A rigorous treatment of Richards's mathematical theory of phyllotaxis

作者: Roger V. Jean

DOI: 10.1016/0025-5564(79)90083-X

关键词:

摘要: Abstract This paper is devoted to clarifying definitively the mathematical relations between parameters involved in Richards's centric representation of spirally arranged primordia plants. The are divergence angle, plastochrone ratio, and phyllotaxis index, together with necessary adjustments on approximately conical surface apex; spirals (the so-called parastichies) logarithmic. We give examples discuss, light recent advances, some trials dealing descriptive theory.

参考文章(10)
Wilhelm Hofmeister, Allgemeine Morphologie der Gewächse Engelmann. ,(1868)
Irving Adler, A model of contact pressure in phyllotaxis. Journal of Theoretical Biology. ,vol. 45, pp. 1- 79 ,(1974) , 10.1016/0022-5193(74)90043-5
Irving Adler, The consequences of contact pressure in phyllotaxis Journal of Theoretical Biology. ,vol. 65, pp. 29- 77 ,(1977) , 10.1016/0022-5193(77)90077-7
F. J. Richards, Phyllotaxis: Its Quantitative Expression and Relation to Growth in the Apex Philosophical Transactions of the Royal Society B. ,vol. 235, pp. 509- 564 ,(1951) , 10.1098/RSTB.1951.0007
Julius Sachs, William T. Thiselton-Dyer, Alfred W. Bennett, Text-Book of Botany ,(2010)
Arthur Henry Church, A. H. Church, On the Relation of Phyllotaxis to Mechanical Laws ,(2013)
F.J. RICHARDS, W.W. SCHWABE, CHAPTER TWO – Phyllotaxis: A Problem of Growth and Form Analysis of Growth: Behavior of Plants and their Organs. pp. 79- 116 ,(1969) , 10.1016/B978-0-12-395516-6.50013-9