Семинар за рачунарство и примењену математику, 9. децембар 2014.

• 08. Децембар, 2014
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Наредни састанак Семинара за биће одржан у уторак, 9. децембра 2014. у сали 301ф Математичког института САНУ са почетком у 14:15 часова.

Предавач: Ненад Филиповић, University of Kragujevac

Наслов предавања: MODELING OF PLAQUE FORMATION AND PROGRESSION IN THE ARTERY

Садржај: In this study, we analyzed animal experiments and clinical data for plaque formation and progression. The 3D blood flow is governed by the Navier-Stokes equations, together with the continuity equation. Mass transfer within the blood lumen and through the arterial wall is coupled with the blood flow and is modeled by the convection-diffusion equation. LDL transport in lumen of the vessel is described by Kedem-Katchalsky equations. The inflammatory process is solved using three additional reaction-diffusion partial differential equations. Experimental model of plaque formation on pig LAD is simulated numerically using a specific animal data obtained from intravascular ultrasound (IVUS) and histological data. Computed concentration of macrophages for pig model indicates that there is a newly formed matter in the intima, especially at foam cell lipids area which varied from 12 to 20% and chemokine receptor type 4 (CXCR4) areas from 1.5 to 3.5%. Patient study predicts new plaque formation after 12 months follow up which corresponds to size and plaque composition. Matching of plaque location, size and composition progression in time between experimental and computer model shows a potential benefit for future prediction of this vascular decease.