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- W2780928641 abstract "Synthetic accellular biodresorbable vascular grafts, which can degrade and vanish with time, are an important type of tissue engineered vascular grafts (TEVGs) with great clinical potential for blood vessel replacement surgeries. In order to study the in vitro degradation process of the graft in stationary solvent, a mathematical model is established using mixture theory. Balance laws and jump conditions across singular surfaces are used to determine the moving boundary conditions at surfaces of the vascular graft. The resulting system of equations is a moving boundary problem in the form of second order partial differential equations for the inner and outer domains. Regular perturbation theory is applied for both problems and first order solutions for the two moving boundaries are obtained. To test the accuracy of the approximate solutions, numerical solutions to the full problem are obtained and compared with the perturbation solutions. In vivo, degradation of the scaffold includes blood flow inside the inner domain. At the end of this thesis, we provide a formulation of this more general case." @default.
- W2780928641 created "2018-01-05" @default.
- W2780928641 creator A5050982728 @default.
- W2780928641 date "2017-09-25" @default.
- W2780928641 modified "2023-09-27" @default.
- W2780928641 title "ON SOLUTIONS FOR THE MOVING BOUNDARY PROBLEM DESCRIBING AN ERODING VASCULAR GRAFT" @default.
- W2780928641 hasPublicationYear "2017" @default.
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