人体气管水肿数学建模以及数值计算

报告题目:人体气管水肿数学建模以及数值计算 

报告人:苟坤,Texas A&M University-Kingsville 

时间:2017年7月7日,9:00-10:30 

地点:知新楼B1032 

报告摘要: 

The human trachea is our airway by which we breathe air into the lungs. When angioedema (swelling of the soft tissue) occurs in the trachea, the swelling can rapidly narrow the airway, reduce air transportation and thus lead to a life-threatening condition. However, the accurate quantitative relation between swelling and both the airway narrowness and its deformation remains unknown. This present modeling aims at resolving this issue. The airway with multiple parts is treated as a continuum organ, and hyperelastic continuum mechanics is employed in such modeling. First, we consider the airway to be an idealized cylindrical tube, and study a 1-D problem for convenience of mathematical analysis. Then we consider a more practical 3-D airway geometry extracted from realistic biomedical images, where numerical finite element formulation is used to obtain the solution. Airway constriction and the internal stress distribution are tracked as functions of the swelling effect. This modeling provides a sound continuum mechanical foundation that facilitates our understanding of airway swelling for a better treatment of the disease.