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REVIEW 3 major objections 5 minor 58 references

Portable 90 mT MRI can image tendons, ligaments, cartilage, and bone in vivo within 15 minutes, and measure their T1 relaxation times.

Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →

T0 review · deepseek-v4-flash

2026-08-03 21:19 UTC pith:PG42NPVW

load-bearing objection Solid proof-of-concept for ZTE on a Halbach portable scanner; the in-vivo hard-tissue T1 values are preliminary until the phantom-to-in-vivo field-map transfer is validated. the 3 major comments →

arxiv 2511.15617 v2 pith:PG42NPVW submitted 2025-11-19 physics.med-ph

Qualitative and quantitative hard-tissue MRI with portable Halbach scanners

classification physics.med-ph PACS 87.61.-c
keywords zero echo time MRIPETRAHalbach arrayportable MRIshort T2 tissueT1 mappingmusculoskeletal imaginglow-field MRI
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper argues that zero-echo-time (ZTE) imaging, long considered too hardware-demanding for portable scanners, can be made to work on a compact Halbach-based MRI system operating at 90 mT. It shows that a PETRA sequence, combined with precisely calibrated radio-frequency pulses and model-based reconstruction that accounts for measured B0 and B1 field variations, produces 3D images of knees and ankles in under 15 minutes, revealing hard tissues that remain invisible in conventional spin-echo sequences. It further extends the same framework to quantify the longitudinal relaxation time T1 of these short-T2 tissues in vivo, reporting the first such measurements below 0.1 tesla. The value is practical: if confirmed, a low-cost, portable, non-ionizing scanner could assess musculoskeletal injuries at the point of care, where X-rays or high-field MRI are currently required.

Core claim

The central discovery is that ZTE-like PETRA imaging can be transplanted from clinical high-field platforms to a portable 90 mT Halbach scanner, provided the sequence is adapted to the hardware's long coil ring-down and strong field inhomogeneity. The authors show that a three-part RF pulse (pre-emphasis, main pulse, counter-emphasis) cuts the electronics dead time, and that an extension of a single-point double-shot protocol yields simultaneous B0 and B1 maps of the imaging volume. Feeding these maps into a model-based algebraic reconstruction removes the geometric distortions and banding artifacts that otherwise plague ZTE data in inhomogeneous fields. With this toolkit, the authors obtain

What carries the argument

PETRA (Pointwise Encoding Time Reduction with Radial Acquisition), a ZTE variant that samples the center of k-space pointwise with short RF pulses and the periphery radially; the paper's contribution is a chain of calibrations around it: RF pulse pre/counter-emphasis to suppress ring-down, an extended SPDS (single-point double-shot) SPRITE protocol to map B0 and B1 fields, and a model-based Kaczmarz (ART) reconstruction whose encoding matrix incorporates those field maps. The same PETRA pair with two flip angles (VFA-PETRA) serves as the T1 relaxometry engine, using the steady-state signal ratio and known field maps to solve for T1 voxelwise.

Load-bearing premise

The load-bearing assumption is that the B0 and B1 field maps measured on a homogeneous phantom after the volunteer's knee is removed, using the same shim settings, faithfully represent the field distributions inside the actual knee — no in-vivo validation of this transfer is presented.

What would settle it

Acquire the same PETRA and VFA-PETRA knee data twice: once reconstructed with the phantom-transferred maps, and once with SPDS field maps acquired while the knee is still in place (e.g., using the knee's own signal or a co-registered phantom). If T1 estimates and image artifacts differ substantially, or if the in-situ maps show gradients in regions where the phantom maps are smooth, the central claim is weakened.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • If the approach is correct, portable Halbach scanners could offer a non-ionizing, low-cost alternative to X-rays for evaluating ligaments, tendons, and bone.
  • The in-vivo T1 values reported for short-T2 tissues at 90 mT provide a reference that could anchor future low-field relaxometry work and MR fingerprinting at sub-0.1 T.
  • The model-based reconstruction framework is transferable: any sequence whose encoding is distorted by measured field maps can be rebuilt in the same way.
  • The under-15-minute scan time brings hard-tissue MRI within reach of point-of-care workflows, sports medicine, and home-based monitoring.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Our inference: because the field maps used for the in-vivo reconstructions were measured on a phantom after the knee was removed, the results inherit the untested assumption that the knee's presence does not change the field distributions; a direct test with in-situ maps would settle this.
  • Our inference: the VFA-PETRA T1 retrieval could be extended to T2* or multi-echo ZTE variants, which the authors mention as future work; a natural next test is to see whether the same framework recovers known T1 values of phantoms under edge-of-bore conditions.
  • Our inference: the contrast-enhancement subtractions shown in the paper (flip-angle pairs that highlight ligament, fat, muscle, or cartilage) suggest a vendor-independent 'synthetic contrast' recipe that could be packaged without any quantitative fitting.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

3 major / 5 minor

Summary. This manuscript reports a complete pipeline for zero-echo-time (ZTE) imaging on a portable 90 mT Halbach scanner. The authors implement a PETRA sequence with RF pre/counter-emphasis to shorten the effective dead time, extend a single-point double-shot (SPDS) protocol to obtain B0/B1 maps from a homogeneous phantom, and use model-based ART reconstruction that incorporates these maps into the encoding matrix. A variable-flip-angle (VFA) version of PETRA is then used for T1 mapping. The results show in-vivo knee/ankle images with visible ligaments, tendons, cartilage, and cortical bone, and report T1 values for several soft and hard tissues. The paper claims the first demonstration of ZTE imaging on a Halbach-based portable MRI system and the first in-vivo hard-tissue T1 estimates at B0 < 0.1 T.

