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Special Issue "Fractional Calculus in Magnetic Resonance"
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".
Deadline for manuscript submissions: closed (31 December 2021) | Viewed by 8560
Special Issue Editors
Interests: magnetic resonance imaging; diffusion; relaxation; fractional calculus
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
The applications of fractional calculus in the field of magnetic resonance are widespread and growing. In particular, we can extend the capabilities of nuclear magnetic resonance (NMR), electron spin resonance (ESR), and magnetic resonance imaging (MRI) by the generalization of the integer-order derivatives found in the governing equations (Bloch, and Bloch–Torrey equations). Solutions obtained using fractional calculus illuminate the structure and dynamics of materials at the molecular, cellular, and tissue length scales. In these situations, the space and time-fractional derivatives encode features that are not completely resolved using standard methods. As a consequence, molecular couplings, cell membrane permeability, and imaging biomarkers, for example, can be computed and displayed. These new techniques combine the specificity of fractional calculus with the non-perturbing sensitivity of magnetic resonance. The development of these methods and models requires cooperation between experts in magnetic resonance and applied mathematics; cooperation exhibited by the technical, review, and tutorial papers in this Special Issue.
The purpose of this Special Issue is to gather articles reflecting the latest developments of fractional calculus in the fields of nuclear magnetic resonance (NMR), electron spin resonance (ESR), and magnetic resonance imaging (MRI). Applications employing fractional calculus in the sub-disciplines of NMR/ESR spectroscopy, relaxation, diffusion, and MRI are encouraged.
Prof. Richard L. Magin
Dr. David Reiter
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2100 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
- Fractional calculus
- Magnetic resonance
- Magnetic resonance imaging
- Nuclear magnetic resonance
- Electron spin resonance