Can Analysis of Transmitral Flow-Velocity Contours Differentiate Between Alternative Diastolic Pressure–Volume Relations?

  • Brian S. Oommen
  • Mustafa Karamanoglu
  • Sándor J. Kovács


Several expressions have been considered for the diastolic pressure–volume (PV) relation whose mechanical analogue is the force–length relation. How alternative PV relations modify transmitral flow (Doppler E-wave) velocity contours has not been explored. The linear force–length term of a previously validated lumped parameter transmitral flow model was replaced by a logarithmic, exponential, or power law term for E-wave prediction. Model-based image processing (MBIP) was used for model-predicted flow vs. clinical E-wave comparison using root-mean-square-error (RSME) as an index of goodness-of-fit. RMSE of fits to ≈100 cm/s amplitude E-waves for linear, logarithmic, power law, and exponential relations were indistinguishable [RMSE: 4.1 ± 1.2%, 4.9 ± 1.4%, 5.1 ± 2.0%, and 5.3 ± 1.6% (mean ± SD), respectively]. We conclude that the linear force–length relation is suitable for E-wave based quantitative diastolic function assessment with the added benefit of closed form solutions to the “inverse problem” of diastole. Conversely, it is not possible to distinguish whether a ventricle obeys a linear, power law, exponential, or logarithmic PV relation by MBIP of E-waves.

PV relations echocardiography diastole inverse problem physiologic modeling 


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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • Brian S. Oommen
    • 1
  • Mustafa Karamanoglu
    • 1
  • Sándor J. Kovács
    • 1
  1. 1.Cardiovascular Biophysics LaboratoryWashington University School of MedicineSt. Louis

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