The Fractal Geometry of the Brain by Antonio Di Ieva

Author:Antonio Di Ieva
Language: eng
Format: epub, pdf
Publisher: Springer New York, New York, NY

17.6 Concluding Remarks

Some researchers believe that the rupture risk is associated with the irregularity of the flow pattern around the region of the aneurysm [5]. According to our findings, the emergent flow properties are in strong connection with the chaotic behavior of the advection in it. Thus, the measured quantities might be used as an indicator on the flow pattern complexity. Quantitative measures of the chaotic and fractal behavior for the same geometry, similarly to those for the 2D simplified geometry here, were computed in [34]. It was also discussed in [17] that chaotic advection is capable of influencing the ongoing biochemical reactions significantly. It can be speculated that this might induce a cascade of far ranging changes in the ongoing processes from endothelial functions to nutrition mechanisms leading to altered behavior in the wall tissues. For example, the wall of these arteries are dependent on oxygenated blood for their metabolic needs. The presence of chaotic structures might alter the residence time and thus the level of deoxyhemoglobin present inside the aneurysm.

Therefore, using this study about the very fabric of the emergent flow structures, the chaotic quantities might turn out to be useful for characterizing cerebral aneurysms as they might predict the biochemical behavior of the concerned vessel section.

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