Ramified rectilinear polygons: coordinatization by dendrons

Simple rectilinear polygons (i.e. rectilinear polygons without holes or cutpoints) can be regarded as finite rectangular cell complexes coordinatized by two finite dendrons. The intrinsic $l_1$-metric is thus inherited from the product of the two finite dendrons via an isometric embedding. The rectangular cell complexes that share this same embedding property are called ramified rectilinear polygons. The links of vertices in these cell complexes may be arbitrary bipartite graphs, in contrast to simple rectilinear polygons where the links of points are either 4-cycles or paths of length at most 3. Ramified rectilinear polygons are particular instances of rectangular complexes obtained from cube-free median graphs, or equivalently simply connected rectangular complexes with triangle-free links. The underlying graphs of finite ramified rectilinear polygons can be recognized among graphs in linear time by a Lexicographic Breadth-First-Search. Whereas the symmetry of a simple rectilinear polygon is very restricted (with automorphism group being a subgroup of the dihedral group $D_4$), ramified rectilinear polygons are universal: every finite group is the automorphism group of some ramified rectilinear polygon.Comment: 27 pages, 6 figure

Risk of Parkinson disease in carriers of parkin mutations : estimation using the kin-cohort method

Objective: To estimate the risk of Parkinson disease (PD) in individuals with mutations in the Parkin gene. Design: We assessed point mutations and exon deletions and duplications in the Parkin gene in 247 probands with PD (age at onset 50 years) and 104 control probands enrolled in the Genetic Epidemiology of Parkinson's Disease (GEPD) study. For each first-degree relative, a consensus diagnosis of PD was established. The probability that each relative carried a mutation was estimated from the proband's Parkin carrier status using Mendelian principles and from the relationship of the relative to the proband. Setting: Tertiary care movement disorders center. Patients: Cases, controls, and their first-degree relatives were enrolled in the GEPD study. Main Outcome Measures: Estimated age-specific penetrance in first-degree relatives. Results: Parkin mutations were identified in 25 probands with PD (10.1%), 18 (72.0%) of whom were heterozygotes. One Parkin homozygote was reported in 2 siblings with PD. The cumulative incidence of PD to age 65 years in carrier relatives (age-specific penetrance) was estimated to be 7.0% (95% confidence interval, 0.4%-71.9%), compared with 1.7% (95% confidence interval, 0.8%-3.4%) in noncarrier relatives of the cases (P = .59) and 1.1% (95% confidence interval, 0.3%-3.4%) in relatives of the controls (compared with noncarrier relatives, P = .52). Conclusions: The cumulative risk of PD to age 65 years in a noncarrier relative of a case with an age at onset of 50 years or younger is not significantly greater than the general population risk among controls. Age-specific penetrance among Parkin carriers, in particular heterozygotes, deserves further study. Mutations in the Parkin gene (PARK2; GenBank AB009973) are associated primarily with early-onset Parkinson disease (PD), defined as age at onset (AAO) ranging from 45 years or younger to 55 years or younger, but have also been described in PD cases with an AAO older than 70 years. In PD cases with an AAO of 45 years or younger with a mode of inheritance consistent with autosomal recessive transmission, the frequency of Parkin mutations may be as high as 49%, whereas in cases without a family history of PD the range is 15% to 18%. Age at onset is inversely correlated with the frequency of Parkin mutations in both familial and sporadic cases. Several studies have compared the AAO of PD in heterozygous, compound heterozygous, and homozygous Parkin mutation carriers and found that heterozygous cases, both familial and sporadic, have an older AAO. Heterozygous Parkin mutation carriers are more frequently reported among sporadic than familial cases. Information on the risk of PD in individuals who carry Parkin mutations in either the homozygous, compound heterozygous, or heterozygous state (or penetrance) is essential for genetic counseling. The penetrance of Parkin mutations has only been reported for isolated families. Most of the previous study designs sampled PD cases based on family history of PD, which would bias penetrance estimates upwards. To obtain an unbiased estimate of risk, a population-based random sample would be desirable, but Parkin mutations are so rare in the population that such a sample would have to be extremely large to obtain sufficient precision in penetrance estimates. To obtain unbiased estimates of the risk of PD in Parkin carriers despite the low population frequency of Parkin mutations, we used a kin-cohort study design applied to participants in the Genetic Epidemiology of Parkinson's Disease (GEPD) study. The kin-cohort design is highly efficient for estimating penetrance because the relatives' mutation status is not required for the analyses, thus reducing costs for genetic analysis

