Understanding the dynamics of superparamagnetic particles under the influence of high field gradient arrays

The aim of this study was to characterize the behaviour of superparamagnetic particles in magnetic drug targeting (MDT) schemes. A 3- dimensional mathematical model was developed, based on the analytical derivation of the trajectory of a magnetized particle suspended inside a fluid channel carrying...

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Main Authors: Barnsley, L, Carugo, D, Aron, M, Stride, E
Format: Journal article
Published: IOP Publishing 2017
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author Barnsley, L
Carugo, D
Aron, M
Stride, E
author_facet Barnsley, L
Carugo, D
Aron, M
Stride, E
author_sort Barnsley, L
collection OXFORD
description The aim of this study was to characterize the behaviour of superparamagnetic particles in magnetic drug targeting (MDT) schemes. A 3- dimensional mathematical model was developed, based on the analytical derivation of the trajectory of a magnetized particle suspended inside a fluid channel carrying laminar flow and in the vicinity of an external source of magnetic force. Semianalytical expressions to quantify the proportion of captured particles, and their relative accumulation (concentration) as a function of distance along the wall of the channel were also derived. These were expressed in terms of a non-dimensional ratio of the relevant physical and physiological parameters corresponding to a given MDT protocol. <br/>The ability of the analytical model to assess magnetic targeting schemes was tested against numerical simulations of particle trajectories. The semi-analytical expressions were found to provide good first-order approximations for the performance of MDT systems in which the magnetic force is relatively constant over a large spatial range. <br/>The numerical model was then used to test the suitability of a range of different designs of permanent magnet assemblies for MDT. The results indicated that magnetic arrays that emit a strong magnetic force that varies rapidly over a confined spatial range are the most suitable for concentrating magnetic particles in a localized region. By comparison, commonly used magnet geometries such as button magnets and linear Halbach arrays result in distributions of accumulated particles that are less efficient for delivery. <br/>The trajectories predicted by the numerical model were verified experimentally by acoustically focusing magnetic microbeads flowing in a glass capillary channel, and optically tracking their path past a high field gradient Halbach array.
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spelling oxford-uuid:e4c56b38-530e-4cb4-bd20-d3a5f6a047bc2022-03-27T10:19:00ZUnderstanding the dynamics of superparamagnetic particles under the influence of high field gradient arraysJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e4c56b38-530e-4cb4-bd20-d3a5f6a047bcSymplectic Elements at OxfordIOP Publishing2017Barnsley, LCarugo, DAron, MStride, EThe aim of this study was to characterize the behaviour of superparamagnetic particles in magnetic drug targeting (MDT) schemes. A 3- dimensional mathematical model was developed, based on the analytical derivation of the trajectory of a magnetized particle suspended inside a fluid channel carrying laminar flow and in the vicinity of an external source of magnetic force. Semianalytical expressions to quantify the proportion of captured particles, and their relative accumulation (concentration) as a function of distance along the wall of the channel were also derived. These were expressed in terms of a non-dimensional ratio of the relevant physical and physiological parameters corresponding to a given MDT protocol. <br/>The ability of the analytical model to assess magnetic targeting schemes was tested against numerical simulations of particle trajectories. The semi-analytical expressions were found to provide good first-order approximations for the performance of MDT systems in which the magnetic force is relatively constant over a large spatial range. <br/>The numerical model was then used to test the suitability of a range of different designs of permanent magnet assemblies for MDT. The results indicated that magnetic arrays that emit a strong magnetic force that varies rapidly over a confined spatial range are the most suitable for concentrating magnetic particles in a localized region. By comparison, commonly used magnet geometries such as button magnets and linear Halbach arrays result in distributions of accumulated particles that are less efficient for delivery. <br/>The trajectories predicted by the numerical model were verified experimentally by acoustically focusing magnetic microbeads flowing in a glass capillary channel, and optically tracking their path past a high field gradient Halbach array.
spellingShingle Barnsley, L
Carugo, D
Aron, M
Stride, E
Understanding the dynamics of superparamagnetic particles under the influence of high field gradient arrays
title Understanding the dynamics of superparamagnetic particles under the influence of high field gradient arrays
title_full Understanding the dynamics of superparamagnetic particles under the influence of high field gradient arrays
title_fullStr Understanding the dynamics of superparamagnetic particles under the influence of high field gradient arrays
title_full_unstemmed Understanding the dynamics of superparamagnetic particles under the influence of high field gradient arrays
title_short Understanding the dynamics of superparamagnetic particles under the influence of high field gradient arrays
title_sort understanding the dynamics of superparamagnetic particles under the influence of high field gradient arrays
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AT aronm understandingthedynamicsofsuperparamagneticparticlesundertheinfluenceofhighfieldgradientarrays
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