Oleg P. Posnansky1, N. Jon Shah1,2
1Institute of Neuroscience and Biophysics 3 - Medicine, Research Centre Juelich, Juelich, Germany; 2Faculty of Medicine, Department of Neurology, RWTH Aachen University, JARA, Aachen, Germany
We have developed a renormalization group method in order to explore the effects of a large range of geometrical and physical microparameters on the effective apparent diffusion coefficient. The main element of this method comprises the renormalization of structural parameters from the micro to the millimeter scale of the random multi-component white matter of the brain. Our approach enhances the Basser-Sen model by taking the influence of disorder into the consideration and it allows quantitative investigation of the sensitivity of the apparent diffusion coefficient to the variations of the dominant set of micro-parameters.
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