Case-control study of the parkin gene in early-onset Parkinson disease

Background: Mutations in parkin are estimated to account for as much as 50% of familial Parkinson disease (PD) and 18% of sporadic PD. Single heterozygous mutations in parkin in both familial and sporadic cases may also increase susceptibility to PD. To our knowledge, all previous studies have been restricted to PD cases; this is the first study to systematically screen the parkin coding regions and exon deletions and duplications in controls. Objective: To determine the frequency and spectrum of parkin variants in early-onset PD cases (aged 50 years) and controls participating in a familial aggregation study. Patients and Methods: We sequenced the parkin gene in 101 cases and 105 controls. All cases and controls were also screened for exon deletions and duplications by semiquantitative multiplex polymerase chain reaction. Results: Thirteen (12.9% [95% confidence interval, 7%-21%]) of the 101 cases had a previously described parkin mutation: 1 was homozygous, 11 were heterozygous, and 1 was a compound heterozygote. The mutations Arg42Pro (exon 2) and Arg275Trp (exon 7) were recurrent. The previously reported synonymous substitution Leu261Leu (c.884A>G) was identified in 4 (3.9%) of 101 cases and 2 (2%) of 105 controls (P = .44). Excluding the synonymous substitution Leu261Leu (heterozygotes), 10 (9.9% [95% confidence interval, 4.6%-17.5%]) carried mutations. Conclusions: The frequency of mutations among cases that were not selected based on family history of PD is similar to what has previously been reported in sporadic PD. The similar frequency of Leu261Leu in cases and controls suggests it is a normal variant rather than a disease-associated mutation. We confirmed that heterozygous parkin mutations may increase susceptibility for early-onset PD

Anthrax Lethal Toxin Disrupts Intestinal Barrier Function and Causes Systemic Infections with Enteric Bacteria

A variety of intestinal pathogens have virulence factors that target mitogen activated protein kinase (MAPK) signaling pathways, including Bacillus anthracis. Anthrax lethal toxin (LT) has specific proteolytic activity against the upstream regulators of MAPKs, the MAPK kinases (MKKs). Using a murine model of intoxication, we show that LT causes the dose-dependent disruption of intestinal epithelial integrity, characterized by mucosal erosion, ulceration, and bleeding. This pathology correlates with an LT-dependent blockade of intestinal crypt cell proliferation, accompanied by marked apoptosis in the villus tips. C57BL/6J mice treated with intravenous LT nearly uniformly develop systemic infections with commensal enteric organisms within 72 hours of administration. LT-dependent intestinal pathology depends upon its proteolytic activity and is partially attenuated by co-administration of broad spectrum antibiotics, indicating that it is both a cause and an effect of infection. These findings indicate that targeting of MAPK signaling pathways by anthrax LT compromises the structural integrity of the mucosal layer, serving to undermine the effectiveness of the intestinal barrier. Combined with the well-described immunosuppressive effects of LT, this disruption of the intestinal barrier provides a potential mechanism for host invasion via the enteric route, a common portal of entry during the natural infection cycle of Bacillus anthracis

