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The impact of vascular volume fraction and compressibility of the interstitial matrix on vascularised poroelastic tissues

In this work we address the role of the microstructural properties of a vascularised poroelastic material, characterised by the coupling between a poroelastic matrix and a viscous fluid vessels network, on its overall response in terms of pressures, velocities and stress maps. We embrace the recentl...

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Autores principales: Mascheroni, Pietro, Penta, Raimondo, Merodio, José
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10613172/
https://www.ncbi.nlm.nih.gov/pubmed/37587330
http://dx.doi.org/10.1007/s10237-023-01742-1
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author Mascheroni, Pietro
Penta, Raimondo
Merodio, José
author_facet Mascheroni, Pietro
Penta, Raimondo
Merodio, José
author_sort Mascheroni, Pietro
collection PubMed
description In this work we address the role of the microstructural properties of a vascularised poroelastic material, characterised by the coupling between a poroelastic matrix and a viscous fluid vessels network, on its overall response in terms of pressures, velocities and stress maps. We embrace the recently developed model (Penta and Merodio in Meccanica 52(14):3321–3343, 2017) as a theoretical starting point and present the results obtained by solving the full interplay between the microscale, represented by the intervessels’ distance, and the macroscale, representing the size of the overall tissue. We encode the influence of the vessels’ density and the poroelastic matrix compressibility in the poroelastic coefficients of the model, which are obtained by solving appropriate periodic cell problem at the microscale. The double-poroelastic model (Penta and Merodio 2017) is then solved at the macroscale in the context of vascular tumours, for different values of vessels’ walls permeability. The results clearly indicate that improving the compressibility of the matrix and decreasing the vessels’ density enhances the transvascular pressure difference and hence transport of fluid and drug within a tumour mass after a transient time. Our results suggest to combine vessel and interstitial normalization in tumours to allow for better drug delivery into the lesions. SUPPLEMENTARY INFORMATION: The online version contains supplementary material available at 10.1007/s10237-023-01742-1.
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spelling pubmed-106131722023-10-30 The impact of vascular volume fraction and compressibility of the interstitial matrix on vascularised poroelastic tissues Mascheroni, Pietro Penta, Raimondo Merodio, José Biomech Model Mechanobiol Original Paper In this work we address the role of the microstructural properties of a vascularised poroelastic material, characterised by the coupling between a poroelastic matrix and a viscous fluid vessels network, on its overall response in terms of pressures, velocities and stress maps. We embrace the recently developed model (Penta and Merodio in Meccanica 52(14):3321–3343, 2017) as a theoretical starting point and present the results obtained by solving the full interplay between the microscale, represented by the intervessels’ distance, and the macroscale, representing the size of the overall tissue. We encode the influence of the vessels’ density and the poroelastic matrix compressibility in the poroelastic coefficients of the model, which are obtained by solving appropriate periodic cell problem at the microscale. The double-poroelastic model (Penta and Merodio 2017) is then solved at the macroscale in the context of vascular tumours, for different values of vessels’ walls permeability. The results clearly indicate that improving the compressibility of the matrix and decreasing the vessels’ density enhances the transvascular pressure difference and hence transport of fluid and drug within a tumour mass after a transient time. Our results suggest to combine vessel and interstitial normalization in tumours to allow for better drug delivery into the lesions. SUPPLEMENTARY INFORMATION: The online version contains supplementary material available at 10.1007/s10237-023-01742-1. Springer Berlin Heidelberg 2023-08-17 2023 /pmc/articles/PMC10613172/ /pubmed/37587330 http://dx.doi.org/10.1007/s10237-023-01742-1 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Paper
Mascheroni, Pietro
Penta, Raimondo
Merodio, José
The impact of vascular volume fraction and compressibility of the interstitial matrix on vascularised poroelastic tissues
title The impact of vascular volume fraction and compressibility of the interstitial matrix on vascularised poroelastic tissues
title_full The impact of vascular volume fraction and compressibility of the interstitial matrix on vascularised poroelastic tissues
title_fullStr The impact of vascular volume fraction and compressibility of the interstitial matrix on vascularised poroelastic tissues
title_full_unstemmed The impact of vascular volume fraction and compressibility of the interstitial matrix on vascularised poroelastic tissues
title_short The impact of vascular volume fraction and compressibility of the interstitial matrix on vascularised poroelastic tissues
title_sort impact of vascular volume fraction and compressibility of the interstitial matrix on vascularised poroelastic tissues
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10613172/
https://www.ncbi.nlm.nih.gov/pubmed/37587330
http://dx.doi.org/10.1007/s10237-023-01742-1
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