Artifacts in field free line magnetic particle imaging in the presence of inhomogeneous and nonlinear magnetic fields
-
Hanne Medimagh
, Patrick Weissert
Abstract
Introduction: Magnetic Particle Imaging (MPI) is an emerging medical imaging modality that detects super-paramagnetic particles exploiting their nonlinear magnetization response. Spatial encoding can be realized using a Field Free Line (FFL), which is generated, rotated and translated through the Field of View (FOV) using a combination of magnetic gradient fields and homogeneous excitation fields. When scaling up systems and/or enlarging the FOV in comparison to the scanner bore, ensuring homogeneity and linearity of the magnetic fields becomes challenging. The present contribution describes the first comprehensive, systematic study on the influence of magnetic field imperfections in FFL MPI. Methods: In a simulation study, 14 different FFL scanner setups have been examined. Starting from an ideal scanner using perfect magnetic fields, defined imperfections have been introduced in a range of configurations (nonlinear gradient fields, inhomogeneous excitation fields, or inhomogeneous receive fields, or a combination thereof). In the first part of the study, the voltage induced in the receive channels parallel and perpendicular to the FFL translation have been studied for discrete FFL angles. In the second part, an imaging process has been simulated comparing different image reconstruction approaches. Results: The induced voltage signals demonstrate illustratively the effect of the magnetic field imperfections. In images reconstructed using a Radon-based approach, the magnetic field imperfections lead to pronounced artifacts, especially if a deconvolution using the point spread function is performed. In images reconstructed using a system function based approach, variations in local image quality become visible. Conclusion: For Radon-based image reconstruction in FFL MPI in the presence of inhomogeneous and nonlinear magnetic fields, artifact correction methods will have to be developed. In this regard, a first approach has recently been presented by another group. Further research is required to elucidate the influence of magnetic field imperfections in MPI using a system function based approach.
1 Introduction
Magnetic Particle Imaging (MPI) is an emerging medical imaging modality that detects superparamagnetic particles exploiting their nonlinear magnetization response [1]. Spatial encoding can be realized using a Field Free Line (FFL), which is generated, rotated and translated through the Field of View (FOV) using a combination of magnetic gradient fields and homogeneous excitation fields [2]. This allows for system function based or Radon-based image reconstruction [3]. When scaling up systems [4–8] and/or enlarging the FOV in comparison to the scanner bore [9], ensuring homogeneity and linearity of the magnetic fields becomes challenging. Recently, it has been demonstrated in a study comparing two specific scanner setups that field imperfections may lead to artifacts in FFL imaging using Radon-based image reconstruction [9]. The underlying effect is well-known from other imaging modalities: Because of the field inhomogeneities/nonlinearities, assumptions made in Radon-based image reconstruction [10] are violated, which may lead to image artifacts [11]. The present contribution describes the first comprehensive and systematic study on the influence of magnetic field imperfections in FFL MPI. Preliminary results of the study have been presented in [12].
2 Methods
In a simulation study using proprietary software [13], 14 different FFL scanner setups have been examined using parameters similar to [3]. Starting from an ideal scanner using perfect magnetic fields, defined imperfections have been introduced in a range of configurations:
– Nonlinear gradient fields (using Maxwell coils and coils with a radius of 75 %, 50 % and 25 % thereof),
– Inhomogeneous excitation fields (using Helmholtz coils and coils with a radius of 75 %, 50 % and 25 % thereof),
– Inhomogeneous receive fields (using Helmholtz coils and coils with a radius of 75 %, 50 % and 25 % thereof),
– A combination of nonlinear gradient fields (Maxwell50) and inhomogeneous excitation fields (Helmholtz50).
In the first part of the study, the voltage induced in the receive channels parallel and perpendicular to the FFL translation have been studied for discrete FFL angles. In the second part, an imaging process has been simulated comparing different image reconstruction approaches. Image reconstruction was performed using both a system function based approach and a Radon-based approach, the latter with and without deconvolution using the point spread function (PSF).
3 Results
The induced voltage signals (see Figs. 1 and 2) demonstrate illustratively the effect of the magnetic field imperfections. Compared to the ideal scanner, the voltage peaks occur with deformed peak shapes. Remarkably, a field imperfection may lead to a signal being detectable in the receive channel perpendicular to the FFL movement.

Induced signals (with velocity compensation) for one FFL translation and various FFL angles using the phantom in the inset in the lower left corner, where the white circles represent areas filled with magnetic nanoparticles and the blue arrow indicates the movement of the FFL from its starting position (red) to the turning position (yellow). Upper/lower row: Receive channel parallel/perpendicular to the FFL movement. Left: Perfect scanner. Middle: Scanner with gradient field nonlinearity (Maxwell50). Right: Scanner with excitation field inhomogeneity (Helmholtz50).

Induced signals (without velocity compensation) for one FFL translation and various degrees of receive field inhomogeneity using the phantom of Fig. 1. Left/right: Receive channel parallel/perpendicular to the FFL movement.
Fig. 3 shows the MPI images reconstructed using different techniques. In images reconstructed using a Radon-based approach, the magnetic field imperfections lead to pronounced artifacts, especially if a deconvolution using the point spread function is performed. The artifacts are less prominent in the center than in the rest of the FOV. In images reconstructed using a system function based approach, variations in local image quality become visible.
