Hyperelastic modeling of swelling in fibrous soft tissue with application to tracheal angioedema

摘要: Angioedema, the rapid swelling of under-skin tissue, is typically triggered by complex biochemical processes that disrupt an original steady state filtration liquid through tissue. Swelling stabilizes once a new achieved in which tissue has significantly increased content. These are controlled events at molecular to cellular length scale. For describing consequences organ level scales it useful invoke consolidated continuum mechanics treatments within generalized hyperelastic framework. We describe challenges associated with such modeling and demonstrate their use context tracheal angioedema. The trachea modeled as two layered cylindrical tube. inner layer outer represent soft mucosal stiffer cartilaginous respectively. Axially oriented fibers contribute anisotropy layer, largely confined this layer. A boundary value problem formulated; existence uniqueness verified. Numerical solutions track airway constriction function swelling.