Validation of the Effective Medium Theory combined
with the Structure Factor Model in predicting RBCs
aggregation from the ultrasonic backscattering
coefficient:
Ali Traoré-Dubuis
1
E. Franceschini
2
, R.K. Saha
3
, G. Cloutier
1,4
1
Laboratory of Biorheology and Medical Ultrasonics, Research Center, University
of Montreal Hospital, Notre-Dame Hospital,Montreal Canada
2
Laboratory of Mechanics and Acoustics, LMA - CNRS UPR 7051, Marseille,
France
3
Department of Physics, Ryerson University, Toronto, Ontario, Canada
4
Department of Radiology, Radio-Oncology and Nuclear Medicine, University of
Montreal, Montreal, Canada
Abstract
Quantitative ultrasound based on backscattering coefficient applied to blood aim to
characterize RBCs (RBCs) aggregation, a biophysical phenomenon associated with
hemorheological disorders. Mathematical modeling is known to be the optimal way to
describe the interaction between ultrasound and tissues occurring at the cellular level.
The structure factor model (SFM), considered as the exact scattering model, predicted the
backscattering coefficient from blood. However, the numerical SFM cannot be applied in
real time for practical measurements and does not provide structural parameter such as
aggregate size to assess the level of aggregation. Therefore, a new model based on the
effective medium theory was proposed in order to tackle this difficulty. The effective
medium theory combined with the structure factor model (EMTSFM) can be applied in
real time and contrary to the SFM provides two indices of the aggregate state in vivo: the
aggregate size and compactness. Our aim here is to assess the accuracy of the EMTSFM
against the SFM by comparing their BSC in the framework of a forward problem, i.e., the