Motor phenotype of LRRK2 G2019S carriers in early-onset Parkinson disease

Objective: To determine the motor phenotype of LRRK2 G2019S mutation carriers. LRRK2 mutation carriers were previously reported to manifest the tremor dominant motor phenotype, which has been associated with slower motor progression and less cognitive impairment compared with the postural instability and gait difficulty (PIGD) phenotype. Design: Cross-sectional observational study. Setting: Thirteen movement disorders centers. Participants: Nine hundred twenty-five early-onset Parkinson disease cases defined as age at onset younger than 51 years. Main Outcome Measures: LRRK2 mutation status and Parkinson disease motor phenotype: tremor dominant or PIGD. Demographic information, family history of Parkinson disease, and the Unified Parkinson's Disease Rating Scale score were collected on all participants. DNA samples were genotyped for LRRK2 mutations (G2019S, I2020T, R1441C, and Y1699C). Logistic regression was used to examine associations of G2019S mutation status with motor phenotype adjusting for disease duration, Ashkenazi Jewish ancestry, levodopa dose, and family history of Parkinson disease. Results: Thirty-four cases (3.7%) (14 previously reported) were G2019S carriers. No other mutations were found. Carriers were more likely to be Ashkenazi Jewish (55.9% vs 11.9%; P < .001) but did not significantly differ in any other demographic or disease characteristics. Carriers had a lower tremor score (P = .03) and were more likely to have a PIGD phenotype (92.3% vs 58.9%; P = .003). The association of the G2019S mutation with PIGD phenotype remained after controlling for disease duration and Ashkenazi Jewish ancestry (odds ratio, 17.7; P < .001). Conclusion: Early-onset Parkinson disease G2019S LRRK2 carriers are more likely to manifest the PIGD phenotype, which may have implications for disease course

X-linked susceptibility to mycobacteria is caused by mutations in NEMO impairing CD40-dependent IL-12 production

Germline mutations in five autosomal genes involved in interleukin (IL)-12–dependent, interferon (IFN)-γ–mediated immunity cause Mendelian susceptibility to mycobacterial diseases (MSMD). The molecular basis of X-linked recessive (XR)–MSMD remains unknown. We report here mutations in the leucine zipper (LZ) domain of the NF-κB essential modulator (NEMO) gene in three unrelated kindreds with XR-MSMD. The mutant proteins were produced in normal amounts in blood and fibroblastic cells. However, the patients' monocytes presented an intrinsic defect in T cell–dependent IL-12 production, resulting in defective IFN-γ secretion by T cells. IL-12 production was also impaired as the result of a specific defect in NEMO- and NF-κB/c-Rel–mediated CD40 signaling after the stimulation of monocytes and dendritic cells by CD40L-expressing T cells and fibroblasts, respectively. However, the CD40-dependent up-regulation of costimulatory molecules of dendritic cells and the proliferation and immunoglobulin class switch of B cells were normal. Moreover, the patients' blood and fibroblastic cells responded to other NF-κB activators, such as tumor necrosis factor-α, IL-1β, and lipopolysaccharide. These two mutations in the NEMO LZ domain provide the first genetic etiology of XR-MSMD. They also demonstrate the importance of the T cell– and CD40L-triggered, CD40-, and NEMO/NF-κB/c-Rel–mediated induction of IL-12 by monocyte-derived cells for protective immunity to mycobacteria in humans

Acute posthypoxic myoclonus after cardiopulmonary resuscitation

<p>Abstract</p> <p>Background</p> <p>Acute posthypoxic myoclonus (PHM) can occur in patients admitted after cardiopulmonary resuscitation (CPR) and is considered to have a poor prognosis. The origin can be cortical and/or subcortical and this might be an important determinant for treatment options and prognosis. The aim of the study was to investigate whether acute PHM originates from cortical or subcortical structures, using somatosensory evoked potential (SEP) and electroencephalogram (EEG).</p> <p>Methods</p> <p>Patients with acute PHM (focal myoclonus or status myoclonus) within 72 hours after CPR were retrospectively selected from a multicenter cohort study. All patients were treated with hypothermia. Criteria for cortical origin of the myoclonus were: giant SEP potentials; or epileptic activity, status epilepticus, or generalized periodic discharges on the EEG (no back-averaging was used). Good outcome was defined as good recovery or moderate disability after 6 months.</p> <p>Results</p> <p>Acute PHM was reported in 79/391 patients (20%). SEPs were available in 51/79 patients and in 27 of them (53%) N20 potentials were present. Giant potentials were seen in 3 patients. EEGs were available in 36/79 patients with 23/36 (64%) patients fulfilling criteria for a cortical origin. Nine patients (12%) had a good outcome. A broad variety of drugs was used for treatment.</p> <p>Conclusions</p> <p>The results of this study show that acute PHM originates from subcortical, as well as cortical structures. Outcome of patients admitted after CPR who develop acute PHM in this cohort was better than previously reported in literature. The broad variety of drugs used for treatment shows the existing uncertainty about optimal treatment.</p

