Abstract
A numerical simulation of interstitial fluid flow and blood flow is developed to a tissue containing a two-dimensional cylindrical tumor. The tumor is assumed to be a rigid porous medium with a necrotic core, interstitial fluid and two capillaries with an arterial pressure input and a venous pressure output. The interstitial fluid pressure, velocity, blood pressure as well as velocity are calculated using finite difference method. Results show that the interstitial pressure has a maximum value at the center of the tumor and decreases by moving toward the first capillary. The reduction continues between two capillaries, and interstitial pressure finally decreases in the direction of the tumor perimeter.
Highlights
Cancer is a sophisticated illness which contains phenomena across different scales from the molecular genetic level to the tissue as a whole
Drug delivery has many problems such as two factors that inhibit the effective delivery of drugs within tumors: non-uniform blood supply and non-uniform interstitial pressure distribution (Jain & Baxter, 1988; Jain, 1988)
The blood path inside a real tumor is complicated and includes loops, trifurcations, shunts and dead ends. To simplify such a complex system, a cylindrical tumor with a necrotic core has been modeled in this study which there is no vessel in the necrotic core
Summary
Cancer is a sophisticated illness which contains phenomena across different scales from the molecular genetic level to the tissue as a whole. Most of the cancers are made of solid tumors. Cancerous cells of solid tumors have under gone mutations all of which combined lead to cancer (Welter & Rieger, 2013). Chemo (drug/chemical) therapy, radiation, surgical ablation and hyperthermia methods are options generally available in cancer treatment (Attaluri, Ma, Qiu, Li, & Zhu, 2011). The most important cancer treatment is surgical removal of such tumors, the key to a successful cure often involves efficient delivery of anticancer drugs to the tumor site after the surgery. Drug delivery has many problems such as two factors that inhibit the effective delivery of drugs within tumors: non-uniform blood supply and non-uniform interstitial pressure distribution (Jain & Baxter, 1988; Jain, 1988)
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