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Adaptive Sampling of k-Space in Magnetic Resonance for Rapid Pathology Prediction (2406.04318v1)

Published 6 Jun 2024 in cs.LG, cs.AI, and cs.CV

Abstract: Magnetic Resonance (MR) imaging, despite its proven diagnostic utility, remains an inaccessible imaging modality for disease surveillance at the population level. A major factor rendering MR inaccessible is lengthy scan times. An MR scanner collects measurements associated with the underlying anatomy in the Fourier space, also known as the k-space. Creating a high-fidelity image requires collecting large quantities of such measurements, increasing the scan time. Traditionally to accelerate an MR scan, image reconstruction from under-sampled k-space data is the method of choice. However, recent works show the feasibility of bypassing image reconstruction and directly learning to detect disease directly from a sparser learned subset of the k-space measurements. In this work, we propose Adaptive Sampling for MR (ASMR), a sampling method that learns an adaptive policy to sequentially select k-space samples to optimize for target disease detection. On 6 out of 8 pathology classification tasks spanning the Knee, Brain, and Prostate MR scans, ASMR reaches within 2% of the performance of a fully sampled classifier while using only 8% of the k-space, as well as outperforming prior state-of-the-art work in k-space sampling such as EMRT, LOUPE, and DPS.

Summary

  • The paper introduces ASMR, an RL-based method that achieves near full-scan diagnostic performance by sampling only about 8% of k-space.
  • The technique leverages Proximal Policy Optimization to dynamically select informative k-space samples, yielding AUROC gains of up to 9.82% on Brain and Prostate scans.
  • This adaptive approach reduces scan times and enhances MR imaging accessibility, supporting efficient large-scale disease screening.

Adaptive Sampling of k-Space in Magnetic Resonance for Rapid Pathology Prediction

The paper "Adaptive Sampling of k-Space in Magnetic Resonance for Rapid Pathology Prediction" introduces a novel method called Adaptive Sampling for Magnetic Resonance (ASMR). This method leverages reinforcement learning (RL) to efficiently select k-space samples for magnetic resonance imaging (MRI), optimizing the process for rapid pathology prediction. This approach accommodates the diagnostic utility of MR imaging while addressing the practical issue of lengthy scan times, which impedes its accessibility for large-scale disease screening.

Background and Motivation

Magnetic Resonance (MR) imaging is a pivotal diagnostic tool due to its superior soft-tissue contrast capabilities. However, the extended scan times, which can range up to 40 minutes, are a deterrent to its utility in population-level disease surveillance. The k-space in MR imaging is the Fourier-transformed representation of spatial image data. Acquiring a complete k-space dataset ensures high-fidelity image reconstruction but significantly prolongs the scan duration. Traditional methods accelerate this process by under-sampling the k-space and then reconstructing the image using techniques like compressed sensing and deep learning. However, these methods might compromise diagnostic accuracy as they optimize for image similarity metrics rather than direct diagnostic performance.

Recent studies suggested that bypassing image reconstruction and directly learning to detect pathologies from a sparse subset of k-space measurements is feasible and can maintain diagnostic performance. However, these strategies typically rely on heuristic or non-adaptive sampling patterns, which do not dynamically optimize based on real-time data acquisition.

Methodology

ASMR introduces an RL-based adaptive sampling strategy for k-space, where the policy sequentially selects k-space samples to maximize pathology detection performance. The method effectively transforms k-space sampling into a decision-making problem, employing Proximal Policy Optimization (PPO) to train the policy.

Reinforcement Learning Formulation

The process is modeled as a Markov Decision Process (MDP), with the following components:

  • State: The partially acquired k-space data at each timestep.
  • Action: Selecting the next k-space column to sample.
  • Reward: The log-likelihood of accurately predicting pathologies given the new state of k-space.

At each timestep, the algorithm evaluates the current state (acquired k-space data), selects the next sampling action, and updates the state. This adaptive strategy leverages the sequential nature of k-space sampling, dynamically adjusting the sampling pattern based on already acquired data.

Evaluation

The method was tested on three different datasets (Knee, Brain, and Prostate MR scans) and compared against both traditional heuristic sampling methods and state-of-the-art learned non-adaptive methods (EMRT, LOUPE, DPS). The experiments revealed that ASMR consistently outperformed these baseline methods, achieving near-parity in diagnostic performance with fully-sampled classifiers while using only a fraction (approximately 8%) of the k-space data.

Results

ASMR demonstrated significant improvements in pathology detection:

  • For 6 out of 8 classification tasks, ASMR reached within 2% of the performance of a fully-sampled classifier.
  • ASMR showed absolute gains in AUROC metrics on average of 1.87%, 7.01%, and 9.82% over sequential sampling methods on the Knee, Brain, and Prostate datasets, respectively.
  • Compared to reconstruction-optimized policies, ASMR offered up to 7% improvement on the Brain dataset.

Implications and Future Directions

The findings from this paper highlight the potential of RL in optimizing MR scan efficiency, paving the way for faster and more accessible MR imaging. By directly focusing on diagnostic performance, ASMR circumvents limitations associated with image reconstruction fidelity. This approach can substantially reduce the economic and logistical burdens associated with MR imaging, facilitating its use as a widespread diagnostic tool.

Future developments could involve extending ASMR to multi-coil MR data, which is increasingly common in modern MR scanners. Additionally, moving from slice-level to volume-level pathology prediction or segmentation could further enhance the clinical relevance of the method. Comprehensive clinical trials and validation will be essential to confirm the efficacy and safety of deploying ASMR in real-world settings.

In conclusion, ASMR represents a significant advancement in adaptive k-space sampling for MR imaging, demonstrating how reinforcement learning can be effectively utilized to enhance medical imaging practices. Its implementation could lead to substantial improvements in the speed and accessibility of MR diagnostics, ultimately benefiting public health by enabling large-scale, efficient disease screening and monitoring.

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