Coping with stress: a pilot study of a self-help stress management intervention for patients with epileptic or psychogenic non-epileptic seizures

Purpose: Many patients with epilepsy or psychogenic non-epileptic seizures (PNES) experience high levels of stress. Although psychological interventions have been developed for seizure disorders, few patients can currently access them. We aimed to assess the acceptability and feasibility of a self-help intervention targeting stress in patients with seizures, and to provide preliminary evidence for its effectiveness. Method: Patients were recruited from outpatient neurology clinics and randomised to an immediate intervention group (n=39), who received the intervention at baseline, or a delayed intervention group (n=43), who received the intervention one month post-baseline. Participants completed self-report questionnaires measuring stress (SSSI), anxiety (GAD-7), depression (NDDI-E), quality of life (EQ-5D), seizure severity and frequency (LSSS-3) at baseline, and at one- and two-month follow-up. Participants also provided telephone feedback. The intervention consisted of a self-help stress management workbook based on an integrative stress model framework. Results: Although the rate of participants failing to return follow-up information at two months was approximately 50%, those who completed the trial found the intervention acceptable; with the majority rating it as helpful (63.6%) and that they would recommend it to others with seizures (88.1%). A significant reduction in self-reported stress (p = 0.01) with a medium effect size (dz = 0.51) was observed one-month post-intervention. There were no significant changes in any other measures. Conclusion: The intervention was perceived to be acceptable, safe and helpful by participants. It could be a useful complementary treatment option for reducing stress experienced by patients living with seizure disorders. Further evaluation in a larger trial is warranted

Gradients and Modulation of K+ Channels Optimize Temporal Accuracy in Networks of Auditory Neurons

Accurate timing of action potentials is required for neurons in auditory brainstem nuclei to encode the frequency and phase of incoming sound stimuli. Many such neurons express “high threshold” Kv3-family channels that are required for firing at high rates (>∼200 Hz). Kv3 channels are expressed in gradients along the medial-lateral tonotopic axis of the nuclei. Numerical simulations of auditory brainstem neurons were used to calculate the input-output relations of ensembles of 1–50 neurons, stimulated at rates between 100–1500 Hz. Individual neurons with different levels of potassium currents differ in their ability to follow specific rates of stimulation but all perform poorly when the stimulus rate is greater than the maximal firing rate of the neurons. The temporal accuracy of the combined synaptic output of an ensemble is, however, enhanced by the presence of gradients in Kv3 channel levels over that measured when neurons express uniform levels of channels. Surprisingly, at high rates of stimulation, temporal accuracy is also enhanced by the occurrence of random spontaneous activity, such as is normally observed in the absence of sound stimulation. For any pattern of stimulation, however, greatest accuracy is observed when, in the presence of spontaneous activity, the levels of potassium conductance in all of the neurons is adjusted to that found in the subset of neurons that respond better than their neighbors. This optimization of response by adjusting the K+ conductance occurs for stimulus patterns containing either single and or multiple frequencies in the phase-locking range. The findings suggest that gradients of channel expression are required for normal auditory processing and that changes in levels of potassium currents across the nuclei, by mechanisms such as protein phosphorylation and rapid changes in channel synthesis, adapt the nuclei to the ongoing auditory environment