Lack of consensus in social systems

We propose an exactly solvable model for the dynamics of voters in a two-party system. The opinion formation process is modeled on a random network of agents. The dynamical nature of interpersonal relations is also reflected in the model, as the connections in the network evolve with the dynamics of the voters. In the infinite time limit, an exact solution predicts the emergence of consensus, for arbitrary initial conditions. However, before consensus is reached, two different metastable states can persist for exponentially long times. One state reflects a perfect balancing of opinions, the other reflects a completely static situation. An estimate of the associated lifetimes suggests that lack of consensus is typical for large systems.Comment: 4 pages, 6 figures, submitted to Phys. Rev. Let

Reactive dynamics of inertial particles in nonhyperbolic chaotic flows

Anomalous kinetics of infective (e.g., autocatalytic) reactions in open, nonhyperbolic chaotic flows are important for many applications in biological, chemical, and environmental sciences. We present a scaling theory for the singular enhancement of the production caused by the universal, underlying fractal patterns. The key dynamical invariant quantities are the effective fractal dimension and effective escape rate, which are primarily determined by the hyperbolic components of the underlying dynamical invariant sets. The theory is general as it includes all previously studied hyperbolic reactive dynamics as a special case. We introduce a class of dissipative embedding maps for numerical verification.Comment: Revtex, 5 pages, 2 gif figure

The Value of a Novel Panel of Cervical Cancer Biomarkers for Triage of HPV Positive Patients and for Detecting Disease Progression.

In the era of primary vaccination against HPV and at the beginning of the low prevalence of cervical lesions, introduction of screening methods that can distinguish between low- and high-grade lesions is necessary in order to maintain the positive predictive value of screening. This case-control study included 562 women who attended cervical screening or were referred for colposcopy and 140 disease free controls, confirmed by histology and/or cytology. The cases were stratified by age. Using routine exfoliated liquid based cytological samples RT-PCR measurements of biomarker genes, high-risk HPV testing and liquid based cytology were performed and used to evaluate different testing protocols including sets of genes/tests with different test cut-offs for the diagnostic panels. Three new panels of cellular biomarkers for improved triage of hrHPV positive women (diagnostic panel) and for prognostic assessment of CIN lesions were proposed. The diagnostic panel (PIK3AP1, TP63 and DSG3) has the potential to distinguish cytologically normal hrHPV+ women from hrHPV+ women with CIN2+. The prognostic gene panels (KRT78, MUC5AC, BPIFB1 and CXCL13, TP63, DSG3) have the ability to differentiate hrHPV+ CIN1 and carcinoma cases. The diagnostic triage panel showed good likelihood ratios for all age groups. The panel showed age-unrelated performance and even better diagnostic value under age 30, a unique feature among the established cervical triage tests. The prognostic gene-panels demonstrated good discriminatory power and oncogenic, anti-oncogenic grouping of genes. The study highlights the potential for the gene expression panels to be used for diagnostic triage and lesion prognostics in cervical cancer screening