On deriving lumped models for blood flow and pressure in the systemic arteries

Computational Fluid and Solid Mechanics 2003

Volumn , Issue , 2003, Pages 1786-1789

  Olufsen, Mette S ^a   Nadim, Ali ^b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b KECK GRADUATE INSTITUTE   (United States)

Author keywords

Arterial modeling; Lumped arterial models

Indexed keywords

BLOOD; CARDIOVASCULAR SYSTEM; HEMODYNAMICS; LAPLACE TRANSFORMS; NAVIER STOKES EQUATIONS;

ARTERIAL MODEL; ELASTIC ARTERY; ELECTRICAL CIRCUIT MODELS; FIRST-ORDER MODELS; LUMPED MODELS; RESIDUE THEORY; SYSTEMIC ARTERIES; TIME DEPENDENT;

LUMPED PARAMETER NETWORKS;

EID: 4344643650     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-008044046-0.50436-X     Document Type: Chapter

References (10)

1. Avolio AP Multi-branched model of the human arterial system. Med Biol Eng Comput 1980, 18:709-718.
2. Berger SA Flow in large blood vessels. Comtemp Math Am Math Soc 1993, 141:479-518. A.Y. Cheer, C.P. van Dam (Eds.).
3. Keener J, Sneyd J Mathematical Physiology. Interdisciplinary Applied Mathematics 1998, Vol. 8. Springer-Verlag, New York.
4. Olufsen MS Structured tree outflow condition for blood flow in larger systemic arteries. Am J Physiol 1999, 276:H257-H267.
5. Olufsen MS, Peskin CS, Larsen J, Nadim A Derivation and validation of physiologic outflow condition for blood flow in the systemic arteries. Ann Biomed Eng 2000, 28:1281-1299.
6. Olufsen MS, Nadim A On deriving lumped models for blood flow and pressure in the systemic arteries Sep 2002, Submitted.
7. Segers P, Dubois F, DeWachter D, Verdonck P Role and relevancy of a cardiovascular simulator. J Cardiovasc Eng 1998, 3:48-56.
8. Stergiopulos N, Young DF, Rogge TR Computer simulation of arterial flow with applications to arterial and aortic stenosis. J Biomech 1992, 25:1477-1488.
9. Stergiopulos N, Westerhof BE, Westerhof N Total arterial inertance as the fourth element of the windkessel model. Am J Physiol 1999, 276:H81-H88.
10. Westerhof N, Bosman F, De Vries CJ, Noordergraaf A Analog studies of the human systemic arterial tree. J Biomech 1969, 2:121-143.