Fractal geometry in mosaic organs: a new interpretation of mosaic pattern

作者: P. M. Iannaccone

DOI: 10.1096/FASEBJ.4.5.2307328

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摘要: Fractal geometries have been widely observed in nature. The formulation of mathematical treatments non-Euclidean geometry has generated models highly complex natural phenomena. In the field developmental biology, branching morphogenesis explained terms self-similar iterating rules that done much toward explaining branch patterns a range real tissue. solid viscera problem is more complicated because there no readily available marker parenchymal Mosaic pattern provides such marker. patches mosaic liver are shown to be fractal, indicating may arisen from process (i.e., creates an object which small areas representative of, although not necessarily identical to, whole object). This observation offers new analytical approach study biologic structure organogenesis.

参考文章(19)
G Galfrè, G W Butcher, D R Licence, C Milstein, J C Howard, B Wright, Isolation of six monoclonal alloantibodies against rat histocompatibility antigens: clonal competition. Immunology. ,vol. 41, pp. 131- ,(1980)
Ary L. Goldberger, Bruce J. West, Physiology in Fractal Dimensions American Scientist. ,vol. 75, pp. 354- 365 ,(1987)
Michael F Barnsley, Robert L Devaney, Benoit B Mandelbrot, Heinz-Otto Peitgen, Dietmar Saupe, Richard F Voss, Richard F Voss, None, Fractals in nature: From characterization to simulation The Science of Fractal Images. pp. 21- 70 ,(1988) , 10.1007/978-1-4612-3784-6_1
L. Berkwits, P.M. Iannaccone, A microcomputer-based quantitative morphometric analysis system for computing areas of amorphous patches. Computers and Biomedical Research. ,vol. 18, pp. 278- 286 ,(1985) , 10.1016/0010-4809(85)90051-5
Lawrence Bodenstein, A dynamic simulation model of tissue growth and cell patterning Mechanisms of Development. ,vol. 19, pp. 19- 33 ,(1986) , 10.1016/0045-6039(86)90022-9
P.M. Iannaccone, L. Berkwits, J. Joglar, J. Lindsay, A. Lunde, Probabilistic division systems modeling the generation of mosaic fields. Journal of Theoretical Biology. ,vol. 141, pp. 363- 377 ,(1989) , 10.1016/S0022-5193(89)80119-5
Jonathan C. Howard, Geoffrey W. Butcher, Giovanni Galfre, Cesar Milstein, Celia P. Milstein, Monoclonal antibodies as tools to analyze the serological and genetic complexities of major transplantation antigens. Immunological Reviews. ,vol. 47, pp. 139- 174 ,(1979) , 10.1111/J.1600-065X.1979.TB00292.X
Leonard M. Sander, Fractal growth processes Nature. ,vol. 322, pp. 789- 793 ,(1986) , 10.1038/322789A0
Thomas R. Nelson, Morphological Modeling Using Fractal Geometries Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series. ,vol. 0914, pp. 326- 335 ,(1988) , 10.1117/12.968648
P. M. Iannaccone, W. C. Weinberg, The histogenesis of the rat adrenal cortex: a study based on histologic analysis of mosaic pattern in chimeras. Journal of Experimental Zoology. ,vol. 243, pp. 217- 223 ,(1987) , 10.1002/JEZ.1402430207