Fractional Gaussian noise, functional MRI and Alzheimer's disease

The Hurst phenomenon and fractional Gaussian noise made easy

The Hurst phenomenon, which characterizes hydrological and other geophysical time series, is formulated and studied in an easy manner in terms of the variance and autocorrelation of a stochastic process on multiple temporal scales. In addition, a simple explanation of the Hurst phenomenon based on the fluctuation of a hydrological process upon different temporal scales is presented. The stochas...

Kramers-like escape driven by fractional Gaussian noise.

We investigate the escape from a potential well of a test particle driven by fractional Gaussian noise with Hurst exponent 0<H<1. From a numerical analysis we demonstrate the exponential distribution of escape times from the well and analyze in detail the dependence of the mean escape time on the Hurst exponent H and the particle diffusivity D. We observe different behavior for the subdiffusive...

Magnesium and Alzheimers Disease: The Cholinergic Hypothesis

The cholinergic deficit in Alzheimer’s disease (AD) remains the cornerstone for the understanding of chemical signal transfer. Hypofunctions of cholinergic systems are significantly involved in the signs and symptoms of senile dementia of the Alzheimer type. Cognitive deficits in AD have been widely associated with dysfunction of the cholinergic system. As a diagnostic marker of AD the activity...

Functional MRI in Alzheimer’s Disease

Current State of Alzheimers Disease Research Therapeutics

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