Significance. If the quantitative claims are supported, this would be an important advance for portable MRI: it substantially widens the range of pulse sequences and tissue types accessible to low-cost Halbach scanners. The technical contributions — pre/counter-emphasis calibration, SPDS-based simultaneous field mapping, model-based reconstruction, and open-source MaRCoS sequence code — are concrete and reusable. The phantom validation of VFA-PETRA and the benchmark of muscle/fat T1 against RARE/STIR are strong points. However, the headline hard-tissue T1 values depend on an unverified transfer of phantom-acquired B0/B1 maps to in-vivo loading conditions; this needs to be addressed before the quantitative claims can be considered established.

major comments (3)
  1. [III-F; Eq. (8); Eq. (13)] The in-vivo PETRA and VFA-PETRA reconstructions are corrected with B0/B1 maps acquired from a homogeneous CuSO4 phantom that fully occupies the coil, after removing the knee and re-adjusting impedance matching (Sec. III-F). This transfer is assumed without validation. The knee is smaller, lossy, and contains susceptibility discontinuities near bone/tendon/cartilage; these change both B0 and B1 relative to the phantom, and the change is not controlled by keeping the same shim currents. Because Eqs. (12)-(13) insert these maps into the encoding matrix and Eq. (8) inserts them into the T1 model, any mismatch directly biases both the reconstructed images and the T1 values. The phantom validation in Fig. 7 is self-consistent and does not test the in-vivo loading condition. The agreement for muscle/fat T1 with RARE/STIR is encouraging for large soft-tissue ROIs but cannot validate small short-
  2. [V-E; Fig. 12] The hard-tissue T1 values are presented as quantitative results, but no reference standard exists for ligament, tendon, cartilage, or cortical bone at this field, and the only quantitative agreement is for muscle/fat. The ROIs are small, and the Discussion itself notes that the meniscus could not be quantified because of insufficient segmentation accuracy. The Gaussian-fit standard deviations in Fig. 12d reflect spatial heterogeneity and noise, not systematic error from B0/B1 transfer, partial volume, or segmenter choice. To support the 'first in-vivo T1' claim, the paper should report repeatability (e.g., repeated scans), segmenter variability, or an explicit error budget. The hard-tissue values should be labeled as provisional estimates until such an analysis is supplied.
  3. [III-D; III-G] The B0/B1 maps are acquired at 10 mm isotropic resolution and zero-padded/interpolated to the 1.6-2 mm reconstruction grid. This smoothing is likely to miss the local field variations caused by susceptibility interfaces in the knee, which are strongest around exactly the short-T2 tissues the quantitative method targets. The interpolation step in Sec. III-G therefore compounds the phantom-transfer problem. A finer field-map acquisition (or an empirical correction) should be considered, or the resolution-dependence of the T1 estimates should be reported.
minor comments (5)
  1. [Eq. (1)] The scaling relation is dimensionally opaque; please define the units of T_dead, T_acq, N_max, and FoV_max and state whether the formula is exact or heuristic. As written, the third term inside the parentheses appears to have mixed dimensions.
  2. [Fig. 7] The text in Sec. IV-D refers to panel (c) as the uncorrected and (e) as the corrected T1 map, while the caption assigns (c) and (d) to maps; renumber the caption/text to match.
  3. [Disclosures] The disclosure that tissue identification was performed without input from certified radiologists is helpful; it would be better placed in Methods or in the figure captions so that readers of Figs. 8 and 9 are not misled. A review by a radiologist would be even stronger.
  4. [Introduction / References] The claim of 'first proof of ZTE-like PETRA imaging in a Halbach-based MRI system' should be checked against Ref. [28], which already used short-T2 imaging in a low-field permanent-magnet dental scanner. If Ref. [28] is not Halbach-based, the distinction should be stated explicitly.
  5. [Various] Minor typographical issues: 'componentes' in the Fig. 1 caption and 'within vivodata' in Sec. II-G should be corrected.

Circularity Check

0 steps flagged

No significant circularity: field maps are independent phantom calibrations and VFA-PETRA T1 estimates are benchmarked against standard methods.

full rationale

The derivation chain is self-contained. The B0 and B1 maps are obtained from an independent SPDS acquisition on a homogeneous CuSO4 phantom whose T1 was measured independently by inversion recovery (T1 = 12.5 ms). These maps enter the VFA-PETRA model (Eq. 8) as known inputs, with T1 as the only unknown; the phantom-based validation of VFA-PETRA uses the same phantom but is a consistency check, not a construction of the result. The model-based reconstruction (Eqs. 11-13) incorporates the same field maps but does not fit or predefine T1, so no fitted parameter is renamed as a prediction. The VFA-PETRA muscle and fat T1 values are cross-checked against standard RARE/STIR maps, providing an external benchmark. The self-citation to Ref. [30] supplies the SPDS protocol, but the paper re-derives the extension in Sec. II-F and validates it in Figs. 5 and 7, so the central feasibility claim does not reduce to that citation. The phantom-to-in-vivo transfer of field maps is an untested assumption that could bias quantitative T1 values, but that is an external-validity or accuracy risk, not circularity by construction. No equation in the paper reduces a claimed prediction to its own input.

