Fülöp, Z. B., Ramírez-Torres, A. and Penta, R. (2023) Multiscale modelling of fluid transport in vascular tumours subjected to electrophoresis anticancer therapies. Zeitschrift für Angewandte Mathematik und Physik, 75, 9. (doi: 10.1007/s00033-023-02141-3)
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Abstract
Electrophoresis facilitated cancer treatment has demonstrated experimental efficacy in enhancing drug delivery within vascularised tumours. However, the lack of realistic mathematical models with direct measurements in the context of electrochemotherapy poses a challenge. We investigate the impact of an applied electric potential on the flow of Darcian-type fluid occurring in two distinct phases: the tumour and healthy regions. We employ the asymptotic homogenisation technique, assuming that the macroscale of the tumour domain is larger than the microscale characterised by vessel heterogeneities. We retain information about the microstructure by encoding information in the homogenised coefficients. We take into account both vascularisation and the microscale variations of the leading order and fine scale electric potential. The resulting effective differential problem reads as a Darcy-type system of PDEs, where the flow is driven by an effective source. The novel model can be used to predict the effect of an applied electric field on cancerous biological tissues, paving a new way of improving current electrochemotherapy protocols.
| Item Type: | Articles |
|---|---|
| Additional Information: | ZBF is supported by EPSRC scholarship EP/W523823/1. RP is partially funded by EPSRC grants EP/S030875/1 and EP/T017899/1. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Penta, Dr Raimondo and Ramirez Torres, Dr Ariel and Fulop, Zita Borbala |
| Creator Roles: | Fulop, Z. B.Writing – original draft, Writing – review and editing, Conceptualization, Formal analysis, Software, Visualization Ramirez Torres, A.Writing – review and editing, Conceptualization, Software, Methodology, Supervision Penta, R.Writing – review and editing, Writing – original draft, Conceptualization, Software, Methodology, Supervision, Project administration |
| Authors: | Fülöp, Z. B., Ramírez-Torres, A., and Penta, R. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Zeitschrift für Angewandte Mathematik und Physik |
| Publisher: | Springer |
| ISSN: | 0044-2275 |
| ISSN (Online): | 1420-9039 |
| Copyright Holders: | Copyright © 2023 The Author(s) |
| First Published: | First published in Zeitschrift für Angewandte Mathematik und Physik 75:9 |
| Publisher Policy: | Reproduced under a Creative Commons licence |
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