2020
DOI: 10.1016/j.jmmm.2020.167234
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Modelling of magnetic bead transport in a microvascular network

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Cited by 4 publications
(5 citation statements)
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“…Inter‐endothelial routes comprise pores or open fenestrations in the tumor blood vessels, while trans‐endothelial pathways are based on transcytosis by tumor endothelial cells. [ 49–51 ] As corroborated by micro‐CT imaging, high‐resolution optical imaging and numerical modeling, the spatial‐temporal distribution of nanomaterials in the target tissue is not uniform, with the formation of high‐density agglomerates imposed by the host biological matrices, [ 52–56 ] as simplified in the schematic of Figure a. This effect can be amplified in the presence of magnets with collecting action [ 57 ] and, in the case of magnetic hyperthermia, it can lead to a heat deposition variable in space and in time and, consequently, to a heterogeneous temperature increase.…”
Section: Resultsmentioning
confidence: 99%
“…Inter‐endothelial routes comprise pores or open fenestrations in the tumor blood vessels, while trans‐endothelial pathways are based on transcytosis by tumor endothelial cells. [ 49–51 ] As corroborated by micro‐CT imaging, high‐resolution optical imaging and numerical modeling, the spatial‐temporal distribution of nanomaterials in the target tissue is not uniform, with the formation of high‐density agglomerates imposed by the host biological matrices, [ 52–56 ] as simplified in the schematic of Figure a. This effect can be amplified in the presence of magnets with collecting action [ 57 ] and, in the case of magnetic hyperthermia, it can lead to a heat deposition variable in space and in time and, consequently, to a heterogeneous temperature increase.…”
Section: Resultsmentioning
confidence: 99%
“…the time evolution of the vector position s and velocity v ) of a generic MOLND with mass χ , hydrodynamic radius R hyd and magnetic moment m by the following equation:where μ f , η f and v f are the magnetic permeability, viscosity and velocity of the fluid within the micro-channel, here considered to be water. 39 Neglecting the contribution of the chitosan or dextran coating, the MOLND mass χ was determined as: χ = ρ core V core + ρ MNPs V MNPs where ρ core and ρ MNPs are the densities of the MOLND core and of the decorating MNPs. The volumes of the core and of the MNP aggregates were extracted from DLS measurements and observation of SEM/TEM images, assuming as a first approximation that the MNP aggregates form a uniform layer on top of the OLND surface.…”
Section: Methodsmentioning
confidence: 99%
“…where μ f , η f and v f are the magnetic permeability, viscosity and velocity of the fluid within the micro-channel, here considered to be water. 39 Neglecting the contribution of the chitosan or dextran coating, the MOLND mass χ was determined as:…”
Section: Numerical Modeling Of Magnetic Nanodroplet Flow Under Magnet...mentioning
confidence: 99%
“…where N beads is the number of beads, m bead,n is the magnetic moment of the n-th bead, and r n is the vector position of its barycenter [41]. The bead magnetic moment was approximated by means of the Langevin function:…”
Section: Calculation Of Bead Stray Field and Magnetic Forcementioning
confidence: 99%
“…where µ fluid is the magnetic permeability of the fluid in which the beads are immersed, here assumed to be equal to the vacuum permeability µ 0 [41,42].…”
Section: Calculation Of Bead Stray Field and Magnetic Forcementioning
confidence: 99%