MODELING THE EVOLUTION OF A TUMORAL MULTICELLULAR SPHEROID AS A TWO-FLUID BINGHAM-LIKE SYSTEM

摘要: In this paper we propose a model for the evolution of tumor spheroid assuming structure in which central necrotic region contains an inner liquid core surrounded by dead cells that keep some mechanical integrity. This partition is consequence finite delay required degradation into liquid. The phenomenological assumption constant local volume fraction also made. above coupled with two-phase views cell component as Bingham-like fluid and extracellular inviscid fluid. By imposing continuity normal stress throughout whole spheroid, can describe characterize possible steady state. Depending on values parameters, predicts either toward state or unbounded growth. An existence uniqueness result has been proved under suitable assumptions, along qualitative properties solution.