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Vastly accelerated linear least-squares fitting with numerical optimization for dual-input delay-compensated
Ramin Jafari1, Shalini Chhabra2, Martin R Prince2
1Meinig School of Biomedical Engineering, Cornell University, Ithaca, New York, USA.
Magnetic Resonance in Medicine
|August 24, 2017
Summary
A new linear least squares (LLS) method significantly speeds up liver perfusion map generation by 160-fold. This efficient dual-input modeling approach provides accurate kinetic parameters for liver perfusion analysis.
Area of Science:
- Medical Imaging
- Biomedical Engineering
- Radiology
Background:
- Liver perfusion imaging is crucial for diagnosing and monitoring liver diseases.
- Conventional methods for generating liver perfusion maps are computationally intensive and time-consuming.
Purpose of the Study:
- To propose an efficient algorithm for dual-input compartment modeling to generate liver perfusion maps.
- To evaluate the accuracy, performance, and computation time of the proposed method compared to conventional techniques.
Main Methods:
- Implemented whole field-of-view linear least squares (LLS) to fit a delay-compensated dual-input single-compartment model.
- Used high temporal resolution (4 frames/sec) contrast-enhanced 3D liver data.
- Compared whole-field LLS with voxel-wise nonlinear least-squares (NLLS) using simulated and experimental data.
Main Results:
- Simulations demonstrated good agreement between LLS and NLLS for various kinetic parameters.
- The whole-field LLS method generated liver perfusion maps approximately 160-fold faster than voxel-wise NLLS.
- Similar perfusion parameters were obtained with both methods.
Conclusions:
- Whole-field LLS offers a considerable speedup for liver perfusion analysis.
- This method enables efficient generation of perfusion maps using dual-input modeling.
- The findings suggest LLS is a viable and faster alternative to NLLS for liver perfusion imaging.

