FLUID TRANSPORT IN VASCULARIZED TUMORS AND METASTASIS

Citation
Bd. Sleeman et Hr. Nimmo, FLUID TRANSPORT IN VASCULARIZED TUMORS AND METASTASIS, IMA journal of mathematics applied in medicine and biology, 15(1), 1998, pp. 53-63
Citations number
27
Categorie Soggetti
Mathematics, Miscellaneous","Biology Miscellaneous","Mathematics, Miscellaneous
ISSN journal
02650746
Volume
15
Issue
1
Year of publication
1998
Pages
53 - 63
Database
ISI
SICI code
0265-0746(1998)15:1<53:FTIVTA>2.0.ZU;2-9
Abstract
In this paper we propose a modification to a model of R. K. Jain and L . T. Baxter used to describe fluid transport in vascularized tumours. The model predicts high interstitial pressure in the interior of the t umour together with a rapid decrease in pressure to its periphery in a greement with experiment and the predictions of the Jain-Baxter model. By the addition of a pressure-curvature (Gibbs-Thomson) condition on the periphery of the tumour we are able to show by a perturbation anal ysis that a lowering of the interstitial pressure can retard tumour gr owth. Lowering interstitial pressure may also be beneficial to the tar geting of therapeutic drugs.