Relating size and functionality in human social networks through complexity.

Extensive empirical evidence suggests that there is a maximal number of people with whom an individual can maintain stable social relationships (the Dunbar number). We argue that this arises as a consequence of a natural phase transition in the dynamic self-organization among N individuals within a social system. We present the calculated size dependence of the scaling properties of complex social network models to argue that this collective behavior is an enhanced form of collective intelligence. Direct calculation establishes that the complexity of social networks as measured by their scaling behavior is nonmonotonic, peaking around 150, thereby providing a theoretical basis for the value of the Dunbar number. Thus, we establish a theory-based bridge spanning the gap between sociology and psychology.

Hypomimia in Parkinson's disease: an axial sign responsive to levodopa.

BACKGROUND AND PURPOSE: Hypomimia is a prominent clinical feature in people with Parkinson's disease (PD), but it remains under-investigated. We aimed to examine the clinical correlates of hypomimia in PD and to determine whether this is a levodopa-responsive sign. METHODS: We included 89 people with PD. Hypomimia was assessed from digital video recordings by movement disorder specialists. Clinical evaluation included use of the Unified Parkinson's Disease Rating Scale part III (UPDRS-III), and assessment of motor and non-motor symptoms using standardized clinical scales. The relationships between hypomimia and other clinical data were analysed using Mann-Whitney U-tests and regression analysis. RESULTS: Hypomimia occurred in up to 70% of patients with PD. Patients with hypomimia had worse UPDRS-III 'off-medication' scores, mainly driven by bradykinesia and rigidity subscores. Patients with hypomimia also had worse apathy than patients without hypomimia. Finally, we found that hypomimia was levodopa-responsive and its improvement mirrored the change by levodopa in axial motor symptoms. CONCLUSION: Our study provides novel information regarding the clinical correlates of hypomimia in people with PD. A better understanding of hypomimia may be relevant for improving treatment and quality of life in PD.

Is there evidence of bradykinesia in essential tremor?

BACKGROUND AND PURPOSE: Essential tremor (ET) is a movement disorder primarily characterized by upper limb postural and kinetic tremor. Although still under-investigated, bradykinesia may be part of the phenotypic spectrum of ET. The aim was to evaluate bradykinesia features in ET through clinical examination and kinematic analysis of repetitive finger movements. Data collected in ET patients were compared with those recorded in Parkinson's disease patients and healthy controls. METHODS: Overall, 258 subjects participated in the study (90 ET patients, 84 Parkinson's disease patients and 84 healthy controls). Repetitive finger tapping was kinematically recorded using a motion analysis system. Movement velocity, amplitude and decrement (sequence effect) were measured. The three groups were first compared by one-way analysis of variance. A cluster analysis was also performed to better address the data variability observed in ET patients. Possible relationships between kinematic and clinical data were assessed in ET patients. RESULTS: Essential tremor patients were slower than healthy controls. Movement slowness in ET did not correlate with postural or kinetic tremor severity. It was also found that movement slowness in ET was not associated with a sequence effect, which instead is a common feature in Parkinson's disease. Cluster analysis showed that a proportion of ET patients may have movement abnormalities similar to those observed in Parkinson's disease. CONCLUSIONS: Movement slowness without sequence effect is a common feature in ET patients. The present findings are relevant when interpreted in the context of the new tremor classification system and in the development of a more accurate bradykinesia definition.

Corticobasal syndrome: neuroimaging and neurophysiological advances.

