Direct Numerical Simulation of Cellular-Scale Blood Flow in 3D Microvascular Networks

• Published in: Biophysical journal Vol. 113; no. 12; pp. 2815 - 2826
• Main Authors: Balogh, Peter, Bagchi, Prosenjit
• Format: Journal Article
• Language: English
• Published: United States Elsevier Inc 19-12-2017; Biophysical Society; The Biophysical Society
• Subjects: Bifurcations; Blood; Blood Circulation; Blood flow; Blood vessels; Cells; Cellular communication; Computer simulation; Correlation analysis; Deformation; Deformation mechanisms; Direct numerical simulation; Erythrocytes; Erythrocytes - metabolism; Flow velocity; Geometry; Hematocrit; Hemodynamics; Heterogeneity; In vivo methods and tests; Jamming; Mathematical models; Microvasculature; Microvessels - cytology; Microvessels - physiology; Models, Biological; Simulation; Systems Biophysics; Three dimensional flow; Tubes; Vascular Resistance; Viscosity
• ISSN: 0006-3495; 1542-0086
• DOI: 10.1016/j.bpj.2017.10.020

We present, to our knowledge, the first direct numerical simulation of 3D cellular-scale blood flow in physiologically realistic microvascular networks. The vascular networks are designed following in vivo images and data, and are comprised of bifurcating, merging, and winding vessels. Our model resolves the large deformation and dynamics of each individual red blood cell flowing through the networks with high fidelity, while simultaneously retaining the highly complex geometric details of the vascular architecture. To our knowledge, our simulations predict several novel and unexpected phenomena. We show that heterogeneity in hemodynamic quantities, which is a hallmark of microvascular blood flow, appears both in space and time, and that the temporal heterogeneity is more severe than its spatial counterpart. The cells are observed to frequently jam at vascular bifurcations resulting in reductions in hematocrit and flow rate in the daughter and mother vessels. We find that red blood cell jamming at vascular bifurcations results in several orders-of-magnitude increase in hemodynamic resistance, and thus provides an additional mechanism of increased in vivo blood viscosity as compared to that determined in vitro. A striking result from our simulations is negative pressure-flow correlations observed in several vessels, implying a significant deviation from Poiseuille’s law. Furthermore, negative correlations between vascular resistance and hematocrit are observed in various vessels, also defying a major principle of particulate suspension flow. To our knowledge, these novel findings are absent in blood flow in straight tubes, and they underscore the importance of considering realistic physiological geometry and resolved cellular interactions in modeling microvascular hemodynamics.