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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Format: | Article |
Language: | English |
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MDPI AG
2022-08-01
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Series: | Pharmaceutics |
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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. |
first_indexed | 2024-03-09T12:46:36Z |
format | Article |
id | doaj.art-236275d54c3b4c0e904cb646b9a8b455 |
institution | Directory Open Access Journal |
issn | 1999-4923 |
language | English |
last_indexed | 2024-03-09T12:46:36Z |
publishDate | 2022-08-01 |
publisher | MDPI AG |
record_format | Article |
series | Pharmaceutics |
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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