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math.AP2025
A hierarchy of blood vessel models, Part II: 3D-3D to 3D-1D and 1D
Laurel Ohm, Sarah Strikwerda
We propose and analyze a hierarchy of three models of blood perfusion through a tissue surrounding a thin arteriole or venule. Our goal is to rigorously link 3D-3D Darcy--Stokes, 3…
math.AP2025
A hierarchy of blood vessel models, Part I: 3D-1D to 1D
Laurel Ohm, Sarah Strikwerda
We propose and analyze a family of models describing blood perfusion through a tissue surrounding a thin blood vessel. Our goal is to rigorously establish convergence results among…