Abstract
Magnetic particle imaging (MPI) is a tomographic imaging technique which determines the spatial distribution of magnetic nanoparticles (MNPs). Multi-contrast MPI provides the ability to detect environmental conditions of MNPs, such as temperature or viscosity. One parameter that has not been investigated but shows high potential for medical diagnosis is the pH value, as it is an indicator of inflamed or tumorous tissue. In this work, we present an approach to resolve the pH value using multi-contrast MPI. Our proof-of-concept is based on a stimuli-responsive, magnetic hydrogel that exhibits reversible swelling in response to a pH change. The pH contrast is generated indirectly via the pH-responsive hydrogel swelling modulating the signal of embedded MNPs. Magnetic particle spectrometry measurements show that the hydrogels’ magnetic response correlates with the pH value, which could provide a new way of contactless pH monitoring. Finally, the feasibility of resolving different pH values in a multi-contrast MPI image is demonstrated.
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Data availability
All the data needed to evaluate the findings in this article are present in the article and/or in the Supplementary Information. Additional data related to this paper can be requested from the corresponding authors via email.
Code availability
The code used to perform the MPS measurements is publicly available on GitHub. You can access the code repository via the following link: https://github.com/MagneticParticleImaging/MPIMeasurements.jl. The code used for multi-contrast image reconstruction can also be accessed via the following link: https://github.com/MagneticParticleImaging/MPIReco.jl. The acquired MPI dataset and detailed reconstruction parameters are available upon reasonable request.
References
Gleich, B. & Weizenecker, J. Tomographic imaging using the nonlinear response of magnetic particles. Nature 435, 1214–1217 (2005).
Knopp, T., Gdaniec, N. & Möddel, M. Magnetic particle imaging: from proof of principle to preclinical applications. Phys. Med. Biol. 62, R124 (2017).
Weaver, J. B., Rauwerdink, A. M., Sullivan, C. R. & Baker, I. Frequency distribution of the nanoparticle magnetization in the presence of a static as well as a harmonic magnetic field. Med. Phys. 35, 1988–1994 (2008).
Biederer, S. et al. Magnetization response spectroscopy of superparamagnetic nanoparticles for magnetic particle imaging. J. Phys. D Appl. Phys. 42, 205007 (2009).
Rauwerdink, A. M., Hansen, E. W. & Weaver, J. B. Nanoparticle temperature estimation in combined ac and dc magnetic fields. Phys. Med. Biol. 54, L51 (2009).
Rahmer, J., Halkola, A., Gleich, B., Schmale, I. & Borgert, J. First experimental evidence of the feasibility of multi-color magnetic particle imaging. Phys. Med. Biol. 60, 1775 (2015).
Stehning, C., Gleich, B. & Rahmer, J. Simultaneous magnetic particle imaging (MPI) and temperature mapping using multi-color MPI. Int. J. Magn. Part. Imaging 2, 2 (2016).
Möddel, M., Meins, C., Dieckhoff, J. & Knopp, T. Viscosity quantification using multi-contrast magnetic particle imaging. N. J. Phys. 20, 083001 (2018).
Utkur, M., Muslu, Y. & Saritas, E. U. Relaxation-based color magnetic particle imaging for viscosity mapping. Appl. Phys. Lett. 115, 152403 (2019).
Shasha, C. et al. Discriminating nanoparticle core size using multi-contrast MPI. Phys. Med. Biol. 64, 074001 (2019).
Möddel, M., Griese, F., Kluth, T. & Knopp, T. Estimating the spatial orientation of immobilized magnetic nanoparticles with parallel-aligned easy axes. Phys. Rev. Appl. 16, L041003 (2021).
Paysen, H. et al. Cellular uptake of magnetic nanoparticles imaged and quantified by magnetic particle imaging. Sci. Rep. 10, 1922 (2020).
Draack, S. et al. Determination of dominating relaxation mechanisms from temperature-dependent magnetic particle spectroscopy measurements. J. Magn. Magn. Mater. 474, 570–573 (2019).
Draack, S., Schilling, M. & Viereck, T. Magnetic particle imaging of particle dynamics in complex matrix systems. Phys. Sci. Rev. 8, 213–237 (2023).
Szwargulski, P. et al. Monitoring intracranial cerebral hemorrhage using multicontrast real-time magnetic particle imaging. ACS Nano 14, 13913–13923 (2020).
Thieben, F. et al. System characterization of a human-sized 3D real-time magnetic particle imaging scanner for cerebral applications. Commun. Eng. 3, 47 (2024).
