Ideas in Theoretical Biology - Comment About the Fractality of the Lung
It is generally believed, that when the surface/volume ratio is high, fractal structure is expected to exist. The branched fractal structure of the lung has been cited as a “classical” example of this statement. In this short paper I would like to demonstrate that an alternative “lung” structure (namely sponge-like fractal) is at least as good as, or even better than the branched one, concerning this ratio, therefore, the cause of the lung's fractality lies elsewhere.
Unable to display preview. Download preview PDF.
- Ahmed, E. (1998). A comment on fractal surfaces in biology. Acta Biotheoretica 46: 167–168.Google Scholar
- Avnir, D., O. Biham, D. Lidar and O. Malcai (1998). Is the geometry of nature fractal? Science 279: 39–40.Google Scholar
- Barabási, A.-L., S.V. Buldyrev, H.E. Stanley and B. Suki (1996). Avalanches in the Lung: A Statistical Mechanical Model. Physical Review Letters 76: 2192–2195.Google Scholar
- Bassingthwaighte, J.B., L.S. Leibovitch and B.J. West (1994). Fractal Physiology. Oxford University Press.Google Scholar
- Horsfield, K.G., G. Dart, D.E. Olson, G.F. Filley and G. Cumming, (1971). Models of the human bronchial tree. Journal of Applied Physiology 31: 207–217.Google Scholar
- Kaandorp, J.A. (1994). Fractal Modelling: Growth and Form in Biology. Springer-Verlag.Google Scholar
- Mandelbrot, B.B. (1982). The Fractal Geometry of Nature. Freeman.Google Scholar
- Suki, B., A.-L. Barabási, Z. Hantos, F. Peták and H.E. Stanley (1994). Avalanches and power-law behaviour in lung inflation. Nature 368: 615–618.Google Scholar