Structure Factor Size Estimator Research Articles

Comparison of three scattering models for ultrasound blood characterization

Ultrasonic backscattered signals from blood contain frequency-dependent information that can be used to obtain quantitative parameters reflecting the aggregation level of red blood cells (RBCs). The approach is based on estimating structural aggregate parameters by fitting the spectrum of the backscattered radio-frequency echoes from blood to an estimated spectrum considering a theoretical scattering model. In this study, three scattering models were examined: a new implementation of the Gaussian model (GM), the structure factor size estimator (SFSE), and the new effective medium theory combined with the structure factor model (EMTSFM). The accuracy of the three scattering models in determining mean aggregate size and compactness was compared by 2-D and 3-D computer simulations in which RBC structural parameters were controlled. Two clustering conditions were studied: 1) the aggregate size varied and the aggregate compactness was fixed in both 2-D and 3-D cases, and 2) the aggregate size was fixed and the aggregate compactness varied in the 2-D case. For both clustering conditions, the EMTSFM was found to be more suitable than GM and SFSE for characterizing RBC aggregation.

Ultrasonic parametric imaging of erythrocyte aggregation using the structure factor size estimator

Ultrasound characterization of erythrocyte aggregation (EA) is attractive because it is a non-invasive imaging modality that can be applied in vivo and in situ. An experimental validation of the Structure Factor Size Estimator (SFSE), a non-Rayleigh scattering model adapted for dense suspensions, was performed on 4 erythrocyte preparations with different aggregation tendencies. Erythrocyte preparations were circulated in Couette and tube flows while acoustically imaged over a bandwidth of 9-28 MHz. Two acoustically derived parameters, the packing factor (W) and ensemble averaged aggregate size (D), predictably increased with increasing EA, a finding corroborated by bulk viscosity measurements. In tube flow, a "black hole" reflecting the absence of aggregates was observed in the center stream of some parametric images. The SFSE clearly allowed quantifying the EA spatial distribution with larger aggregates closer to the tube walls as the aggregation tendency was increased. In Couette flow, W and D were uniformly distributed across the shear field. Assuming that the viscosity increase at low shear is mainly determined by EA, viscosity maps were computed in tube flow. Interestingly, erythrocyte suspensions with high aggregabilities resulted in homogeneous viscosity distributions, whereas a "normal" aggregability promoted the formation of concentric rings with varying viscosities.

Experimental ultrasound characterization of red blood cell aggregation using the structure factor size estimator

The frequency dependence of the ultrasonic backscattering coefficient (BSC) was studied to assess the level of red blood cell (RBC) aggregation. Three monoelement focused wideband transducers were used to insonify porcine blood sheared in a Couette flow from 9 to 30 MHz. A high shear rate was first applied to promote disaggregation. Different residual shear rates were then used to promote formation of RBC aggregates. The structure factor size estimator (SFSE), a second-order data reduction model based on the structure factor, was applied to the frequency-dependent BSC. Two parameters were extracted from the model to describe the level of aggregation at 6% and 40% hematocrits: W, the packing factor, and D the aggregate diameter, expressed in number of RBCs. Both parameters closely matched theoretical values for nonaggregated RBCs. W and D increased during aggregation with stabilized values modulated by the applied residual shear rate. Furthermore, parameter D during the kinetics of aggregation at 6% hematocrit under static conditions correlated with an optical RBC aggregate size estimation from microscopic images (r(2)=0.76). To conclude, the SFSE presents an interesting framework for tissue characterization of partially correlated dense tissues such as aggregated RBCs.