Electronic band dispersion of graphene nanoribbons via Fourier-transformed scanning tunneling spectroscopy

The electronic structure of atomically precise armchair graphene nanoribbons of width N=7 (7-AGNRs) are investigated by scanning tunneling spectroscopy (STS) on Au(111). We record the standing waves in the local density of states of finite ribbons as a function of sample bias and extract the dispersion relation of frontier electronic states by Fourier transformation. The wave-vector-dependent contributions from these states agree with density functional theory calculations, thus enabling the unambiguous assignment of the states to the valence band, the conduction band, and the next empty band with effective masses of 0.41±0.08me,0.40±0.18me, and 0.20±0.03me, respectively. By comparing the extracted dispersion relation for the conduction band to corresponding height-dependent tunneling spectra, we find that the conduction band edge can be resolved only at small tip-sample separations and has not been observed before. As a result, we report a band gap of 2.37±0.06 eV for 7-AGNRs adsorbed on Au(111).

[Autonomic neuropathy in somatization disorders]

AIM: We conducted a study to investigate whether patients with somatization disorder show abnormal values in autonomic testing, especially in the central baroreceptor sensitivity. PATIENTS AND METHODS: Seventy-one patients were included. All had a diagnosis of somatization disorder (ICD-10, F45.0). Psychometric testing was performed by means of validated questionnaires (STAI, STAXI, FPI, GBB, ADS, SOMS, SCL-90-R). Autonomic regulation was analyzed by international standards using frequency spectral calculation by fast Fourier transformation. Thereby 3 different groups were detected: 12 patients with a baroreceptor sensitivity (BRS) of less than 3.0 ms/mm Hg, 20 patients with normal BRS (> 9.0 ms/mm Hg), and an in-between group (n = 39) with intermediate BRS. Controlling for age, a covariance analysis was calculated. RESULTS: The two extreme groups showed no difference in psychometric testing. However, significant differences were discernible in spectral values of mid-frequency-band (p < 0.05) in a covariance analysis with age as covariate. Equally the 24 h blood pressure determination showed significantly higher values for the group with BRS < 3.0 ms/mm Hg (p < 0.05 to 0.001). CONCLUSIONS: In a high percentage (17 %) of patients diagnosed to have somatization disorder autonomic dysregulation becomes apparent and is accompanied by increased blood pressure. Therefore it doesn't seem accurate to overlook concomitant organic lesions in somatization disorders despite patients lacking overtly clinical signs but suffering from various unspecific symptoms.

Patients with erythrophobia (fear of blushing) show abnormal autonomic regulation in mental stress conditions

OBJECTIVE: The objective of this study was to analyze the autonomic functions of patients with erythrophobia. METHODS: Forty patients with a diagnosis of erythrophobia (female/male ratio 18/22) without any other organic lesions and 20 healthy volunteers (female/male ratio 10/10) were assessed. Clinical evaluation was performed using a modified version of semistructured interviews. Autonomic testing was performed by means of spectral analysis of heart rate and continuous blood pressure by sparse discrete Fourier transformation at rest and under mental stress. RESULTS: There were no significant difference between the two samples in age, sex distribution, BMI, resting systolic, or diastolic blood pressure, nor was there a difference in autonomic baseline functioning between the 40 patients with erythrophobia and the control subjects. On the other hand, patients with erythrophobia consistently showed higher pulse rates (88 +/- 20 vs. 78 +/- 9 bpm, p <.05), higher total heart rate power values (8.40 +/- 0.63 vs. 8.07 +/- 1.02 p <.05), higher midfrequency spectral values (7.38 +/- 0.66 vs. 7.02 +/- 1.18, p <.01), higher high-frequency spectral values (6.89 +/- 0.86 vs. 6.48 +/- 1.44, p <.05), and lower baroreceptor sensitivity (8.62 +/- 8.16 vs. 11.65 +/- 4.42, p <.005) than the healthy subjects. ANOVA showed a significant group interaction (p <.0001) between the samples. CONCLUSIONS: This study provides evidence for abnormal autonomic functioning in patients with erythrophobia when under mental stress.