Axiom & Free-Parameter Ledger

5 free parameters · 4 axioms · 0 invented entities

The paper introduces no new physical entities. The free parameters are mostly calibration knobs (pre-emphasis, dead time, shimming) and the fitted B1 map. The most consequential assumption is that phantom-derived field maps apply to in-vivo anatomy; this is ad hoc to the paper and not validated.

free parameters (5)
  • Pre/counter-emphasis RF amplitudes and durations = V_RF0/V_RF1/V_RF2 = 1/0.25/1 a.u., t_RF0/t_RF1/t_RF2 = 4/50/3 µs (imaging) or 3/25/3 µs (shimming)
    Chosen by hand to minimize RF ring-down; these values affect dead time and excitation bandwidth.
  • Dead time Tdead = 175 µs (knee) to 300 µs (ankle)
    Adjusted empirically to balance ring-down artifacts against signal loss; not derived from first principles.
  • Active shimming currents = Unspecified (linewidth reduced to 88 ppm)
    Chosen to narrow the NMR line; exact currents not reported, so the procedure is not reproducible.
  • B1 scaling map η(r) = Voxelwise values estimated via Nelder-Mead minimization of Eq. (5)
    Fitted to phantom SPRITE data; used as prior knowledge in reconstruction and T1 fitting.
  • Nominal flip angles α_i,nom = e.g., 10° and 40° for VFA-PETRA
    Calibrated from Rabi flops; subject to B1 inhomogeneity, requiring the η map correction.
axioms (4)
  • domain assumption PETRA gradients act as effective spoilers, establishing an incoherent steady state across all tissues (Eq. 7).
    The VFA-PETRA T1 model assumes transverse magnetization is fully spoiled before each repetition; this is plausible with constant gradients but not explicitly verified for all short-T2 tissues.
  • ad hoc to paper B0 and B1 field maps measured with a homogeneous CuSO4 phantom are representative of the in-vivo knee/ankle configuration when the same shimming settings are used.
    The paper uses phantom-acquired field maps to correct in-vivo data (Sec. III-F) without validating that the field distributions are unchanged by the subject's susceptibility and loading.
  • domain assumption The signal observed in PETRA images of the knee/ankle corresponds to the labeled short-T2 tissues (ligaments, tendons, cartilage, bone).
    Tissue identification was performed by the authors without certified radiological input, and the Disclosures section explicitly states some structures may be incorrectly associated.
  • standard math Standard FFT, Kaczmarz/ART, and steady-state Bloch equations provide valid image reconstruction and T1 fitting tools.
    These are established mathematical methods; no novel mathematical claims are made.

pith-pipeline@v1.3.0-alltime-deepseek · 23595 in / 10977 out tokens · 109704 ms · 2026-08-03T21:19:10.789717+00:00 · methodology

0 comments
read the original abstract

Purpose: To demonstrate the feasibility of performing in-vivo imaging and quantitative relaxation mapping of soft and hard tissues using a low-cost, portable MRI scanner, and to establish the methodological foundations for zero echo time (ZTE) imaging in systems affected by strong field inhomogeneities. Methods: A complete framework for artifact-free ZTE imaging at low field was developed, including: (i) RF pulse pre/counteremphasis calibration to minimize ring-down and electronics switching time; (ii) an extension of a recent single-point double-shot (SPDS) protocol for simultaneous B0 and B1 mapping; and (iii) a model-based reconstruction incorporating these field maps into the encoding matrix. ZTE imaging and variable flip angle (VFA) T1 mapping were performed on phantoms and in-vivo human knees and ankles, and benchmarked against standard RARE and STIR acquisitions. Results: The optimized PETRA sequence produced 3D images of knees and ankles within clinically compatible times (< 15 min), revealing hard tissues such as ligaments, tendons, cartilage, and bone that are invisible in spin-echo sequences. The extended SPDS method enabled accurate field mapping, while the VFA approach provided the first in-vivo T1 measurements of hard tissues at B0 < 0.1 T. Conclusions: The proposed framework broadens the range of pulse sequences feasible in portable low-field MRI and demonstrates the potential of ZTE for quantitative and structural imaging of musculoskeletal tissues in affordable Halbach-based systems.

Figures

Figures reproduced from arXiv: 2511.15617 by Alba Gonz\'alez-Cebri\'an, Eduardo Pall\'as, Elisa Casta\~n\'on, Fernando Galve, Jes\'us Conejero, Joseba Alonso, Jose Borreguero, Jose Miguel Algar\'in, Laia Porcar, Lorena Vega Cid, Lucas Swistunow, Luiz G. C. Santos, Marina Fern\'andez-Garc\'ia, Pablo Benlloch, Pablo Garc\'ia-Crist\'obal, Rub\'en Bosch, Teresa Guallart-Naval.

