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An investigation of the Wnt-signalling pathway in the prefrontal cortex in schizophrenia, bipolar disorder and major depressive disorder.

The Wnt-signalling pathway has been implicated in a variety of processes including cortical development and plasticity. We have previously demonstrated a reduction in glycogen synthase kinase-3beta (GSK-3beta) levels in the prefrontal cortex in schizophrenia and aimed to further elucidate the abnormalities of the Wnt-signalling pathway in this and other psychiatric disorders. Immunoblotting was performed to quantify the levels of three members of the Wnt-signalling pathway, GSK-3beta, beta-catenin and dishevelled-2 (Dvl-2), in the prefrontal cortex in schizophrenia, bipolar disorder and major depressive disorder and in matched controls. We found no significant differences between the disease and control groups for any of the proteins studied, and therefore, cannot confirm our earlier findings of abnormalities of GSK-3beta in schizophrenia.

Adaptor Proteins, Signal Transducing↗

Opposing effects of dopamine D2 receptor stimulation on the spontaneous and the electrically evoked release of [3H]GABA on rat prefrontal cortex slices.

The spontaneous and the electrically evoked release of [3H]GABA were studied in vitro on slices of rat medial prefrontal cortex. The slices were preincubated with [3H]GABA and then superfused with a Krebs' solution. The superfusion with a Ca(2+)-free medium progressively increased the spontaneous [3H]GABA release and strongly decreased the electrically evoked release of [3H]GABA (-65%). The effects of three dopaminergic D2 receptor agonists (RU24926, lisuride and LY171555) were studied on both the spontaneous and the electrically evoked [3H]GABA release. The spontaneous release of [3H]GABA was increased by exposure to each of these three D2 agonists. RU24926 produced a dose-dependent increase from 10(-9) to 3 x 10(-8) M and the maximal effect was totally abolished by the dopaminergic D2 receptor antagonist sulpiride (10(-5) M). With lisuride a progressive increase of [3H]GABA release was observed and a plateau value was reached with concentrations between 10(-7) and 10(-6) M. These effects were totally reversed by 10(-5) M sulpiride. The dose-response relation for LY171555 was bell-shaped, with a maximal effect being obtained with 10(-9) M) LY171555. This effect decreased with a higher concentration (10(-8) M) and finally was no longer observed for 10(-7) M LY171555. The maximal increase induced by LY171555 was totally abolished by 10(-5) M sulpiride. In contrast, the electrically evoked release of [3H]GABA was inhibited by these three D2 agonists. The IC50 value of the inhibition was 4.1 x 10(-8) M for RU24926 and 2 x 10(-7) M for lisuride. Sulpiride (10(-5) M) totally abolished the effect of 10(-7) M RU24926. In the concentration range of lisuride examined, a 50% reduction of the lisuride inhibition was obtained in the presence of sulpiride (10(-5) M). The dose-response curve obtained with LY171555 had a U-shape, with a maximal inhibition reached with 10(-8) M, whereas no effect was observed with 10(-6) M. The inhibition induced by 10(-8) M LY171555 was completely antagonized by 10(-5) M sulpiride. The D2 agonist-induced inhibition of the electrically evoked release of [3H]GABA was mimicked by dopamine endogenously released by 10(-5) M amphetamine. This effect was reversed by 10(-5) M sulpiride. Our data provide further evidence for a dopaminergic control of GABA interneurons in the prefrontal cortex. This regulation implies the activation of D2 dopaminergic receptors. The possible mechanisms underlying the opposite effects of D2 agonists on the spontaneous and the electrically evoked release of [3H]GABA are discussed.

Amphetamine↗

Subchronic treatment with methamphetamine and phencyclidine differentially alters the adenosine A1 and A2A receptors in the prefrontal cortex, hippocampus, and striatum of the rat.

