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A new approach to quantitative measurement of breast tumor blood flow, capillary permeability, and interstitial pressure.
Ty O Easley1, Federico S Pineda1, Byol S Kim2, Rina S Foygel-Barber2, Chengyue Wu3, Thomas E Yankeelov4, Xiaobing S Fan1, Deepa S Sheth1, David S Schacht1, Hiro S Abe1, and Gregory S Karczmar1

1Radiology, University of Chicago, Chicago, IL, United States, 2Statistics, University of Chicago, Chicago, IL, United States, 3Biomedical Engineering, University of Texas at Austin, Austin, TX, United States, 4Institute for Computational and Engineering Sciences, Diagnostic Medicine, and Oncology, University of Texas at Austin, Austin, TX, United States

Synopsis

Ultrafast DCE-MRI detects sparse enhancement during the early phase of contrast media uptake [8]. This facilitates reconstruction of arteries and lesions using partial k-space data to obtain even higher temporal resolution. In addition, new approaches to tracking blood vessels in breast [10] identify arteries feeding suspicious lesions and possibly also draining veins. As a result, tumor blood flow can be accurately measured from propagation of the contrast media bolus along arteries that supply tumors. This approach avoids assumptions and artifacts that are inherent in pharmacokinetic analysis, and facilitates measurement of important biomarkers, e.g. capillary permeability and interstitial pressure.

INTRODUCTION

Measurements of tumor blood flow based on pharmacokinetic analysis of contrast media kinetics depends on compartmental models for tissue [1, 2]. These models do not match the true breast tissue structure [3, 4], and this can cause significant errors in data analysis. Here we identify arteries feeding the lesion, track the speed of propagation of the bolus down each artery, and measure arterial diameter to measure blood flow to the tumor. We use ultrafast data acquisition [3, 5-8] and partial k-space reconstruction to obtain bilateral images of enhancing arteries and lesions with high temporal resolution. This method, combined with pharmacokinetic measurements [9] of Ktrans (volume transfer coefficient) may allow measurement of tumor permeability. In addition, tumor interstitial pressure can be evaluated from the speed of bolus propagation [10, 11]. These are two important biomarkers that cannot be measured by conventional pharmacokinetic measurements alone. This method was tested using simulations based on breast models constructed from actual ultrafast DCE-MRI (dynamic contrast enhanced MRI) data.

THEORY AND METHODS

Bilateral breast images ultrafast (3.5 seconds/image) DCE images (contrast agent dose = 0.1 mM/kg) were acquired on a Philips 3T scanner. These images were used to produce a breast model that simulated the Parker AIF [12] propagating along internal mammary arteries and the single artery feeding the cancer with 50 msec resolution. A full k-space dataset was acquired every 3.5 seconds. Each ¼ second section of k-space, calculated from the 50 msec simulation, was used to estimate a bilateral image by optimizing over a regularized temporal smoothing constraint via gradient descent (analogous to [13]).

RESULTS

Image reconstructions using 1/14th of a complete k-space dataset closely matched the ‘gold standard’ fully sampled images simulated with 50 msec temporal resolution. 98% of enhancing voxels had error (difference between gradient descent reconstructions and ‘gold standard’ images) of 2% or less (see Figure 1). Gradient subtraction images (each image subtracted from the subsequent image) reconstructed from 1/14th of k-space (Figure 2), clearly show the single artery feeding the breast cancer, as well as other arteries and the suspicious lesion. Figure 3 shows the time of arrival of the contrast media bolus at each point along each artery (blue = early arrival; red = later arrival). Based on these measurements the speed of propagation of the AIF, i.e. the speed of blood flow, is ~2.2 cm/sec near the lesion. The diameter of the artery feeding the lesion is 1.5 mm and plasma flow (0.55 * blood flow) to the lesion is approximately 1.3 mls per minute. The volume of the lesion, based on enhancement in later post contrast images is ~1.57 grams, so lesion perfusion is ~0.83 mls of plasma per gram of tissue per minute. This is equivalent to an average lesion Ktrans of 0.83 min-1, assuming high permeability, i.e. extraction fraction of 1.0.

CONCLUSION

Ultrafast DCE-MRI facilitates reconstruction of images from partial k-space data is effective because the difference images during initial enhancement are very sparse [7, 8, 14]. The gradient descent [13] method provided accurate reconstructions at ¼ sec temporal resolution (Figures 2 and 3). This was critical for accurate measurement of the speed of blood flow in arteries. Although a full contrast agent dose was used here, a much lower dose could be used for more accurate detection of the bolus [15]. The speed of blood flow and arterial lumen diameter measured from high temporal resolution images were used to determine the rate of blood flow. With real data, capillary permeability would be determined by comparing Ktrans determined from arterial blood flow to the average Ktrans from pharmacokinetic modeling. In the data shown here the single artery feeding the tumor is easily identified. In more complicated cases, the vessel tracking method developed by Wu et al [10] can identify arteries feeding breast cancers, and possibly draining veins. This approach to measurement of tumor blood flow avoids errors due to use of compartmental models [2, 9] that are not a good match for tissue microstructure [2, 16], and errors due to the assumption that all compartments are well mixed [4]. In addition, tumor interstitial pressure can be measured based on speed of blood flow in arteries feeding tumors versus arteries feeding normal tissue [11, 17]. These biomarkers are important indicators of cancer malignancy and response to therapy. Finally, this approach may allow measurement of tumor blood flow with low doses of contrast agent, since bolus propagation can be measured more accurately and with high SNR at very low contrast media concentrations [15].

Acknowledgements

This research is supported by National Institutes of Health (R01 CA172801-01, R01 CA218700-01, and 5U01 CA142565-09, and U01CA174706), and the Segal Foundation.

References

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Figures

Distribution of percentage error in enhancing voxels between reference image and image reconstructed with 1/14 k-space under-sampling. For 98% of the pixels the error is 2% or less.

Reconstructed gradient subtraction images (each image subtracted from the subsequent image) taken at (a) 5.6s, (b) 7.6s, (c) 9.6s, and (d) 18.1s after initial enhancement of the aorta.

Sample phantom image, shown here with time of arrival overlay (in seconds). The lesion is indicated by the black arrow. Times of bolus arrival are used to calculate the speed of blood flow in each artery.

Proc. Intl. Soc. Mag. Reson. Med. 27 (2019)
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