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A scattering theory has been proposed to address this in 2D by approximating branches in a network as straight channels, in which the solution flow follow a \"rapid return to Poiseuille flow\" under pressure drop and no-slip wall condition [Wang 2026]. In this talk we will consider the applicability of this approximation in 3D by looking at the asymptotic problems of two specific cases of Stokes flow: when the cylinder is slightly curved (the Dean problem) and when the radius of the cylinder becomes exceedingly thin.\n\nReference: Haiyang Wang, Fredrik Fryklund, Samuel Potter, and Leslie Greengard. Scattering theory for stokes flow in complex branched structures. 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