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B. West, V. Bhargava, A. Goldberger (1986)
Beyond the principle of similitude: renormalization in the bronchial tree.Journal of applied physiology, 60 3
E. Weibel, D. Gómez (1962)
Architecture of the Human LungScience, 137
G. West, James Brown, B. Enquist (1997)
A General Model for the Origin of Allometric Scaling Laws in Biology, 276
M. Canals, R. Olivares, F. Labra, F. Novoa (2000)
Ontogenetic changes in the fractal geometry of the bronchial tree in Rattus norvegicus.Biological research, 33 1
A. Kamiya, T. Togawa, A. Yamamoto (1974)
Theoretical relationship between the optimal models of the vascular treeBulletin of Mathematical Biology, 36
C. Murray (1931)
THE PHYSIOLOGICAL PRINCIPLE OF MINIMUM WORKThe Journal of General Physiology, 14
Ewald Webel, C. Taylor, L. Bolis (1998)
Principles of Animal Design: The Optimization And Symmorphosis Debate
M. Zamir (1986)
Cost analysis of arterial branching in the cardiovascular systems of man and animals.Journal of theoretical biology, 120 1
M. Canals, R. Olivares, Fabián Labra, L. Caputo, A. Rivera, Francisco Novoa (1998)
CARACTERIZACION DE LA GEOMETRIA FRACTAL DEL ARBOL BRONQUIAL EN MAMIFEROS, 16
M. Canals, C. Atala, R. Olivares, F.F. Novoa, M. Rosenmann (2002)
Departures from the optimality in the bronchial tree of rats (Rattus norvegicus)Biological Research, 35
E. Weibel (1965)
Morphometry of the Human LungAnesthesiology, 26
M. Canals, C. Atala, R. Olivares, F. Novoa, M. Rosenmann (2002)
The asymmetry and the optimization degree of the airway of rattus norvegicus and oryctolagus cuniculusRevista Chilena de Historia Natural, 75
J. Staddon (1982)
Optima for animals
M. Zamir (1978)
Nonsymmetrical bifurcations in arterial branchingThe Journal of General Physiology, 72
R. Dudley, C. Gans (1991)
A Critique of Symmorphosis and Optimality Models in PhysiologyPhysiological Zoology, 64
B. Mandelbrot (1984)
Fractal Geometry of Nature
E. Weibel, And TAYLOR, H. Hoppeler (1991)
The concept of symmorphosis: a testable hypothesis of structure-function relationship.Proceedings of the National Academy of Sciences of the United States of America, 88 22
R. Ramchandani, J. Bates, X. Shen, B. Suki, R. Tepper (2001)
Airway branching morphology of mature and immature rabbit lungs.Journal of applied physiology, 90 4
Theodore Wilson (1967)
Design of the Bronchial TreeNature, 213
John Maina, Peter Gils (2001)
Morphometric characterization of the airway and vascular systems of the lung of the domestic pig, Sus scrofa: comparison of the airway, arterial and venous systems.Comparative biochemistry and physiology. Part A, Molecular & integrative physiology, 130 4
M. Zamir (1976)
Optimality principles in arterial branching.Journal of theoretical biology, 62 1
Hiroko Kitaoka, B. Suki (1997)
Branching design of the bronchial tree based on a diameter-flow relationship.Journal of applied physiology, 82 3
Keith Horsfield (1990)
Diameters, generations, and orders of branches in the bronchial tree.Journal of applied physiology, 68 2
A. Thurlbeck, K. Horsfield (1980)
Branching angles in the bronchial tree related to order of branching.Respiration physiology, 41 2
(1998)
Conceptual and methodological issues in testing the predictions of symmorphosis
J. Andrade, A. Alencar, M. Almeida, J. Filho, S. Buldyrev, S. Zapperi, H. Stanley, B. Suki (1998)
Asymmetric Flow in Symmetric Branched StructuresPhysical Review Letters, 81
R. Glenny, H. Robertson (1990)
Fractal properties of pulmonary blood flow: characterization of spatial heterogeneity.Journal of applied physiology, 69 2
J. Rigaut (1984)
An empirical formulation relating boundary lengths to resolution in specimens showing ‘non‐ideally fractal’ dimensionsJournal of Microscopy, 133
(1998)
Optimality in the design of bony elements
H. Kitaoka, R. Takaki, B. Suki (1999)
A three-dimensional model of the human airway tree.Journal of applied physiology, 87 6
K. Horsfield, G. Cumming (1968)
Morphology of the bronchial tree in man.Journal of applied physiology, 24 3
E. Weibel, C. Taylor, H. Hoppeler (1992)
Variations in function and design: testing symmorphosis in the respiratory system.Respiration physiology, 87 3
T. Nelson, Bruce West, A. Goldberger (1990)
The fractal lung: Universal and species-related scaling patternsExperientia, 46
M. Canals, C. Atala, R. Olivares, F. Novoa, M. Rosenmann (2002)
Departures from the physical optimality in the bronchial tree of rats (Rattus norvegicus).Biological research, 35 3-4
J. McNamee (1991)
Fractal perspectives in pulmonary physiology.Journal of applied physiology, 71 1
Mair Zamir, D. Bigelow (1984)
Cost of departure from optimality in arterial branching.Journal of theoretical biology, 109 3
C. Murray (1926)
The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume.Proceedings of the National Academy of Sciences of the United States of America, 12 3
(1915)
Flow resistance in human air passages and the effect of irregular branching of the bronchial system on the respiratory process in various regions of the lungs
L. Bacigalupe, F. Bozinovic (2002)
Design, limitations and sustained metabolic rate: lessons from small mammals.The Journal of experimental biology, 205 Pt 19
(2002)
La asimetría y el grado de optimización del árbol bronquial en Rattus norvegicus y Oryctolagus cuniculus
C.D. Murray (1926)
The physiological principle of minimum workProceedings of the National Academy of Science USA, 12
K. Horsfield, G. Dart, Olson De, G. Filley, G. Cumming (1971)
Models of the human bronchial tree.Journal of applied physiology, 31 2
The design of the bronchial tree has largely been proposed as a model of optimal design from a physical-functional perspective. However, the distributive function of the airway may be more related to a geometrical than a physical problem. The bronchial tree must distribute a three dimensional volume of inspired air on a two dimensional alveolar surface, included in a limited volume. It is thus valid to ask whether an optimal bronchial tree from a physical perspective is also optimum from a geometrical point of view.
Acta Biotheoretica – Springer Journals
Published: Oct 18, 2004
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