Connections between the Sznajd model with general confidence rules and graph theory

The Sznajd model is a sociophysics model that is used to model opinion propagation and consensus formation in societies. Its main feature is that its rules favor bigger groups of agreeing people. In a previous work, we generalized the bounded confidence rule in order to model biases and prejudices in discrete opinion models. In that work, we applied this modification to the Sznajd model and presented some preliminary results. The present work extends what we did in that paper. We present results linking many of the properties of the mean-field fixed points, with only a few qualitative aspects of the confidence rule (the biases and prejudices modeled), finding an interesting connection with graph theory problems. More precisely, we link the existence of fixed points with the notion of strongly connected graphs and the stability of fixed points with the problem of finding the maximal independent sets of a graph. We state these results and present comparisons between the mean field and simulations in Barabasi-Albert networks, followed by the main mathematical ideas and appendices with the rigorous proofs of our claims and some graph theory concepts, together with examples. We also show that there is no qualitative difference in the mean-field results if we require that a group of size q > 2, instead of a pair, of agreeing agents be formed before they attempt to convince other sites (for the mean field, this would coincide with the q-voter model).

Pacemakers and magnetic resonance imaging: Current status and survey in Switzerland

Electromagnetic fields arising from magnetic resonance imaging (MRI) can cause various clinically relevant functional disturbances in patients with cardiac pacemakers. Consequently, an implanted pacemaker is generally considered a contraindication for an MRI scan. With approximately 60 million MRI scans performed worldwide per year, MRI may be indicated for an estimated majority of pacemaker patients during the lifetime of their pacemakers. The availability of MR conditional pacemakers with CE labelling is of particular advantage since they allow the safe use of pacemakers in MRI. In this article the current state of knowledge on pacemakers and MR imaging is discussed. We present the results of a survey conducted among Swiss radiologists to assess current practice in patients with pacemakers.

Mycobacterium microti infection in the cat: a case report, literature review and recent clinical experience

OVERVIEW: Mycobacterium microti infection is infrequently described in cats in the veterinary literature. It can be one of a large number of possible differential diagnoses in a feline patient with dermal nodules and non-healing draining ulcers, and can occasionally spread to involve the lungs and/or other areas of the body. CASE SUMMARY: This report describes the clinical signs, eventual diagnosis and variable response to treatment in a cat in Switzerland with recurrent cutaneous M microti infection. Only after several diagnostic and therapeutic attempts, over more than 2 years, was the species of Mycobacterium finally identified and targeted therapy given. PRACTICAL RELEVANCE: For any cat in which there is even a low suspicion of mycobacterial infection, the authors recommend that an aggressive diagnostic approach is taken. Tissue specimens should be collected and frozen early on, and, as soon as acid-fast bacilli are detected, samples should be sent to a mycobacterial reference laboratory for definitive identification. LITERATURE REVIEW: A review of the literature relating to the aetiopathogenesis, diagnosis and management of M microti infection in cats and dogs is included. This is supplemented with clinical and therapeutic experience gained from this case and other, unpublished cases managed over the past 15 years by one of the authors (DGM).

Metastases and primary tumors around dental implants: A literature review and case report of peri-implant pulmonary metastasis

To perform a literature review on peri-implant metastases and primary malignoma and report a case of a pulmonary metastasis around dental implants of the anterior mandibular jaw that mimicked peri-implantitis.

[Kidney and smoking: literature review and focus]

Smoking remains a major public health problem. It is associated with a considerable number of deaths in the world's population. Smoking is just like high blood pressure, an independent predictor of progression to any primary renal disease and renal transplant patients. It seems that smoking cessation slows the progression of kidney disease in smokers. The literature data are sometimes contradictory about it because of some methodological weaknesses. However, experimental models highlight the harmful effects of tobacco by hemodynamic and non-hemodynamic factors. The conclusion is that a major effort should be further produced by the nephrology community to motivate our patients to stop smoking.

Therapy resistant neonatal seizures, linear vesicular rash, and unusually early neuroradiological changes: incontinentia pigmenti : A case report, literature review and insight into pathogenesis

CASE PRESENTATION: A substance abusing G2P1 mother spontaneously delivered at term an appropriate for gestational age girl. Neonatal seizures appeared at 21 hours and empiric anticonvulsive and antimicrobial treatment was started. At 25 hours, first vesicles appeared. While routine evaluations remained normal, a head CT revealed multifocal ischemic injuries, and a later MRI showed multifocal petechiae and diffusion abnormalities in the corticospinal tracts. The clinical diagnosis of incontinentia pigmenti (stage 1) was secured by histopathology. Follow-up at 13 months showed global developmental delay. DISCUSSION: We discuss the unusually early bilateral, fronto-occipital corticomedullar ischemias (CT day 3). On the MR imaging (day 7) extensive symmetric cerebral corticomedullar destruction and diffusion sequences with corticospinal tracts abnormalities are seen, which then evolve (day 26) to extensive symmetric cerebral destruction. We review the literature, genetics, suspected pathophysiology and possible neonatal manifestation. CONCLUSION: Incontinentia pigmenti is rare and, therefore, diagnosis is frequently delayed. Nevertheless, in the setting of therapy refractory seizures, excluded infections, and linear vesicular rash, a high index of suspicion is needed. This is the first report of simultaneous corticomedullar involvement as early as the third day of life.