title: Computationally efficient velocity profile solutions for cardiac haemodynamics.
abstract: This work reformulates the nonlinear differential equations associated with time varying resistance in minimal cardio-vascular system models into a system of linear equations with an analytical solution. The importance of including time varying resistance is shown for a single chamber model where there is a 17.5% difference in cardiac output when compared with a constant resistance model. However, the increased complexity has significant extra computational cost. This new formulation provides a significant computational saving of 15x over the previous method. This improvement enables more physiological accuracy with minimal cost in computational time. As a result, the model can be used in clinical situations to aid diagnosis and therapy selection without compromising on physiological accuracy.
authors.affiliation: Dept. of Mech. Eng., Canterbury Univ., Christchurch, New Zealand.
authors.forename: C E
authors.initials: CE
authors.lastname: Hann
authors.forename: J G
authors.initials: JG
authors.lastname: Chase
authors.forename: B W
authors.initials: BW
authors.lastname: Smith
authors.forename: G M
authors.initials: GM
authors.lastname: Shaw