Kassab G S, Rider C A, Tang N J, Fung Y C
Department of Applied Mechanics and Engineering Sciences/Bioengineering, University of California, San Diego, La Jolla 92093-0412.
Am J Physiol. 1993 Jul;265(1 Pt 2):H350-65. doi: 10.1152/ajpheart.1993.265.1.H350.
To establish a mathematical model of the tree like arteries for the purpose of hemodynamic analysis, a complete set of morphometric data of pig coronary arteries is presented. For the purpose of mathematical modeling, three innovations in morphometry are introduced: 1) a rule for assigning the order numbers of the vessels on the basis of diameter ranges, 2) a connectivity matrix to describe asymmetric branching, and 3) a measurement of the fraction of vessel segments connected in series. The morphometric measurements were made with the silicone elastomer-casting method. Data on smaller vessels were obtained from histological specimens by optical sectioning. Data on larger vessels were obtained from vascular casts. The order number, diameter, length, connectivity matrix, and fractions of the vessels of a given order connected in series were measured for all orders of vessels of the right coronary artery and the left anterior descending and left circumflex branches. The data can be used to analyze the longitudinal distribution of blood pressure and volume and spatial distribution of perfusion in myocardium.
为了建立用于血流动力学分析的树状动脉数学模型,本文给出了猪冠状动脉的全套形态测量数据。为了进行数学建模,在形态测量方面引入了三项创新:1)根据直径范围分配血管序号的规则;2)用于描述不对称分支的连通性矩阵;3)串联连接的血管段比例的测量。形态测量采用硅橡胶铸型法。较小血管的数据通过光学切片从组织学标本中获取。较大血管的数据从血管铸型中获取。对右冠状动脉、左前降支和左旋支的所有血管等级,测量了其序号、直径、长度、连通性矩阵以及串联连接的给定等级血管的比例。这些数据可用于分析心肌中血压和容积的纵向分布以及灌注的空间分布。