title: A geometric description of the urinary bladder of Turkish shepherd dog (Karabaş).
abstract: In this study, a geometric and experimental work of the urinary bladder of a dog is presented. Experimentally, the diameters on the neck (collum vesicae region), the body (corpus vesicae region), the bottom (apex region) and the longitudinal length of the urinary bladder were measured. Geometrically it was shown that the urinary bladder is comparable with a surface of revolution of a planar (profile) curve. On the same regions of the modelled surface the diameters of the horizontal sections have been measured. It was found that the geometric and the experimental values were closely related. Further the Gaussian curvature K at certain points on the same regions of the modelled surface was calculated. The quadratic approximations of the urinary bladder surface was described with the sign of K at those points.
authors.affiliation: Department of Mathematics, Faculty of Art and Science, Uludag University, 16059 Bursa, Turkey.
authors.forename: Ridvan
authors.initials: R
authors.lastname: Ezentaş
authors.forename: Kadri
authors.initials: K
authors.lastname: Arslan
authors.forename: Hüseyin
authors.initials: H
authors.lastname: Yildiz
authors.forename: Bahri
authors.initials: B
authors.lastname: Yildiz
authors.forename: Cengizhan
authors.initials: C
authors.lastname: Murathan
mesh_terms: D000818:Animals; D004285:Dogs / Q000033:anatomy & histology*; D008297:Male; D008962:Models, Theoretical; D016011:Normal Distribution; D009929:Organ Size; D012984:Software; D001743:Urinary Bladder / Q000033:anatomy & histology*