[The quantization of regional blood flow and volume with contrast echography: a mathematical model]

In this paper is described a new mathematical model for the study of regional blood flow in organs accessible to ultrasonic imaging. A prerequisite for the correct application of this model is the utilization of an echocontrast agent presenting with the same microrheology as red blood cells. This model is derived from an implementation of the indicator-dilution theory and is specifically designed to calculate relative changes in blood flow and volume in neighboring segments within the same organ. With this model is not required the acquisition of an input function, that is one of the major shortcomings affecting the classical theory. The applicability of quantitative contrast ultrasonography in humans may have a significant impact on our understanding of the pathophysiology of cardiovascular diseases