The use of error-category mapping in pharmacokinetic model analysis of dynamic contrast-enhanced MRI data

Andrew B Gill1, Gayathri Anandappa2, Andrew J Patterson3

  • 1Department of Radiology, Box 218, University of Cambridge, Cambridge Biomedical Campus, Cambridge, UK; Department of Medical Physics, Box 152, Cambridge University Hospitals, Cambridge Biomedical Campus, Cambridge, CB2 0QQ, UK.

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Physiological and compartmental models are valuable tools used in studying biological systems. These models rely on differential equations to maintain mass balance within the system, ensuring an accurate representation of the dynamic processes at play.
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The link model is a fundamental pharmacokinetic-pharmacodynamic (PK–PD) approach to account for delayed drug responses when the observed effect does not immediately correlate with the drug's plasma concentration peak. This delay is mathematically addressed by introducing an effect compartment concentration, Ce, which is kinetically linked to the plasma concentration, Cp, via a first-order rate constant, ke0. The linkage allows for a more accurate prediction of drug effects over time. A...
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