Figure 1
Figure 1. Figure 1: The scanner used for the experiments here presented. a) Elliptical Halbach [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Temporal trace of the 𝐵1 (𝑡) field generated by the RF coil after triggering the RFPA with a pulse (a) without and (b) with pre- and counter-emphasis. (c) FFTs of the 𝐵1 (𝑡) field envelopes detected by the pickup coil in both cases [PITH_FULL_IMAGE:figures/full_fig_p008_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Calibration of the NMR signal with the RF coil loaded by a knee for PETRA optimization in Halbach systems. (a) Rabi flop acquired from the repeated [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Evaluation of reconstruction quality of a reticulated phantom encoded [PITH_FULL_IMAGE:figures/full_fig_p008_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Evaluation of 𝐵0 ( ®𝑟 ) and 𝐵1 ( ®𝑟 ) mapping protocols and comparison between agnostic and model-based reconstruction methods. (a) Different slices along the 𝑧-direction of the Δ𝐵0 ( ®𝑟 ) map. (b) Corresponding slices showing the 𝐵1 efficiency map 𝜂( ®𝑟 ). (c) Same slices reconstructed with ART without PK of the fields (Eq. (11) with Δ𝐵0 ( ®𝑟𝑗 ) = 0 and 𝜖 ( ®𝑟𝑗 ) = 1) from a grid phantom encoded with PETR… view at source ↗
Figure 6
Figure 6. Figure 6: Quantitative 𝑇1 and 𝑇2 maps obtained using gold-standard methods. (a) Single slice containing the posterior cruciate ligament from a series of nine RARE images acquired at varying echo times (TE). (b) Same slice from a series of fourteen STIR images acquired at varying inversion times (TI). (c) 𝑇2 map computed from the data in (a). (d) 𝑇1 map computed from the data in (b). Figure 11c corresponds to 𝛼2−𝛼1 =… view at source ↗
Figure 7
Figure 7. Figure 7: Validation of VFA-PETRA 𝑇1 mapping on a homogeneous phantom. (a) ART reconstructions with 𝐵0 PK of nine PETRA sequences acquired with different nominal FAs. (b) Ratio maps 𝜆𝑖 ( ®𝑟 ) computed using 𝜌1 as the baseline for the lowest-FA image. (c) 𝑇1 maps obtained by fitting Eq. (8) without PK of 𝐵0 or 𝐵1. (d) 𝑇1 maps obtained from the same data when including 𝐵0 and 𝐵1 PK in the fitting model. (e) Histograms… view at source ↗
Figure 8
Figure 8. Figure 8: Axial, coronal, and sagittal slices reconstructed from PETRA acquisitions of the knee (top) and ankle (bottom) of a volunteer. In the knee, identifiable [PITH_FULL_IMAGE:figures/full_fig_p010_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Qualitative comparison of the same slice of a healthy subject’s knee (top) [PITH_FULL_IMAGE:figures/full_fig_p011_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: Reconstructions and SNR maps of the same [PITH_FULL_IMAGE:figures/full_fig_p011_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: Slices from four 3D datasets generated by subtraction of PETRA images [PITH_FULL_IMAGE:figures/full_fig_p011_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: In vivo 𝑇1 mapping of a healthy volunteer’s knee using VFA-PETRA. (a) Selected slices for 𝑇1 analysis. (b) Segmentation of regions of interest (RoIs) for each tissue type. (c) Resulting 𝑇1 maps for the same slices. (d) 𝑇1 distribution within each segmented RoI and corresponding Gaussian fits for mean 𝑇1 estimation. also amplifies the effects of 𝐵0 and 𝐵1 fluctuations, which in turn demand accurate field m… view at source ↗

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Works this paper leans on

58 extracted references · 14 canonical work pages

  1. [1]

    Low-Cost High-Performance MRI,

    M. Sarracanie, C. D. LaPierre, N. Salameh, D. E. J. Waddington, T. Witzel, and M. S. Rosen, “Low-Cost High-Performance MRI,” Scientific Reports, vol. 5, no. 1, p. 15177, dec 2015. [Online]. Available: http://www.nature.com/articles/srep15177

  2. [2]

    Accessible magnetic resonance imaging: A review,

    S. Geethanath and J. T. Vaughan, “Accessible magnetic resonance imaging: A review,”Journal of Magnetic Resonance Imaging, vol. 49, 01 2019

  3. [3]

    On-site construction of a point-of-care low-field MRI system in Africa,

    J. Obungoloch, I. Muhumuza, W. Teeuwisse, J. Harper, I. Etoku, R. Asiimwe, P. Tusiime, G. Gombya, C. Mugume, M. H. Namutebi, M. A. Nassejje, M. Nayebare, J. M. Kavuma, B. Bukyana, F. Natukunda, P. Ninsiima, A. Muwanguzi, P. Omadi, M. van Gijzen, S. J. Schiff, A. Webb, and T. O’Reilly, “On-site construction of a point-of-care low-field MRI system in Africa...

  4. [4]

    Low-cost and portable MRI,

    L. L. Wald, P. C. McDaniel, T. Witzel, J. P. Stockmann, and C. Z. Cooley, “Low-cost and portable MRI,”Journal of Magnetic Resonance Imaging, vol. 52, no. 3, pp. 686–696, 2020. [Online]. Available: https://onlinelibrary.wiley.com/doi/abs/10.1002/jmri.26942

  5. [5]

    Portable magnetic resonance imaging of patients indoors, outdoors and at home,

    T. Guallart-Naval, J. Algarin, R. Pellicer-Guridi, F. Galve, Y. Vives- Gilabert, R. Bosch, E. Pallas, J. M. Gonzalez, J. Rigla, P. Martinez, F. J. Lloris, J. Borreguero Morata, A. Marcos-Perucho, V. Negnevitsky, L. Marti-Bonmati, A. Rios, J. Benlloch, and J. Alonso, “Portable magnetic resonance imaging of patients indoors, outdoors and at home,”Scientific...