Haegele, J. et al. Multi-color magnetic particle imaging for cardiovascular interventions. Phys. Med. Biol. 61, N415 (2016).
Rahmer, J., Wirtz, D., Bontus, C., Borgert, J. & Gleich, B. Interactive magnetic catheter steering with 3-D real-time feedback using multi-color magnetic particle imaging. IEEE Trans. Med. Imaging 36, 1449–1456 (2017).
Ahlborg, M. et al. First dedicated balloon catheter for magnetic particle imaging. IEEE Trans. Med. Imaging 41, 3301–3308 (2022).
Hajjar, S. & Zhou, X. pH sensing at the intersection of tissue homeostasis and inflammation. Trends Immunol. 44, 807–825 (2023).
Kuo, S.-H., Shen, C.-J., Shen, C.-F. & Cheng, C.-M. Role of pH value in clinically relevant diagnosis. Diagnostics 10, 107 (2020).
Wichterle, O. & Lim, D. Hydrophilic gels for biological use. Nature 185, 117–118 (1960).
Mahinroosta, M., Farsangi, Z. J., Allahverdi, A. & Shakoori, Z. Hydrogels as intelligent materials: a brief review of synthesis, properties and applications. Mater. Today Chem. 8, 42–55 (2018).
Deligkaris, K., Tadele, T. S., Olthuis, W. & van den Berg, A. Hydrogel-based devices for biomedical applications. Sens. Actuators B Chem. 147, 765–774 (2010).
Ullah, F., Othman, M. B. H., Javed, F., Ahmad, Z. & Akil, H. M. Classification, processing and application of hydrogels: a review. Mater. Sci. Eng. C 57, 414–433 (2015).
Feng, W. & Wang, Z. Tailoring the swelling-shrinkable behavior of hydrogels for biomedical applications. Adv. Sci. 10, 2303326 (2023).
Gil, E. S. & Hudson, S. M. Stimuli-reponsive polymers and their bioconjugates. Prog. Polym. Sci. 29, 1173–1222 (2004).
Pinelli, F., Magagnin, L. & Rossi, F. Progress in hydrogels for sensing applications: a review. Mater. Today Chem. 17, 100317 (2020).
Lavrador, P., Esteves, M. R., Gaspar, V. M. & Mano, J. F. Stimuli-responsive nanocomposite hydrogels for biomedical applications. Adv. Funct. Mater. 31, 2005941 (2021).
Arifuzzaman, M. et al. An implanted pH sensor read using radiography. Analyst 144, 2984–2993 (2019).
Richter, A. et al. Review on hydrogel-based pH sensors and microsensors. Sensors 8, 561–581 (2008).
Boberg, M. et al. Simultaneous imaging of widely differing particle concentrations in MPI: problem statement and algorithmic proposal for improvement. Phys. Med. Biol. 66, 095004 (2021).
Graeser, M. et al. Towards picogram detection of superparamagnetic iron-oxide particles using a gradiometric receive coil. Sci. Rep. 7, 6872 (2017).
Knopp, T. et al. Mpireco.jl: Julia package for image reconstruction in MPI. Int. J. Magn. Part. Imaging 5, 9 (2019).
Acknowledgements
Research funding: The main work has been done at the Fraunhofer IMTE, which is supported by the EU (EFRE) and the State Schleswig-Holstein, Germany (Projects: IMTE - Grant: LPW-E/1.1.1/1536, 124 20 002 and IMTE 2 - Grant: LPW21-L/2.2/262, 125 24 009). For finalization, the work was additionally funded by the DFG project “harmoMPI” (project no. 540326102) at PTB.
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B.K., J.A., and A.B. contributed to the conceptualization of the working principle. B.K. developed the hydrogel patch fabrication and prepared the samples. B.K. and J.A. performed magnetic characterization measurements of the samples. B.K., J.A., and M.G. performed evaluation of magnetic characterization. B.K., J.A., and A.B. contributed to experiment planning and execution. A.B. and M.G. supervised the project. B.K., J.A., and A.B. contributed to writing the paper. All authors reviewed the manuscript.
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Communications Engineering thanks Satoshi Ota and the other anonymous reviewer(s) for their contribution to the peer review of this work. Primary Handling Editors: [Jing Zhong] and [Rosamund Daw].
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Kluwe, B., Ackers, J., Graeser, M. et al. Multi-contrast magnetic particle imaging for tomographic pH monitoring using stimuli-responsive hydrogels. Commun Eng (2026). https://doi.org/10.1038/s44172-026-00586-8
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DOI: https://doi.org/10.1038/s44172-026-00586-8


