Variation in axial velocity profile of red cells passing through a single capillary

Automated Method for Tracking Individual Red Blood Cells Within Capillaries to Compute Velocity and Oxygen Saturation

OBJECTIVE

The authors present a new method to track individual red blood cells (RBCs) as they move through capillaries. This method uses a recently developed Measurement and Analysis System for Capillary Oxygen Transport (MASCOT) and the concept of space-time images to track RBCs between consecutive frames of video recordings of the microcirculation.

METHODS

A space-time image displays in a single static image for a single capillary the location of all RBCs as a function of time. Analysis is performed on video tapes of RBC flow through capillaries to obtain velocity of individual cells as they traverse the capillary of interest. A space-time image is generated to track RBCs from one frame to the next and their velocities are computed. Based on the optical density values of each cell obtained from synchronized videotapes at two wavelengths, the oxygen saturation of a cell can be determined. In this manner, oxygen saturation can be tracked for the same cells as they move through the capillary.

RESULTS AND CONCLUSIONS

These measurements, taken together, allow one to determine how much and how fast oxygen is being delivered to the surrounding tissue. This method provides, for the first time, a way to track individual RBCs flowing through capillary networks and study their RBC dynamics and oxygenation.

Motion of red blood cells in capillaries with variable cross-sections

Red blood cells undergo continual deformation when traversing microvessels in living tissues. This may contribute to higher resistance to blood flow observed in living microvessels, compared with that in corresponding uniform glass tubes. We use a theoretical model to simulate single-file motion of red cells though capillaries with variable cross-sections, assuming axisymmetric geometry. Effects of cell membrane shear viscosity and elasticity are included, but bending resistance is neglected. Lubrication theory is used to describe the flow of surrounding plasma. When a red cell encounters a region of capillary narrowing, additional energy is dissipated, due to membrane viscosity, and due to narrowing of the lubrication layer, increasing the flow resistance. Predicted resistance to cell motion in a vessel with periodic constrictions (diameter varying between 5 microns and 4 microns) is roughly twice that in a uniform vessel with diameter 4.5 microns. Effects of transient red cell deformations may contribute significantly to blood flow resistance in living microvessels.

Heterogeneity of red blood cell perfusion in capillary networks supplied by a single arteriole in resting skeletal muscle

Flow heterogeneity within capillary beds may have two sources: (1) unequal distribution of red blood cell (RBC) supply among arterioles and (2) unique properties of RBC flow in branching networks of capillaries. Our aim was to investigate the capillary network as a source of both spatial and temporal heterogeneity of RBC flow. Five networks, each supplied by a single arteriole, were studied in frog sartorius muscle (one network per frog) by intravital video microscopy. Simultaneous data on RBC velocity (millimeters per second), lineal density (RBCs per millimeter), and supply rate (RBCs per second) were measured continuously (10 samples per second) from video recordings in 5 to 10 capillary segments per network for 10 minutes by use of automated computer analysis. To quantify heterogeneity, mean values from successive 10-second intervals were tabulated for each flow parameter in each capillary segment (ie, portion of capillary between successive bifurcations), and percent coefficient of variation (SD/mean.100%) was calculated for (1) spatial heterogeneity among vessels (CVs) every 10 seconds and for the entire 10-minute sample and (2) temporal heterogeneity within vessels for every capillary segment and for the mean flow parameter. Analysis of these data indicates that (1) capillary networks are a significant source of both spatial and temporal flow heterogeneity, and (2) continuous redistributions of flow occur within networks, resulting in substantial temporal changes in CVs, although a persistent spatial heterogeneity of perfusion still exists on a 10-minute basis. In most networks, CVs decreased as supply rate within the network increased, thus indicating that rheology plays a significant role in determining the perfusion heterogeneity.

Erythrocyte flow heterogeneity in the cerebrocortical capillary network

The heterogeneity of erythrocyte flow velocity and erythrocyte flux and their dependence on decreased cerebral perfusion pressure were studied in the rat cerebral cortex using intravital video microscopy. With decreased perfusion pressure, both mean and range of erythrocyte flow velocity of individual capillaries was reduced. Both cell velocity and cell flux decreased more in high flow capillaries than in low flow capillaries. The results are compatible with the hypothesis that redistribution of capillary flow during hypotension may help to maintain the perfusion of arterio-venous capillary flow pathways. Although the data are preliminary, they represent the first direct measurements of capillary flow path length and transit time in the capillary network of the cerebral cortex.