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
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.