  6. [6]

    Tackling SNR at low-field: a review of hardware approaches for point-of-care systems,

    A. Webb and T. O’Reilly, “Tackling SNR at low-field: a review of hardware approaches for point-of-care systems,”Magnetic Resonance Materials in Physics, Biology and Medicine, vol. 36, 05 2023

  7. [7]

    Deconstructing and reconstructing MRI hardware,

    T. O’Reilly and A. Webb, “Deconstructing and reconstructing MRI hardware,”Journal of Magnetic Resonance, vol. 306, pp. 134–138,

  8. [8]

    MRI at low field: A review of software solutions for improving SNR,

    R. Ayde, M. Vornehm, Y. Zhao, F. Knoll, E. X. Wu, and M. Sarracanie, “MRI at low field: A review of software solutions for improving SNR,”NMR in Biomedicine, vol. 38, no. 1, p. e5268, 2025. [Online]. Available: https://analyticalsciencejournals.onlinelibrary.wiley.com/doi/ abs/10.1002/nbm.5268

  9. [9]

    Design of permanent multipole magnets with oriented rare earth cobalt material,

    K. Halbach, “Design of permanent multipole magnets with oriented rare earth cobalt material,”Nuclear Instruments and Methods, vol. 169, no. 1, pp. 1–10, 1980

  10. [10]

    In vivo 3D brain and extremity MRI at 50 mT using a permanent magnet Halbach array,

    T. O’Reilly, W. M. Teeuwisse, D. Gans, K. Koolstra, and A. G. Webb, “In vivo 3D brain and extremity MRI at 50 mT using a permanent magnet Halbach array,”Magnetic Resonance in Medicine, p. mrm.28396, jul 2020

  11. [11]

    A portable scanner for magnetic resonance imaging of the brain,

    C. Z. Cooley, P. C. McDaniel, J. P. Stockmann, S. A. Srinivas, S. F. Cauley, M. ´Sliwiak, C. R. Sappo, C. F. Vaughn, B. Guerin, M. S. Rosen, M. H. Lev, and L. L. Wald, “A portable scanner for magnetic resonance imaging of the brain,”Nature Biomedical Engineering 2020 5:3, vol. 5, no. 3, pp. 229–239, nov 2020

  12. [12]

    Elliptical Halbach magnet and gradient modules for low-field portable magnetic resonance imaging,

    F. Galve, E. Pall ´as, T. Guallart-Naval, P. Garc ´ıa-Crist´obal, P. Mart´ınez, J. M. Algar ´ın, J. Borreguero, R. Bosch, F. Juan-Lloris, J. M. Benlloch, and J. Alonso, “Elliptical Halbach magnet and gradient modules for low-field portable magnetic resonance imaging,”NMR in Biomedicine, p. e5258, 2024. [Online]. Available: https://analyticalsciencejournal...

  13. [13]

    Development of a small car-mounted magnetic resonance imaging system for human elbows using a 0.2 T permanent magnet,

    M. Nakagomi, M. Kajiwara, J. Matsuzaki, K. Tanabe, S. Hoshiai, Y. Okamoto, and Y. Terada, “Development of a small car-mounted magnetic resonance imaging system for human elbows using a 0.2 T permanent magnet,”Journal of Magnetic Resonance, vol. 304, pp. 1–6, jul 2019

  14. [14]

    De- velopment of a Car-mounted Mobile MR Imaging System for Diagnosis of Sports-related Wrist Injury,

    T. Miyasaka, M. Kajiwara, A. Kawasaki, Y. Okamoto, and Y. Terada, “De- velopment of a Car-mounted Mobile MR Imaging System for Diagnosis of Sports-related Wrist Injury,”Magnetic Resonance in Medical Sciences, vol. 22, 04 2022

  15. [15]

    Portable MRI for Major Sporting Events – a Case Study on the MotoGP World Championship,

    J. M. Algar ´ın, T. Guallart-Naval, E. G. Orqu´ın, R. Bosch, F. Juan-Lloris, E. Pall ´as, J. P. Rigla, P. Mart ´ınez, J. Borreguero, R. Alamar, L. Mart ´ı- Bonmat´ı, J. M. Benlloch, F. Galve, and J. Alonso, “Portable MRI for Major Sporting Events – a Case Study on the MotoGP World Championship,” Portable MRI Journal, February 2024. [Online]. Available: ht...

  16. [16]

    Spin Echoes,

    E. L. Hahn, “Spin Echoes,”Phys. Rev., vol. 80, pp. 580–594, Nov 1950. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRev.80.580

  17. [17]

    Effects of diffusion on free precession in nuclear magnetic resonance experiments,

    H. Y. Carr and E. M. Purcell, “Effects of diffusion on free precession in nuclear magnetic resonance experiments,”Physical Review, vol. 94, no. 3, pp. 630–638, 1954

  18. [18]

    Magnetic Resonance Imaging of Hard Tissues and Hard Tissue Engineered Bio-substitutes,

    S. Mastrogiacomo, W. Dou, J. A. Jansen, and X. F. Walboomers, “Magnetic Resonance Imaging of Hard Tissues and Hard Tissue Engineered Bio-substitutes,”Molecular Imaging and Biology, vol. 21, no. 6, pp. 1003–1019, dec 2019. [Online]. Available: http: //link.springer.com/10.1007/s11307-019-01345-2

  19. [19]

    Quantitative mri for evaluation of musculoskeletal disease: Cartilage and muscle composition, joint inflammation, and biomechanics in osteoarthritis,

    B. Eck, M. Yang, J. Elias, C. Winalski, F. Altahawi, N. Subhas, and X. Li, “Quantitative mri for evaluation of musculoskeletal disease: Cartilage and muscle composition, joint inflammation, and biomechanics in osteoarthritis,”Investigative Radiology, vol. Publish Ahead of Print, 09 2022

  20. [20]

