Modeling the In-Flow Capture of Magnetic Nanoparticles

Hallmark, Bart; Darton, Nicholas J.; Pearce, D.

doi:10.1017/9781139381222.006

“…[ 28 ] Under a magnetic field, the magnetic particles arrange into columns aligned with the field due to dipole–dipole interactions, and these arrangements are transported as a whole and act as larger, non‐spherical objects. This phenomenon, referred to as “cooperative magnetophoresis,” [ 29–31 ] leads to increased magnetophoretic velocity and facilitates further aggregation of magnetic particles. The magnetic force acting on a column of beads is assumed to be equal to the sum of the force applied to each individual particle, as this body force acts in the bulk of the material, and can be expressed as:

\begin{array}{*{20}{c}}{{F_{{\rm{mag,column}}}} = N{\rho _{\rm{p}}}{V_{\rm{p}}}{M_{\rm{p}}}\nabla B}\end{array}

where N is the number of particles in the column that can be estimated experimentally, ρ p (kg m –3 ) and V p (m 3 ) are the particle density and volume, respectively, M p (emu g –1 or A m 2 kg –1 ) is the particle magnetization per mass unit, and ∇ B (T m –1 ) is the magnetic field gradient.…”

Section: Resultsmentioning

confidence: 99%

“…[28] Under a magnetic field, the magnetic particles arrange into columns aligned with the field due to dipole-dipole interactions, and these arrangements are transported as a whole and act as larger, non-spherical objects. This phenomenon, referred to as "cooperative magnetophoresis," [29][30][31] leads to increased magnetophoretic velocity and facilitates further aggregation of magnetic particles. The magnetic force acting on a column of beads is assumed to be equal to the sum of the force applied to each individual particle, as this body force acts in the bulk of the material, and can be expressed as:…”

Section: Cluster Formation Criterionmentioning

confidence: 99%

Magnetic Microtweezers: A Tool for High‐Throughput Bioseparation in Sub‐Nanoliter Droplets

Dumas

¹

,

Richerd

²

,

Serra

³

et al. 2022

Adv Materials Technologies

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for his support in photolithography and sputtering and Bertrand Cinquin for EDX spectrometry. They also thank Koceila Aizel for support with electroplating, and Fanny Tabarin and Aude Battistella for training them on cell and molecular biology (Institut Curie, UMR168), David Hrabovsky (MPBT platform, Sorbonne University) for magnetometry measurements, and Olivier Lefebvre (C2N, Univ. Paris-Saclay) for helpful advice on electroplating. This work was supported by the Institut Pierre-Gilles de Gennes (équipement d'excellence and LABEX, "Investissement d'avenir," program ANR-10-EQPX-34).

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“…with the saturation magnetisation M sp of the nanoparticles (Furlani and Ng, 2006;Hallmark et al, 2019), based on the experimental results of Takayasu et al (1983). Below saturation, the magnetisation is directly proportional to the applied magnetic field H, and above saturation, the magnetisation is equal to the saturation magnetisation M sp and aligned with the applied magnetic field H.…”

Section: Magnetic Force On the Nanoparticlesmentioning

confidence: 99%

An in silico model of the capturing of magnetic nanoparticles in tumour spheroids in the presence of flow

Wirthl,

Janko,

Lyer

et al. 2023

Preprint

0

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One of the main challenges in improving the efficacy of conventional chemotherapeutic drugs is that they do not reach the cancer cells at sufficiently high doses while at the same time affecting healthy tissue and causing significant side effects and suffering in cancer patients. To overcome this deficiency, magnetic nanoparticles as transporter systems have emerged as a promising approach to achieve more specific tumour targeting. Drug-loaded magnetic nanoparticles can be directed to the target tissue by applying an external magnetic field. However, the magnetic forces exerted on the nanoparticles fall off rapidly with distance, making the tumour targeting challenging, even more so in the presence of flowing blood or interstitial fluid. We therefore present a computational model of the capturing of magnetic nanoparticles in a test setup: our model includes the flow around the tumour, the magnetic forces that guide the nanoparticles, and the transport within the tumour. We show how a model for the transport of magnetic nanoparticles in an external magnetic field can be integrated with a multiphase tumour model based on the theory of porous media. Our approach based on the underlying physical mechanisms can provide crucial insights into mechanisms that cannot be studied conclusively in experimental research alone. Such a computational model enables an efficient and systematic exploration of the nanoparticle design space, first in a controlled test setup and then in more complex in vivo scenarios. As an effective tool for minimising costly trial-and-error design methods, it expedites translation into clinical practice to improve therapeutic outcomes and limit adverse effects for cancer patients.

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An in silico model of the capturing of magnetic nanoparticles in tumour spheroids in the presence of flow

Wirthl,

Janko,

Lyer

et al. 2023

Biomed Microdevices

1

0

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One of the main challenges in improving the efficacy of conventional chemotherapeutic drugs is that they do not reach the cancer cells at sufficiently high doses while at the same time affecting healthy tissue and causing significant side effects and suffering in cancer patients. To overcome this deficiency, magnetic nanoparticles as transporter systems have emerged as a promising approach to achieve more specific tumour targeting. Drug-loaded magnetic nanoparticles can be directed to the target tissue by applying an external magnetic field. However, the magnetic forces exerted on the nanoparticles fall off rapidly with distance, making the tumour targeting challenging, even more so in the presence of flowing blood or interstitial fluid. We therefore present a computational model of the capturing of magnetic nanoparticles in a test setup: our model includes the flow around the tumour, the magnetic forces that guide the nanoparticles, and the transport within the tumour. We show how a model for the transport of magnetic nanoparticles in an external magnetic field can be integrated with a multiphase tumour model based on the theory of porous media. Our approach based on the underlying physical mechanisms can provide crucial insights into mechanisms that cannot be studied conclusively in experimental research alone. Such a computational model enables an efficient and systematic exploration of the nanoparticle design space, first in a controlled test setup and then in more complex in vivo scenarios. As an effective tool for minimising costly trial-and-error design methods, it expedites translation into clinical practice to improve therapeutic outcomes and limit adverse effects for cancer patients. Graphic Abstract

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Modeling the In-Flow Capture of Magnetic Nanoparticles

Cited by 3 publications

References 42 publications

Magnetic Microtweezers: A Tool for High‐Throughput Bioseparation in Sub‐Nanoliter Droplets

Magnetic Microtweezers: A Tool for High‐Throughput Bioseparation in Sub‐Nanoliter Droplets

An in silico model of the capturing of magnetic nanoparticles in tumour spheroids in the presence of flow

An in silico model of the capturing of magnetic nanoparticles in tumour spheroids in the presence of flow

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