A GENERALIZATION OF THE OPTIMAL MODELS OF ARTERIAL BRANCHING

被引：46

作者：

ROY, AG ^{[1
]}

WOLDENBERG, MJ ^{[1
]}

机构：

[1] SUNY BUFFALO,DEPT GEOG,BUFFALO,NY 14260

来源：

BULLETIN OF MATHEMATICAL BIOLOGY | 1982年 / 44卷 / 03期

关键词：

D O I：

10.1016/S0092-8240(82)80016-5

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

引用

页码：349 / 360

页数：12

共 16 条

[1]

CARO CG, 1977, P R SOC B, P109

[2] ANGLES OF BRANCHING AND DIAMETERS OF BRANCHES IN HUMAN BRONCHIAL TREE [J].

HORSFIELD, K ;

CUMMING, G .

BULLETIN OF MATHEMATICAL BIOPHYSICS, 1967, 29 (02) :245-+

[3] RELATION BETWEEN DIAMETER AND FLOW IN BRANCHES OF THE BRONCHIAL TREE [J].

HORSFIELD, K ;

THURLBECK, A .

BULLETIN OF MATHEMATICAL BIOLOGY, 1981, 43 (06) :681-691

[4] VESSEL CALIBER AND BRANCH-ANGLE OF HUMAN CORONARY-ARTERY BRANCH-POINTS [J].

HUTCHINS, GM ;

MINER, MM ;

BOITNOTT, JK .

CIRCULATION RESEARCH, 1976, 38 (06) :572-576

[5] OPTIMAL BRANCHING STRUCTURE OF VASCULAR TREE [J].

KAMIYA, A ;

TOGAWA, T .

BULLETIN OF MATHEMATICAL BIOPHYSICS, 1972, 34 (04) :431-438

[6] PHYSIOLOGICAL FLUID DYNAMICS - SURVEY [J].

LIGHTHILL, MJ .

JOURNAL OF FLUID MECHANICS, 1972, 52 (APR) :475-+

[7] A relationship between circumference and weight in trees and its bearing on branching angles. [J].

Murray, CD .

JOURNAL OF GENERAL PHYSIOLOGY, 1927, 10 (05) :725-729

[8] The physiologtcal principle of minimom work I The vascular system and the cost of blood volume [J].

Murray, CD .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1926, 12 :207-214

[9] The physiological principle of minimum work applied to the angle of branching of arteries. [J].

Murray, CD .

JOURNAL OF GENERAL PHYSIOLOGY, 1926, 9 (06) :835-841

[10]

SINGHAL SS, 1972, THESIS U BIRMINGHAM

← 1 2 →