Subchronic treatment with MAP (4.6 mg/kg, i.p., once daily for 11 days) significantly decreased the Kd, but not Bmax, values of [3H]1,3-dipropyl-8-cyclopentylxanthine ([3H]DPCPX) binding to adenosine A1 receptors in the prefrontal cortex and hippocampus, but not striatum, of rat brain. However, subchronic treatment with PCP (10 mg/kg, i.p., once daily for 11 days) did not alter the Kd and Bmax values of [3H]DPCPX binding to adenosine A1 receptors in these three regions. Subchronic treatment with MAP or PCP did not alter the Bmax and Kd values of [3H]2-p-(2-carboxyehyl)phenethylamino-5'-N-ethylcarboxyamidoadenosine ([3H]CGS21680) binding to adenosine A2A receptors in the striatum. Furthermore, subchronic treatment with MAP or PCP significantly decreased the specific binding of [3H]CGS21680 to adenosine A2A receptors in the hippocampus, but not in the prefrontal cortex. Thus, these results suggest that MAP and PCP may produce differential effects on the adenosine A2A receptors, but not adenosine A1 receptors in rat brain.

Adenosine↗

Separable routes to human memory formation: dissociating task and material contributions in the prefrontal cortex.

The present study used fMRI to investigate functional dissociations across frontal regions during incidental memory formation. Subjects were imaged while encoding materials with differential access to phonological codes (nonfamous faces and nameable famous faces) under task conditions that encouraged elaborate (deep) or superficial (shallow) encoding strategies. Results revealed a functional dissociation between dorsal posterior regions of the prefrontal cortex (BA 6/44) that were sensitive to material type (famous vs. nonfamous), irrespective of the encoding task, and ventral anterior regions of the prefrontal cortex (BA 45/47) that were uniquely sensitive to task demands (deep vs. shallow), regardless of material type. Further, subjects realized a memorial advantage to the extent that they recruited these dissociable frontal regions. These results demonstrate a posterior/anterior dichotomy in the frontal cortex that underlies separable code-based routes to human memory formation.

Adolescent↗

Retrograde degeneration of thalamic neurons in the mediodorsal nucleus after neonatal and adult aspiration lesions of the medial prefrontal cortex in the rat. Implications for mechanisms of functional recovery.

The behavioural consequences of neonatal lesions of the frontal cortex are limited as compared with similar lesions performed in adulthood. The present study has investigated, using unbiased quantitative methods with randomized systematic sampling, the total neuronal cell numbers in the mediodorsal nucleus of the thalamus after aspiration lesions of the medial prefrontal cortex performed in neonatal and in adult rats. It was found that the reduction in total cell numbers after neonatal prefrontal cortex lesions was similar to that found after adult cortex lesions. In neonatally lesioned animals the neuronal cell density was significantly increased by 13%, whereas in adult lesioned animals it was unchanged. On the other hand, the volume of the mediodorsal nucleus was reduced by 27% in neonatally, and 20% in adult lesioned animals. Total neuronal cell number of the mediodorsal nucleus was significantly decreased in neonatally as well as in adult lesioned rats, by 14% and 21%, respectively. These findings are discussed in the light of the previously proposed role of the thalamus as a neural substrate of functional sparing after neonatal cortical lesions.

Animals↗

Effects of phencyclidine (PCP) and MK 801 on the EEGq in the prefrontal cortex of conscious rats; antagonism by clozapine, and antagonists of AMPA-, alpha(1)- and 5-HT(2A)-receptors.

1. The electroencephalographic (EEG) effects of the propsychotic agent phencyclidine (PCP), were studied in conscious rats using power spectra (0 - 30 Hz), from the prefrontal cortex or sensorimotor cortex. PCP (0.1 - 3 mg kg(-1) s.c.) caused a marked dose-dependent increase in EEG power in the frontal cortex at 1 - 3 Hz with decreases in power at higher frequencies (9 - 30 Hz). At high doses (3 mg kg(-1) s.c.) the entire spectrum shifted to more positive values, indicating an increase in cortical synchronization. MK 801 (0.05 - 0.1 mg kg(-1) i.p.) caused similar effects but with lesser changes in power. 2. In contrast, the non-competitive AMPA antagonists GYKI 52466 and GYKI 53655 increased EEG power over the whole power spectrum (1 - 10 mg kg(-1) i.p.). The atypical antipsychotic clozapine (0.2 mg kg(-1) s.c.) synchronized the EEG (peak 8 Hz). The 5-HT(2A)-antagonist, M100907, specifically increased EEG power at 2 - 3 Hz at low doses (10 and 50 microg kg(-1) s.c.), whereas at higher doses (0.1 mg kg(-1) s.c.) the profile resembled that of clozapine. 3. Clozapine (0.2 mg kg(-1) s.c. ), GYKI 53655 (5 mg kg(-1) i.p.), prazosin (0.05 and 0.1 mg kg(-1) i.p.), and M100907 (0.01 and 0.05 mg kg(-1) s.c.) antagonized the decrease in power between 5 and 30 Hz caused by PCP (1 mg kg(-1) s.c.), but not the increase in power at 1 - 3 Hz in prefrontal cortex.

