A Fractal Model of Diffusion Weighted MRI in Brain Tissue
Hansen B, Vestergaard-Poulsen P
Aarhus University, Aarhus University
We present a new model of Diffusion Weighted MRI in brain tissue using a computer generated DLA cluster to mimic grey matter cells. Neuronal growth is related to the growth-mechanism named Diffusion Limited Aggregation (DLA). This causes similarity between neurons and DLA clusters. A population of random walkers is allowed to diffuse on the DLA cluster to simulate an intra-cellular spin pool. We also include a population of diffusing extra-cellular spins. The spin populations have independent properties of diffusion and relaxation and we allow exchange between compartments. Our model also includes a random distribution of static traps to model macro-molecular signal sinks.