Sleeman B D, Nimmo H R
School of Mathematics, University of Leeds, UK.
IMA J Math Appl Med Biol. 1998 Mar;15(1):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 tumour together with a rapid decrease in pressure to its periphery in agreement 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 analysis that a lowering of the interstitial pressure can retard tumour growth. Lowering interstitial pressure may also be beneficial to the targeting of therapeutic drugs.
在本文中，我们对R.K. Jain和L.T. Baxter用于描述血管化肿瘤中流体传输的模型提出了一种修正。该模型预测肿瘤内部存在较高的间质压力，同时压力向其周边迅速降低，这与实验结果以及Jain-Baxter模型的预测一致。通过在肿瘤周边添加压力-曲率（吉布斯-汤姆逊）条件，我们能够通过微扰分析表明，间质压力的降低可以延缓肿瘤生长。降低间质压力可能也有利于治疗药物的靶向作用。
