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Modelling mass and heat transfer in nano-based cancer hyperthermia

We derive a sophisticated mathematical model for coupled heat and mass transport in the tumour microenvironment and we apply it to study nanoparticle delivery and hyperthermic treatment of cancer. The model has the unique ability of combining the following features: (i) realistic vasculature; (ii) c...

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Detalles Bibliográficos
Autores principales: Nabil, M., Decuzzi, P., Zunino, P.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4632523/
https://www.ncbi.nlm.nih.gov/pubmed/26587251
http://dx.doi.org/10.1098/rsos.150447
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author Nabil, M.
Decuzzi, P.
Zunino, P.
author_facet Nabil, M.
Decuzzi, P.
Zunino, P.
author_sort Nabil, M.
collection PubMed
description We derive a sophisticated mathematical model for coupled heat and mass transport in the tumour microenvironment and we apply it to study nanoparticle delivery and hyperthermic treatment of cancer. The model has the unique ability of combining the following features: (i) realistic vasculature; (ii) coupled capillary and interstitial flow; (iii) coupled capillary and interstitial mass transfer applied to nanoparticles; and (iv) coupled capillary and interstitial heat transfer, which are the fundamental mechanisms governing nano-based hyperthermic treatment. This is an improvement with respect to previous modelling approaches, where the effect of blood perfusion on heat transfer is modelled in a spatially averaged form. We analyse the time evolution and the spatial distribution of particles and temperature in a tumour mass treated with superparamagnetic nanoparticles excited by an alternating magnetic field. By means of numerical experiments, we synthesize scaling laws that illustrate how nano-based hyperthermia depends on tumour size and vascularity. In particular, we identify two distinct mechanisms that regulate the distribution of particle and temperature, which are characterized by perfusion and diffusion, respectively.
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spelling pubmed-46325232015-11-19 Modelling mass and heat transfer in nano-based cancer hyperthermia Nabil, M. Decuzzi, P. Zunino, P. R Soc Open Sci Mathematics We derive a sophisticated mathematical model for coupled heat and mass transport in the tumour microenvironment and we apply it to study nanoparticle delivery and hyperthermic treatment of cancer. The model has the unique ability of combining the following features: (i) realistic vasculature; (ii) coupled capillary and interstitial flow; (iii) coupled capillary and interstitial mass transfer applied to nanoparticles; and (iv) coupled capillary and interstitial heat transfer, which are the fundamental mechanisms governing nano-based hyperthermic treatment. This is an improvement with respect to previous modelling approaches, where the effect of blood perfusion on heat transfer is modelled in a spatially averaged form. We analyse the time evolution and the spatial distribution of particles and temperature in a tumour mass treated with superparamagnetic nanoparticles excited by an alternating magnetic field. By means of numerical experiments, we synthesize scaling laws that illustrate how nano-based hyperthermia depends on tumour size and vascularity. In particular, we identify two distinct mechanisms that regulate the distribution of particle and temperature, which are characterized by perfusion and diffusion, respectively. The Royal Society Publishing 2015-10-21 /pmc/articles/PMC4632523/ /pubmed/26587251 http://dx.doi.org/10.1098/rsos.150447 Text en http://creativecommons.org/licenses/by/4.0/ © 2015 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
spellingShingle Mathematics
Nabil, M.
Decuzzi, P.
Zunino, P.
Modelling mass and heat transfer in nano-based cancer hyperthermia
title Modelling mass and heat transfer in nano-based cancer hyperthermia
title_full Modelling mass and heat transfer in nano-based cancer hyperthermia
title_fullStr Modelling mass and heat transfer in nano-based cancer hyperthermia
title_full_unstemmed Modelling mass and heat transfer in nano-based cancer hyperthermia
title_short Modelling mass and heat transfer in nano-based cancer hyperthermia
title_sort modelling mass and heat transfer in nano-based cancer hyperthermia
topic Mathematics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4632523/
https://www.ncbi.nlm.nih.gov/pubmed/26587251
http://dx.doi.org/10.1098/rsos.150447
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