Volume 80, Issue 6 pp. 2525-2537
Full Paper

Prostate DCE-MRI with urn:x-wiley:07403194:media:mrm27232:mrm27232-math-0001 correction using an approximated analytical approach

Xinran Zhong

Corresponding Author

Xinran Zhong

Department of Radiological Sciences, David Geffen School of Medicine, University of California, Los Angeles, California

Physics and Biology in Medicine Graduate Program, David Geffen School of Medicine, University of California, Los Angeles, California

Correspondence Xinran Zhong, Department of Radiological Sciences, David Geffen School of Medicine, 300 UCLA Medical Plaza, Suite B114 Los Angeles, CA 90095. Email: [email protected]Search for more papers by this author
Thomas Martin

Thomas Martin

Department of Radiological Sciences, David Geffen School of Medicine, University of California, Los Angeles, California

Physics and Biology in Medicine Graduate Program, David Geffen School of Medicine, University of California, Los Angeles, California

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Holden H. Wu

Holden H. Wu

Department of Radiological Sciences, David Geffen School of Medicine, University of California, Los Angeles, California

Physics and Biology in Medicine Graduate Program, David Geffen School of Medicine, University of California, Los Angeles, California

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Krishna S. Nayak

Krishna S. Nayak

Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, California

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Kyunghyun Sung

Kyunghyun Sung

Department of Radiological Sciences, David Geffen School of Medicine, University of California, Los Angeles, California

Physics and Biology in Medicine Graduate Program, David Geffen School of Medicine, University of California, Los Angeles, California

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First published: 16 May 2018

Abstract

Purpose

To develop and evaluate a practical urn:x-wiley:07403194:media:mrm27232:mrm27232-math-0003 correction method for prostate dynamic contrast-enhanced (DCE) MRI analysis.

Theory

We proposed a simple analytical urn:x-wiley:07403194:media:mrm27232:mrm27232-math-1003 correction method using a Taylor series approximation to the steady-state spoiled gradient echo signal equation. This approach only requires urn:x-wiley:07403194:media:mrm27232:mrm27232-math-1103 maps and uncorrected pharmacokinetic (PK) parameters as input to estimate the corrected PK parameters.

Methods

The proposed method was evaluated using a prostate digital reference object (DRO), and 82 in vivo prostate DCE-MRI cases. The approximated analytical correction was compared with the ground truth PK parameters in simulation, and compared with the reference numerical correction in in vivo experiments, using percentage error as the metric.

Results

The prostate DRO results showed that our approximated analytical approach provided residual error less than 0.4% for both Ktrans and ve, compared to the ground truth. This noise-free residual error was smaller than the noise-induced error using the reference numerical correction, which had a minimum error of 2.1+4.3% with baseline signal-to-noise ratio of 234.5. For the 82 in vivo cases, Ktrans and ve percentage error compared to the reference numerical correction method had a mean of 0.1% (95% central range of [0.0%, 0.2%]) across the prostate volume.

Conclusion

The approximated analytical urn:x-wiley:07403194:media:mrm27232:mrm27232-math-1203 correction method provides comparable results with less than 0.2% error within 95% central range, compared to reference numerical urn:x-wiley:07403194:media:mrm27232:mrm27232-math-1303 correction. The proposed method is a practical solution for urn:x-wiley:07403194:media:mrm27232:mrm27232-math-1403 correction in prostate DCE-MRI because of its simple implementation.

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