Towards Microstructure Based Tissue Perfusion Reconstruction From Ct Using Multiscale Modeling

Abstract

Abstract. The paper deals with modeling of blood perfusion and simulation of dynamic CT investigation. The flow can be characterized at several scales for which different models are used. We focus on two levels: flow in larger branching vessels is described using a simple "1D" model based of the Bernoulli equation. This model is coupled through point sources/sinks with a "0D" model describing multicompartment flows in tissue parenchyma. We propose also a model of homogenized layer which can better reflect arrangement of the microvessels; the homogenization approach will be used to describe flows in the parenchyma by a two-scale model which provides the effective parameters dependent on the microstructure. The research is motivated by modeling liver perfusion which should enable an improved analysis of CT scans. For this purpose we describe a dynamic transport of the contrast fluid at levels of the "1D" and "0D" models, so that time-space distribution of the so-called tissue density can be computed and compared with the measured data obtained form the CT.