Animals↗

Neuropeptide Y Y(1) and Y(2) receptor mRNA expression in the prefrontal cortex of psychiatric subjects. Relationship of Y(2) subtype to suicidal behavior.

It has been hypothesized that the neuropeptide Y (NPY) system is involved in the pathogenesis of mood disorder. In this study, Y(1) and Y(2) receptor mRNA expression levels were analyzed in the dorsolateral prefrontal cortex of subjects affected with major depression, bipolar disorder, or schizophrenia and compared to normal controls. No significant alterations in Y(1) or Y(2) mRNA expression levels were observed between the groups. However, the Y(2) mRNA expression was elevated in layer IV in subjects with suicide as a cause of death. For the Y(1) mRNA expression, there was a negative correlation with increasing subject age in the prefrontal cortex. Analysis of covariance revealed a significant elevation of the Y(1) mRNA expression levels in individuals with a current history of marijuana use but no other drug. In summary, the current results suggest distinct alterations of the prefrontal Y(1) and Y(2) neuronal populations in aging and suicide.

Adult↗

Competition for priority in processing increases prefrontal cortex's involvement in top-down control: an event-related fMRI study of the stroop task.

Prior work indicates that various aspects of task-irrelevant information (e.g. its salience, task-relatedness, emotionality) can increase the involvement of prefrontal cortex (PFC) in top-down attentional control. In light of these findings, we hypothesize that PFC's involvement increases when task-irrelevant information competes for priority in processing. In an event-related fMRI study using an oddball variant of the Stroop task, we examine the generality of this hypothesis using three manipulations designed to increase the ability of task-irrelevant information to compete for priority in processing. First, we investigated how the frequency of occurrence of task-irrelevant information affects PFC activity. Second, we examined whether conflicting color information (i.e. incongruent trials) increases activity in regions of PFC that are similar to or distinct from those sensitive to infrequently occurring task-irrelevant information. Finally, we examined the impact of the number of levels at which conflict could occur (e.g. non-response only, non-response and response). Activity in posterior-dorsolateral and posterior-inferior PFC increased for infrequently occurring task-irrelevant information, being largest when the task-irrelevant information contained conflicting color-information. In contrast, increases in mid-dorsolateral prefrontal cortex's activity were only noted when conflicting color information was present, being largest when conflict occurred at multiple levels. The anterior cingulate was primarily sensitive to the occurrence of conflict at the response level with only a small sub-region exhibiting sensitivity to non-response conflict as well. From these findings we suggest that posterior DLPFC and PIPFC are involved in biasing processing in posterior processing systems, mid-DLPFC is involved in biasing the processing of the contents of working memory, and ACC is primarily involved in response-related processes.

Attention↗

Gene expression profiling of depression and suicide in human prefrontal cortex.

Mood disorders are a major cause of disability. Etiology includes genetic and environmental factors, but the responsible genes have yet to be identified. Using DNA microarrays, we have conducted a large-scale gene expression analysis, in two regions of the human prefrontal cortex from post-mortem matched groups of subjects with major depression who had died by suicide, and control subjects who died from other causes and were free from psychiatric disorders. Bioinformatic analysis was used to investigate molecular and cellular pathways potentially involved in depression and suicidal behavior. We tested several hypotheses of disease pathology and of their putative molecular impact, including changes in single genes, the existence of subgroups of patients or disease subtypes, or the possibility of common biological pathways being affected in the disease process. Within the analytical limits of this relatively large genomic study, we found no evidence for molecular differences that correlated with depression and suicide, suggesting a pathology that is below the detection level of current genomic approaches, or that is either localized to other brain areas, or more associated with post-transcriptional effects and/or changes in protein levels or functions, rather than altered transcriptome in the prefrontal cortex.

Adult↗

Immunohistochemical and immunoblot study of GABA(A) alpha1 and beta2/3 subunits in the prefrontal cortex of subjects with schizophrenia and bipolar disorder.

