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Multimodality imaging and mathematical modelling of drug delivery to glioblastomas

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RS_Interface_Focus_revisedpaper_july2016_finalversion.pdf (7.774Mb)
Date
06/10/2016
Author
Boujelben, Ahmed
Watson, Michael
McDougall, Steven
Yen, Yi-Fen
Gerstner, Elizabeth
Catana, Ciprian
Deisboeck, Thomas
Batchelor, Tracy
Boas, David
Rosen, Bruce
Kalpathy-Cramer, Jayashree
Chaplain, Mark Andrew Joseph
Keywords
Multimodality imaging
Glioblastoma
Drug delivery
Perfusion
Computational modelling and simulation
RM Therapeutics. Pharmacology
QA Mathematics
QH301 Biology
NDAS
Metadata
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Abstract
Patients diagnosed with glioblastoma, an aggressive brain tumour, have a poor prognosis, with a median overall survival of less than 15 months. Vasculature within these tumours is typically abnormal, with increased tortuosity, dilation and disorganization and they typically exhibit a disrupted blood brain barrier. Although it has been hypothesized that the “normalization” of the vasculature resulting from anti-angiogenic therapies could improve drug delivery through improved blood flow, there is also evidence that suggests that the restoration of blood brain barrier integrity might limit the delivery of therapeutic agents and hence their effectiveness. In this paper we apply mathematical models of blood flow, vascular permeability and diffusion within the tumour microenvironment to investigate the effect of these competing factors on drug delivery. Preliminary results from the modelling indicate that all three physiological parameters investigated – flow rate, vessel permeability, and tissue diffusion coefficient – interact nonlinearly to produce the observed average drug concentration in the microenvironment.
Citation
Boujelben , A , Watson , M , McDougall , S , Yen , Y-F , Gerstner , E , Catana , C , Deisboeck , T , Batchelor , T , Boas , D , Rosen , B , Kalpathy-Cramer , J & Chaplain , M A J 2016 , ' Multimodality imaging and mathematical modelling of drug delivery to glioblastomas ' , Interface Focus , vol. 6 , no. 5 , 20160039 . https://doi.org/10.1098/rsfs.2016.0039
Publication
Interface Focus
Status
Peer reviewed
DOI
https://doi.org/10.1098/rsfs.2016.0039
ISSN
2042-8898
Type
Journal article
Rights
© 2016, the Author(s). This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at rsfs.royalsocietypublishing.org / https://dx.doi.org/10.1098/rsfs.2016.0039
Description
MAJC would like to thank the Isaac Newton Institute for Mathematical Sciences for its hospitality during the programme “Coupling Geometric PDEs with Physics for Cell Morphology, Motility and Pattern Formation” supported by EPSRC Grant Number EP/K032208/1.
Collections
  • University of St Andrews Research
URI
http://hdl.handle.net/10023/11513

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