    Magnetic Resonance: An Introduction to Ultrashort TE (UTE) Imaging,

    M. D. Robson, P. D. Gatehouse, M. Bydder, and G. M. Bydder, “Magnetic Resonance: An Introduction to Ultrashort TE (UTE) Imaging,”Journal of Computer Assisted Tomography, vol. 27, no. 6, pp. 825–846, November 2003

  21. [21]

    Ultra-fast imaging using low flip angles and fids,

    D. P. Madio and I. J. Lowe, “Ultra-fast imaging using low flip angles and fids,”Magnetic Resonance in Medicine, vol. 34, no. 4, pp. 525–529, 1995. [Online]. Available: https://onlinelibrary.wiley.com/doi/ abs/10.1002/mrm.1910340407

  22. [22]

    Fast and quiet MRI using a swept radiofrequency,

    D. Idiyatullin, C. Corum, J.-Y. Park, and M. Garwood, “Fast and quiet MRI using a swept radiofrequency,”Journal of Magnetic Resonance, vol. 181, no. 2, pp. 342–349, 2006. [Online]. Available: https://www.sciencedirect.com/science/article/pii/S1090780706001479

  23. [23]

    A clinically-recommended MR whole 15 lung imaging protocol using free-breathing 3D isotropic zero echo time sequence,

    Q. Lin, C. Cheng, Y. Bao, W. V. Liu, L. Zhang, Z. Cai, Q. Wan, C. Sun, X. Li, and Y. Deng, “A clinically-recommended MR whole 15 lung imaging protocol using free-breathing 3D isotropic zero echo time sequence,”Heliyon, vol. 10, no. 13, p. e34098, 2024. [Online]. Available: https://www.sciencedirect.com/science/article/pii/S2405844024101296

  24. [24]

    Articular cartilage assessment using ultrashort echo time mri: A review,

    A. M. Afsahi, S. Sedaghat, D. Moazamian, G. Afsahi, J. S. Athertya, H. Jang, and Y.-J. Ma, “Articular cartilage assessment using ultrashort echo time mri: A review,”Frontiers in Endocrinology, vol. Volume 13 - 2022, 2022. [Online]. Available: https://www.frontiersin.org/journals/ endocrinology/articles/10.3389/fendo.2022.892961

  25. [25]

    Tendon evaluation with ultrashort echo time (ute) mri: a systematic review,

    B. S. Malhi, H. Jang, M. S. Malhi, D. B. Berry, and S. Jerban, “Tendon evaluation with ultrashort echo time (ute) mri: a systematic review,”Frontiers in Musculoskeletal Disorders, vol. Volume 2 - 2024, 2024. [Online]. Available: https://www.frontiersin.org/journals/ musculoskeletal-disorders/articles/10.3389/fmscd.2024.1324050

  26. [26]

    High-resolution ZTE imaging of human teeth,

    M. Weiger, K. P. Pruessmann, A.-K. Bracher, S. K ¨ohler, V. Lehmann, U. Wolfram, F. Hennel, and V. Rasche, “High-resolution ZTE imaging of human teeth,”NMR in Biomedicine, vol. 25, no. 10, pp. 1144–1151, oct

  27. [27]

    Dental magnetic resonance imaging: making the invisible visible,

    D. Idiyatullin, C. Corum, S. Moeller, H. S. Prasad, M. Garwood, and D. R. Nixdorf, “Dental magnetic resonance imaging: making the invisible visible,”Journal of endodontics, vol. 37, no. 6, pp. 745–752, 2011

  28. [28]

    Simultaneous imaging of hard and soft biological tissues in a low-field dental MRI scanner,

    J. M. Algar ´ın, E. D´ıaz-Caballero, J. Borreguero, F. Galve, D. Grau-Ruiz, J. P. Rigla, R. Bosch, J. M. Gonz´alez, E. Pall´as, M. Corber´an, C. Gramage, S. Aja-Fern´andez, A. R´ıos, J. M. Benlloch, and J. Alonso, “Simultaneous imaging of hard and soft biological tissues in a low-field dental MRI scanner,”Scientific Reports, vol. 10, no. 1, p. 21470, 2020...

  29. [29]

    Ultrashort echo time imaging using pointwise encoding time reduction with radial acquisition (PETRA),

    D. M. Grodzki, P. M. Jakob, and B. Heismann, “Ultrashort echo time imaging using pointwise encoding time reduction with radial acquisition (PETRA),”Magnetic Resonance in Medicine, vol. 67, no. 2, pp. 510–518, feb 2012

  30. [30]

    Zero-echo-time sequences in highly inhomogeneous fields,

    J. Borreguero, F. Galve, J. M. Algar ´ın, and J. Alonso, “Zero-echo-time sequences in highly inhomogeneous fields,”Magnetic Resonance in Medicine, vol. 93, no. 3, pp. 1190–1204, 2025. [Online]. Available: https://onlinelibrary.wiley.com/doi/abs/10.1002/mrm.30352

  31. [31]

    MRI with zero echo time: Hard versus sweep pulse excitation,

    M. Weiger, K. P. Pruessmann, and F. Hennel, “MRI with zero echo time: Hard versus sweep pulse excitation,”Magnetic Resonance in Medicine, vol. 66, no. 2, pp. 379–389, aug 2011. [Online]. Available: http://doi.wiley.com/10.1002/mrm.22799

  32. [32]

    A review of normal tissue hydrogen NMR relaxation times and relaxation mechanisms from 1–100 MHz: Dependence on tissue type, NMR frequency, temperature, species, excision, and age,

    P. A. Bottomley, T. H. Foster, R. E. Argersinger, and L. M. Pfeifer, “A review of normal tissue hydrogen NMR relaxation times and relaxation mechanisms from 1–100 MHz: Dependence on tissue type, NMR frequency, temperature, species, excision, and age,”Medical Physics, vol. 11, no. 4, pp. 425–448, 1984. [Online]. Available: https://aapm.onlinelibrary.wiley....

