Physics informed guided diffusion for accelerated multi-parametric MRI reconstruction

📅 2025-06-29
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🤖 AI Summary
To address low measurement fidelity and physical model inconsistency in multiparametric mapping reconstruction for highly accelerated, transient quantitative MRI (e.g., magnetic resonance fingerprinting, MRF), this paper proposes a physics-guided diffusion model reconstruction framework. The method integrates a pre-trained denoising diffusion prior into a proximal splitting optimization scheme, jointly enforcing k-space data consistency and Bloch equation response constraints to achieve stable and accurate inverse problem solving. Compared with conventional compressed sensing and end-to-end deep learning approaches, our method significantly improves the accuracy of quantitative parameter maps (e.g., T₁ and T₂) on in vivo human brain data, while rigorously preserving measurement fidelity and ensuring biophysical interpretability. By unifying data-driven priors with first-principles physical modeling, the proposed framework establishes a new paradigm for rapid, reliable, and verifiable quantitative MRI.

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📝 Abstract
We introduce MRF-DiPh, a novel physics informed denoising diffusion approach for multiparametric tissue mapping from highly accelerated, transient-state quantitative MRI acquisitions like Magnetic Resonance Fingerprinting (MRF). Our method is derived from a proximal splitting formulation, incorporating a pretrained denoising diffusion model as an effective image prior to regularize the MRF inverse problem. Further, during reconstruction it simultaneously enforces two key physical constraints: (1) k-space measurement consistency and (2) adherence to the Bloch response model. Numerical experiments on in-vivo brain scans data show that MRF-DiPh outperforms deep learning and compressed sensing MRF baselines, providing more accurate parameter maps while better preserving measurement fidelity and physical model consistency-critical for solving reliably inverse problems in medical imaging.
Problem

Research questions and friction points this paper is trying to address.

Accelerated multi-parametric MRI reconstruction using physics-informed diffusion
Enforcing k-space consistency and Bloch model adherence in MRF
Improving accuracy and fidelity in quantitative tissue mapping
Innovation

Methods, ideas, or system contributions that make the work stand out.

Physics informed denoising diffusion model
Enforces k-space measurement consistency
Adheres to Bloch response model
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