Erik Engelhardt

Mr. Erik Engelhardt


Research Focus & Metrics

Academic Career Length

5Years (2022-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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28 January 2022 in Sensors
Verified
Journal Article
Open access
PDF file
EEEric Elzenheimer
Eric Elzenheimer
CBChristin Bald
Christin Bald
EEErik Engelhardt
Erik Engelhardt
JHJohannes Hoffmann
Johannes Hoffmann
PHPatrick Hayes
Patrick Hayes
Gerhard SchmidtGerhard Schmidt
Gerhard Schmidt
Dedicated research is currently being conducted on novel thin film magnetoelectric (ME) sensor concepts for medical applications. These concepts enable a contactless magnetic signal acquisition in the presence of large interference fields such as the magnetic field of the Earth and are operational at room temperature. As more and more different ME sensor concepts are accessible to medical applications, the need for comparative quality metrics significantly arises. For a medical application, both the specification of the sensor itself and the specification of the readout scheme must be considered. Therefore, from a medical user’s perspective, a system consideration is better suited to specific quantitative measures that consider the sensor readout scheme as well. The corresponding sensor system evaluation should be performed in reproducible measurement conditions (e.g., magnetically, electrically and acoustically shielded environment). Within this contribution, an ME sensor system evaluation scheme will be described and discussed. The quantitative measures will be determined exemplarily for two ME sensors: a resonant ME sensor and an electrically modulated ME sensor. In addition, an application-related signal evaluation scheme will be introduced and exemplified for cardiovascular application. The utilized prototype signal is based on a magnetocardiogram (MCG), which was recorded with a superconducting quantum-interference device. As a potential figure of merit for a quantitative signal assessment, an application specific capacity (ASC) is introduced. In conclusion, this contribution highlights metrics for the quantitative characterization of ME sensor systems and their resulting output signals in biomagnetism. Finally, different ASC values and signal-to-noise ratios (SNRs) could be clearly presented for the resonant ME sensor (SNR: −90 dB, ASC: 9.8×10−7 dB Hz) and also the electrically modulated ME sensor (SNR: −11 dB, ASC: 23 dB Hz), showing that the electrically modulated ME sensor is better suited for a possible MCG application under ideal conditions. The presented approach is transferable to other magnetic sensors and applications.

27 January 2023 in IEEE Sensors Journal
Verified
Journal Article
Closed access
EEEric Elzenheimer
Eric Elzenheimer
PHPatrick Hayes
Patrick Hayes
LTLars Thormählen
Lars Thormählen
EEErik Engelhardt
Erik Engelhardt
AZAdrian Zaman
Adrian Zaman
Gerhard SchmidtGerhard Schmidt
Gerhard Schmidt
In principle, electrode-based bioelectrical signal acquisition can be complemented by biomagnetic sensing and therefore requires a more detailed assessment, especially because of the availability of novel noncryogenic sensor technologies. The current development of thin film magnetoelectric (ME) sensors ensures that the ME technology is becoming a prospective candidate for biomagnetometry. The main obstacle for large-scale usage is the lack of extremely low noise floors at the final sensor system output. This article highlights the current state of ME sensor development based on a magnetocardiography pilot study involving a healthy volunteer in a magnetically shielded chamber. For assessment, an ME prototype ( converse magnetoelectric thin film sensor ) will be applied for the first time. This sensor type ensures a noise amplitude spectral density below 20 pT/√ Hz at 10 Hz by using a sophisticated magnetic layer system. The main aim of this pilot study is to evaluate the applicability of this promising sensor for the detection of a human heart signal and to evaluate the sensor output with competitive optical magnetometry technology. A magnetic equivalent of a human R wave could be successfully detected within a one-minute measurement period with the sensor presented here. Finally, the article will provide an outlook on future ME perspectives and challenges, especially for cardiovascular applications.

16 December 2023 in Bioengineering
Verified
Journal Article
Open access
PDF file
EEErik Engelhardt
Erik Engelhardt
EEEric Elzenheimer
Eric Elzenheimer
JHJohannes Hoffmann
Johannes Hoffmann
CMChristy Meledeth
Christy Meledeth
NFNorbert Frey
Norbert Frey
Gerhard SchmidtGerhard Schmidt
Gerhard Schmidt
Electroanatomical mapping is a method for creating a model of the electrophysiology of the human heart. Medical professionals routinely locate and ablate the site of origin of cardiac arrhythmias with invasive catheterization. Non-invasive localization takes the form of electrocardiographic (ECG) or magnetocardiographic (MCG) imaging, where the goal is to reconstruct the electrical activity of the human heart. Non-invasive alternatives to catheter electroanatomical mapping would reduce patients’ risks and open new venues for treatment planning and prevention. This work introduces a new system state-based method for estimating the electrical activity of the human heart from MCG measurements. Our model enables arbitrary propagation paths and velocities. A Kalman filter optimally estimates the current densities under the given measurements and model parameters. In an outer optimization loop, these model parameters are then optimized via gradient descent. This paper aims to establish the foundation for future research by providing a detailed mathematical explanation of the algorithm. We demonstrate the feasibility of our method through a simplified one-layer simulation. Our results show that the algorithm can learn the propagation paths from the magnetic measurements. A threshold-based segmentation into healthy and pathological tissue yields a DICE score of 0.84, a recall of 0.77, and a precision of 0.93.

