Using Porous Media Theory to Determine the Coil Volume Needed to Arrest Flow in Brain Aneurysms - Porous Media: Applications in Biological Systems and Biotechnology - page 231

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Using Porous Media Theory to Determine
the Coil Volume Needed to Arrest Flow in
Brain Aneu rysms

Khalil M. Khanafer
Vascular Mechanics Laboratory, Department of Biomedical Engineering
and Section of Vascular Surgery, University of Michigan, Ann Arbor, MI

Ramon Berguer
Vascular Mechanics Laboratory, Department of Biomedical Engineering
and Section of Vascular Surgery, University of Michigan, Ann Arbor, MI

CONTENTS

6.1 Nomenclature ............................................................... 231
6.2 Introduction ................................................................. 232
6.3 Physics of Cerebral Aneurysms ............................................. 232
6.4 Background ................................................................. 234
6.4.1 Clinical and Experimental Studies Associated with the
Treatment of Aneurysms Using Stent Implantation and Coil
Placement ........................................................... 234
6.4.2 Computational Studies Associated with Combined Use of
Stents and Coils for the Treatment of Cerebral Aneurysms ........ 235
6.5 Mathematical Formulations ................................................. 237
6.6 Construction of Brain Aneurysm Meshes from CT Scans .................. 239
6.7 Results and Discussion...................................................... 240
6.8 Minimum Packing Density of the Endovascular Coil ....................... 242
6.9 Future Work ................................................................ 244
6.10 Conclusions ................................................................. 245
6.11 References ................................................................... 245

6.1 Nomenclature

d Diameter of the parent vessel

Darcy number, K/d 2 Da

Acknowledgment
This work was supported by the Frankel Vascular Research Fund.

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