Evidence map›Paper›PMID 41663875›Full record

ArticleMagnetic resonance in medicine2026

Spatiotemporal Encoding With Nonlinear Gradient Hardware Using Pulseq: From Principles to Practical Demonstration.

Andreas Holl, Frank Zijlstra, Maxim Zaitsev, Jakob Hufschmidt, Shadi Tashakori, Nils Schallner, Thomas Stieglitz, Jens Gröbner, Sebastian Littin

Abstract read
In one paragraph

Article in Magnetic resonance in medicine, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

9 authors.

Andreas HollDivision of Medical Physics, Department of Diagnostic and Interventional Radiology, University Medical Center Freiburg, Faculty of Medicine, University of Freiburg, Freiburg, Germany.ORCID 0009-0002-3361-9769
Frank ZijlstraDepartment of Radiology and Nuclear Medicine, St Olav's University Hospital, Trondheim, Norway.ORCID 0000-0002-9184-7666
Maxim ZaitsevDivision of Medical Physics, Department of Diagnostic and Interventional Radiology, University Medical Center Freiburg, Faculty of Medicine, University of Freiburg, Freiburg, Germany.ORCID 0000-0001-7530-1228
Jakob HufschmidtDepartment of Anesthesiology and Critical Care, Medical Center - University of Freiburg, Faculty of Medicine, University of Freiburg, Freiburg, Germany.ORCID 0009-0001-7623-9267
Shadi TashakoriDivision of Medical Physics, Department of Diagnostic and Interventional Radiology, University Medical Center Freiburg, Faculty of Medicine, University of Freiburg, Freiburg, Germany.ORCID 0009-0004-0528-8266
Nils SchallnerDepartment of Anesthesiology and Critical Care, Medical Center - University of Freiburg, Faculty of Medicine, University of Freiburg, Freiburg, Germany.ORCID 0000-0003-2120-788X
Thomas StieglitzLaboratory for Biomedical Microtechnology, Department of Microsystems Engineering-IMTEK & BrainLinks-BrainTools Center, University of Freiburg, Freiburg, Germany.ORCID 0000-0002-7349-4254
Jens GröbnerDepartment of Electrical Engineering & Information Technology, South Westphalia University of Applied Sciences, Lüdenscheid, Germany.ORCID 0000-0002-4214-6652
Sebastian LittinDivision of Medical Physics, Department of Diagnostic and Interventional Radiology, University Medical Center Freiburg, Faculty of Medicine, University of Freiburg, Freiburg, Germany.ORCID 0000-0002-8190-1761

Funding

Carl-Zeiss-Stiftung P2023-03-016
6 · The paper itself

Abstract

purposeProvide the theoretical foundation and the first practical demonstration of spatiotemporal encoding (SPEN) using additional nonlinear gradient hardware.

methodsThe quadratic phase profile can be generated either by a chirped-RF pulse combined with a constant gradient or, directly, by a quadratic gradient pulse. Both a conventional chirped-RF and a novel SPEN method using a custom-built matrix gradient coil for quadratic phase generation were implemented and integrated into a spin-echo echo-planar-imaging (SE-EPI) sequence using Pulseq. The methods were compared through phantom imaging experiments performed on a 3T MRI system.

resultsThe required quadratic phase profile for SPEN was successfully generated using the nonlinear gradient coil, resulting in images of comparable quality. This quadratic gradient-based approach was achieved while exploiting the advantages of SPEN and overcoming current SAR and minimal TE limitations arising from the use of chirped-RF pulses.

conclusionThe generation of the SPEN-defining quadratic phase using nonlinear gradients is an advantageous alternative to conventional methods. This approach enables improved clinical applicability of SPEN, particularly for 3D and high-field MRI, by mitigating critical safety and timing limitations. Additionally, an implementation of the conventional method is provided open-source to support further research.

Indexed as

Echo-Planar ImagingImage EnhancementImage Interpretation, Computer-AssistedMagnetic Resonance ImagingSignal Processing, Computer-AssistedAlgorithmsEquipment DesignEquipment Failure AnalysisHumansNonlinear DynamicsPhantoms, ImagingReproducibility of ResultsSensitivity and SpecificityMRInonlinear gradientPulseqquadratic phasespatiotemporal‐encodingSPEN

Identifiers

PMID41663875
PMCPMC13049265

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.