A mathematical representation of the microvascular network in the bat's wing.
We previously have published a description of a mathematical representation for general vascular networks. In this paper we will illustrate the application of this operator representation to the microvascular network found in the wing web of the bat. We will show that this method follows the rules of vector algebra, it can be used for determination of Orthogonality of two vectors, and can be used in calculating resistance through the microvascular network. The method can also be used for representation of vessel networks in three dimensions.
D000818:Animals; D002685:Chiroptera / Q000033:anatomy & histology*; D008433:Mathematics; D008833:Microcirculation / Q000033:anatomy & histology*; D008953:Models, Anatomic; D014921:Wings, Animal / Q000098:blood supply*