![Figure 3 MPI images reconstructed using different techniques (concentrations in mol(Fe)/l). In the phantom (see upper right corner), the concentration was 0.1 mol(Fe)/l. Columns: (a) Radon-based reconstruction using PSF deconvolution, (b) Radon-based reconstruction without PSF deconvolution, (c) System function based reconstruction (without non-negativity constraint). Rows: A) Ideal scanner, B) Nonlinear gradient field (Maxwell25), C) Inhomogeneous excitation field (Helmholtz25), D) Inhomogeneous receive field (Helmholtz25), E) Nonlinear gradient field and inhomogeneous Tx field (Maxwell50,Helmholtz50). Note: Some of the images have been published in [12]; they are reproduced here with permission of IEEE.](/document/doi/10.1515/cdbme-2015-0061/asset/graphic/j_cdbme-2015-0061_fig_003.jpg)
MPI images reconstructed using different techniques (concentrations in mol(Fe)/l). In the phantom (see upper right corner), the concentration was 0.1 mol(Fe)/l. Columns: (a) Radon-based reconstruction using PSF deconvolution, (b) Radon-based reconstruction without PSF deconvolution, (c) System function based reconstruction (without non-negativity constraint). Rows: A) Ideal scanner, B) Nonlinear gradient field (Maxwell25), C) Inhomogeneous excitation field (Helmholtz25), D) Inhomogeneous receive field (Helmholtz25), E) Nonlinear gradient field and inhomogeneous Tx field (Maxwell50,Helmholtz50). Note: Some of the images have been published in [12]; they are reproduced here with permission of IEEE.
4 Conclusion
Radon-based image reconstruction in FFL MPI in the presence of inhomogeneous and nonlinear magnetic fields is prone to severe artifacts, therefore artifact correction methods will have to be developed. In this regard, a first approach has recently been presented by Murase et al. [14]. Moreover, a method to predict the extent of artifacts to be expected based on magnetic field properties would be desirable as well.
Further research is required to elucidate the influence of magnetic field imperfections in MPI using a system function based image reconstruction approach. This is subject of ongoing studies.
Funding
The authors gratefully acknowledge the financial support of the German Federal Ministry of Education and Research (BMBF) under grant numbers 13N11090, 13EZ1140A/B and 01EZ0912, of the European Union and the State Schleswig-Holstein (Programme for the Future – Economy) under grant number 122-10-004, of the German Research Foundation (DFG) under grant number BU 1436/7-1 and of the Graduate School for Computing in Medicine and Life Sciences funded by Germany’s Excellence Initiative [DFG GSC 235/2].
Author’s Statement
Conflict of interest: Authors state no conflict of interest. Material and Methods: Informed consent: Informed consent has been obtained from all individuals included in this study. Ethical approval: The research related to human use has been complied with all the relevant national regulations, institutional policies and in accordance the tenets of the Helsinki Declaration, and has been approved by the authors’ institutional review board or equivalent committee.
References
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© 2015 by Walter de Gruyter GmbH, Berlin/Boston
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- Mathematical, numerical and in-vitro investigation of cooling performance of an intra-carotid catheter for selective brain hypothermia
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- An ideally parameterized unscented Kalman filter for the inverse problem of electrocardiography
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- Interactive visualization of cardiac anatomy and atrial excitation for medical diagnosis and research
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- Virtualizing clinical cases of atrial flutter in a fast marching simulation including conduction velocity and ablation scars
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- Mesh structure-independent modeling of patient-specific atrial fiber orientation
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- Accelerating mono-domain cardiac electrophysiology simulations using OpenCL
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- Understanding the cellular mode of action of vernakalant using a computational model: answers and new questions
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- A java based simulator with user interface to simulate ventilated patients
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- Evaluation of an algorithm to choose between competing models of respiratory mechanics
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- Numerical simulation of low-pulsation gerotor pumps for use in the pharmaceutical industry and in biomedicine
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- Numerical and experimental flow analysis in centifluidic systems for rapid allergy screening tests
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- Biomechanical parameter determination of scaffold-free cartilage constructs (SFCCs) with the hyperelastic material models Yeoh, Ogden and Demiray
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- FPGA controlled artificial vascular system
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- Simulation based investigation of source-detector configurations for non-invasive fetal pulse oximetry
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- Test setup for characterizing the efficacy of embolic protection devices
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- Impact of electrode geometry on force generation during functional electrical stimulation
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- 3D-based visual physical activity assessment of children
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- Realtime assessment of foot orientation by Accelerometers and Gyroscopes
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- Image based reconstruction for cystoscopy
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- Image guided surgery innovation with graduate students - a new lecture format
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- Multichannel FES parameterization for controlling foot motion in paretic gait
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- Smartphone supported upper limb prosthesis
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- Use of quantitative tremor evaluation to enhance target selection during deep brain stimulation surgery for essential tremor
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- Evaluation of adhesion promoters for Parylene C on gold metallization
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- The influence of metallic ions from CoCr28Mo6 on the osteogenic differentiation and cytokine release of human osteoblasts
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- Increasing the visibility of thin NITINOL vascular implants
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- Possible reasons for early artificial bone failure in biomechanical tests of ankle arthrodesis systems
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- Development of a bending test procedure for the characterization of flexible ECoG electrode arrays
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- Tubular manipulators: a new concept for intracochlear positioning of an auditory prosthesis
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- Investigation of the dynamic diameter deformation of vascular stents during fatigue testing with radial loading
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- Electrospun vascular grafts with anti-kinking properties
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- Integration of temperature sensors in polyimide-based thin-film electrode arrays
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- Use cases and usability challenges for head-mounted displays in healthcare
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- Device- and service profiles for integrated or systems based on open standards
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- Risk management for medical devices in research projects
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- Simulation of varying femoral attachment sites of medial patellofemoral ligament using a musculoskeletal multi-body model
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- Does enhancing consciousness for strategic planning processes support the effectiveness of problem-based learning concepts in biomedical education?
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- SPIO processing in macrophages for MPI: The breast cancer MPI-SNLB-concept
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- Numerical simulations of airflow in the human pharynx of OSAHS patients