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Computationally efficient vascular input function models for quantitative kinetic modelling using DCE-MRI.

Matthew R Orton1, James A d'Arcy, Simon Walker-Samuel

  • 1Cancer Research UK Clinical MR Research Group, Institute of Cancer Research and Royal Marsden NHS Foundation Trust, Sutton, Surrey SM2 5PT, UK.

Physics in Medicine and Biology
|February 26, 2008
PubMed
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Accurate vascular input function modeling is crucial for dynamic contrast-enhanced MRI (DCE-MRI) parameter estimation. The cosine model offers the most accurate and efficient method for DCE-MRI analysis, especially with plasma fractions.

Area of Science:

  • Medical Imaging
  • Biophysics
  • Pharmacokinetics

Background:

  • Accurate tissue kinetic parameter estimation in dynamic contrast-enhanced MRI (DCE-MRI) relies on a precise description of the vascular input function.
  • Existing methods for modeling the vascular input function can be computationally intensive, potentially limiting their clinical applicability.

Purpose of the Study:

  • To introduce a general modeling framework for compact functional forms of vascular input functions in DCE-MRI.
  • To develop and evaluate realistic models that allow for analytical calculation of tissue concentration curves, enhancing computational efficiency.
  • To compare the performance and accuracy of different vascular input function models, including exponential, gamma-variate, and cosine functions.

Main Methods:

  • Development of a general modeling framework for vascular input functions.

Related Experiment Videos

  • Implementation and simulation of three specific models: exponential, gamma-variate, and cosine.
  • Investigation of model performance under varying plasma fraction conditions and comparison with a fast-Fourier-transform-based numerical approach.
  • Main Results:

    • The cosine model demonstrated minimal bias (less than 5%) in parameter estimation, even with larger plasma fractions, and was indistinguishable from the data-generating model.
    • Exponential and gamma-variate models showed significant bias (up to 50% and 10% respectively) with increasing plasma fractions.
    • Analytic calculation methods were 4-10 times faster than numerical convolution approaches, significantly improving computational efficiency for parameter estimation.

    Conclusions:

    • The proposed modeling framework provides efficient and accurate vascular input function descriptions for DCE-MRI.
    • The cosine model is recommended for its robustness and accuracy, particularly in the presence of plasma fractions.
    • The computational efficiency of analytic methods makes them highly suitable for clinical application of DCE-MRI parameter estimation.