Corticobasal degeneration (CBD) is a neurodegenerative condition characterized by 4R tau protein deposition in several brain regions that clinically manifests itself as a heterogeneous atypical parkinsonism typically expressed in adulthood. The prototypical clinical phenotype of CBD is corticobasal syndrome (CBS). Important insights into the pathophysiological mechanisms underlying motor and higher cortical symptoms in CBS have been gained by using advanced neuroimaging and neurophysiological techniques. Structural and functional neuroimaging studies often show asymmetric cortical and subcortical abnormalities, mainly involving perirolandic and parietal regions and basal ganglia structures. Neurophysiological investigations including electroencephalography and somatosensory evoked potentials provide useful information on the origin of myoclonus and on cortical sensory loss. Transcranial magnetic stimulation demonstrates heterogeneous and asymmetric changes in the excitability and plasticity of primary motor cortex and abnormal hemispheric connectivity. Neuroimaging and neurophysiological abnormalities in multiple brain areas reflect asymmetric neurodegeneration, leading to asymmetric motor and higher cortical symptoms in CBS.

Cerebellum-dependent associative learning deficits in primary dystonia are normalized by rTMS and practice.

Eyeblink classical conditioning (EBCC) is a cerebellum-dependent paradigm of associative motor learning, and abnormal EBCC is a neurophysiological indicator of cerebellar dysfunction. We have previously demonstrated impaired EBCC in patients with primary dystonia, but it remains uncertain if this represents actual cerebellar pathology or reflects a functional cerebellar disruption. We examined this further by: (1) studying acquisition and retention of EBCC in a second session in eight patients with cervical dystonia (CD) who had a first session 7-10 days earlier; and (2) by investigating the potential of continuous theta burst stimulation (cTBS) over the right cerebellar hemisphere to modify a first-ever EBCC session in 11 patients with CD. EBCC data of eight healthy controls previously studied were used for additional between-group comparisons. We observed an improvement of EBCC in a second session in patients with CD, which is in contrast to patients with proven cerebellar pathology who do not show further improvement of EBCC in additional sessions. We also found that cerebellar cTBS paradoxically normalized EBCC in patients with CD, while we previously showed that it disrupts EBCC in healthy volunteers. Combined, these two experiments are in keeping with a functional and reversible disruption of the cerebellum in dystonia, a phenomenon that is probably secondary to either cerebellar compensation or to cerebellar recruitment in the abnormal sensorimotor network.

Empathy at school project: Effects of didactics of emotions® on emotional competence, cortisol secretion and inflammatory profile in primary school children. A controlled longitudinal psychobiological study.

Background: There is mounting evidence of the presence of chronic stress among children during primary school: girls and boys under the age of 15 years often experience anxiety, irritability and sleeping problems with negative consequences on scholastic climate and the spread of bullying and dropping out of school. The promotion of emotion regulation within school environment through innovative didactic methodologies represents a valuable tool for teachers and parents to reduce emotional distress and associated risk behaviours and to promote wellbeing. Aim: Our research aims to explore the psychological and biological consequences of teaching emotional training in an experimental group of Italian Primary School children. Methods: A sample of pupils (81 children aged between 6 and 8) was divided into an experimental group (33 subjects) and a control group (30 subjects). A further advanced group of 18 subjects, who have experienced the method in the previous school year, was also included. The experimental study lasted one school year (from October 2021 to May 2022). The following psychological tests were administered to all groups: TEC (Test of Emotion Comprehension) to measure the children's different emotional abilities and the Projective test (PT) 'A person in the rain', to identify the coping skills of children in a stressful condition. Morning salivary cortisol, IL-6 and TNF-alpha assays were conducted in all three groups. Psychological and biological tests were administered at the beginning of the study and at the end of the study. Results: The MR-Anova model for TEC score showed that there was not a significant group effect [Fgroup = 2.24, p = 0.114]. Pairwise comparisons showed that mean score significantly increased only in the Experimental group (pB < 0.001) and at the end of the project there was a significant difference between Experimental group and Control group (pB = 0.012). The mean score of PT test increased significantly from baseline to the end of the project for the Experimental group (pB < 0.001) and for the Advanced group (pB = 0.004). At the end of the project, there were significant differences between the Experimental group and the Control group (pB = 0.004) and between the Advanced group and the Control group (pB < 0.001). Salivary cortisol analysis revealed a significant effect between subjects [Fgroup = 9.66; p < 0.001] and significant effects within subjects with the main effect of the time [Ftime = 35.41; p < 0.001] and the significant interaction "time x group" [Ftimexgroup = 3.38; p = 0.040]. Pairwise comparisons showed that cortisol levels decreased significantly over time only in the Experimental group (pB < 0.001). Regarding to IL-6 levels, there was not a significant effect between subjects [Fgroups = 0.0481; p = 0.953]. The mean level decreased significantly for each group from baseline to post project (pB < 0.001). With respect to TNF-alpha levels, the mean levels decreased over time for all groups (pB = 0.006 for Experimental group; pB < 0.001 either for the Advanced or Control group). Conclusion: the results documented in the experimental groups who experienced didactics of emotion for at least one school year show a significant increase in children's ability to cope with reality, stress and anxiety, and an improvement of their emotional competence. Meanwhile, a significant reduction in the amount of salivary cortisol was observed in the experimental group at the end of the scholastic year; meantime a stable reduced amount of salivary cortisol in advanced group throughout the project was also observed. These findings show that an intervention through an emotional education program is able to regulate interpersonal skills and the stress axis response.

