Magnus Herberthson

Professor

My research is in the field of biomedicine, in particular magnetic resonance imaging (MRI), where I develop mathematical methods for MRI with diffusion applications. I am also the director of doctoral studies and teach undergraduate calculus courses.

Research

Biomedical Image Science

We develop methods & techniques for depicting anatomy & function in the human body & its organs. From imaging techniques, through methods of analysis and quantification of image information, to validation of new methods and image-based biomarkers.

Publications

2026

Alfredo Miguel Ordinola, Magnus Herberthson, Walker Jackson, Evren Özarslan (2026)

Detecting and characterizing restricted diffusion with accessible magnetic field gradients PNAS Nexus, Vol. 5, Article pgag293 (Article in journal)

https://dx.doi.org/10.1093/pnasnexus/pgag293

2025

Magnus Herberthson, Peter J. Basser, Evren Özarslan (2025)

Time-dependent diffusion in one-dimensional disordered media decorated by permeable membranes: Theoretical findings backed by simulations and a new disorder class Physics of fluids, Vol. 37, Article 067159 (Article in journal)

https://dx.doi.org/10.1063/5.0272370

Teddy X. Cai, Nathan H. Williamson, Rea Ravin, Magnus Herberthson, Evren Özarslan, Peter J. Basser (2025)

Measuring the velocity autocorrelation function using diffusion NMR Journal of Chemical Physics, Vol. 162, Article 174203 (Article in journal)

https://dx.doi.org/10.1063/5.0258081

Alfredo Ordinola, David Abramian, Magnus Herberthson, Anders Eklund, Evren Özarslan (2025)

Super-resolution mapping of anisotropic tissue structure with diffusion MRI and deep learning Scientific Reports, Vol. 15, Article 6580 (Article in journal)

https://dx.doi.org/10.1038/s41598-025-90972-7

2024

Alfredo Miguel Ordinola, Evren Özarslan, Ruiliang Bai, Magnus Herberthson (2024)

Limitations and generalizations of the first order kinetics reaction expression for modeling diffusion-driven exchange: Implications on NMR exchange measurements Journal of Chemical Physics, Vol. 160, Article 084701 (Article in journal)

https://dx.doi.org/10.1063/5.0188865

Organisation

A tiling of the hyperbolic plane. CRED: By Claudio Rocchini - Own work, CC BY 2.5, https://commons.wikimedia.org/w/index.php?curid=1669501.

Algebra, Geometry and Discrete Mathematics (ALGD)

Our research focuses on a number of different subject areas such as algebra, geometry, topology, dynamic systems, combinatorics and graph theory. The division consists of about twenty teachers, researchers and doctoral students.

Department of Mathematics (MAI)

The department conducts research in computational mathematics, mathematics and applied mathematics, mathematical statistics, and optimization. We provide courses to students in most degree programmes in mathematics, science and engineering.

Studenthuset on Campus Valla in Linköping

About LiU

Linköping University, LiU, offers innovative education and boundary-crossing research. The students are among the most desirable in the labour market and international rankings consistently place LiU as a leading global university.