  33. [33]

    Magnetic field dependence of proton spin-lattice relaxation times,

    J.-P. Korb and R. G. Bryant, “Magnetic field dependence of proton spin-lattice relaxation times,”Magnetic Resonance in Medicine, vol. 48, no. 1, pp. 21–26, 2002. [Online]. Available: https: //onlinelibrary.wiley.com/doi/abs/10.1002/mrm.10185

  34. [34]

    Magnetic field and tissue dependencies of human brain longitudinal 1H2O relaxation in vivo,

    W. D. Rooney, G. Johnson, X. Li, E. R. Cohen, S.-G. Kim, K. Ugurbil, and C. S. Springer Jr., “Magnetic field and tissue dependencies of human brain longitudinal 1H2O relaxation in vivo,”Magnetic Resonance in Medicine, vol. 57, no. 2, pp. 308–318, 2007. [Online]. Available: https://onlinelibrary.wiley.com/doi/abs/10.1002/mrm.21122

  35. [35]

    In vivo𝑇 1 and𝑇 2 relaxation time maps of brain tissue, skeletal muscle, and lipid measured in healthy volunteers at 50 mT,

    T. O’Reilly and A. G. Webb, “In vivo𝑇 1 and𝑇 2 relaxation time maps of brain tissue, skeletal muscle, and lipid measured in healthy volunteers at 50 mT,”Magnetic Resonance in Medicine, vol. 87, no. 2, pp. 884–895, feb 2021

  36. [36]

    M. Sarracanie, “Fast Quantitative Low-Field Magnetic Resonance Imag- ing With OPTIMUM - Optimized Magnetic Resonance Fingerprinting Using a Stationary Steady-State Cartesian Approach and Accelerated Acquisition Schedules,”Investigative Radiology, 2021

  37. [37]

    Magnetic resonance fingerprinting,

    D. Ma, V. Gulani, N. Seiberlich, K. Liu, J. L. Sunshine, J. L. Duerk, and M. A. Griswold, “Magnetic resonance fingerprinting,”Nature, vol. 495, no. 7440, pp. 187–192, Mar. 2013

  38. [38]

    Rapid calculation of T1 using variable flip angle gradient refocused imaging,

    E. K. Fram, R. J. Herfkens, G. Johnson, G. H. Glover, J. P. Karis, A. Shimakawa, T. G. Perkins, and N. J. Pelc, “Rapid calculation of T1 using variable flip angle gradient refocused imaging,”Magnetic Resonance Imaging, vol. 5, no. 3, pp. 201–208, 1987. [Online]. Available: https://www.sciencedirect.com/science/article/pii/0730725X8790021X

  39. [39]

    A new look at the method of variable nutation angle for the measurement of spin-lattice relaxation times using fourier transform NMR,

    R. K. Gupta, “A new look at the method of variable nutation angle for the measurement of spin-lattice relaxation times using fourier transform NMR,”Journal of Magnetic Resonance (1969), vol. 25, no. 1, pp. 231–235, 1977. [Online]. Available: https: //www.sciencedirect.com/science/article/pii/002223647790138X

  40. [40]

    Variable flip angle 3D ultrashort echo time (UTE) T1 mapping of mouse lung: A repeatability assessment,

    D. F. Alamidi, A. Smailagic, A. W. Bidar, N. S. Parker, M. Olsson, P. D. Hockings, K. M. Lagerstrand, and L. E. Olsson, “Variable flip angle 3D ultrashort echo time (UTE) T1 mapping of mouse lung: A repeatability assessment,”Journal of Magnetic Resonance Imaging, vol. 48, no. 3, pp. 846–852, 2018. [Online]. Available: https://onlinelibrary.wiley.com/doi/a...

  41. [41]

    Silent T1 mapping using the variable flip angle method with B1 correction,

    E. Ljungberg, T. Wood, A. B. Solana, S. Kolind, S. C. R. Williams, F. Wiesinger, and G. J. Barker, “Silent T1 mapping using the variable flip angle method with B1 correction,”Magnetic Resonance in Medicine, vol. 84, no. 2, pp. 813–824, 2020. [Online]. Available: https://onlinelibrary.wiley.com/doi/abs/10.1002/mrm.28178

  42. [42]

    T1 Mapping using variable flip angle SPGR data with flip angle correction,

    G. Liberman, Y. Louzoun, and D. Ben Bashat, “T1 Mapping using variable flip angle SPGR data with flip angle correction,”Journal of Magnetic Resonance Imaging, vol. 40, no. 1, pp. 171–180, 2014. [Online]. Available: https://onlinelibrary.wiley.com/doi/abs/10.1002/jmri.24373

  43. [43]

    Analysis of the Precision of Variable Flip Angle T1 Mapping with Emphasis on the Noise Propagated from RF Transmit Field Maps,

    Y. Lee, M. Callaghan, and Z. Nagy, “Analysis of the Precision of Variable Flip Angle T1 Mapping with Emphasis on the Noise Propagated from RF Transmit Field Maps,”Frontiers in Neuroscience, vol. 11, 03 2017

