Topological fluid mechanics of point vortex motions

Topological techniques are used to study the motions of systems of point vortices in the infinite plane, in singly-periodic arrays, and in doubly-periodic lattices. The reduction of each system using its symmetries is described in detail. Restricting to three vortices with zero net circulation, each reduced system is described by a one degree of freedom Hamiltonian. The phase portrait of this reduced system is subdivided into regimes using the separatrix motions, and a braid representing the topology of all vortex motions in each regime is computed. This braid also describes the isotopy class of the advection homeomorphism induced by the vortex motion. The Thurston-Nielsen theory is then used to analyse these isotopy classes, and in certain cases strong conclusions about the dynamics of the advection can be made

CRP evaluation in non-small cell lung cancer

AbstractBackgroundCRP is an inflammatory mediator that is shown to be elevated in different inflammatory and malignant conditions, the aim of the study to see whether the elevated serum CRP is correlated with the advanced stages and increased tumor size of NSCLC after exclusion of patients with high CRP due to infection.Materials and methods71 patients with proved NSCLC and 25 healthy control volunteers were selected for the study, serum CRP and PCT were analyzed, results of CRP in patients with NSCLC were compared with the control group, and subgroups were made according to different clinical variables as subtypes of lung cancer, tumor staging and tumor size.ResultsThe serum CRP level was significantly higher in patients with NSCLC compared to the control group 114.2±60.1mg/ml vs. 13.4±8.6mg/ml) with p value <0.001, no significant difference was recorded in PCT level (p>0.05), there was no significant difference between NSCLC subtypes (p>0.05), there was a positive correlation between CRP level and tumor size (p<0.01), TNM tumor staging (p<0.01).ConclusionCRP is an inflammatory biomarker that is shown to be elevated in NSCLC and its elevation is correlated with the tumor size and tumor staging but not to subtypes of NSCLC, it may point to poor outcome and poorer prognosis

Compound Multiple Access Channel with Confidential Messages

In this paper, we study the problem of secret communication over a Compound Multiple Access Channel (MAC). In this channel, we assume that one of the transmitted messages is confidential that is only decoded by its corresponding receiver and kept secret from the other receiver. For this proposed setting (compound MAC with confidential messages), we derive general inner and outer bounds on the secrecy capacity region. Also, as examples, we investigate 'Less noisy' and 'Gaussian' versions of this channel, and extend the results of the discrete memoryless version to these cases. Moreover, providing numerical examples for the Gaussian case, we illustrate the comparison between achievable rate regions of compound MAC and compound MAC with confidential messages.Comment: Accepted at IEEE ICC 2014. arXiv admin note: substantial text overlap with arXiv:1402.479