This research has as its goal the development and computational implementation of new mathematical models that describe the mechanics of swelling in highly deformable soft biological tissue. Our aim is to create and computationally implement continuum level mathematical formulations that accurately model the relation between swelling, deformation, stress, and key metabolic factors such as nutrients transported by the interpenetrating fluid component within a solid matrix that itself has complex fibrous microstructure. A significant feature of the modeling is that it allows for ongoing change to the fibrous microstructure due to resorption and reassembly so as to treat, for example: inflammation, rearrangement of collagen, and wound healing. Physiological changes that occur in the cervix during childbirth is a particular example that will be modeled in this research. The project will confront mathematical challenges with regard to such modeling so that applied mathematicians and mechanicians who publish consistently in mathematics journals are the natural constituency for evaluating this research. In contrast, biomedical engineers comfortable with existing tissue models are unlikely to be familiar with the specific mathematical challenges involving: multiple reference configurations, global vs. local mathematical constraints, and continua with substructure, that are a fundamental part of the proposed research.