title: Capillary supply regions.
abstract: The diffusion and consumption of substrate from capillaries are basic in human physiology. The general solution for the concentration in a region containing many parallel non-homogeneous capillaries is found. Except in very special cases, capillary supply regions cannot be approximated by Krogh's cylinder or Voronoi polygonal cylinders.
authors.affiliation: Departments of Mathematics and Physiology, Michigan State University, East Lansing, MI 48824, USA. cywang@mth.msu.edu
authors.forename: C Y
authors.initials: CY
authors.lastname: Wang
authors.forename: J B
authors.initials: JB
authors.lastname: Bassingthwaighte
mesh_terms: D002196:Capillaries / Q000502:physiology; D006801:Humans; D008954:Models, Biological; D018482:Muscle, Skeletal / Q000098:blood supply* / Q000502:physiology; D012039:Regional Blood Flow / Q000502:physiology