2009
DOI: 10.1007/s11538-009-9412-z
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Numerical Simulation of Blood Flow Through Microvascular Capillary Networks

Abstract: A numerical method is implemented for computing blood flow through a branching microvascular capillary network. The simulations follow the motion of individual red blood cells as they enter the network from an arterial entrance point with a specified tube hematocrit, while simultaneously updating the nodal capillary pressures. Poiseuille's law is used to describe flow in the capillary segments with an effective viscosity that depends on the number of cells residing inside each segment. The relative apparent vi… Show more

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Cited by 40 publications
(47 citation statements)
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“…In this work, the cell was represented with a network of viscoelastic spring elements, and therefore the interior cytoplasm flow was not resolved. In addition to these explicit models for flow and RBCs, a phenomenal approach using probability functions has also been utilized to study RBC distribution in a capillary network (Schmid-Schonbein et al 1980;Furman and Olbricht 1985;Pozrikidis et al 2009). …”
Section: Introductionmentioning
confidence: 99%
“…In this work, the cell was represented with a network of viscoelastic spring elements, and therefore the interior cytoplasm flow was not resolved. In addition to these explicit models for flow and RBCs, a phenomenal approach using probability functions has also been utilized to study RBC distribution in a capillary network (Schmid-Schonbein et al 1980;Furman and Olbricht 1985;Pozrikidis et al 2009). …”
Section: Introductionmentioning
confidence: 99%
“…Their results confirmed the occurrence spontaneous, selfsustained oscillations under restricted conditions. Recently, Pozrikidis (2009) proposed a simulation framework where the motion of the individual red blood cells is followed through a branching network. His results provided further evidence for the occurrence of unsteady motion in a tree-like network manifested by large variations in the tube hematocrit.…”
Section: Introductionmentioning
confidence: 99%
“…Following Pozrikidis [4], Davis and Pozrikidis [1], and other previous authors, we consider a tree-like model network branching from a single entrance point to multiple exit points, as discussed in Sect. 4.…”
Section: Bifurcating Tree Networkmentioning
confidence: 99%
“…The particle concentration in each stream leaving a diverging bifurcation depends on the corresponding fractional flow rate (e.g., [4]). This dependence is incorporated into the model as an effective boundary condition for H D at the entrance of the segments originating at the bifurcation.…”
Section: Bifurcation Lawmentioning
confidence: 99%
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