Modelling of Nanoparticle Distribution in a Spherical Tumour during and Following Local Injection

Radio-sensitizing nanoparticles are a potential method to increase the damage caused to cancerous cells during the course of radiotherapy. The distribution of these particles in a given targeted tumour is a relevant factor in determining the efficacy of nanoparticle-enhanced treatment. In this study...

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Main Authors: George Caddy, Justin Stebbing, Gareth Wakefield, Xiao Yun Xu
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Pharmaceutics
Subjects:
Online Access:https://www.mdpi.com/1999-4923/14/8/1615
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author George Caddy
Justin Stebbing
Gareth Wakefield
Xiao Yun Xu
author_facet George Caddy
Justin Stebbing
Gareth Wakefield
Xiao Yun Xu
author_sort George Caddy
collection DOAJ
description Radio-sensitizing nanoparticles are a potential method to increase the damage caused to cancerous cells during the course of radiotherapy. The distribution of these particles in a given targeted tumour is a relevant factor in determining the efficacy of nanoparticle-enhanced treatment. In this study, a three-part mathematical model is shown to predict the distribution of nanoparticles after direct injection into a tumour. In contrast with previous studies, here, a higher value of diffusivity for charged particles was used and the concentration profile of deposited particles was studied. Simulation results for particle concentrations both in the interstitial fluid and deposited onto cells are compared for different values of particle surface charges during and after injection. Our results show that particles with a negative surface charge can spread farther from the injection location as compared to uncharged particles with charged particles occupying 100% of the tumour volume compared to 8.8% for uncharged particles. This has implications for the future development of radiosensitizers and any associated trials.
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spelling doaj.art-236275d54c3b4c0e904cb646b9a8b4552023-11-30T22:11:24ZengMDPI AGPharmaceutics1999-49232022-08-01148161510.3390/pharmaceutics14081615Modelling of Nanoparticle Distribution in a Spherical Tumour during and Following Local InjectionGeorge Caddy0Justin Stebbing1Gareth Wakefield2Xiao Yun Xu3Department of Chemical Engineering, South Kensington Campus, Imperial College London, London SW7 2AZ, UKDepartment of Surgery and Cancer, Imperial College London, London SW7 2AZ, UKXerion Healthcare Ltd., Cherwell Innovation Centre, 77 Heyford Park, Oxfordshire OX25 5HD, UKDepartment of Chemical Engineering, South Kensington Campus, Imperial College London, London SW7 2AZ, UKRadio-sensitizing nanoparticles are a potential method to increase the damage caused to cancerous cells during the course of radiotherapy. The distribution of these particles in a given targeted tumour is a relevant factor in determining the efficacy of nanoparticle-enhanced treatment. In this study, a three-part mathematical model is shown to predict the distribution of nanoparticles after direct injection into a tumour. In contrast with previous studies, here, a higher value of diffusivity for charged particles was used and the concentration profile of deposited particles was studied. Simulation results for particle concentrations both in the interstitial fluid and deposited onto cells are compared for different values of particle surface charges during and after injection. Our results show that particles with a negative surface charge can spread farther from the injection location as compared to uncharged particles with charged particles occupying 100% of the tumour volume compared to 8.8% for uncharged particles. This has implications for the future development of radiosensitizers and any associated trials.https://www.mdpi.com/1999-4923/14/8/1615mathematical modellingradiotherapyparticle transporttumour
spellingShingle George Caddy
Justin Stebbing
Gareth Wakefield
Xiao Yun Xu
Modelling of Nanoparticle Distribution in a Spherical Tumour during and Following Local Injection
Pharmaceutics
mathematical modelling
radiotherapy
particle transport
tumour
title Modelling of Nanoparticle Distribution in a Spherical Tumour during and Following Local Injection
title_full Modelling of Nanoparticle Distribution in a Spherical Tumour during and Following Local Injection
title_fullStr Modelling of Nanoparticle Distribution in a Spherical Tumour during and Following Local Injection
title_full_unstemmed Modelling of Nanoparticle Distribution in a Spherical Tumour during and Following Local Injection
title_short Modelling of Nanoparticle Distribution in a Spherical Tumour during and Following Local Injection
title_sort modelling of nanoparticle distribution in a spherical tumour during and following local injection
topic mathematical modelling
radiotherapy
particle transport
tumour
url https://www.mdpi.com/1999-4923/14/8/1615
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