Coherent and incoherent ultrasound backscatter from cell aggregates
Résumé
The Effective Medium Theory (EMT) combined with the Structure Factor Model was recently developed to model the ultrasound backscatter from aggregating Red Blood Cells (RBCs) [Frances-chini, Metzger, Cloutier, IEEE UFFC, 2011]. The EMT assumes that aggregates can be treated as homogeneous effective spheres and the structure factor considers the interactions between the effective spheres. In this study, the EMT is further developed to decompose the differential backscattering cross section of a single cell aggregate into coherent and incoherent components. The coherent component corresponds to the average backscatter from the effective scatterer, and the incoherent component considers the fluctuation of the scattering wave around its average within the effective scatterer. A new theoretical expression for the incoherent component based on the structure factor is proposed and compared with another formulation based on the Gaussian direct correlation function. This theoretical improvement is assessed using computer simulations of ultrasound backscatter from aggregating cells. The consideration of the incoherent component based on the structure factor allows to approximate the simulations satisfactorily for a krag limit around 2, against a krag limit comprised between 1.07 and 1.47 with the former model considering only the coherent component.
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