Distributed Models and Tube Models
The distributed, or 1-D models of the systemic arterial system account for the morphology, oscillatory flow theory, and viscoelastic properties of the arterial wall. Pressures and flow wave shapes and wave travel compare favorably with in vivo data. The 3-D models account for flow profiles in the vessels. Patient-specific models have recently been developed. Distributed models allow the study of wave travel, reflections, the study of wave reflections at different locations in the arterial tree. Simpler models such as single tubes, or two tubes in parallel are discussed in the text. They are limited in their description of wave travel.
KeywordsArterial models Single uniform tube model Tapered tube model Wave travel Reflection Amplification
- 3.Reymond P, Bohraus Y, Perren F, Lazeyras F, Stergiopulos N. Validation of a patient-specific one-dimensional model of the systemic arterial tree. Am J Phys. 2011;301:H1173–82.Google Scholar
- 4.Olufsen MS. Structured tree outflow condition for blood flow in larger systemic arteries. Am J Phys. 1999;276:H257–68.Google Scholar
- 17.Hamilton WF, Dow P. An experimental study of the standing waves in the pulse propagated through the aorta. Am J Phys. 1939;125:48–59.Google Scholar
- 23.Campbell KB, Burattini R, Bell DL, Kirkpatrick RD, Knowlen GG. Time-domain formulation of asymmetric T-tube model of the arterial system. Am J Phys. 1990;258:H1761–74.Google Scholar