28 May 2025 in Sensors
Verified
Journal Article
Open access
PDF file
JHJohannes Hoffmann
Johannes Hoffmann
EEErik Engelhardt
Erik Engelhardt
Moritz BouekeMoritz Boueke
Moritz Boueke
JWJulius Welzel
Julius Welzel
Clint HansenClint Hansen
Clint Hansen
Gerhard SchmidtGerhard Schmidt
Gerhard Schmidt
Step width is an important clinical motor marker for gait stability assessment. While laboratory-based systems can measure it with high accuracy, wearable solutions based on inertial measurement units do not directly provide spatial information such as distances. Therefore, we propose a magnetic estimation approach based on a pair of shank-worn magnetoelectric (ME) sensors. In this pilot study, we estimated the step width of eight healthy participants during treadmill walking and compared it to an optical motion capture (OMC) reference. In a direct comparison with OMC markers attached to the magnetic system, we achieved a high estimation accuracy in terms of the mean absolute error (MAE) for step width (≤1 cm) and step width variability (<0.1 cm). In a more general comparison with heel-mounted markers during the swing phase, the standard deviation of the error (<0.5 cm, measure for precision), the step width variability estimation MAE (0.88) of individual feet were still encouraging, but the accuracy was negatively affected by a constant proxy bias (3.7 and 4.6 cm) due to the different anatomical reference points used in each method. The high accuracy of the system in the first case and the high precision in the second case underline the potential of magnetic motion tracking for gait stability assessment in wearable movement analysis.

16 January 2025 in Sensors
Verified
Journal Article
Open access
PDF file
JHJohannes Hoffmann
Johannes Hoffmann
HWHenrik Wolframm
Henrik Wolframm
EEErik Engelhardt
Erik Engelhardt
Moritz BouekeMoritz Boueke
Moritz Boueke
TSTobias Schmidt
Tobias Schmidt
Gerhard SchmidtGerhard Schmidt
Gerhard Schmidt
Clinical motion analysis plays an important role in the diagnosis and treatment of mobility-limiting diseases. Within this assessment, relative (point-to-point) tracking of extremities could benefit from increased accuracy. Given the limitations of current wearable sensor technology, supplementary spatial data such as distance estimates could provide added value. Therefore, we propose a distributed magnetic tracking system based on early-stage demonstrators of novel magnetoelectric (ME) sensors. The system consists of two body-worn magnetic actuators and four ME sensor arrays (body-worn and fixed). It is enabled by a comprehensive signal processing framework with sensor-specific signal enhancement and a gradient descent-based system calibration. As a pilot study, we evaluated the technical feasibility of the described system for motion tracking in general (Scenario A) and for operation during treadmill walking (Scenario B). At distances of up to 60 cm, we achieved a mean absolute distance error of 0.4 cm during gait experiments. Our results show that the modular system is capable of centimeter-level motion tracking of the lower extremities during treadmill walking and should therefore be investigated for clinical gait parameter assessment.

11 July 2025 in IEEE Access
Verified
Journal Article
Open access
EEErik Engelhardt
Erik Engelhardt
JHJohannes Hoffmann
Johannes Hoffmann
Moritz BouekeMoritz Boueke
Moritz Boueke
LELukas Elsner
Lukas Elsner
MLMarius Leye
Marius Leye
Gerhard SchmidtGerhard Schmidt
Gerhard Schmidt
Existing approaches to non-invasive electroanatomical mapping face a fundamental challenge: accurately representing the continuous propagation velocities crucial for cardiac arrhythmia localization. Current methods either sacrifice precision by using discrete delays or require computationally intensive biophysical models that limit clinical applicability.We investigated interconnected all-pass filter networks as a novel middle ground that enables continuous, differentiable representation of cardiac propagation velocities while maintaining computational tractability. Through systematic analysis of these networks’ fundamental properties and scaling behavior, we demonstrate successful gradient-based optimization of propagation velocities in networks of up to 50 filters and 2D arrangements of 5 × 5 voxels using magnetocardiographic measurements, while identifying critical scaling challenges in more complex geometries. Our experiments establish that reliable convergence requires at least 32-48 magnetic sensors operating below a noise threshold of approximately 7 pT/ √ Hz. Runtime analysis shows linear computational scaling with system size, with GPU implementations achieving up to 50× acceleration over CPU versions, processing a realistic cardiac model with about 30 000 voxels in under 5 s per epoch. These findings establish the theoretical feasibility of all-pass filter networks for cardiac propagation velocity modeling while identifying practical implementation requirements for clinical applications. This approach could reduce patient risks by eliminating invasive catheterization procedures and enable longitudinal studies and research applications not feasible with current invasive methods.