Correlation between cortical plasticity, motor learning and BDNF genotype in healthy subjects.

There is good evidence that synaptic plasticity in human motor cortex is involved in behavioural motor learning; in addition, it is now possible to probe mechanisms of synaptic plasticity using a variety of transcranial brain-stimulation protocols. Interactions between these protocols suggest that they both utilise common mechanisms. The aim of the present experiments was to test how well responsiveness to brain-stimulation protocols and behavioural motor learning correlate with each other in a sample of 21 healthy volunteers. We also examined whether any of these measures were influenced by the presence of a Val66Met polymorphism in the BDNF gene since this is another factor that has been suggested to be able to predict response to tests of synaptic plasticity. In 3 different experimental sessions, volunteers underwent 5-Hz rTMS, intermittent theta-burst stimulation (iTBS) and a motor learning task. Blood samples were collected from each subject for BDNF genotyping. As expected, both 5-Hz rTMS and iTBS significantly facilitated MEPs. Similarly, as expected, kinematic variables of finger movement significantly improved during the motor learning task. Although there was a significant correlation between the effect of iTBS and 5-Hz rTMS, there was no relationship in each subject between the amount of TMS-induced plasticity and the increase in kinematic variables during motor learning. Val66Val and Val66Met carriers did not differ in their response to any of the protocols. The present results emphasise that although some TMS measures of cortical plasticity may correlate with each other, they may not always relate directly to measures of behavioural learning. Similarly, presence of the Val66Met BDNF polymorphism also does not reliably predict responsiveness in small groups of individuals. Individual success in behavioural learning is unlikely to be closely related to any single measure of synaptic plasticity.

Craniocervical dystonia: clinical and pathophysiological features.

Blepharospasm, oromandibular, lingual, laryngeal and cervical dystonia are common forms of adult-onset dystonia. Each condition may appear in isolation or manifest along with other forms of craniocervical dystonia. Although the various craniocervical dystonias typically present with involuntary muscle spasms causing abnormal postures, they differ for some clinical features. Neurophysiologic and neuroimaging studies have shown a number of motor and sensory abnormalities at cortical and subcortical levels, probably reflecting a dysfunction in the basal ganglia-thalamo-cortical circuits. The best treatment for craniocervical dystonia is botulinum toxin injected into the overactive muscles.

Organization of cytokeratin bundles by desmosomes in rat mammary cells.

