Modeling of the parenchymous vascularization and perfusion

RATIONALE AND OBJECTIVES. The authors sought to create a realistic model of the parenchymous vascularization and perfusion. METHODS. A three-dimensional vascular model has been developed that reproduces the growth process of a vascular tree (angiogenesis), This model follow's physical laws related to blood flow in vessels (Poiseuille's law), takes into account anatomic constraints, and optimizes a cost function related to the blood volume. RESULTS. Vascular trees, the ramifications of which go from main arteries to small arterioles, were simulated. Vascular structures corresponding to either a normal tissue perfusion or an abnormal perfusion (for example, a local hypervascularization) were presented in three dimensions (volume rendering). Geometric and hemodynamic characteristics computed on these trees were consistent with those of real data found in the literature, The vascular model is also a good tool for studying the propagation of the contrast product in normal and abnormal vessels, CONCLUSIONS. The three-dimensional vascular model presented in this article provides insight into the simulation and the understanding of anatomic or physiologic vascular modifications.