Document Type
Article
Publication Date
3-9-2016
Publication Title
PloS One
Department
Department of Physics and Astronomy
Additional Department
Geisel School of Medicine
Abstract
Understanding the dynamics of magnetic particles can help to advance several biomedical nanotechnologies. Previously, scaling relationships have been used in magnetic spectroscopy of nanoparticle Brownian motion (MSB) to measure biologically relevant properties (e.g., temperature, viscosity, bound state) surrounding nanoparticles in vivo. Those scaling relationships can be generalized with the introduction of a master variable found from non-dimensionalizing the dynamical Langevin equation. The variable encapsulates the dynamical variables of the surroundings and additionally includes the particles’ size distribution and moment and the applied field’s amplitude and frequency. From an applied perspective, the master variable allows tuning to an optimal MSB biosensing sensitivity range by manipulating both frequency and field amplitude. Calculation of magnetization harmonics in an oscillating applied field is also possible with an approximate closed-form solution in terms of the master variable and a single free parameter.
DOI
10.1371/journal.pone.0150856
Dartmouth Digital Commons Citation
Reeves, Daniel B.; Shi, Yipeng; and Weaver, John B., "Generalized Scaling and the Master Variable for Brownian Magnetic Nanoparticle Dynamics" (2016). Dartmouth Scholarship. 2727.
https://digitalcommons.dartmouth.edu/facoa/2727