In a rat mammary epithelial cell line, LA-7, cytokeratin bundles recognized in immunofluorescence by a monoclonal antibody (24B42) disappear after trypsinization of cultures and are gradually reformed after replating. We have followed the time course of cytokeratin filament reappearance by growing cells in low calcium medium (0.1 mM) which prevents desmosome formation, and then shifting to high calcium (1.8 mM) to start the process. By fixing the cells at various intervals and staining them in immunofluorescence for 24B42 cytokeratin and for desmosomal proteins, we found that cell to cell contact and desmosome formation are prerequisites for keratin filament formation in these cells. EGTA treatment, by disassembling desmosomes, causes the cytokeratin filaments to disappear and the 24B42 protein to pass into a soluble form in this cell line, as ascertained by 100,000 g fractionation and immunoenzymatic assay. Cycloheximide treatment also causes cytokeratin filaments to disappear, indicating that protein synthesis is needed for normal filament maintenance. In another related cell line (106A-10a) and in HeLa cells, trypsinization and EGTA exposure do not cause a complete loss of 24B42 immunofluorescence, although distinct filaments disappear, indicating the presence in these cells of different organizing centers, besides desmosomes, for cytokeratin bundle formation. LA7 cells therefore seem to have a cytokeratin system strictly dependent on the presence of desmosomes, which act as an organizing center for filament assembly. 106A-10a cells (also rich in desmosomes) and HeLa cells (showing instead a reduced number of desmosomes) have a cytokeratin system partially or totally independent from that of desmosomes, with different organizing centers.

suPAR, a soluble form of urokinase plasminogen activator receptor, inhibits human prostate cancer cell growth and invasion.

Urokinase-type plasminogen activator (uPA) and its specific membrane receptor (uPAR) control extracellular matrix proteolysis, cell migration, invasion and cell growth in several cancers. The uPAR released from human cancers is detected in blood as soluble uPAR (suPAR). No information is available on the mechanism(s) of action of suPAR on prostate cancer (PCa) cell growth and invasion. In order to clarify this issue, we tested the effect of a treatment with the human recombinant suPAR (comprising amino acids l-303) on the proliferation, migration and invasion of DU145 cells, a PCa cell line expressing a potent autocrine uPA-uPAR signalling system. The results indicate that suPAR significantly inhibits cell growth, promotes apoptosis and decreases both migration and Matrigel invasion of DU145 cells. The mechanism of action of suPAR seems to be linked to a decrease of ERK and FAK activation. Cleavage of suPAR by chymotripsin reverses these effects. When added to the uPA-negative LNCaP cells, suPAR was ineffective; on the contrary, when LNCaP cells were cultured on fibronectin-coated plates in order to stimulate uPA expression, suPAR significantly decreased cell proliferation. In conclusion, our data suggest that suPAR can function as a potent molecule scavenger for uPA in human PCa cells characterized by high levels of uPA/uPAR as in DU145 cells, while it is ineffective in uPA-deficient LNCaP cells. The molecular mechanism(s) through which suPAR participates in the control of PCa progression may bear relevance for the long-term goal to identify new therapeutic targets aimed at silencing tumours in vivo.

Fast voluntary neck movements in patients with cervical dystonia: a kinematic study before and after therapy with botulinum toxin type A.

OBJECTIVE: To study fast voluntary neck movements in patients with cervical dystonia (CD) before and after therapy with botulinum toxin type-A (BTX-A). METHODS: A selected sample of 15 patients with CD (with prevalent torticollis) and 13 age-matched control subjects performed both right and left rotational, and flexion and extension neck movements as fast as possible. Movements were recorded with a motion analysis system (SMART, BTS). Movement time, angular amplitude, and peak angular velocity were analyzed. In patients, rotational neck movements were pooled as "pro-dystonic" (toward the dystonic side) and "anti-dystonic" (toward the non-dystonic side). Results obtained in patients before BTX-A treatment were compared with those of control subjects. The effect of BTX-A treatment was evaluated by comparing movement performance before and after treatment. RESULTS: Before receiving BTX-A, patients performed pro- and anti-dystonic movements with lower peak angular velocity than control subjects. Pro-dystonic movements had a reduced angular amplitude. Anti-dystonic movements showed an abnormally long movement time. Flexion and extension movements required longer movement times, but the other kinematic variables were normal. After BTX-A injections, pro-dystonic movement amplitude and anti-dystonic movement peak angular velocity increased, whereas flexion and extension movements remained unchanged. CONCLUSIONS: Before BTX-A injection patients with CD perform fast voluntary neck movements abnormally and BTX-A injections improved their peak velocity and amplitude. SIGNIFICANCE: Kinematic studies can detect specific neck movement disturbance in patients with CD, and can quantify both the severity of clinical picture and the effect of BTX-A injections in these patients.

