-
Abstract
Bladder Cancer (BC) is the seventh most common cancer worldwide. Etiology of BC is well known. According to existing statistics, 80% of
BC patients had occupational exposure to chemical carcinogens (rubber, dye,
textile, or plant industry) or/and were smoking regularly during long periods
of time. The carcinogens from the bladder lumen affect umbrella cells of the
urothelium (epithelial tissue surrounding bladder) and then subsequently pen-
etrate to the deeper layers of the tissue (intermediate and basal cells). It is
a years-long process until the carcinogenic substance will accumulate in the
tissue in the quantity necessary to trigger DNA mutations leading to the tumor development. We address carcinogen penetration (modeled as a nonlinear
diffusion equation with variable coefficient and source term) within the cellular
automata (CA) framework of the urothelial cell living cycle. Our approach
combines both discrete and continuous models of some of the crucial biological and physical processes inside the urothelium and yields a first theoretical
insight on the initial stages of the BC development and growth.
Mathematics Subject Classification: Primary: 92C42; Secondary: 92C17, 35K55.
\begin{equation} \\ \end{equation}
-
Access History