1. Персонифицированная реконструкция сосудистого русла для гемодинамического моделирования 6th Russian workshop on mathematical models and numerical methods in biomathematics October 29, 2014, Moscow Yury Ivanov (INM RAS), Roman Pryamonosov (MSU)

2. 3D reconstruction of vascular structure for patient- specific simulation CT, MRT diagnostic data in DICOM files Image preprocessing Performing vessels segmentation Extraction of vascular structure Geometric analysis and building topology of a vascular segment Simulation with network blood circulation model

3. 3D vessel segmentation Amira 3D Visualization and Analysis Software for Life Sciences and bio-medical data http://www.vsg3d.com/amira Volume of interest extraction Arithmetic operation on images Noise reduction with digital image filters Segmentation

4. Extraction of vascular structure VMTK (The Vascular Modeling Toolkit) - open source library, http://www.vmtk.orghttp://www.vmtk.org Computing centerlines – convenient way of representation of tube-like structure as sets of center points and corresponding radiuses. Centerlines defined as centers of maximal inscribed spheres, calculated with Voronoi diagram method.

5. Patient specific reconstruction of vascular network for haemodynamic modeling. 3D vascular domain: polygonal surface mesh and computed centerlines

6. Export data into GUI and building of topology Export centerlines in VTK format Converting to the internal format of vessel representation. Visualize 3D objects Perform hierarchical connectivity analysis: determination of intersection with consecutive building of node and branch tables. Every branch entry has information about pair of nodes, average radius and actual length (along the vessel axis)

7. Построение графа сосудистой сети * - T. Gamilov, Yu. Ivanov, P. Kopylov, S. Simakov, Yu. Vassilevski. Patient specific haemodynamic modeling after occlusion treatment in leg. Mathematical Modelling of Natural Phenomena. 9(6), 85--97 (2014) The complexity of algorithm* is O(M 2 N) M – number of centerlines N – number of points in centerline

8. Patient specific reconstruction of vascular network for hemodynamic modeling The vascular network of arterial part of systemic circulation based on PlasticBoy 3D anatomy model. (Realistic model of Circulatory System - http://www.plasticboy.co.uk/)