Autonomic cardiovascular regulation in obesity

Obese persons suffer from an increased mortality risk supposedly due to cardiovascular disorders related to either continuously lowered parasympathetic or altered sympathetic activation. Our cross-sectional correlation study establishes the relationship between obesity and autonomic regulation as well as salivary cortisol levels. Three patient cohorts were sampled, covering ranges of body mass index (BMI) of 27-32 (n=17), 33-39 (n=13) and above 40 kg/m(2)(n=12), and stratified for age, sex and menopausal status. Autonomic cardiovascular regulation was assessed by use of heart rate variability and continuous blood pressure recordings. Spectral analytical calculation (discrete Fourier transformation) yields indices of sympathetic and parasympathetic activation and baroreflex sensitivity. Morning salivary cortisol was concurrently collected. Contrary to expectation, BMI and waist/hip ratio (WHR) were inversely correlated with sympathetic activity. This was true for resting conditions (r=-0.48, P<0.001; r=-0.33, P<0.05 for BMI and WHR respectively) and for mental challenge (r=-0.42, P<0.01 for BMI). Resting baroreflex sensitivity was strongly related to the degree of obesity at rest (BMI: r=-0.35, P<0.05) and for mental challenge (r=-0.53, P<0.001). Salivary cortisol correlated significantly with waist circumference (r=-0.34, P=0.05). With increasing weight, no overstimulation was found but a depression in sympathetic and parasympathetic activity together with a significant reduction in baroreflex functioning and in salivary cortisol levels.

Effects of chronic baroreceptor stimulation on the autonomic cardiovascular regulation in patients with drug-resistant arterial hypertension

In patients with drug-resistant hypertension, chronic electric stimulation of the carotid baroreflex is an investigational therapy for blood pressure reduction. We hypothesized that changes in cardiac autonomic regulation can be demonstrated in response to chronic baroreceptor stimulation, and we analyzed the correlation with blood pressure changes. Twenty-one patients with drug-resistant hypertension were prospectively included in a substudy of the Device Based Therapy in Hypertension Trial. Heart rate variability and heart rate turbulence were analyzed using 24-hour ECG. Recordings were obtained 1 month after device implantation with the stimulator off and after 3 months of chronic electric stimulation (stimulator on). Chronic baroreceptor stimulation decreased office blood pressure from 185+/-31/109+/-24 mm Hg to 154+/-23/95+/-16 mm Hg (P<0.0001/P=0.002). Mean heart rate decreased from 81+/-11 to 76+/-10 beats per minute(-1) (P=0.001). Heart rate variability frequency-domain parameters assessed using fast Fourier transformation (FFT; ratio of low frequency:high frequency: 2.78 versus 2.24 for off versus on; P<0.001) were significantly changed during stimulation of the carotid baroreceptor, and heart rate turbulence onset was significantly decreased (turbulence onset: -0.002 versus -0.015 for off versus on; P=0.004). In conclusion, chronic baroreceptor stimulation causes sustained changes in heart rate variability and heart rate turbulence that are consistent with inhibition of sympathetic activity and increase of parasympathetic activity in patients with drug-resistant systemic hypertension; these changes correlate with blood pressure reduction. Whether the autonomic modulation has favorable cardiovascular effects beyond blood pressure control should be investigated in further studies.

Stochastische Modelle der aktuariellen Risikotheorie. Eine mathematische Einführung

Stochastische Modelle sind bei der Bewertung von Schadensbeträgen für Versicherungen von besonderer Bedeutung. Das Buch gibt eine Einführung in die dabei verwendeten Modelle für kleine und große Schadensbeträge wie auch in die stochastische Prozesse der aktuariellen Risikotheorie (Zählprozesse und Poisson-Prozess). Zentrales Thema ist die Analyse der Ruinwahrscheinlichkeit, wobei exakte Berechnungsmethoden, asymptotische Approximationen und numerische Algorithmen wie Monte Carlo-Simulation und schnelle Fourier-Transformation vorgestellt werden. Ein Appendix mit wichtigen Resultaten der Wahrscheinlichkeitstheorie erleichtert die Lektüre dieses Buches.