  44. [44]

    B1-corrected breast T1 mapping at ultralow field,

    S. Shen, N. Koonjoo, S. E. Ogier, T. Boele, M. A. Saksena, K. E. Keenan, and M. S. Rosen, “B1-corrected breast T1 mapping at ultralow field,”Magnetic Resonance in Medicine, vol. 94, no. 5, pp. 1900–1912, 2025. [Online]. Available: https: //onlinelibrary.wiley.com/doi/abs/10.1002/mrm.30602

  45. [45]

    Characterizing the Human Body as a Monopole Antenna,

    B. Kibret, A. K. Teshome, and D. T. H. Lai, “Characterizing the Human Body as a Monopole Antenna,”IEEE Transactions on Antennas and Propagation, vol. 63, no. 10, pp. 4384–4392, 2015

  46. [46]

    Electromagnetic noise character- ization and suppression in low-field mri systems,

    T. Guallart-Naval and J. Alonso, “Electromagnetic noise character- ization and suppression in low-field mri systems,”arXiv preprint arXiv:2507.20413, 2025

  47. [47]

    Benchmarking the performance of a low-cost magnetic resonance control system at multiple sites in the open MaRCoS community,

    T. Guallart-Naval, T. O’Reilly, J. M. Algar´ın, R. Pellicer-Guridi, Y. Vives- Gilabert, L. Craven-Brightman, V. Negnevitsky, B. Menk¨ uc, F. Galve, J. P. Stockmann, A. Webb, and J. Alonso, “Benchmarking the performance of a low-cost magnetic resonance control system at multiple sites in the open MaRCoS community,”NMR in Biomedicine, vol. 36, no. 1, p. e4825,

  48. [48]

    MaRCoS, an open- source electronic control system for low-field MRI,

    V. Negnevitsky, Y. Vives-Gilabert, J. M. Algar ´ın, L. Craven- Brightman, R. Pellicer-Guridi, T. O’Reilly, J. P. Stockmann, A. Webb, J. Alonso, and B. Menk¨ uc, “MaRCoS, an open- source electronic control system for low-field MRI,”Journal of Magnetic Resonance, vol. 350, p. 107424, 2023. [Online]. Available: https://www.sciencedirect.com/science/article/p...

  49. [49]

    MaRGE: A graphical environment for MaRCoS,

    J. M. Algar ´ın, T. Guallart-Naval, J. Borreguero, F. Galve, and J. Alonso, “MaRGE: A graphical environment for MaRCoS,”Journal of Magnetic Resonance, vol. 361, p. 107662, 2024. [Online]. Available: https://www.sciencedirect.com/science/article/pii/S1090780724000466

  50. [50]

    Marcos graphical environment,

    “Marcos graphical environment,” 2025, accessed: 2025-03-03. [Online]. Available: https://github.com/mriLab-i3M/MaRGE

  51. [51]

    Practical method for RF pulse distortion compensation using multiple square pulses for low-field MRI,

    Y. Ha, K. Selvaganesan, B. Wu, K. Hancock, C. Rogers, S. Hossein- nezhadian, and G. Galiana, “Practical method for RF pulse distortion compensation using multiple square pulses for low-field MRI,”PLOS ONE, vol. 17, p. e0273432, 09 2022

  52. [52]

    Single point imaging with radial acquisition and compressed sensing,

    S. Ilbey, P. M. Jungmann, J. Fischer, M. Jung, M. Bock, and A. C. ¨Ozen, “Single point imaging with radial acquisition and compressed sensing,”Magnetic Resonance in Medicine, vol. 87, no. 6, pp. 2685–2696, 2022. [Online]. Available: https://onlinelibrary.wiley.com/ doi/abs/10.1002/mrm.29156

  53. [53]

    Ultrashort echo time (UTE) imaging using gradient pre-equalization and compressed sensing,

    H. T. Fabich, M. Benning, A. J. Sederman, and D. J. Holland, “Ultrashort echo time (UTE) imaging using gradient pre-equalization and compressed sensing,”Journal of Magnetic Resonance, vol. 245, pp. 116–124, 2014. [Online]. Available: https://www.sciencedirect.com/ science/article/pii/S1090780714001840

  54. [54]

    Angen ¨aherte Aufl ¨osung von Systemen linearer Gleichun- gen,

    S. Kaczmarz, “Angen ¨aherte Aufl ¨osung von Systemen linearer Gleichun- gen,”Bulletin International de l’Academie Polonaise des Sciences et des Lettres., vol. 35, pp. 355–357, 1937

  55. [55]

    Nonlocal transform-domain filter for volumetric data denoising and reconstruction,

    M. Maggioni, V. Katkovnik, K. Egiazarian, and A. Foi, “Nonlocal transform-domain filter for volumetric data denoising and reconstruction,” IEEE Transactions on Image Processing, vol. 22, no. 1, pp. 119–133, 2013

  56. [2012]

    Available: http://doi.wiley.com/10.1002/nbm.2783

    [Online]. Available: http://doi.wiley.com/10.1002/nbm.2783

  57. [2019]

    Available: https://www.sciencedirect.com/science/article/ pii/S1090780719301363

    [Online]. Available: https://www.sciencedirect.com/science/article/ pii/S1090780719301363

  58. [2023]

    Available: https://analyticalsciencejournals.onlinelibrary

    [Online]. Available: https://analyticalsciencejournals.onlinelibrary. wiley.com/doi/abs/10.1002/nbm.4825