Common structural polymorphisms in human erythrocyte spectrin.

Restricted tryptic digestion of erythrocyte spectrin at 4 degrees C followed by two-dimensional (isoelectric-focusing/sodium dodecyl sulfate) polyacrylamide electrophoresis yields highly reproducible maps of approximately 50 peptides with molecular weights between 80,000 and 12,000. Based on molecular weight and isoelectric point (pI), each unique alpha- and beta-subunit domain can be identified and compared with spectrin peptides from other individuals. The alpha-subunit of spectrin from 60 Caucasian donors contains a 46,000-mol-wt tryptic domain, called alpha II-T46, Type 1; more extensive tryptic digestion of this domain generates peptides with molecular weights of 35,000, 30,000, 25,000, and 16,000. Spectrin from 29 of 37 black donors representing 14 kindreds shows variation in the molecular weight and/or pI of peptides from the alpha II domain. In the most common form, Type 2, alpha II tryptic peptides are increased in molecular weight by 4,000, and the pI becomes more basic. Other alpha II variants are characterized by either the 4,000 increase in molecular weight (Type 3) or by the basic shift in pI (Type 4). When limit peptide maps of intermediate-sized tryptic and CNBr peptides from the alpha II-domain Types 1 and 2 are compared, a consistent alteration in the chromatographic mobility of one limit peptide is observed. Polymorphism in the alpha II subunit of spectrin did not itself produce anemia, nor did it appear to alter the expression of an underlying hereditary spherocytosis or elliptocytosis. In six family studies, the alpha II 46,000-mol-wt variations observed were consistent with Mendelian inheritance.

Exact probability distribution for the Bernoulli-Malthus-Verhulst model driven by a multiplicative colored noise.

We report an exact result for the calculation of the probability distribution of the Bernoulli-Malthus-Verhulst model driven by a multiplicative colored noise. We study the conditions under which the probability distribution of the Malthus-Verhulst model can exhibit a transition from a unimodal to a bimodal distribution depending on the value of a critical parameter. Also we show that the mean value of x(t) in the latter model always approaches asymptotically the value 1.

GnRH agonists and antagonists decrease the metastatic progression of human prostate cancer cell lines by inhibiting the plasminogen activator system.

Prostate cancer (PCa) growth initially depends on circulating androgens. Gonadotropin-releasing hormone (GnRH) agonists are currently used for the treatment of PCa. However, after an initial responsiveness to hormonal deprivation, PCa progresses and metastasizes. Recently, also GnRH antagonists have been used for clinical trials in patients with PCa and the results seem promising. The components of the plasminogen activator (PA) system (urokinase-type PA, uPA; PA inhibitors, PAI-1/2; uPA receptor, uPAR) have been implicated in the local degradation of the extracellular matrix (ECM) and PCa progression. The aim of this study was to test the possible effects of the treatment with an agonist (Leuprolide, GnRH-A) and an antagonist (Cetrorelix, GnRH-ANT) of GnRH on the expression and activity of uPA and PAI-1 in the conditioned media of DU145 and PC3, two PCa androgen-independent cell lines. The involvement of the PA system in the control of cellular migration was also investigated. The results obtained in DU145 and PC3 cells show that both GnRH-A and GnRH-ANT: i) inhibit cell proliferation; ii) significantly decrease the enzymatic activity and the secretion of uPA; iii) significantly increase the protein levels of PAI-1; iv) induce a significant decrease of the migratory and invasion PCa capabilities. This study suggests that GnRH analogues exhibit not only an antiproliferative effect, but also an anti-metastatic action exerted through the inhibition of the activity of PA system and might provide a rational basis for the development of clinical strategies for those tumours that progress towards an androgen-independent condition characterized by a higher metastatic potential.

