Modelling cardiac fluid dynamics and diastolic function

S. J. Kovács, D. M. McQueen, Charles Peskin

Research output: Contribution to journalArticle

Abstract

Two complementary mathematical modelling approaches are covered. They contrast the degree of mathematical and computational sophistication that can be applied to cardiovascular physiology problems and they highlight the differences between a fluid dynamic versus kinematic (lumped parameter) approach. McQueen & Peskin model cardiovascular tissue as being incompressible, having essentially uniform mass density, and apply a modified form of the Navier-Stokes equations to the four chambered heart and great vessels. Using a supercomputer their solution provides fluid, wall and valve motion as a function of space and time. Their computed results are consistent with flow attributes observed in vivo via cardiac MRI. Kovács focuses on the physiology of diastole. The suction pump attribute of the filling ventricle is modelled as a damped harmonic oscillator. The model predicts transmitral flow-velocity as a function of time. Using the contour of the clinical Doppler echocardiographic E- and A-wave as input, unique solution of Newton's Law allows solution of the 'inverse problem' of diastole. The model quantifies diastolic function in terms of model parameters accounting for (lumped) chamber stiffness, chamber viscoelasticity and filling volume. The model permits derivation of novel (thermodynamic) indexes of diastolic function, facilitates non-invasive quantitation of diastolic function and can predict 'new' physiology from first principles.

Original languageEnglish (US)
Pages (from-to)1299-1314
Number of pages16
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume359
Issue number1783
DOIs
StatePublished - Jun 15 2001

Fingerprint

Diastolic Function
fluid dynamics
Fluid Dynamics
Fluid dynamics
Cardiac
physiology
Physiology
diastole
Modeling
chambers
Attribute
Predict
supercomputers
Model
Supercomputers
Viscoelasticity
viscoelasticity
suction
Supercomputer
Suction

Keywords

  • Cardiology
  • Cardiovascular physiology modelling
  • Diastole
  • Doppler echocardiography
  • Navier-Stokes equations
  • Supercomputer

ASJC Scopus subject areas

  • General

Cite this

Modelling cardiac fluid dynamics and diastolic function. / Kovács, S. J.; McQueen, D. M.; Peskin, Charles.

In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 359, No. 1783, 15.06.2001, p. 1299-1314.

Research output: Contribution to journalArticle

Kovács, S. J. ; McQueen, D. M. ; Peskin, Charles. / Modelling cardiac fluid dynamics and diastolic function. In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2001 ; Vol. 359, No. 1783. pp. 1299-1314.
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