Mathematical modelling of comedo ductal carcinoma in situ of the breast.

摘要: The growth of a tumour in cylindrical duct with compliant walls is examined order to model the early stages ductal carcinoma situ (DCIS) breast, earliest known stage breast cancer. A nutrient-limited formulated, which cell movement described by Stokes flow constitutive relation. interactions between expansive forces created proliferation and stresses that develop basement membrane are studied using asymptotic numerical methods. In this way we show how wall deforms as grows also progression along depends upon stiffness wall. By varying key parameters determine treatment, protease production inclusion surrounding stroma affect growth. Finally, discuss biological relevance our results suggest possible directions for future work.