A number of investigations have provided a growing body of evidence of the involvement of the gamma-aminobutyric acid (GABA) transmitter system in the pathophysiology of schizophrenia and bipolar disorder. In this study, immunohistochemical and immunoblot techniques were employed in order to examine alterations of the GABA(A) receptor alpha1 and beta2/3 subunits in the prefrontal cortex from postmortem subjects with schizophrenia and bipolar disorder. alpha1 immunoreactivity was observed in the neuropil of the prefrontal cortex and in the neuronal soma in specimens from both groups, as well as from normal controls. alpha1 immunolabeling in the neuronal soma from the schizophrenic group was more intense than that of the other two groups. The distribution of beta2/3 immunoreactivity was similar to that of alpha1. beta2/3 immunolabeling in the neuronal soma from the schizophrenia and bipolar disorder groups was more intense than that of the normal controls. The densitometry measurements, as well as the immunoblot analysis for alpha1 and beta2/3 were highly consistent with the alpha1 and beta2/3 immunohistochemistry results. The present study suggests that the expression of these two GABA(A) receptor subunits was altered in subjects with schizophrenia and bipolar disorder, but that the patterns of change differed between those with these two disorders.

Adult↗

Activity in ventromedial prefrontal cortex covaries with sympathetic skin conductance level: a physiological account of a "default mode" of brain function.

We examined neural activity related to modulation of skin conductance level (SCL), an index of sympathetic tone, using functional magnetic resonance imaging (fMRI) while subjects performed biofeedback arousal and relaxation tasks. Neural activity within the ventromedial prefrontal cortex (VMPFC) and the orbitofrontal cortex (OFC) covaried with skin conductance level (SCL), irrespective of task. Activity within striate and extrastriate cortices, anterior cingulate and insular cortices, thalamus, hypothalamus and lateral regions of prefrontal cortex reflected the rate of change in electrodermal activity, highlighting areas supporting transient skin conductance responses (SCRs). Successful performance of either biofeedback task (where SCL changed in the intended direction) was associated with enhanced activity in mid-OFC. The findings point to a dissociation between neural systems controlling basal sympathetic tone (SCL) and transient skin conductance responses (SCRs). The level of activity in VMPFC has been related to a default mode of brain function and our findings provide a physiological account of this state, indicating that activity within VMPFC and OFC reflects a dynamic between exteroceptive and interoceptive deployment of attention.

Adult↗

Glutamatergic hippocampal formation projections to prefrontal cortex in the rat are regulated by GABAergic inhibition and show convergence with glutamatergic projections from the limbic thalamus.

Anatomic and physiologic studies in the rat have shown projections from the hippocampal formation (HF) and mediodorsal (MD) thalamic nucleus to the medial prefrontal cortex (mPFC). The authors used multi-barrel iontophoresis to: confirm the neurotransmitter used in the projection from HF to mPFC; investigate the role of GABAergic inhibition in the regulation of this projection; and examine the functional convergence of projections from HF and MD onto single mPFC neurons. During HF stimulation, nine cells (6%) showed excitation followed by prolonged inhibition, 39 cells (26%) showed prolonged inhibition alone and 100 cells (68%) showed no clear response. In a further 12 cells that showed no predrug excitation to HF stimulation (representing 16% of the cells in this category), iontophoresis of the GABAA antagonist bicuculline methiodide (BMI) revealed excitatory responses. A total of six mPFC cells (38% of the cells showing excitatory responses to HF stimulation) showed convergent excitation to HF and MD thalamic (or adjacent paratenial nucleus) stimulation. Five out of eight (63%) of the predrug or BMI-revealed excitatory responses of mPFC neurons to HF stimulation were selectively decreased after AMPA antagonist iontophoresis (either CNQX or DNQX). These data confirm that the HF projection to prefrontal cortex is, at least in part, glutamatergic; suggest that the responses of mPFC neurons to activity in this HF pathway are regulated by GABAergic inhibition; and indicate that projections from HF and MD converge onto single mPFC neurons.

6-Cyano-7-nitroquinoxaline-2,3-dione↗

Cellular colocalization of dopamine D1 and D2 receptors in rat medial prefrontal cortex.

