Schreiner W, Neumann M, Neumann F, Roedler S M, End A, Buxbaum P, Müller M R, Spieckermann P
Second Department of Surgery, University of Vienna, Austria.
J Gen Physiol. 1994 Jun;103(6):975-89. doi: 10.1085/jgp.103.6.975.
The structure of a complex arterial tree model is generated on the computer using the newly developed method of "constrained constructive optimization." The model tree is grown step by step, at each stage of development fulfilling invariant boundary conditions for pressures and flows. The development of structure is governed by adopting minimum volume inside the vessels as target function. The resulting model tree is analyzed regarding the relations between branching angles and segment radii. Results show good agreement with morphometric measurements on corrosion casts of human coronary arteries reported in the literature.
使用新开发的“约束构造优化”方法在计算机上生成复杂动脉树模型的结构。模型树逐步生长,在每个发育阶段都满足压力和流量的不变边界条件。结构的发育以血管内的最小体积为目标函数进行控制。对生成的模型树进行分支角度和节段半径之间关系的分析。结果与文献中报道的人体冠状动脉腐蚀铸型的形态测量结果吻合良好。