Optimization method of a magnetic field generating a magnetic force field for magnetic nanoparticle control
Source abstract
Abstract
We present a novel method for estimating the magnetic field that can generate the desired magnetic force to move magnetic nanoparticles in a region of interest. The magnetic field is expanded using vector spherical harmonics, and the optimal multipole moments are estimated. The multipole moments are included in quadratic form because the magnetic force is defined as the product of the magnetic field and its gradient. We transform the system of quadratic equations into a rank-one-matrix estimation problem to construct a convex numerical algorithm based on a well-established proximal operation. The proposed method was validated using numerical simulations and can be used to design magnetic force patterns that cannot be generated using a simple coil pair.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Characterization and Applications of Magnetic Nanoparticles · Microfluidic and Bio-sensing Technologies · Micro and Nano Robotics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Graduate School of Engineering, The University of Tokyo , Tokyo, Japan
Funding
Japan Agency for Medical Research and Development
References (28)
Show source-provided references
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