Optimization of diameters and bifurcation angles in lung and vascular tree structures

Bulletin of Mathematical Biology

Volumn 39, Issue 5, 1977, Pages 509-520

  Uylings, H B M ^a  

^a Central Institute for Brain Research ^*  (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

LUNG CIRCULATION; LUNG MODEL; LUNG VENTILATION;

BLOOD CIRCULATION; BLOOD VESSELS; EVOLUTION; HUMAN; LUNG; MATHEMATICS; MODELS, BIOLOGICAL; MORPHOGENESIS; PULMONARY VENTILATION;

EID: 0017649685     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/BF02461198     Document Type: Article

References (20)

1. Angles of Branching and Diameters of Branches in the Human Bronchial Tree
2. Calculations of Pulsatile Flow across Bifurcations in Distensible Tubes
3. Theoretical Relationship between the Optimal Models of the Vascular Tree
4. Some Contributions to the Mathematical Biology of Blood Circulation. Reflections of Pressure Waves in the Arterial System
5. Physiological Regulation and Control
6. Friction Factors for Pipe Flow
7. The Physiological Principle of Minimum Work, I
8. The Physiological Principle of Minimum Work applied to the Angle of Branching of Arteries
9. Changes in Aortic Distensibility and Area Ratio with the Development of Atherosclerosis
10. Pressure Drop and Fluid Flow Regime of Air inspired into the Human Lung
11. The Principle of Adequate Design
12. Turbulent, Blood Flow in the Ascending, Aorta of Humans with Normal and Diseased Aortic Valves
13. Die mittlere Durchflussmenge der Arterien des Menschen als Funktion des Gefässradius, II
14. Characterizing a Dendritic Bifurcation
15. The Role of Shear Forces in Arterial Branching