Reconciliation of windkessel and distributed descriptions of linear arterial systems

TY - CONF

T1 - Reconciliation of windkessel and distributed descriptions of linear arterial systems

AU - Quick, Christopher M.

AU - Li, John K.J.

AU - O'Hara, Dorene

AU - Noordergraaf, Abraham

PY - 1995

Y1 - 1995

N2 - Input impedance describes the relationship of pressure and flow at the entrance of an arterial system. Two distinct approaches have been used to model the input impedance: a distributed approach based on the wave equation and a lumped approach based upon conservation of mass. This lumped approach was first used by Otto Frank in his derivation of the windkessel. However, his windkessel contains the assumption that pulse wave velocity is infinitely fast. By eliminating this assumption, a hybrid model based upon both conservation of mass and the wave equation is derived.

AB - Input impedance describes the relationship of pressure and flow at the entrance of an arterial system. Two distinct approaches have been used to model the input impedance: a distributed approach based on the wave equation and a lumped approach based upon conservation of mass. This lumped approach was first used by Otto Frank in his derivation of the windkessel. However, his windkessel contains the assumption that pulse wave velocity is infinitely fast. By eliminating this assumption, a hybrid model based upon both conservation of mass and the wave equation is derived.

UR - https://www.scopus.com/pages/publications/0029231445

UR - https://www.scopus.com/inward/citedby.url?scp=0029231445&partnerID=8YFLogxK

M3 - Paper

SP - 469

EP - 470

T2 - Proceedings of the 1995 Bioengineering Conference

Y2 - 28 June 1995 through 2 July 1995

ER -