A lumped parameter model of left ventricular filling - Pressure waveforms

Lee Waite, Stephan Schulz, Gabor Szabo, Christian F. Vahl

Research output: Contribution to journalArticle

11 Citations (Scopus)


Assessment of left-ventricular function and quantification of valve stenosis are important in clinical practice as well as in physiological research. This paper describes a mathematical model of diastolic ventricular filling and flow across the mitral valve. The model primarily consists of a system of three first-order, non-linear ordinary differential equations. The equations are solved in MATLAB using the ode45 command. The model generates pressure versus time waveforms for the atrium and ventricle, and flow versus time waveforms for mitral valve flow. Comparisons between model outputs and in-vivo data collected in two porcine experiments show excellent agreement.

Original languageEnglish
Pages (from-to)75-80
Number of pages6
JournalBiomedical Sciences Instrumentation
Publication statusPublished - May 15 2000


  • Diastolic filling
  • Lumped parameter model
  • Mathematical model
  • Mitral
  • Mitral valve

ASJC Scopus subject areas

  • Biophysics
  • Medical Laboratory Technology

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