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The distortions of the free water model for diffusion MRI data when assuming single compartment relaxometry and
Uran Ferizi1, Eva M Müller-Oehring1, Eric T Peterson2
1Department of Psychiatry and Behavioral Sciences, Stanford University School of Medicine, Stanford, CA, United States of America.
Abstract:
Objective.To document the bias of thesimplifiedfree water model of diffusion MRI (dMRI) signal vis-à-vis aspecificmodel which, in addition to diffusion, incorporates compartment-specific proton density (PD), T1 recovery during repetition time (TR), and T2 decay during echo time (TE).Approach.Both models assume that volume fractionfof the total signal in any voxel arises from the free water compartment (fw) such as cerebrospinal fluid or edema, and the remainder (1-f) from hindered water (hw) which is constrained by cellular structures such as white matter (WM). Thespecificandsimplifiedmodels are compared on a synthetic dataset, using a range of PD, T1 and T2 values. We then fit the models to anin vivohealthy brain dMRI dataset. For bothsyntheticandin vivodata we use experimentally feasible TR, TE, signal-to-noise ratio (SNR) and physiologically plausible diffusion profiles.Main results.From the simulations we see that the difference between the estimatedsimplified fandspecific fis largest for mid-range ground-truthf, and it increases as SNR increases. The estimation of volume fractionfis sensitive to the choice of model,simplifiedorspecific, but the estimated diffusion parameters are robust to small perturbations in the simulation.Specific fis more accurate and precise thansimplified f. In the white matter (WM) regions of thein vivoimages,specific fis lower thansimplified f.Significance.In dMRI models for free water, accounting for compartment specific PD, T1 and T2, in addition to diffusion, improves the estimation of model parameters. This extra model specification attenuates the estimation bias of compartmental volume fraction without affecting the estimation of other diffusion parameters.
Insights
A specific diffusion MRI model improves accuracy by including proton density, T1, and T2 parameters. This enhanced model reduces bias in free water fraction estimation compared to simplified models.
Area of Science:
- Diffusion MRI (dMRI) and quantitative imaging.
- Biophysical modeling of biological tissues.
- Medical image analysis and interpretation.
Background:
- Diffusion MRI (dMRI) models often simplify the underlying biophysical processes.
- The simplified free water model assumes uniform proton density (PD), T1, and T2.
- Accurate estimation of tissue microstructural properties is crucial for dMRI applications.
Purpose of the Study:
- To quantify the bias introduced by a simplified free water diffusion MRI model.
- To compare the simplified model against a specific model incorporating compartment-specific PD, T1, and T2.
- To evaluate the impact of model choice on diffusion parameter estimation in synthetic and in vivo data.
Main Methods:
- Development and comparison of a simplified and a specific free water diffusion MRI model.
- Simulation of dMRI data with varying PD, T1, T2, and signal-to-noise ratio (SNR).
- Fitting both models to synthetic data and an in vivo healthy brain dMRI dataset.
Main Results:
- The specific model demonstrated higher accuracy and precision in estimating the free water volume fraction (f).
- Bias in simplified model's f estimation increased with SNR and was most pronounced for mid-range ground-truth f.
- In vivo white matter regions showed lower specific f compared to simplified f estimates.
Conclusions:
- Incorporating compartment-specific PD, T1, and T2 into dMRI models significantly improves parameter estimation.
- The specific model effectively reduces the bias in free water compartmental volume fraction estimation.
- Diffusion parameters remain robust to minor model specification differences, but volume fraction estimation benefits from specificity.
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