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Complex Metrics for Brain Dynamics

In a complex system, patterns of activity observed on a small scale are statistically similar to those observed on a larger scale. Colloquially, a complex dynamic is associated with the observation in the space of a mixture of order and disorder and when viewed through time, of periods of quasi-stationarity interrupted by surprising bursts of activity. It is established, in a variety of complex systems, that the statistical behavior of the spatial and temporal aspects are interrelated. 

Time Series Analysis

Several diseases and conditions, such as myocardial infarction, diabetic neuropathy, and myocardial dysfunction, are related to the reduction in heart rate variability. The expansion of available devices, and consequent increase of data, demand also new methods to extract as much as possible information from the provided data. Through such noninvasive methods is possible improve diagnosis and risk stratification, and at the same time decrease the costs and risks of surgical methods.

Epidemiological modelling

In the context of the recent Zika infection outbreak in Brazil, it is important to call the attention for the fact that there are more than 400 known arboviruses circulating in the world. Some of them share the susceptible population and the vectors, like in the case of Dengue fever and Zika virus. To add more complexity, the outbreaks occur mostly in urban areas, where population density is usual high, with geographic and socioeconomic factors playing an important role in the spreading of the diseases.

Complex dynamics

A range of problems typically involving chaos, synchronization, and stochastic dynamics.