In a recent study in rat medial prefrontal cortex (mPFC), a fluorescently coupled, high-affinity ligand for the D1 receptor subtype was localized to nonpyramidal neurons, while a ligand selective for the D2 subtype was found on neurons with a size distribution overlapping with both small pyramidal and large nonpyramidal cells. These observations raised the possibility that a subpopulation of cortical neurons with an intermediate size range may coexpress both the D1 and D2 receptor subtypes. In the present study, the D1 and D2 receptor subtypes have been simultaneously localized in layer VI of rat mPFC using 20 nM SCH 23390-Bodipy and 20 nM N-(p-aminophenethyl) spiperone-Texas red, respectively, in the presence of 100 nM mianserin (5-HT2 receptor antagonist). The localization of receptor binding fluorescence was assessed in paired images using fluoroscein isothiocyanate (FITC) and rhodamine dichroic filters for the D1 and D2 subtypes, respectively. Under the conditions employed here, most cell bodies showed either D1-like or D2-like receptor binding fluorescence, while a colocalization of both fluoroprobes was observed on only 25% of the labeled cells. When the size of each single-labeled cell body was measured using the respective FITC (D1-probe) and rhodamine (D2-probe) epifluorescence filters, the distribution of cells showing only D1-like receptor binding fluorescence was similar to nonpyramidal neurons (68.6 +/- 1.8 microns 2), while that for cells showing only D2-like receptor binding fluorescence was similar to that of both large interneurons and small pyramidal cells (106.9 +/- 2.4 microns 2).(ABSTRACT TRUNCATED AT 250 WORDS)

Animals↗

Inhibition of spontaneous and evoked unit activity in the rat medial prefrontal cortex by mesencephalic raphe nuclei.

The rat medial prefrontal cortex (PFC) receives a serotoninergic (5-HT) innervation which originates from the mesencephalic raphe nuclei. In the present study we determined the influence of the 5-HT ascending systems on the spontaneous and evoked activity of PFC neurons in anesthetized rats. Stimulation of the dorsal (DRN) and of the median raphe (MRN) nuclei inhibited the spontaneous activity of 35.0% and 52.8% of the PFC cells tested (mean duration of the inhibition: 75.5 and 82.2 ms, respectively). These inhibitory responses are likely mediated by the 5-HT-containing neurons since they were decreased markedly following selective destruction of ascending 5-HT pathways induced by local injections of 5,7-dihydroxytryptamine. Moreover, the inhibitory effect of MRN stimulation could be blocked by systemic administration of the 5-HT2 receptor antagonists: ketanserin and ritanserin. The effects of MRN stimulation on two types of evoked responses were studied. The excitatory responses of PFC neurons induced by the stimulation of the mediodorsal nucleus of the thalamus (MD) were inhibited by MRN stimulation applied before that of MD. Similarly, the activation of PFC cells induced by a noxious tail pinch was suppressed by a concomitant stimulation of the MRN. These results indicate that 5-HT neurons exert an inhibitory control on spontaneous or evoked activity in the rat PFC.

5,7-Dihydroxytryptamine↗

Distribution of hippocampal CA1 and subicular efferents in the prefrontal cortex of the rat studied by means of anterograde transport of Phaseolus vulgaris-leucoagglutinin.

Projections of the hippocampal formation to the prefrontal cortex were visualized in the rat by means of the anterograde tracer Phaseolus vulgaris-leucoagglutinin. These projections distribute only to the prelimbic and the medial orbital cortices and arise exclusively from restricted portions of field CA1 of the Ammon's horn and the subiculum. The most dorsal portion of CA1 does not contribute fibers to this projection. In the subiculum, its origin is restricted to the proximal half, i.e., the portion that directly borders field CA1. Fibers from field CA1 and the subiculum have comparable distribution patterns in the prelimbic and medial orbital cortices. The density and distribution in the prefrontal cortex of the projections from the proximal portion of the subiculum depends on the location of the injections along the dorsoventral axis of the hippocampal formation: the intermediate portion of the subiculum projects more densely and diffusely than its dorsal and ventral portions. In the prelimbic cortex, labeled fibers are present in all layers, showing marked morphological differences in deep versus superficial layers. In layers V and VI, most of the fibers are vertically oriented, while in layers II and III they are short and oriented towards the pial surface. Although no clear differences in terminal distribution were observed along the rostrocaudal extent of the prelimbic cortex, its dorsal and ventral portions show different innervation patterns. In the ventral portion of the prelimbic cortex, varicose fibers and terminal arborizations were present in all cortical layers, deep (V and VI) as well as superficial (II and III). In its dorsal part, the innervation was less dense and mostly present in the deep layers (V and VI). The fiber and terminal distribution in the medial orbital cortex was diffuse in all layers with a slight preference for layers deep to layer II.

