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Hematocrit Distribution. Research Update Jan18, 2012 Professor Linninger LPPD Mentor Ian Maurice Chojecki. Semester Goals. Document Hemodynamic properties Hematocrit Distribution – Done Viscosity as a Function of Diameter Modeling of the oxygen supply to the functional blood unit
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Hematocrit Distribution Research Update Jan18, 2012 Professor Linninger LPPD Mentor IanMaurice Chojecki
Semester Goals • Document Hemodynamic properties • Hematocrit Distribution – Done • Viscosity as a Function of Diameter • Modeling of the oxygen supply to the functional blood unit • Residence time in cerebral vasculature (angiography) • Aid in the Competition of the paper
Hematocrit Balancing • Conservation Balance • Steady State case, Hematocrit and Plasma balance
Hematocrit Balancing • Hematocrit with vessels governed by • The Balance Becomes
Hematocrit Balancing • This relationship reduces down to • This Relation was reduced to the relationship
Testing Bifurcations • A simple Bifurcation was tested • Diameter and Lengths were varied to see changes in blood cell division
Fractional Flow of Erythrocytes Piecewise distribution of Red Blood cells If If If
Fractional Flow of Blood Cells Vessel Diameter of Daughter α
Full Network for Hematocrit Division • A full network was created to ensure that the balance was consistent over a large network
Fractional Flow of Erythrocytes • Other Related Constants