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Time-Domain Interpretation of PD Control01:07

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Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
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Efficient Delay Correction for Total-Body PET Kinetic Modeling Using Pulse Timing Methods.

Elizabeth J Li1, Benjamin A Spencer2, Jeffrey P Schmall3

  • 1Department of Biomedical Engineering, University of California Davis, Davis, California; lzli@ucdavis.edu.

Journal of Nuclear Medicine : Official Publication, Society of Nuclear Medicine
|December 22, 2021
PubMed
Summary
This summary is machine-generated.

Leading edge (LE) delay correction offers an efficient alternative to joint estimation (JE) for total-body PET imaging. This method accurately corrects for time delays, improving kinetic parameter estimation and parametric imaging quality.

Keywords:
delay correctiondynamic PETinput functiontotal-body PET

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Area of Science:

  • Nuclear medicine
  • Medical imaging
  • Quantitative imaging

Background:

  • Quantitative kinetic modeling in PET relies on accurate input functions.
  • Image-derived input functions (IDIFs) can be affected by time delays between the IDIF and tissue, especially in total-body PET.
  • Standard joint estimation (JE) for delay correction is computationally intensive.

Purpose of the Study:

  • To investigate the efficiency and accuracy of pulse timing methods, specifically leading edge (LE), for estimating and correcting time delays in total-body PET.
  • To compare LE delay correction with JE and no delay correction in simulations and human studies.

Main Methods:

  • Simulation studies evaluated LE and constant fraction discrimination methods under various delay, frame length, and noise conditions.
  • LE (10% threshold) and JE methods were applied to dynamic total-body 18F-FDG PET data from 21 subjects.
  • Kinetic analysis and parametric imaging were performed to compare delay correction methods.

Main Results:

  • Simulations showed LE (10% threshold) provided tolerable bias and SD with 2-s frames across tested noise levels.
  • Pooled ROI analysis demonstrated strong agreement between LE and JE for delay estimation and kinetic parameters (v, K, K1).
  • Parametric images showed improved lesion contrast with LE and JE delay correction compared to no correction or Patlak analysis.

Conclusions:

  • Delay correction is crucial for accurate total-body PET parametric imaging.
  • LE delay correction is an efficient and effective surrogate for JE, significantly reducing computational time.
  • This method enables rapid delay correction for large total-body PET datasets.