Marker evolution during the development of the rat mammary gland: stem cells identified by markers and the role of myoepithelial cells.

Using monoclonal antibodies and other immunological reagents we have identified characteristic markers for various epithelial cell types within the rat mammary gland. We have followed the evolution of cell types from the emergence of mammary ducts from the epidermis in the fetus to adulthood. Throughout mammary development some cells retain a group of markers which characterize the early stages of development. We have previously suggested that these cells are the stem cells for mammary development. In the adult, these cells are present in end buds and in the myoepithelial layer of ducts. We suggest that the myoepithelial layer, which we propose should be called the "basal" layer, contains several cell types, of which two are pluripotent. It contains the stem cells for mammary development, which also are present in end buds, and a precursor of ductules and alveoli. In the ducts, basal cells are probably also the precursor of luminal cells. We propose a scheme of mammary development.

Molecular aspects of gefitinib antiproliferative and pro-apoptotic effects in PTEN-positive and PTEN-negative prostate cancer cell lines.

To date, no effective therapeutic treatment allows abrogation of the progression of prostate cancer (PCa) to more invasive forms. One of the major targets for the therapy in PCa can be epidermal growth factor receptor (EGFR), which signals via the phosphoinositide 3'-kinase (PI3K)/Akt and mitogen-activated protein kinase (MAPK) pathways, among others. Despite multiple reports of overexpression in PCa, the reliance on activated EGFR and its downstream signalling to the PI3K and/or MAPK/extracellular signal-regulated kinase (ERK) pathways has not been fully elucidated. We reported that the EGFR-selective tyrosine kinase inhibitor gefitinib (ZD1839; Iressa) is able to induce growth inhibition, G(1) arrest and apoptosis in PCa cells and that its effectiveness is associated primarily with phosphatase and tensin homologue deleted from chromosome 10 (PTEN) expression (and thus Akt activity). In fact PTEN-negative PCa cells are slowly sensitive to gefitinib treatment, because this molecule is unable to downregulate PI3K/Akt activity. PI3K inhibition, by LY294002 or after PTEN transfection, restores EGFR-stimulated Akt signalling and sensitizes the cells to pro-apoptotic action of gefitinib. The MAPK pathway seems to be involved primarily on cell-growth modulation because dual blockade of EGFR and ERK1/2 phosphorylation potentiates growth inhibition (both not cell apoptosis) in PTEN-positive PCa cells and reduced EGF-mediated growth in PTEN-negative cells. Thus the effectiveness of gefitinib requires growth factor receptor-stimulated PI3K/Akt and MAPK signalling to be intact and functional. The loss of the PTEN activity leads to uncoupling of this signalling pathway, determining a partial gefitinib resistance. Moreover, gefitinib sensitivity may be maintained in these cells through its inhibitory potential in MAPK/ERK pathway activity, modulating proliferative EGFR-triggered events. Therefore, our data suggest that the inhibition of EGFR signalling can result in a significant growth reduction and in increased apoptosis in EGFR-overexpressing PCa cells with different modalities, which are regulated by PTEN status, and this may have relevance in the clinical setting of PCa.

A two-year course of specific immunotherapy or of continuous antihistamine treatment reverse eosinophilic inflammation in severe persistent allergic rhinitis.