Animals↗

Delayed stress-induced increase in tissue level of cholecystokinin in rat prefrontal cortex: modulation by microdialysis probe implantation and systemic ketamine.

In the brain, the neuropeptide cholecystokinin (CCK) appears to be involved in the mediation of stress responses. Here we provide new evidence that mild stress induces long-term changes in CCK-like immunoreactivity (CCK-LI) in the prefrontal cortex (PFC). The changes in CCK-LI show a biphasic pattern, with a decrease 20 min after and an increase 8 h after mild stress. These changes seem to be region specific. Measurement of CCK mRNA in prefrontal cortex neurons 4 or 8 h after the stress stimulus did not reveal changes in mRNA levels, suggesting that afferent CCK-containing neuron terminals may be more affected than local cortical CCK-ergic neurons. Furthermore, treatment with the glutamate NMDA receptor antagonist ketamine, led to more pronounced decreases in CCK-LI observed within 20 min after mild stress and counteracted the stress induced increase in cortical CCK-LI levels observed at 8 h. Implantation of a microdialysis probe in the PFC affected the response to mild stress, with no significant decrease in the CCK-LI level 20 min after, and attenuated reactivity to stress 8 h after the saline injection. Our results indicate that a mild stressful stimulus such as an intraperitoneal saline injection may have long-lasting effects on CCK-ergic transmission in the PFC. The use of microdialysis to study stress induced in vivo CCK-LI release in awake animals may, however, be significantly compromised by the impact of the microdialysis probe implantation on CCK-ergic mechanisms in the PFC. In addition, we hypothesize that subanesthetic doses of the psychotomimetic drug ketamine interfere with CCK-ergic mechanisms in the PFC during stress.

Animals↗

Ventral tegmental area afferents to the prefrontal cortex maintain membrane potential 'up' states in pyramidal neurons via D(1) dopamine receptors.

The electrophysiological nature of dopamine actions has been controversial for years, with data supporting both inhibitory and excitatory actions. In this study, we tested whether stimulation of the ventral tegmental area (VTA), the source of the dopamine innervation of the prefrontal cortex, would exert different responses depending on the membrane potential states that pyramidal neurons exhibit when recorded in vivo, and whether VTA stimulation would have a role in controlling transitions between these states. Prefrontal cortical neurons have a very negative resting membrane potential (down state) interrupted by plateau depolarizations (up state). Although the up state had been shown to be dependent on hippocampal afferents in nucleus accumbens neurons, our results indicate that neither hippocampal nor thalamic inputs are sufficient to drive up events in prefrontal cortical neurons. Electrical VTA stimulation resulted in a variety of actions, in many cases depending on the neuron membrane potential state. Trains of stimuli resembling burst firing evoked a long-lasting transition to the up state, an effect blocked by a D(1) antagonist and mimicked by chemical VTA stimulation. These results indicate that projections from the VTA to the prefrontal cortex may be involved in controlling membrane potential states that define assemblies of activable pyramidal neurons in this region.

Animals↗

Influences of rewarding and aversive outcomes on activity in macaque lateral prefrontal cortex.

Both appetitive and aversive outcomes can reinforce animal behavior. It is not clear, however, whether the opposing kinds of reinforcers are processed by specific or common neural mechanisms. To investigate this issue, we studied macaque monkeys that performed a memory-guided saccade task for three different outcomes, namely delivery of liquid reward, avoidance of air puff, and feedback sound only. Animals performed the task best in rewarded trials, intermediately in aversive trials, and worst in sound-only trials. Most task-related activity in lateral prefrontal cortex was differentially influenced by the reinforcers. Aversive avoidance had clear effects on some prefrontal neurons, although the effects of rewards were more common. We also observed neurons modulated by both positive and negative reinforcers, reflecting reinforcement or attentional processes. Our results demonstrate that information about positive and negative reinforcers is processed differentially in prefrontal cortex, which could contribute to the role of this structure in goal-directed behavior.

Analysis of Variance↗