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Implicit neural representations for accurate estimation of the Standard Model of white matter

Hendriks, Tom, Arends, Gerrit, Versteeg, Edwin, Vilanova, Anna, Chamberland, Maxime and Tax, Chantal M.W. ORCID: https://orcid.org/0000-0002-7480-8817 2025. Implicit neural representations for accurate estimation of the Standard Model of white matter. Communications Biology 10.1038/s42003-025-09399-5

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Abstract

Diffusion magnetic resonance imaging (dMRI) enables non-invasive investigation of tissue microstructure. The Standard Model (SM) of white matter aims to disentangle dMRI signal contributions from intra- and extra-axonal water compartments. However, due to the model’s high-dimensional nature, accurately estimating its parameters poses a complex problem and remains an active field of research, in which different (machine learning) strategies have been proposed. This work introduces an estimation framework based on implicit neural representations (INRs), which incorporate spatial regularization through the sinusoidal encoding of the input coordinates. The INR method is evaluated on both synthetic and in vivo datasets and compared to existing methods. Results demonstrate superior accuracy of the INR method in estimating SM parameters, particularly in low signal-to-noise conditions. Additionally, spatial upsampling of the INR can represent the underlying dataset anatomically plausibly in a continuous way. The INR is self-supervised, eliminating the need for labeled training data. It achieves fast inference, is robust to noise, supports joint estimation of SM kernel parameters and the fiber orientation distribution function with spherical harmonics orders up to at least 8, and accommodates gradient non-uniformity corrections. The combination of these properties positions INRs as a potentially important tool for analyzing and interpreting diffusion MRI data.

Item Type: Article
Date Type: Published Online
Status: In Press
Schools: Research Institutes & Centres > Cardiff University Brain Research Imaging Centre (CUBRIC)
Schools > Physics and Astronomy
Publisher: Nature Research
ISSN: 2399-3642
Date of First Compliant Deposit: 7 January 2026
Date of Acceptance: 9 December 2025
Last Modified: 07 Jan 2026 11:21
URI: https://orca.cardiff.ac.uk/id/eprint/183644

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