Aim of the study was to evaluate the effect of a 2-year course of subcutaneous specific immunotherapy or continuous oral antihistamine treatment on the eosinophilic inflammation in nasal secretions of patients with severe persistent allergic rhinitis caused by house dust-mites. After informed consent, 31 rhinitis patients, sensitive to dust-mite antigens, were enrolled: 12 were randomly assigned to specific immunotherapy (group A), 11 to continuous oral antihistamine (cetirizine) treatment (group B), and 8 to an oral antihistamine (cetirizine) on demand (group C). Nasal scrapings were performed with a cotton-tipped swab and cells counted before and after 24 months of therapy. Intercellular adhesion molecule-1 and eosinophil cationic protein expression in cytological smears were assessed by immuno-histochemistry. All patients completed the study. The percentage of inflammatory cell types was comparable in the 3 groups at the beginning of the study. Eosinophils, identified as cells expressing eosinophil cationic protein, significantly decreased dropping to zero after 2 years of treatment in groups A and B, while no change was observed in group C. Expression of intercellular adhesion molecule-1 also decreased significantly in groups A and B, but not in group C. This decrease was associated with a significant reduction in epithelial shedding. In the 2-year period studied, specific subcutaneous immunotherapy and continuous oral antihistamine treatment were found to be effective in reducing eosinophilic infiltration and adhesion molecule expression in the nasal mucosa of patients with persistent allergic rhinitis. Furthermore, immunotherapy was more effective in controlling epithelial disruption while antihistamines appeared to be more active in controlling nasal inflammation. Both treatments induced a significant decrease in intercellular adhesion molecule-1 expression in epithelial cells and also a dramatic reduction of eosinophil cationic protein positive staining. These parameters can be considered useful means for controlling the state of persistent inflammation which is typical of persistent respiratory allergy. Nasal scraping was demonstrated to be a simple and safe procedure for monitoring some nasal inflammation parameters.

Does the cerebellum intervene in the abnormal somatosensory temporal discrimination in Parkinson's disease?

INTRODUCTION: somatosensory temporal discrimination threshold (STDT) measures the ability to perceive two stimuli as being sequential. Altered STDT has been reported in Parkinson's disease (PD). The cerebellum seems to play a role in the pathophysiology of PD, and may consequently be involved in the pathophysiology of STDT abnormalities. METHODS: STDT was investigated in fifteen PD patients who underwent real and sham cerebellar continuous theta burst stimulation (cTBS) in the OFF condition. Eight patients underwent a further real cTBS session in ON condition. STDT was measured on both hands before, 5 and 25 min after real and sham cTBS delivered over the cerebellar hemisphere ipsilateral to the more affected side. We controlled the efficacy of our protocol by monitoring primary motor cortex (M1) excitability. Ten healthy subjects acted as control group. RESULTS: STDT values were increased in PD patients in the OFF condition compared with healthy subjects and PD patients in the ON condition. In PD patients OFF condition, real but not sham cerebellar cTBS, significantly reduced STDT values only in the hand ipsilateral to the stimulated cerebellar hemisphere. Cerebellar cTBS also decreased motor evoked potentials (MEP) size in the contralateral M1. When PD patients were tested in the ON condition, cerebellar cTBS failed to modify STDT values. CONCLUSION: cerebellar cTBS improved STDT values in PD patients exclusively in OFF condition. We hypothesize that cerebellar stimulation partially compensates for increased STDT values only when patients are OFF dopaminergic therapy. This suggests that the cerebellum may act as compensatory system in PD.

Critical slowing down in networks generating temporal complexity.

We study a nonlinear Langevin equation describing the dynamic variable X(t), the mean field (order parameter) of a finite size complex network at criticality. The conditions under which the autocorrelation function of X shows any direct connection with criticality are discussed. We find that if the network is prepared in a state far from equilibrium, X(0)=1, the autocorrelation function is characterized by evident signs of critical slowing down as well as by significant aging effects, while the preparation X(0)=0 does not generate evident signs of criticality on X(t), in spite of the fact that the same initial state makes the fluctuating variable η(t)≡sgn(X(t)) yield significant aging effects. These latter effects arise because the dynamics of η(t) are directly dependent on crucial events, namely the re-crossings of the origin, which undergo a significant aging process with the preparation X(0)=0. The time scale dominated by temporal complexity, aging, and ergodicity breakdown of η(t) is properly evaluated by adopting the method of stochastic linearization which is used to explain the exponential-like behavior of the equilibrium autocorrelation function of X(t).