Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory

摘要: This paper outlines the framework of a porous flow mixture theory for mathematical modelling in vitro tissue growth, and gives an application this to aspect engineering. The problem is formulated as set partial differential equations governing space time dependence amounts each component (phase), together with physical stresses component. requires constitutive relations specify material properties phase, also developed due mechanical interactions, both within phase between different phases. An given study mobility aggregation population cells seeded into artificial polymeric scaffold. Stability analysis techniques show that interplay forces constituents results two regimes: either form aggregates or disperse through