( Figure 7C). Phase-amplitude coupling slightly decreased for low phase frequencies and reached their minimum at around 4-5 Hz for both the MI and DLS, before increasing again toward higher phase frequencies (Figure 8). Therefore, our results unexpectedly suggest a lack of coupling between the low frequency activity of a presumably larger population and the synchronized activity of a presumably smaller group of neurons active at 80 Hz in the case of dyskinesia.

DISCUSSION
The cortico-striatal network is central to the control of motor functions, as is apparent from the broad range of movement disorders that are caused by dysfunctions of the circuitry. The striatum receives massive cortical excitatory input and is densely innervated by dopamine from the substantia nigra pars compacta. It is furthermore segregated into two functionally distinct pathways, where the neurons of the direct pathway predominantly express dopamine D1 receptors and presumably facilitate movements, while the indirect pathway neurons predominantly express dopamine D2 receptors and presumably inhibit movements (Smith et al., 2004;Bertran-Gonzalez et al., 2010). Degeneration of dopaminergic neurons has been found to correlate with PD symptoms. While L-DOPA replacement therapy is initially the most effective approach for treating these symptoms, PD patients who receive L-DOPA treatment gradually develop dyskinesia characterized by a variety of abnormal involuntary movements. The classical explanation for the triggering of L-DOPA-induced dyskinesia is the imbalance between the direct and indirect pathways in the striatum. It is suggested that both dopamine D1 and D2 receptors in the striatum are excessively stimulated, leading to an overshoot of activity in the direct pathway and an undershoot of activity in the indirect pathway. According to an alternative view, dyskinetic symptoms are instead induced by alterations in the functional connectivity of neuronal networks in several parts of the cortico-basal ganglia-thalamic loop, leading to pathophysiological activity patterns at a systems level (Richter et al., 2013). Although over the last few years there has been an increased research effort addressing this issue, the neural mechanisms underlying L-DOPA-induced dyskinesia in PD are still far from clear.
While the cortex sends direct projections to the striatum, the striatum can in turn affect the cortex only indirectly through other BG nuclei and thalamus. Cortico-striatal interactions have been studied at the single neuron level for many years (Oorschot, 1996;Kincaid et al., 1998;Ramanathan et al., 2002;Zheng and Wilson, 2002). However, the underlying mechanisms by which the activities of large populations of cortical and striatal neurons are coordinated in healthy and pathological states are still unclear (Sharott et al., 2005). Here, we simultaneously recorded LFPs (i.e., population signals) in the cortex and striatum in order to study L-DOPA-induced dyskinesia in hemi-parkinsonian rats. The underlying mechanisms of striatal LFPs are not well understood, but they are thought to be important for control of behavior (Berke et al., 2004;Berke, 2009;Van Der Meer and Redish, 2009;Van Der Meer et al., 2010). We used G-causality to study the direction of activity in the cortico-striatal network, and provide new insights into the network's functional organization in terms of directed coherence. These causality measures should be viewed as probabilistic but can nevertheless in many situations provide indirect information on underlying mechanistic relations. So far, only three studies have investigated directed interactions in the cortico-striatal loop of rats: directed measures were used to study interactions in the BG structures of healthy anesthetized rats (Sharott et al., 2005), healthy freely behaving rats (Nakhnikian et al., 2014) and in a rat model of epilepsy (David et al., 2008). Thus, for the first time, directed measures are here employed to study the pathological states of PD and L-DOPAinduced dyskinesia in rats. We found that effective connectivity is generally bidirectional for both pathological states, with a peak at ∼80 Hz in both directions in the dyskinetic state. Somewhat unexpectedly, this peak was larger in the direction from the striatum to the cortex than vice versa (notably similar results have however previously been reported for high-frequency oscillations following levodopa treatment between cortex and STN; Williams et al., 2002). This indicates that, in the dyskinetic state, the coupling in the striato-thalamic loop via other BG nuclei is rather strong at ∼80 Hz. In the control state, we observed that Gcausality was generally lower but still bidirectional, with more coherence being directed from cortex to striatum. Any effect on movements and posture generated by lesions in one hemisphere necessarily affect the other hemisphere. Further experiments will be necessary to address the role of thalamic inputs to the striatum, and, more generally, the feedback dynamics of the cortex-basal ganglia-thalamic loop.
In order to further investigate the 80-Hz phenomenon, we analyzed phase-amplitude coupling between low and high frequencies before and after L-DOPA administration. How neural activity is coordinated between different spatio-temporal scales is one of the most important questions in neuroscience. It has been suggested that slow oscillations are necessary for network synchronization over large distances, whereas faster gamma rhythms serve to synchronize assemblies that encompass neighboring cells (Jensen and Colgin, 2007;Aru et al., 2015). Therefore, gamma oscillations that appear at a particular phase of a lower frequency can be a sign of an integrative process. Phaseamplitude coupling has been investigated across different brain structures and is considered to have profound implications for normal brain functions (Canolty et al., 2006;Jensen and Colgin, 2007;Tort et al., 2008Tort et al., , 2009Cohen et al., 2009;de Hemptinne et al., 2013). Here, we report for the first time characteristic patterns for phase-amplitude coupling in the dyskinetic state in both the cortex and the striatum. We have seen a large relative decrease in the modulation of the amplitude at ∼80 Hz by the phase of low frequencies (up to ∼10 Hz). Therefore, our results unexpectedly suggest a lack of coupling between the low frequency activity of a presumably larger population and the synchronized activity of a presumably smaller and potentially partially overlapping, group of neurons active at 80 Hz. Recently, another study reported decreased coupling between the phase of the beta rhythms and the amplitude of broadband activity in the primary motor cortex upon acute therapeutic deep brain stimulation that correlates with a reduction in parkinsonian motor signs (de Hemptinne et al., 2015). Further experimental and modeling studies could reveal the underlying mechanism of the observed 80-Hz decoupling phenomena.

AUTHOR CONTRIBUTIONS
All authors listed, have made substantial, direct and intellectual contribution to the work, and approved it for publication.